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1
EXPERIMENTAL PERFOMANCE EVALUATION OF
CHARCOAL-STOVE
BY
USMAN, OJONIMI YUSUF
REG.NO. PG/M.ENG/02/32816
DEPARTMENT OF MECHANICAL ENGINEERING
UNIVERSITY OF NIGERIA
NSUKKA
MAY 2011
2
EXPERIMENTAL PERFORMANCE EVALUATION OF
CHARCOAL-STOVE
A PROJECT REPORT SUBMITTED TO THE DEPARTMENT
OF MECHANICAL ENGINEERING UNIVERSITY OF
NIGERIA, NSUKKA IN PARTIAL FULFILLMENT OF THE
REQUIREMENTS FOR AWARD OF DEGREE OF MASTER
OF ENGINEERING (M.ENG.) IN MECHANICAL
ENGINEERING (ENERGY AND POWER TECHNOLOGY
OPTION)
BY
USMAN, OJONIMI YUSUF
REG. NO. PG/M.ENG/02/32816
SUPERVISOR: PROF. S.O. ENIBE
DEPARTMENT OF MECHANICAL ENGINEERING
UNIVERSITY OF NIGERIA,
NSUKKA
MAY 2011
3
CERTIFICATION
This is to certify that this work “Experimental Performance Evaluation Of
Charcoal Stove” is an original work by the student, Usman, Ojonimi Yusuf
withRegistration number PG/M.ENG./02/32816.
He has met the requirements in course work and in research work for the award
of the Master of Engineering, (M.Eng.) Degree in Mechanical Engineering.
______________________________ _____________ Prof. S.O. Enibe Date
(Supervisor)
______________________________ _____________ Prof. S.O. Onyegegbu Date
(Head of Department)
______________________________ _____________ External Examiner Date
4
DEDICATION
This work is dedicated to my wife and children and all who stood by my family
in the course of this study which was painfully prolonged by a number of bitter
circumstances.
5
ABSTRACT
An experimental evaluation of the performance of a charcoal stove designed to reduce human labour and health hazards associated with frying in open fire was carried out. The channel- type metallic stove was lagged with 2.54 mm thick glass wool. The charcoal grate is 160 mm from the floor and has 44 holes of 12 mm diameter each to serve as air holes and provide passage for ashes, drilled in it. The charcoal bed is 230 mm from the bottom of the pot and the channel gap is 8mm. A 300 mm high chimney of diameter 50 mm to enhance draft was incorporated. The stove has an internal diameter of 417 mm and a height of 460 mm. Water boiling tests were carried out in order to generate the data required for assessing the stove’s performance indices such as fire power, specific consumption and percent heat utilized. Evaluation of performance indices shows an average fuel firepower (f.p.) of 7.59 KW, an average specific fuel consumption (s.c.) of 0.11 Kg/kW hr, and an average percent heat utilized (p.h.u.) of 15% (or 15% thermal efficiency). The recorded experimental data shows that an average amount of 0.43 kg of charcoal would be required to be burnt for an average of twenty nine minutes to bring 3.6 kg of water to boil. The tests yielded an efficiency of 15%. Based on the results of the study, it can be seen that the performance of the charcoal stove is better than the traditional three-stone open fire reported to have efficiency of about 10%
6
ACKNOWLEDGEMENTS
To have come this far is entirely by the grace of God and the support of
His ‘channels of blessings’. A few of such willing vessels of God’s favour are
acknowledged below.
I reserve sincere thanks to the Chairman and members of Federal
Polytechnic, Idah “Staff Development Board” for permitting me to go on
course for 12 months. Equally remembered are my former Heads of
Department, Eng’rs O.A. Adeleye and J.N. Onyejizu, Dr. D.O. Bello, for his
generous and ready counsels and my colleagues who have had to stand in for
me many times when I had to travel to Nsukka.
Fondly remembered is my project supervisor, Prof. S.O. Enibe who has
been a great source of inspiration to me. His consistent display of Christian
virtues in his day-to-day discharge of his official duties has made him a role
model to me. I appreciate my colleagues in the Department of Mechanical
Engineering, Energy and Power Technology option, 2002/2003 set, especially
my bossom friend, late Bro. Ndubuisi Onuoha and Dr & Mrs. Jonathan
Obianuko.
7
Affectionately remembered are the brethren of “Graduate Students
Fellowship”, 2002/2003 set; Rev.-Dr. Daniel Ozioko, senior pastor of
Prevailing Word Assembly, members of the Prevailing Word Assembly,
Nsukka, and Dr. Alhassan Jibrin of Physics and Astronomy Department,
U.N.N., for accommodating me during my first few days in Nsukka.
My sincere love to my wife and children ( Favour, Precious, Destiny and
the little one who died few hours to delivery), for all the lonely days and nights
they spent without “Daddy”, their prayers and other sacrifices they made.
Equally remembered are the loving members of my ministries, “Prayer &
Evangelism Ministries”, for all their prayers that God answered by seeing me
through this long programme, the many services during which they expected
their pastor to minister but could not because of this study and their financial
and material support.
I appreciate my parents for their understanding, prayers and patience.
Finally, I thank all whom I could not name in this report but were used by God
to give me a push in this programme. May the blessings of the Lord rest upon
you all and I pray you do not faint in well-doing, for in due season you will reap
the reward.
8
TABLE OF CONTENTS Content page Certification………………………………………………iii
Dedication……………………………………………….iv
Abstract………………………………………………….v
Acknowledgements…………………………………..….vi
Table of contents…………………………………..…….viii
List of figures……………………………………………xii
List of tables…………………………………………….xiv
Symbols…………………………………………………xv
Greek notations………………………………………….xvii
Subscripts……………………………………………….xviii
Superscripts……………………………………………..xviii
CHAPTER ONE
1.0 INTRODUCTION
1.1 Problem identification……………………..…1
1.2 Objectives of the research…………………....6
CHAPTER TWO
2.0 LITERATURE REVIEW
2.1 Stove technology ……………………………7
9
2.2 Gas stoves………………………………….….11
2.3 Electric stoves…………………………………13
2.4 Wood and charcoal stoves……………………..13
2.4.1 Inverted frustum metal stoves…………………14
2.4.2 Channel type stove…………………………….15
2.4.3 Improved charcoal stoves……………………...16
2.5 Kerosene and other stoves……………………..21
CHAPTER THREE
3.0 DESIGN PARAMETERS AND ENERGY BALANCE
CALCULATIONS
3.1.0 Theoretical analysis of charcoal combustion
Characteristics…………………………………..23
3.1.1 Determination of stoichiometric air-fuel ratio…..24
3.1.2 Analysis of the dry products of combustion…….27
3.2.0 Maximum theoretical temperature……………... 30
3.2.1 Determination of adiabatic flame temperature…..30
3.3 Conductive heat transfer…………………………46
3.4 Reducing wall losses……………………………..52
3.5 Convective heat transfer………………………….52
3.6 Determination of convective heat transfer
Coefficient………………………………………..53
10
3.7 Radiative heat transfer…………………………….54
3.8 Energy balance calculations……………………….56
3.9 Energy balance of pot and content………………...64
3.10 Energy balance of stove wall………………………74
3.11 Energy balance across the combustion chamber…...80
3.12 Stove template design………………………………84
3.13 The grate and air holes……………………………..85
3.14 Door………………………………………………..87
3.15 Ash tray…………………………………………….87
CHAPTER FOUR
4.0 STOVE TESTING AND DATA ANALYSIS
4.1 Materials and equipment…………………………94
4.2 Methodology……………………………………..95
4.3 Experimental design……………………………..95
4.4 Method of data analysis…………………………97
4.5 Moisture content determination…………………98
4.6 Locations of thermocouples on the stove
during the tests…………………………………..100
4.7 Data analysis……………………………………..101
4.8 Discussion of results……………………………..113
4.9 Conclusion…………………………………….....115
11
4.10 Recommendations……………………………….115
References………………………………………………117
12
LIST OF FIGURES
FIGURE PAGE
Fig 1 Glass ceramic cook top………………………………..5
Fig. 2.1 Raised kamado stove…………………………………9
Fig. 2.2 Gas stove…………………….……………………….12
Fig. 2.3 Inverted fustrum metal stove………………………..14
Fig. 2.4 Channel type charcoal stove…………………………16
Fig. 2.5 Megan chulha stove…………….……………………..17
Fig. 2.6 Lorena stoves disseminated in Guatemala...………....18
Fig. 2.7 Wood stove developed in Senegal(Ban Ak suff)..……19
Fig. 2.8 Metal jiko stoves…………………...………………….20
Fig. 3.1 Thermal resistance network………………………...…48
Fig. 3.2 Schematic diagram showing pot and content
energy balance…………………………….………….64
Fig. 3.3 Heat conduction through the pot wall……………….64
Fig. 3.4 Schematic diagram of the stove..…………………….74
Fig. 3.5a Stove’s outer wall template……………..………….86
Fig. 3.5b Stove’s inner wall template…………………………86
Fig. 3.6 Door……………………………………….……..…..88
Fig. 3.7 Ash tray………………………………………………88
13
Fig. 3.8 Isometric drawing of the charcoal stove……………89
Fig. 3.9 Orthographic projection of the charcoal stove……..90
Fig. 3.10 Photograph of the constructed stove showing
the grate, chimney, door and air holes……………..91
Fig. 3.11 Stove’s photograph showing the door
closed and air inlets open…………………………92
Fig. 3.12 Photograph of the constructed stove
showing the door opened………………………..…93
Fig. 4 Location of thermocouples on charcoal
stove during the tests……………………………….100
14
LIST OF TABLES
TABLES PAGE
Table 3.1 Composition of charcoal by mass……………….….23
Table 3.2 Analysis of the ultimate composition of charcoal...... 26
Table 3.3 Analysis of products of combustion...……………….27
Table 3.4 Volumetric analysis of the products (1)..……………28
Table 3.5 Volumetric analysis of the products (2)..……………29
Table 3.6 Constants for heat capacity equations….……………58
Table 3.7 Constants for heat capacity equations
shown in matrix format……………………………..59
Table 4.1 Charcoal moisture content…………………….……...98
Table 4.2 Laboratory test data sheet for charcoal stoves……..…101
Table 4.3 Data obtained for stove test 1……………………...….103
Table 4.4 Data obtained for stove test 2……………………...….104
Table 4.5 Data obtained for stove test 3……………………...….107
Table 4.6 Data obtained for stove test 4……………………...….109
Table 4.7 Data obtained for stove test 5……………………...….110
Table 4.8 Data obtained for stove test 6……………………...….111
Table 4.9 Summary of computed results……………………...…112
15
SYMBOL NUMENCLATURE
∆H Change in enthalpy
∆U Change in internal energy
0C degree Celsius
A area of material
A/F Air-fuel
C length of the pan around at its widest circumference.
C Carbon
CC calorific value of charcoal.
CO2 Carbon dioxide
Cpi mean specific heat at constant pressure of the constituent, i.
cw combustion wall
dT change in temperature
e emissivity
f.p. fire power
G pot-to-wall channel gap
h heat transfer coefficient
H Hydrogen (atom)
Hf enthalpy
K Kelvin
16
K thermal conductivity
Kg Kilogram
KW KiloWatt
M metre
mi mass of constituent, i
mm millimeter
n moles
N Nitrogen (atom)
N2 Nitrogen
O2 Oxygen
p.h.u. percent heat utilized
Q Heat supplied
QF mass of charcoal after boiling has taken place
Qi mass of charcoal before boiling takes place.
R thermal resistance
Ractual Actual air-fuel ratio
Rstoic Stoichiometric air-fuel ratio
S thickness of metal used for producing pot.
S.C. Specific consumption
t temperature
Ta ambient temperature
Tf film temperature
17
Ti inlet temperature
To outlet temperature
Tr reference temperature
U Internal energy
W width of the cylindrical stove template
W Work
X, x, L thickness of material
Xp Percentage excess air
GREEK NOTATIONS
∑ summation
∞ infinity
ᵦ coefficient of thermal expansion
σ Stephan Boltzman’s constant
SUBSCRIPTS
0 reference/initial
1 initial
2 final
P products
R reactants
18
SUPERSCRIPTS
b constant
19
CHAPTER ONE
1.0 INTRODUCTION
1.1 PROBLEM IDENTIFICATION
One of the earliest sources of energy utilized by man was his own
muscle. Food, water and other loads were borne by the arm, head,
shoulder or back. Latter, animals such as dogs, donkeys, oxen and
mules, etc were used as beasts of burden. Next to that was the
discovery of fire, probably obtained by striking rocks together. The fire
was used to cook food, keep warm, clear bush, preserve farm produce,
harden pottery for bowls and produce tools from metals. Subsequently,
other sources of energy such as solar energy, wind energy, electrical
energy, nuclear energy and fossil fuels were discovered (Sutkhame,
1990 ).
The energy available to us can be divided into two main groups
based on their sources. These are renewable and non-renewable
sources. Renewable energy is obtained from animals and plants in the
form of food, wood, and alcohol. These can be replaced when more is
20
needed and are in the form of solar energy, wind energy, tidal or
geothermal energy. Non renewable energy belongs to that group of
energy that cannot be replaced once utilized. Examples are coal, oil and
natural gas. These are known as fossils (Wikipedia, 2006).
The energy at man’s disposal is limited in supply. It is now an
indisputable fact that our energy consumption habit which has been with
us for many years cannot be treated with levity as our fossil fuel
resources are being depleted at a fast rate. This consumption pattern
has sky-rocketed the cost of conventional sources of energy with its
observable side effects on our industries, domestic lives, agricultural
production and commerce.
It is a well-known fact that more than half of the people in third
world countries depend heavily on bio-fuels such as charcoal, fuel wood,
crop residues and dung to meet their energy requirement for cooking.
Going by the persistent low level of poverty and under-developments in
these countries, it is unlikely that a major transformation to the use of
petroleum fuels and electricity would be effected in the near future.
21
Due to poor storage facilities and inefficient transportation system,
much of farmers’ produce are wasted after harvest even in the face of
bumper harvests. In view of the Nigerian government’s recent “Cassava
for Export Programme”, it is hoped that production of cassava will
witness a boom and that calls for prudent handling of the fruits of the
programme for it to yield the expected results.
Garri frying is a means of processing and preserving cassava. First
the cassava tuber is harvested, peeled, washed and grated using a
cassava grating machine. The grated cassava is then stored in a sack or
other containers that will allow the fluid to drain for days depending on
the quality of the garri to be produced. Sometimes a screw jack is
employed to facilitate the squeezing of the sack containing the grated
cassava. In the rural areas, the sacks containing the grated cassava are
placed on logs of wood or stones and heavier logs of wood or stones are
placed on them. Around the third day, the dried and fermented cassava
is brought out of the sacks, sieved and dried in a frying pan.
The use of fuel wood has a tendency to aggravate the current
state of deforestation. In the attempt to combat deforestation which
leads to loss of forest cover and environmental degradation, many
programmes have been put in place to conserve the supply and
production of fuel-wood. Such measures include planting of fast growing
22
trees, better land management and fuel importation. These programmes
have not produced the anticipated magic.
The United Nations Food and Agricultural Organization (UNFAO)
cited four causes of global deforestation which are: Shifting agriculture,
opening pasture land to grow beef for export, commercial timber
operation including timber access roads and uncontrolled bush burning.
(Baldwin,1987). The foregoing shows that the use of charcoal for
cooking is not a primary cause of deforestation on the global scale.
Undoubtedly, the effect may become significant in urban areas and in
arid regions where demand for fuel wood is high and the biomass
productivity of the land is small.
A restrained use of charcoal as fuel is a way of limiting energy
losses due to the utilization of fuel woods. The petroleum fuels are non-
renewable and scarce in supply. Prudent domestic use of charcoal as
fuel helps in making more petroleum fuels available for industrial and
heavy duty purposes.
A stove can be defined as a heat-producing device. The word
describes an appliance employed either for cooking or for generating
warmth. In British English, however, the term cooker is normally used for
23
cooking appliance and stoves for wood- or coal-burning units in room-
heating devices. According to Wikipedia (2006), another American
English word for a cooking stove is range.
There are many kinds of stoves. A kitchen stove is used to cook
food, and refers to a device that has both burners on the top (also known
as the cook top or range or, in British English, the hob) and, often, an
oven. A cook top just has burners on the top and is usually installed into
a counter top as shown in fig. 1.1.
Fig. 1.1 Glass-Ceramic cook-top
(Source: Stove-Wikipedia, the free encyclopedia)
A drop-in range has both burners on the top and an oven and hangs
from a cutout in the counter top (that is, it cannot be installed free-
standing in its own). In industrial usage, stove may refer to the place
24
where fuel is burnt before the heat is fed to a large heat consumer such
as an open hearth furnace.
A stove generates heat by one or more of the following means:
A) Burning of natural gas, liquefied gases (e.g. Propane, butane),
heating oil, bio-fuel (such as wood, coal, corn) or synthetic heating
pellets.
B) Electrically, by either electrical resistance (by way of a heating
element) or induction (Wikipedia, 2006).
1.2 OBJECTIVES OF THE RESEARCH
1) To design and construct a channel type, metallic charcoal
stove.
2) To lag the combustion chamber with the view to reducing
excessive heat loss and health discomfort associated with un-
lagged single-wall metallic stoves.
3) To evaluate the performance of the constructed stove in terms
of fire power, specific fuel consumption and percent thermal
efficiency.
25
CHAPTER TWO
2.0 LITERATURE REVIEW
2.1 STOVE TECHNOLOGY DEVELOPMENT
The history of kitchen stove in Europe began in earnest in the 18th
century. People cooked in open fires fuelled by wood prior to that time, on the
ground or on low masonry constructions. Waist-high brick-and-mortar hearths
and the first chimneys appeared in the middle ages, so that cooks no longer had
to kneel or sit to attend to foods on the fire. Cooking was effected principally on
cauldrons hung above the fire or placed on trivets. The heat control was effected
by placing the caldrons higher or lower above the fire. (Wikipedia, 2006).
Three major disadvantages of open fire that prompted inventors as far
back as 16th century to device improvements are: it is dangerous; it produces
much smoke and has poor thermal efficiency. Attempts were made to enclose
the fire to make better use of the heat that is generated and thus reduce the wood
consumption. A first step was the fire chamber, the fire was enclosed on three
sides by bricks-and-mortar walls and covered by an iron plate.
This technique also caused a change in the kitchen ware used for cooking, for it
required flat-bottomed pots instead of caldrons. Only in the year 1735 did the
first design that completely enclosed the fire appear; the castrol/stove of the
26
French architect Francois Cuvillies was a masonry construction with several fire
holes covered by perforated iron plates. It is also called stew stove. Near the end
of the 18th century, the design was refined by hanging the pots in holes through
the top iron plate, thus improving heat efficiency even more (Wikipedia, 2006).
Chinese and Japanese Civilization had, much earlier, discovered the
principle of closed stove. Clay stoves that enclosed the fire completely were
already known from the Chinese Qin Dynasty, (221BC - 206/207 BC), Kamado,
similar in design to the Qin, appeared in the Kofun period (3rd – 6th century BC)
in Japan (Wikipedia, 2006). These stoves employed wood or charcoal as fuel.
The stoves were fired through a hole in the front. In the two designs, pots were
hung into or placed over the holes at the top of the knee-high stove. During the
Edo period (1603 – 1867 BC), raised Kamados, fig. 2.1, were developed in
Japan. (Wikipedia, 2006).
27
Fig. 2.1: Raised Kamado stove
(Source: Stove-Wikipedia, the free encyclopedia)
After the discovery of fire by man, open fireplace served as a veritable
source of light before lamps were discovered. The open fireplace is inefficient
on two counts. One, a large updraft pulling air (and consequently heat) out of
the chimney is required in order to prevent air and smoke from spilling back
into the room. That is to prevent the discomfort such fire users are exposed to.
The updraft both draws heat away and draw air from the entire house through
the chimney.
28
Two, in an open fire, some of the combustible gas coming off the wood escapes
and thus is lost not being ignited. The resolution of these problems led to the
development of masonry heaters, and then metal stoves came into use in the 18th
century (Wikipedia, 2006).
The Franklin stove believed to have been invented by Benjamin Franklin
in 1742, is an early and famous example of wood burning metal stove. The
stove was not designed for cooking but house heating. In the 19th century,
Benjamin Thompson was among the first to present a working useful kitchen
stove. His Rumford stove used one fire to heat several pots that were also hung
into holes so that they could be heated from the sides too. Each hole had heat
regulator. Rumford stove was designed to serve large canteen or castle kitchens.
The stove was not suitable for domestic use until after another 30 years
following reduction in the size of the iron stove and subjecting the technology
to thorough improvement.
The regulation of air in-flow into the metal stove to allow only the
amount required for complete combustion, results in reduction of air flow.
Modern wood and charcoal stoves also increase the completeness of
combustion. Catalytic converters which aid the gas and smoke particles not
really burned to combust are used in more expensive stoves. Other models
29
designed to produce complete combustion and hence improve efficiency use
designs such as firebox insulation ( as in this project), a large baffle to produce
longer, hotter gas flow path, pre-heating the air prior to its entering the
combustion chamber, and the use of radiation shields under the combustion
chamber.
A window is incorporated in the design of modern enclosed stoves to let
out some light and to aid the user assess the progress of the fire. The window is
usually constructed using glass or semi-translucent manufactured mica.
2.2 Gas stoves
Other types of stoves are fuelled by gas and electricity. The first gas
stoves were developed already in the 1820s but these were not widely used
(James Sharp in Northampton, England, patented a gas stove in 1826 and
opened a gas stove factory in 1836). At the World Fair in London in 1851, a gas
stove was shown but only in 1880s did this technology start to become a
commercial success. The main reason for this delay was the slow growth of the
gas pipe network. The gas stove technology underwent further development
until the invention in 1922 of a high-end gas stove called the AGA cooker by
Swedish Nobel prize winner Gustaf Dalen. This stove is considered to be the
30
most efficient design and is a much sought after kitchen “must have” in certain
circles-despite the hefty price tag. In the Third World countries, domestic gas
stove application is hunted by high cost and inadequate supply of gas
(www.en.wikipedia.org/wiki/stove, 2006. A typical gas stove is shown in fig.
2.2.
Fig.2.2: Gas stove
(Source:www.en.wikipedia.org/wiki/stove)
31
2.3 Electric stoves
In 1892, Thomas Ahearn invented the electric cooking range, one of
which was installed in the Windsor Hotel in Montreal. This electric stove was
shown at the Chicago World’s Fair in 1893, where an electrified model kitchen
was showcased. The electrical stove technology has developed in several
successive generations resulting in the emergence of resistor heating coils
(which heated iron hotplates), glass ceramic cook tops and induction stoves.
The spread of electric stove in underdeveloped countries is slow because many
towns and villages are not electrified. Also many in the underdeveloped
countries are living below the poverty line so they cannot afford this improved
efficient stove.
2.4 WOOD AND CHARCOAL STOVES
This research work is a practical contribution to the global effort to
reduce the burden borne by rural poor in their bid to meet the energy
requirement for daily cooking, processing and preservation of farm produce.
The use of fire has been with man for a long time now. Early discoverers of fire
used it for hunting, clearing of land for agriculture, cooking, among other uses.
Charcoal stoves have been constructed using materials such as metal, clay and
ceramic. The stoves could be single pot or multi-pot.
32
2.4.1 INVERTED FRUSTUM METAL STOVE
This stove is made up of metal and the shape is that of an inverted
frustum of a square pyramid as shown in figure 2.3. A square or rectangular
base having an air hole cut in it serves as the stand. The common defects of this
design are poor draft, blocking of air holes and poor efficiencies resulting from
excessive heat loss. Appropriate sizing of the air holes and careful insulation
will improve the stove performance (Baldwin, 1987).
Fig. 2.3: Inverted frustum charcoal stove
Air hole
33
2.4.2 CHANNEL TYPE STOVE
The channel type stoves are stoves whose combustion chambers are
cylindrical (fig. 2.4). That implies uniform cross-sectional area along the length
of the combustion chamber. The material for the combustion chamber could be
clay or metallic depending on design considerations and purpose. The clay type
is usually fired after moulding to improve its hardness while the metallic type is
normally painted to discourage rust. They clay type is susceptible to breakage
either at the point of application or in the course of transportation. The stove
body has a tendency to store a lot of heat and that affects the amount of heat that
is made available to the pot. A very outstanding advantage of the clay type is
that the stove wall serves as heat shield to the user.
The metal type obviously is lighter and conducts heat faster than the clay
type. The higher heat conduction rate exposes the user to danger of being burnt,
unless properly lagged. The metallic type is more portable and durable, hence
the choice for this work.
34
Fig. 2.4: Channel type charcoal stove
2.4.3 IMPROVED CHARCOAL STOVES
The apparent ineffectiveness of several of government’s measures and
other sectors in stemming the pain the rural poor bear, stirred some Non-
Governmental Organizations (NGOs) involved in basic needs programmes and
rural development at household level to develop and disseminate relevant
energy alternatives by focusing on stoves. Their efforts are yielding results in
Africa, India and other third world countries. An example is the Megan Chulha,
fig. 2.5, which was developed in 1947 by the AU – India Village Industries
association,(SCNCER).
35
Fig. 2.5: Magan chulha stove
(Source: ASEAN SUB COMMITTEE ON NON-CONVENTIONAL ENERGY RESEARCH, (SCNCER))
In SriLanka, improved woodstove were developed by Sarvodaya Meluib,
Horena, Tunaku. In Senegal, the Centre of Studies and Research on Renewable
Energy (CERER) at the University of Dakar, started an energy saving
programme initiated by a French and Senegalese Engineer, and further assisted
by three American consultants from the Approvecho Institute. This effort
yielded the Lorenas, fig. 2.6, “Ban Ak Sunf” (BAS), fig.2.7, a Wolof Word for
clayey sand, “Lauga”, “Coumba gueye” and “Kaya” evolved. Others were
Kenyan “JIKO” of various sizes, fig. 2.8, which were essentially portable metal
charcoal stoves produced by local artisans from recycled sheet steel. Countries
36
such as Ethiopia, Mali, Niger among other Sahelian countries have one form of
improved stove production and dissemination programme or the other
(SCNCER).
Fig. 2.6: Lorena stoves disseminated in Guatemala
(Source: ASEAN SUB COMMITTEE ON NON-CONVENTIONAL ENERGY RESEARCH, (SCNCER))
37
(i) (ii)
(iii) (iv)
Fig.2.7: Wood stoves developed in Senegal (Ban Ak suff)
(Source: ASEAN SUB COMMITTEE ON NON-CONVENTIONAL ENERGY RESEARCH, (SCNCER))
38
Fig. 2.8: Metal Jikos Stoves
(Source: ASEAN SUB COMMITTEE ON NON-CONVENTIONAL ENERGY RESEARCH, (SCNCER))
39
2.5 KEROSENE AND OTHER STOVES
These are stoves which use petroleum fuels as energy source. Kerosene
is the main source of power. A required amount of kerosene is poured into the
stove and the oil moves through the wick by capillary action. The stoves vary
depending on the size, height, position of kerosene tank, number of pots and the
material used in fabricating them. The general problems confronting wide
spread use of kerosene are scarcity of kerosene and adulteration of kerosene
(where they are available). Scarcity heightens the price beyond the reach of the
common man. Several lives have been lost and others deformed or defaced on
account of burns resulting from kerosene adulteration
Other stoves use saw dust as fuel. Saw dusts are obtained from saw mills
or carpentry shops. The saw dusts may be made into briquettes, or poured into
the stove and compacted very well, leaving a hole at the centre. The hole
enhances draft. Saw dust stoves produces a lot of soot and smoke which
blackens the cooking vessels, and cause discomfort to the stove user.
In order to enhance convective heat transfer in stoves, three generic forms
of stove have been developed over the years. They are multi-pot stoves, channel
stoves and nozzle stoves. The channel stove, used in this project, offer better
40
performance than multi-pot stoves and they, generally, are more developed and
tested than nozzle stoves.
41
CHAPTER THREE
3.0 DESIGN PARAMETERS AND ENERGY BALANCE
CALCULATIONS
Charcoal is used as fuel in this channel type of stove being studied. Fuel
is defined simply, as a combustible material that may come as solid, liquid or
gas. The burning of charcoal, a solid fuel, liberates energy which could be used
for cooking or processing of food.
3.1.0 THEORETICAL ANALYSIS OF CHARCOAL COMBUSTION
CHARACTERISTICS
According to Baldwin (1987), charcoal has the following composition by mass:
TABLE 3.1 Composition of Charcoal by mass
ELEMENT C H O N Ash S
% BY
MASS
82.0 3.1 11.3 0.2 3.4 0.0
42
3.1.1 DETERMINATION OF STOICHIOMETRIC AIR-FUEL RATIO
Stoichiometric (or chemically correct) mixture of air and fuel is one that
contains the quantity of oxygen required for complete combustion of one unit of
the fuel. In this work a mass balance of the reactants is shown below, using the
values in table 3.1, in order to obtain the stoichiometric air-fuel ratio.
1282 C +
11.3 H +
163.11 O +
142.0 N + 3.4 Ashes + a (0.21O2 + 0.79N2)
→ bCO2 + dH2O + (28
2.0 + 0.79a) N2 + 3.4 Ash………………….(3.1)
Carbon balance:
1282 = b, hence b = 6.83.
Hydrogen balance:
11.3 = 2d, hence d = 1.55
Oxygen balance:
163.11 + 0.42a = 2b + d = 2 x 6.83 + 1.55
163.11 + 0.42a = 15.22,
43
From which a = 34.55.
(i) Carbon
C + O2 CO2 …………………………………..……… 3.2
12 kg of Carbon + 32 kg of oxygen 44 Kg of CO2
1 kg of carbon + 32/12 kg of oxygen 44/12 kg of CO2
0.82 of carbon + 32/12 x 0.82kg of oxygen 44/12 x 0.82 kg of CO2
Oxygen required = 2.19kg 02/kg charcoal
CO2 produced = 44 0.82( )
12 = 3.01 kg of CO2/Kg charcoal.
HYDROGEN
H2 + ½O2 H2 ………………….………… 3.3
2 Kg of hydrogen + 16kg oxygen 18kg water vapour
1kg of H2 + 8kg O2 9kg water vapour
0.031kg H2 + 8 x 0.031kg O2 9 X 0.031kg water vapour
O2 required = 8 x 0.031kg O2 / kg charcoal
= 0.248kg 02/kg charcoal
44
H2O produced = 0.279kg H2O/ kg charcoal
These results are tabulated in the table given below; the oxygen in the fuel is
shown as a negative quantity in the column oxygen required.
Table 3.2: Analysis of the ultimate (gravimetric) composition of charcoal
Constituent Mass fraction oxygen required product mass (Kg/kg charcoal) (Kg/kg charcoal) CO2 H2O
C 0.82 2.19 3.01 - O 0.113 - 0.113 - - H 0.0031 0.248 0.279 N 0.002 - - - Ash 0.034 - - - S 0.00 - - - Total = 2.325 3.01 0.279
Since air contains 23.3% of O2 by mass,
Stoichiometric A/F ratio = x O2 required
= x 2.325 = 9.98:1
45
Nitrogen associated with this A/F ratio,
= 9.98 x 0.767
= 7.65.
Since air contains 76.7% nitrogen by mass.
Total nitrogen = 7.65 + 0.2 = 7.85 kg N2.
3.1.2 ANALYSIS OF THE PRODUCTS OF COMBUSTION The results of the analysis of the products of combustion by mass are as shown
in the table below:
Table 3.3 : Analysis of products of combustion PRODUCT MASS
Kg % dry % wt
CO2 3.01 27.72 27.02 H20 0.279 - 2.50 N2 7.85 72.28 70.48 Total dry = 10.86 Total wet = 11.14
46
Table 3.4: VOLUMETRIC ANALYSIS OF THE PRODUCTS(1) Product Mass, kg M n = moles % dry
volume % wet volume
CO2 3.01 44 0.0684 19.61 18.78 H20 0.279 18 0.0155 - 4.25 N2 7.85 28 0.2804 80.39 76.97 Total dry = 0.3488 Total wet = 0.3643
For 20% excess air supply, with stoichiometric A/F ratio = 9.98:1, the
actual A/F ratio is obtained from the relation,
Percentage excess air
= actual A/F ratio – stoichiometric A/F ratio Stoichiometric A/F ratio
Or actual A/F ratio = 0.2 x 9.98 + 9.98
= 11.98:1
N2 associated with this actual A/F ratio = 11.98 x 0.767 = 9.19 Total nitrogen = 9.19 + 0.2 – 9.39 kg
47
Oxygen associated with this A/F ratio = 11.98 x 0.233
= 2.79 kg
Excess Oxygen = 2.79 – 2.33 = 0.46 kg.
Mixture strength is obtained from the relation,
Mixture strength = stoichiometric A/F ratio
Actual A/F ratio
= = 0.83
Table 3.5: VOLUMETRIC ANALYSIS OF THE PRODUCTS(2) Product Mass, kg M V = Dry % vol. Wet % vol. CO2 3.01 44 0.0684 16.36 15.77 H20 0.279 18 0.0155 - 3.57 O2 0.46 32 0.0144 3.44 3.32 N2 9.39 28 0.3354 80.20 77.34 Total dry = 0.4182 Total wet = 0.4337
48
3.2.0 MAXIMUM THEORETICAL TEMPERATURE OR ADIABATIC
FLAME TEMPERATURE
It is an experimental fact that the energy released on the complete
combustion of unit mass of a fuel depends on the temperature at which the
process is carried out. The following steps would be used to determine the
attainable maximum theoretical temperature.
3.2.1 DETERMINATION OF ADIABATIC FLAME TEMPERATURE
ASSUMPTIONS:
(1) A system with an 20% excess air is assumed due to the fact that most
solids do not burn completely on account of sufficient air molecules
required not getting to the combustion chamber, resulting in some un-
burnt carbon, and carbon monoxide in the combustion product.
Inadequate combustion, as well, lowers fuel efficiency and produces
soot (TSI Incorporated). Charcoal fuel has an inherent disadvantage of
releasing so much carbon monoxide.
49
(2) Though at temperatures in excess of 1300K, carbon dioxide dissociates
into carbon monoxide and oxygen, an endothermic reaction which lowers the
adiabatic flame temperature, it is theoretically assumed that no dissociation of
the product ensues.
(3) An initial air fuel temperature of 320C, corresponding to the ambient
temperature, is assumed.
(4) Air and the combustion products are assumed to be perfect gases with
specific heats which vary only linearly with temperature.
The combustion process is defined as taking place from reactants at a
state identified by the reference temperature To and another property, either
pressure or volume, to products at the same state. If the process is carried out at
constant volume, the non-flow energy equation
Q + W = ∆U, or Q + W = (U2 – U1) ……………. (3.5)
can be applied to give,
Q = UP2 - UR1 …………………………………… (3.6a)
= (UP2 – UPO) + (UPO – URO) + (URO – UR1)… (3.6b)
50
= (UP2 – UPO) + ∆UO + (URO – UR1)…………. (3.6c)
Or -Q = UR1 – UP2 …………………………………… (3.7)
Where W =0 for constant volume combustion, U1 = UR1, the internal energy of
the reactants which is a mixture of fuel and air at T1 and U2 = UP2, the internal
energy of the products of combustion at T2.
The change in internal energy does not depend on the path between the two
states but on the initial and final values and is given by the quantity, -Q, the heat
transferred to the surroundings during the process (Eastop T.D., McConkey A.)
The heat supplied Q, is called internal energy of reaction at T0 and is
denoted by ∆UO. That is, Q = ∆UO = UPO - URO. Now, a similar analysis for a
steady flow or constant pressure combustion process between states 1 and 2, (H2
– H1), can be written more explicitly as (HP2 – HR1), and this can be further
expanded for analytical purposes.
Q = (H2 – H1) = HP2 – HR1
= (HP2 – HPO) + (HPO – HRO) + (HRO – HR1)
= (HP2 – HPO) +∆HO + (HRO – HR1) ……………………………… (3.8)
51
According to Rogers and Mayhew, the first and last terms on the right-hand side
of equation 3.8 can be obtained from,
(HP2 – HPO) = pip
icm (T2 – T0) …………………… (3.9)
(HRO – HR1) = piR
icm (T2 – T1
Where cp is the mean specific heat at constant pressure of the constituent i. The
term ∆HO is called the enthalpy of combustion at T0, or the constant pressure
heat of combustion at T0.
For an adiabatic process ∆Q =0, so the steady flow energy equation reduces to
HP1 – HR1 = 0. ……………………………………………. (3.10)
Here, (HPt – H32) = 0, and the subscript ‘pt’ refers to the products temperature.
Expanding this equation yields,
(HP1 – HR32) + ∆H25 + (HR25 + HR32) = 0
The evaluation of this equation involves a method of successive
approximation because the appropriate mean specific heat data for the
52
first term (and subsequent terms) depends upon the unknown temperature. In
the course of the experiment, the recorded average ambient temperature was
320C so; the first mean temperature is,
2))27332()27325(( =
2603 = 301.5 ≈ 302 K.
Since the values of parameters at 302 K were not directly reflected in the
table, interpolation between 300 K and 325 K would be carried out. The heat
capacity of the air at 302 K is determined by interpolating between 300 K and
350 K from the table of properties of gases at atmospheric temperature.
From literature charcoal has a specific heat of 1 KJ/Kg K
Interpolating for Hydrogen yields,
302325300302
=
232 =
XX
38.14
31.14
23X – 329.13 = 28.76 – 2X
25X = 357.89
X =14.32KJ/Kg K
53
For Oxygen, interpolation gives,
232 =
XX
923.0918.0
23X – 21.114 = 1.864 – 2X
25X = 22.96
X = 0.9184KJ/Kg K
Interpolation for Nitrogen yields,
232 =
XX
040.1040.1
23X – 23.93 = 2.080 – 2X
From which, 25X = 26.01
Or X = 1.0404KJ/Kg K
For Carbon dioxide, this gives
232 =
XX
871.0846.0
23X -19.458 = 1.742 – 2X
54
From which, 25X = 21.20
X = 0.848KJ/Kg K
For water vapour, interpolation yields,
232 =
XX
871.1864.1
23X – 42.872 = 3.742 – 2X
From which, 25X = 46.614
X = 1.865 KJ/Kg K
Still using the above specific heat as first iteration, and using the values in
tables 3.4 and 3.5 respectively by applying the relation,
(Hp25 – HR32) = 3225 piR
icm
= -7[(0.82 x 1) + (0.031 x 14.32) +
(2.8989872 x 0.9184) + (9.1725412 x 1.0404)]
= -94.26 KJ/Kg.
55
From literature, ∆H25 = -29, 288 KJ/Kg.
(Hpt – Hp25) = p
micpi(t – 25)
= t - 25[(3.006652 x 0.848) + (0.279 x 1.865) +
(0.4643312 x 0.9184) + (9.1725412. x 1.0404)]
= 13.04(t – 25)
From, (Hpt. – HR25) + ∆H25 + (HR25 – HR32) = 0
Or, p
micpi(t – 25) + ∆H25 + 3225 piR
icm = 0
Which yields,
13.04(t1-25) – 29,288 – 94.2 = 0
Or t1 = 2278 0C
The second iteration is between TO = 250C and 2278 0C. The specific heats will
be determined at the mean temperature of 2
))2732278()27325(( = 2
2849 =
1425 K.
For hydrogen, the interpolation yields,
1425150014001425
=
7525 =
xx
02.16
77.15
56
From which x = 15.83 KJ/Kg K
Interpolating for oxygen yields,
7525 =
xx
143.1
134.1 .
From which, x =1.136 KJ/Kg K
For Nitrogen, interpolation gives,
7525 =
xx
244.1
232.1 .
From which, x = 1.235 KJ/Kg K
Interpolating for carbon dioxide yields,
7525 =
xx
326.1
313.1 .
From which x = 1.316 KJ/Kg K.
For water vapour, interpolation yields,
7525 =
xx
609.2
.552.2 .
57
From which x = 2.566 KJ/Kg K.
Now,
HR25 – HR32) =
-7((0.82X1)+(0.031X15.38)+(2.8989872X1.136)+(9.1725412X1.235))
= -111.5 KJ/Kg K.
So also,
p
micpi(t – 25) =
((3.006652*1.316)+(0.279*2.566)+(0.4643312*1.136)+(9.1725412*1.235)) = 16.53(t2-25) Now, 16.53*(t_2 - 25) - 29288 - 111.5 = 0 Or t_2 = 18040C The third iteration is between 250C and 18040C.
The specific heats are obtained at mean temperature of
2
2375 = 1187.5 ≈ 1188 K
58
For hydrogen, interpolation yields,
11881200
115001188 =
1238 =
XX
34.15
25.15 →X = 15.32 KJ/Kg K
Interpolation for oxygen yields,
1238 =
XX
115.1.109.1 →X = 1.114 KJ/Kg K
For Nitrogen, interpolation gives,
1238 =
XX
204.1.196.1 →X = 1.202 KJ/Kg K
Interpolation for carbon dioxide, yields,
1238 =
XX
280.1.270.1 →X = 1.278 KJ/Kg K
For water vapour, interpolation gives,
1238 =
XX
425.2
.392.2 →X = 2.417 KJ/Kg K
59
Inserting these new values in equation.3.9 yields,
HR25 – HR32) = -7*((0.82*1) + (0.031*15.32) + (2.8989872*1.114) + (9.1725412*1.202)) = -108.8
So also,
p
micpi(t – 25) =
((3.006652*1.278) +(0.279*2.417)+(0.4643312*1.114)+(9.1725412*1.202))(t3 – 25) = 16.06(t -3 – 25) Hence, 16.06*(t_3 - 25) - 29288 - 108.8 = 0
Or t -3 = 18550C
The fourth iteration is between 250C and 18550C. The mean temperature is
22426 = 1213 K
For hydrogen, interpolation yields,
1213125012001213
=
3713 =
XX
44.15
34.15 →X = 15.37 KJ/Kg K
Interpolation for oxygen gives,
3713 =
XX
120.1115.1 →X = 1.116 KJ/Kg K
60
For Nitrogen, interpolation yields,
3713 =
XX
212.1.204.1 →X = 1.206 KJ/Kg K
Interpolating for carbon dioxide gives,
3713 =
XX
290.1.280.1 →X = 1.283 KJ/Kg K
For water vapour, interpolation yields,
3713 =
XX
458.2
.425.2 →X = 2.434 KJ/Kg K
Inserting these new values in equation 3.9 yields,
HR25 – HR32) = -7*((0.82*1)+(0.031*15.37)+(2.8989872*1.116)+(9.1725412*1.206)) = -109.2 So also,
p
micpi(t – 25) =
((3.006652*1.283) +(0.279*2.434)+(0.4643312*1.116)+(9.1725412*1.206)) (t -4 – 25) = 16.12(t -4 – 25).
61
Hence,
16.12*(t -4 - 25) - 29288 - 109.2 = 0 Or t -4 = 18490C The fifth iteration is between 250C and 18490C. The mean temperature is
22420 = 1210 K.
Interpolation for hydrogen gives,
1210125012001210
=
4010 =
XX
44.15
34.15 →X = 15.36 KJ/Kg K
For oxygen interpolation yields,
4010 =
XX
120.1115.1 →X = 1.116 KJ/Kg K
Interpolation for Nitrogen gives,
4010 =
XX
212.1.204.1 →X = 1.206 KJ/Kg K
Interpolating for carbon dioxide yields,
4010 =
XX
290.1.280.1 →X = 1.282 KJ/Kg K
62
For water vapour, interpolation gives,
4010 =
XX
458.2
.425.2 →X = 2.432 KJ/Kg K
Inserting these new values in equation 3.9 yields,
HR25 – HR32) =
-7*((0.82*1) + (0.031*15.36) + (2.8989872*1.116) + (9.1725412*1.206)) = -109.2
So also,
p
micpi( t -5 - 25) =
((3.006652*1.282) + (0.279*2.432) + (0.4643312*1.116) + (9.1725412*1.206)) (t -5 - 25) =16.11( t -5 - 25) Hence, 16.11*( t -5 - 25) - 29288 - 109.2 = 0 Or t -5 = 18500C. The sixth iteration is between 250C and 18500C. The mean temperature is
22421 = 1210.5 ≈ 1211 K.
For hydrogen,
1211125012001211
=
3911 =
XX
44.15
34.15 →X = 15.36 KJ/Kg K
63
For oxygen,
3911 =
XX
120.1115.1 →X = 1.116 KJ/Kg K
For Nitrogen interpolation yields,
3911 =
XX
212.1.204.1 →X = 1.206 KJ/Kg K
Interpolating for carbon dioxide gives ,
3911 =
XX
290.1.280.1 →X = 1.282 KJ/Kg K
For water vapour, interpolation yields,
3911 =
XX
458.2
.425.2 →X = 2.432 KJ/Kg K
Inserting these new values in equation 3.9 yields,
HR25 – HR32) = -7*((0.82*1)+(0.031*15.36)+(2.8989872*1.116)+(9.1725412*1.206)) = -109.2.
p
micpi(t – 25) =
((3.006652*1.282)+(0.279*2.432)+(0.4643312*1.116)+(9.1725412*1.206)) ( t -
6 - 25) =16.11( t -6 - 25). Hence, 16.11*(t_6 - 25) - 29288 - 109.2 = 0 Or t -6 = 18500C
64
Since the results of the 5th and 6th iterations did not differ significantly, the
resulting temperature, 18500C (or 2123 K) is taken as the theoretical maximum
temperature.
3.3 CONDUCTIVE HEAT TRANSFER
Two principal areas through which conductive heat transfers should be expected
in the stove are:
i) Heat conduction through the pan to the product to be fried, baked
or boiled
ii) Heat conduction through the stove wall
Fourier’s relation, Q
KA T TX
1 2 ………………………… (3.11)
gives the thermal conductivity, k, of an object, where
From the above equation,
Given Ax
65
For A > > X, Q will be large
For A << X, Q will be small.
The heat transfer area varies with thermal conductivity and temperature
difference.
From the work of Baldwin (1987), it was noted that the use of this
equation for the examination of heat transfer across a stove wall generates
values that are many times too large. This is because the heat transferred into
and out of an object depend not only on the conductivities, to and from the
surface, but also on the conductivity within the object itself, dirt or oxide layers
and air at the surface of the material itself. With respect to this, equation (3.11)
can be rearranged using thermal resistance concept as,
Q =
21
21
11)(
hkx
h
TTA
……………… (3.12)
It would be observed that the thermal resistance of a medium depends on the
geometry and the thermal properties of the medium.
QT T
R
1 2 .......................................... (3.13)
66
Sample or design calculations will here be made using the equation
(3.13) above
Here Q =2.1.
21
CONVSteelCONV RRRTT
RCONV = 1/hA
RSteel = l/kA
T2
T2
T1 T1
T2 T1
Fig. 3.1 Thermal resistance network
T1 T2
Q Rconv.1 Rconv.2 Rwall
T0
67
So, Q = h1A (T∞1 – T1) = KAL
TT 21 = h2A (T2 - T∞2) ……………… (3.14)
Equation 3.14 can be re-arranged, on the basis of fig. 3.1, as
Q
T T
h A
T TL
KA
T T
h AT TR
T TR
T TRconv steel conv
1 1
1
1 2 2 2
2
1 1
1
1 2 2 2
2
1 1` ` `
. .
Adding the numerators and denominators yields
QT T
Rtotal
1 2 W,
Where, Rtotal = Rconv .1 + Rsteel + Rconv.2
=1/h1A + L/KA + 1/h2A
Data;
Height of stove = 460 m
Diameter of stove = 570 mm
Distance between fuel bed and pan = 230 mm
Hence, surface area of stove, A = 2rh + r2 because it has base but no top in
which, A = 2rh + r2
68
= r (2h + r)
= 3.14 x 285 (2 x 230 + 285)
= 666,700.5 mm2
= 0.67 m2
Mild steel is the material for the stove body. Thermal conductivity of mild steel,
= 42.9 (W/m K).
For the air
K = 38.0 (W/m K)
Here, h = 14.51 w/m2k as determined from the section on determination of
convective heat transfer co-efficient.
Rh A
LKA h ATotal
1 1
1 2……………………………………………. (3.15)
RTotal = + +
= 0.102862668 + 1.178318932 x 10-4 + 0.102862668
≈ 0.206
From the relation given below, the heat transferred through the stove wall was
determined.
69
Q = =
= 1818 0.206
8.825 k W
Also from,
Q =
T1 = T -
= 1818 – 187
= 1631 K or 1444 0C
Similarly from
T2 = + T
= + 305
= 187 + 305 = 492 K or 219 0C
70
3.4 REDUCING WALL LOSSES
The large heat loss by light weight single wall (metal) charcoal stove can be
greatly reduced by chemically or mechanically polishing or coating the exterior
surface to provide a bright metallic finish. In order to sustain the effectiveness
of such a finish, the surface be kept clean and free of soot and rust. Paints
should not be used as they have a tendency to increase radiant heat loss. The
outside wall of this charcoal stove, which can be quite hot during can be made
of double-wall. To reduce stove wall heat losses, use can be made of light
weight insulates such as fiberglass, glass wool or vermiculite.
3.5 CONVECTIVE HEAT TRANSFER.
It is by convective heat transfer that the hot gases from the fire heat the frying
pan, or that wind cools a hot stove. Convective heat transfer in charcoal stove is
by natural convection process. Fluid velocities associated with natural
convection are low, usually under 1m/s (Baldwin, 1987)
In natural convection, the case of interest for charcoal stoves, the driving
force of the hot gas is its higher temperature and resulting lower density
71
compared to its surrounding. As the hot air rises, it gives up some of its energy
to its surroundings such as the frying pan or stove wall. As its temperature thus
decreases, it loses the force propelling it upward. As its velocity thus decreases,
so does the rate at which it gives up heat to its surroundings and so on.
The convective heat transfer rate is given by
Q hA T T 1 2 …………………………………….. (3.16a)
3.6 DETERMINATION OF CONVECTIVE HEAT TRANSFER
COEFFICIENT.
The parameter h is determined in two ways: either experimentally or
theoretically. The relation to be used here is
NU = hg/K ……………………………………………………. (3.16b
According to Welty (1978), the above relation and others relating to convective
heat transfer have been modified to apply specifically to air and a simplified
expression, for the heat transfer co-efficient written in the form
h ADTL
b
………………………………………………. (3.16c)
Where, A and b are constants, depending on the geometry and flow conditions,
and L is the significant length, also a function of geometry and flow.
72
For vertical cylinders
hh W m k
131135814 51
13
2
..
for DT = 1358K
L = 1
Lagging the stove assists in minimizing heat transfer from the combustion
chamber through the stove walls, thereby increasing heat transfer efficiency and
lowering the convective transfer coefficient, h.
3.7 RADIATIVE HEAT TRANSFER
In charcoal stoves, radiative heat transfer play key role in heat transfer:
-From the fire bed and flames to the frying pan;
- From the hot gases to the charcoal to sustain combustion;
- From the flames and fire bed to the stove wall;
- From the stove body to the pot;
- From the stove body to the surrounding
The fire bed temperature and the view factor are the two factors required
in order to calculate the radiative energy transfer from the charcoal bed to pan.
73
In order to do this calculation, it is assumed that the gases and flames between
the charcoal bed and the pan do not absorb or emit any radiation. The view
factor is the fraction of the energy emitted by one surface that is intercepted by
a second and is dependent on the relative geometry of the two surfaces. In this
study the view factor between fire/bed and pan is equal to the view factor of two
concentric parallel discs.
To check the expected temperatures of the fuel bed and thus the radiative
heat transfer to the pan, a thermocouple was placed above the charcoal fire.
Details are presented in chapter four.
Radiative heat transfer to the pan can be increased by moving the pan
closer to the charcoal bed. So, also, closing the firebox and regulating the
supply of air (lean mixture) enhances the average fire bed temperature.
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
amount of heat lost, etc. These parameters are of importance when
considering further improvement on the stove’s performance. They also
form the bulk of criteria used by consumers to decide on their choice of
stove design.
3.12 STOVE TEMPLATE DESIGN
The width of the cylindrical stove template (fig. 3.5a & 3.5b) as
given by Baldwin (1987) for stoves welded together, end to end is,
W C G s 2 …………………………………………… (3.95)
In this instance
W x x x
m
056 2 0 008 0 014
186. . .
.
The stove template height, H, is given as
H = A + P + L …………………………………………….. (3.96)
P is given as,
P = 0.4D
103
= 0.4 x 0.56
= 0.224m
L already has been determined as 0.26m and 4 = 0.1m
Hence, H = 0.1 + 0.22 + 0.26 = 0.58m
3.13 THE GRATE AND AIR HOLES
The grate is circular in shape and made from sheet metal. It is welded to
the finished cylinder. The functions of the air holes punched in the grate
are:
(i)The presence of holes facilitate primary air supply
ii) They provide means of passages of ash to ash collecting tray,
after combustion.
iii) They accommodate burning charcoal.
In this stove a total of 44 holes were punched on the grate. The holes
are each 12mm diameter.
104
105
3.14 DOOR
The door, fig.3.6, was attached to the combustion chamber. The bottom
of the door was placed at the top of the air holes while the top is below
the bottom of the pot so that hot gases do not exit through the door but
are directed up around the door. The door was used for feeding the
charcoal before frying operations and also employed in removing used
charcoal after frying. Locks were provided on the door to keep the
charcoal from discharging and to help regulate air flow rate.
3.15 ASH TRAY
The ash tray (fig.3.7) is circular in shape and was placed under the stove
for collecting and disposing of ash during and after frying. The ash tray
helps in keeping clean the environment where the stove is being used.
106
107
108
109
Fig. 3.10: Photograph of the constructed stove showing the grate, chimney, door
and the air holes.
110
Fig. 3.11 Stove photograph showing the door closed and air inlets open.
111
Fig. 3.12: Photograph of the constructed stove showing the door opened.
112
CHAPTER FOUR
4.0 STOVE TESTING AND DATA ANALYSIS
4.1 MATERIALS AND EQUIPMENT
The followings were the equipment used for carrying out all the
tests necessary in the stove under consideration.
1) Thermocouples and digital thermometers: they were used to
measure temperature of the combustion chamber (hot gas). They
were five in number.
2) Weighing balance: used to measure all the weights required.
3) Thermometers: used to measure the temperatures of water. A dry
bulb thermometer was used.
4) Flexible metal tape. This was used to measure template, stove,
grate, door, ash tray and pot dimensions.
5) Stop watch: used to measure time – required for boiling of water
and combustion of charcoal
6) 6- channel data switch, fabricated in UNN Mechanical Engineering
laboratory.
113
4.2 METHODOLOGY
A charcoal burning stove was designed and constructed as
shown in chapter three. Water boiling test (WBT) was carried
out in order to generate the data required for assessing the
stove’s performance.
4.3 EXPERIMENTAL DESIGN
In order to carry out the water boiling tests, the following steps
were taken:
1) 1.30 Kg – 1.45 Kg of charcoal was weighed separately and the
moisture content determined.
2) The pot was cleaned and dried. The pot was filled with water to 2/3
(two-third) of its capacity. The pot with water was then weighed
and the weight was recorded.
3) The ash tray, pot support and charcoal grate were positioned so
that the required quantity of charcoal is loaded into the stove.
4) The charcoal was sprinkled with some quantity of kerosene and lit.
114
5) The pot was then put on the stove after the kerosene was seen to
have burnt out and temperatures at key locations in the water,
combustion chamber wall, grate and chimney were recorded with
the aid of dry bulb thermometer every five minutes interval of time
till the desired cooking or boiling time was reached. This time was
measured using a stop watch. The temperatures below the grate,
combustion chamber, pot, stove’s outer surface and exhaust gas
were also recorded every five minutes using a six - channel data
switch with the aid of thermocouples connected to the stove as
shown in fig. 4.1. The test data obtained are shown in table 4.2
6) At the end of the boiling tests, the charcoal and pot with water
were once again weighed.
7) The stove and pan were then allowed to cool before being
removed.
115
4.4 METHOD OF DATA ANALYSIS
The results recorded were used to compute the following universally
accepted indices of stove performance:
Fire power, P = IQQ FI
60_ CC, (Kilowatts)………………….. (4.1a)
The relation can be expressed as
PQ Q
ti F CC, ………………… (4.1b)
The specific fuel consumption, SC, for a stove given by Kris-Spit is the
ratio of total quantity of charcoal used in the cooking process to the amount of
water used in cooking. According to Baldwin, S.F., “for convenience, the
specific fuel consumption defined here can be expressed in terms of grams of
charcoal consumed per kilogram of water ‘cooked’”. This computation provides
a fuel-consumption figure which invariably has positive influence on the
decision of intended users of the stove.
For a stove, the percent heat utilized may be defined as the percentage of heat
released by the fire that is absorbed by the water in the pot.
PHUX Mw T T X Ww Ww
M Cf i l
c c
4186 10 2260 1031
32.
… (4.2)
4.186 KJ/kg K = specific heat of water
2260KJ/kg = latent heat of vaporization of water at atmospheric
pressure and 100OC
116
4.5 MOISTURE CONTENT DETERMINATION
Four samples of charcoal each weighing 1.5kg were obtained and taken to
the Soil Science Laboratory, University of Nigeria, Nsukka on 28th, November,
2006. They were each kept in an oven spread on white cardboard papers to keep
the charcoal particles from defacing the oven. The oven’s temperature was set at
105 0C and the samples were kept there between 11.15am and 3.15pm. The
charcoals, after they were retrieved from the oven, were weighed even while
they were warm to be sure no moisture was re-absorbed.
The weights of the various charcoals after they were oven dried are
shown below in table 4.1.
Table 4.1 Charcoal moisture content
SAMPLE INITIAL WEIGHT, Kg FINAL WEIGHT, Kg TEST NO.
A 1.5 1.30 3
B 1.5 1.35 4
C 1.5 1.45 5
D 1.5 1.35 6
117
The oven used was marked, oven BS, size three, model OV-168 and
was manufactured by Gallenhamp.
The charcoals were picked from the open field and so could contain
moisture. It was expedient to remove the moisture in the charcoal before
being loaded into the stove because the presence of moisture results in
higher thermal inertia value with the attendant effect of lowering the
thermal efficiency of the system. It does occur that at the onset of
combustion, carbon monoxide reacts with the moisture to form carbon
dioxide thus requiring large energy to warm the stove and bring the
stove to burning.
118
4.6 LOCATIONS OF THERMOCOUPLES ON THE STOVE
DURING THE TESTS
Fig: 4.1 Location of thermocouples on Charcoal Stove during the tests.
Below a charcoal grate T1
Combustion chamber, T2
Stove’s outer surface, T4
Channel gap, T3
Chimney, T5
119
4.7 DATA ANALYSIS
A total of six tests were carried out on the constructed stove in the Department of
Mechanical Engineering, University of Nigeria, Nsukka, Nigeria between 27th and 29th
November, 2006. The laboratory test data sheet reflecting the general requirement for
each test is shown in table 4.2. Tables 4.3 to 4.8 shows the data generated for each test
while table 4.9 is a representation of the results of the analysis of tests 3 to 4.
TABLE 4.2 LABORATORY TEST DATA SHEET FOR CHARCOAL
STOVES
Parameter Test 1 Test 2 Test 3 Test 4 Test 5 Testt 6
Date 27/11/2006 27/11/2006 28/11/2006 28/11/2006 29/11/2006 29/11/2006
Tester Ojonimi Y.
Usman
Ojonimi Y.
Usman
Ojonimi Y.
Usman
Ojonimi Y.
Usman
Ojonimi Y.
Usman
Ojonimi Y. Usman
Weather
Type of pot Aluminium Aluminium Aluminium Aluminium Aluminium Aluminium
Time
duration
2.52pm –
3.57pm
5.33pm –
5.54pm
4.37pm –
5.01pm
5.34pm –
5.57pm
7.34pm – 8.0am 9.11am – 9.44am
Fuel Charcoal Charcoal Charcoal Charcoal Charcoal Charcoal
Moisture
content
Not
measured
Not
measured
0.20Kg 0.25Kg 0.05Kg 0.15Kg
Calorific
value
31MJ/Kg 31MJ/Kg 31MJ/Kg 31MJ/Kg 31MJ/Kg 31MJ/Kg
120
Type of
stove
Metal Metal Metal Metal Metal Metal
Pot to wall
dim
5mm 5mm 5mm 5mm 5mm 5mm
Channel
height
120mm 120mm 120mm 120mm 120mm
Insulation
and location
Glass
wool/combus
tion chamber
Glass
wool/combus
tion chamber
Glass
wool/combus
tion chamber
Glass
wool/combus
tion chamber
Glass
wool/combustion
chamber
Glass wool/combustion
chamber
Grate type Metal Metal Metal Metal Metal
Number of
holes
44 44 44 44 44 44
Combustion
chamber
type
Lagged
metal type
Lagged
metal type
Lagged
metal type
Lagged
metal type
Lagged metal
type
Lagged metal type
Weight of
empty pan
0.70Kg 0.70Kg 0.70Kg 0.70Kg 0.70Kg 0.70Kg
Weight of
stove and
pan
18Kg 18Kg 18Kg 18Kg 18Kg 18Kg
121
Table 4.3: Data obtained for stove test 1.
Time T1OC T2
OC T3OC T4
OC T5OC T6
OC
2.52 33 33 32 33 33 29
2.57 157 143 108 36 44 36
3.02 141 177 148 55 89 37
3.07 168 302 210 67 92 38
3.12 199 383 217 70 100 55
3.17 202 437 231 75 115 66
3.22 210 462 253 76 116 79
3.27 220 482 278 84 119 86
3.36 213 474 301 105 79 92
3.37 195 463 310 104 121 95
3.42 191 435 304 107 137 95
3.47 179 402 287 100 131 94
3.52 152 360 262 98 109 91
3.57 139 313 236 84 106 90
The moment the water in the pot begins to boil vigorously, the time is recorded.
The above data was not used to evaluate the indices of stove performance since water was
not boiled.
122
TABLE 4.4: DATA OBTAINED FOR STOVE TEST 2
Time T1OC T2
OC T3OC T4
OC T5OC T6
OC
05.33 32 32 33 32 32 29
05.38 317 420 158 51 148 35
05.43 411 716 255 80 193 50
05.48 441 795 341 99 222 69
05.53 454 861 393 117 256 90
05.54 455 879 409 122 263 98
The moment the water in the pot begins to boil vigorously, the time is
recorded in addition to other readings already taken.
DATA ANALYSIS
The data shown in table 4.4 was used in the following analysis
WATER
Mass of pot =0.70kg
Initial mass of pot + water = 4.75kg
Final mass of pot + water = 4.45kg
123
Initial mass of water, mi = (4.75 – 0.70) kg
= 4.05kg
Final mass of water, mf = (4.45 – 0.70)kg
= 3.75kg
Mass of water evaporated = (4.05 – 3.75)kg
= 0.30kg.
CHARCOAL
Initial mass of charcoal = 2.0kg
Final mass of charcoal = 1.35kg
Mass of charcoal burnt = (2.0 – 1.35)
= 0.65kg
TIME
Time taken to bring to boil = 16 minutes
(1) Fire power, P m cI
KWc c
60
0 65 31 1060 16
20 989 5820 99
6.
, ..
x xx
KW
MW
124
I = The time elapsed in minutes.
(2) The percent heat utilized, PHU, is given as
PHUx Mw T T X Ww Ww
M Cx
f i l
c c
4186 10 2260 10100%
31
32.
Substituting values,
PHU
x x x X xx x
x 4186 10 4 05 98 29 2260 10 0 30
0 65 31 10100%
3 3
6
. . ..
1169 777 70 678 00020 150 000 00
100%, , . ,
, , .
x
1847 777 7020 150 000 00
100%, , ., , .
x
0 09170 100%917%
..
x
(3) The specific fuel consumption, sc, as given by Krist-Spit, is.
scmw
c
i
125
Inserting values in the above equation yields,
sc
0 654 05
01605
.
..
TABLE 4.5: DATA OBTAINED FOR STOVE TEST 3
Time T1OC T2
OC T3OC T4
OC T5OC T6
OC
04.37 31 33 32 30 31 31
04.42 55 135 166 37 81 38
04.47 73 232 234 43 125 50
04.52 187 377 286 50 191 68
04.57 292 564 375 69 235 85
05.01 341 666 445 91 247 98
DATA ANALYSIS
TIME
Total time taken to boil = 29 minutes
(1) Fire power, scm c
Ic c
60
126
0 30 31 1060 29
534
6.
.
x xx
MW
The parameters are as defined above.
(2) The percent heat utilized, PHU, is
PHU
X w T T x w wM x C
xf i i f
c c
4186 10 2260 10100%
31
3.
4186 10 360 98 31 2260 10 0 30
0 30 31 10100%
3 3
6
. . ..
X x x x xx x
x
1 009 663 2 678 0009 300 000 00
01815 100%1815%
, , . ,, , .
..
x
Parameters are as defined earlier.
(3) Specific consumption,
sc 0 30360..
0 0833.
127
TABLE 4.6: DATA OBTAINED FOR STOVE TEST 4
Time T1OC T2
OC T3OC T4
OC T5OC T6
OC
5.34 31 33 32 30 31 31
5.39 39 137 168 39 142 40
5.44 103 212 188 43 176 53
5.49 276 388 243 53 222 70
5.54 404 582 341 79 257 90
5.57 431 664 381 97 280 98
The analysis of the data obtained in this test is, as well, shown in table
4.9 .
128
TABLE 4.7: DATA OBTAINED FOR STOVE TEST 5
Time T1OC T2
OC T3OC T4
OC T5OC T6
OC
7.34 25 25 25 25 25 26
7.39 42 54 92 28 66 28
7.44 64 65 123 30 98 35
7.49 131 165 172 39 125 50
7.54 219 311 263 54 160 71
7.59 297 579 356 82 204 96
8.00 291 627 378 83 178 96
The analysis of the data obtained in this test is, as well, shown in table
4.9 .
129
TABLE 4.8: DATA OBTAINED FOR STOVE TEST 6
Time T1OC T2
OC T3OC T4
OC T5OC T6
OC
9.11 29 30 29 29 29 25
9.16 37 103 111 36 63 30
9.21 47 93 119 40 66 34
9.26 85 138 138 40 93 38
9.31 151 313 196 42 159 50
9.36 230 494 273 62 215 71
9.41 289 586 348 79 193 88
9.44 318 633 379 82 190 98
The analysis of the data obtained in test 6 is recorded in table 4.9.
130
TABLE 4.9: SUMMARY OF COMPUTED RESULTS
TEST NO 3 4 5 6
Mass of pot, kg 0.70 0.70 0.70 0.70
Initial mass of water,
wi , kg
3.60 3.60 3.60 3.60
Initial mass of pot and
water, kg
4.30 4.30 4.30 4.30
Final mass of pot and
water, kg
3.95 4.00 4.20 4.10
Mass of water
evaporated, kg.
0.35 0.30 0.10 0.20
Time taken to boil,
minutes.
29 28 26 30
Mass of charcoal
burnt, kg.
0.30 0.35 0.36 0.50
Fire power, (MW) 5.34 6.46 9.94 8.61
Percent heat utilized,
PHU, %
18.15 15.55 15.80 9.04
Specific consumption,
%
0.08 0.08 0.14 0.14
131
4.8 DISCUSSION OF RESULTS
Six tests were conducted on the constructed stove principally to
assess the thermal efficiency. The tests took place in an uncompleted
building beside Civil Engineering Department’s workshop, University of
Nigeria, Nsukka. The tests were carried out in a building in order to ward-
off the effects of wind. One of the tests was not reported on because it
failed to cause the water to boil, resulting from the quantity of fuel that was
used. However, it served as ‘guide post’ in determining the quantity of fuel
needed in subsequent tests.
The five recorded tests were conducted at different times of the
day -morning and evening. The two that were conducted in the morning
generally took longer times before water started boiling, that is twenty-six
and thirty-three minutes respectively (see experimental test results 5 and
6). The duration resulted from the fact that air was calm mostly in the
morning and the draft was by natural convection.
The three tests conducted in the evening when the wind was
blowing strongly took twenty-one (21) minutes (see experimental test
result 2); twenty-four minutes (see experimental test result 3); and twenty-
three (23) (see experimental test result 4), respectively to bring the water
132
to boil. That shows that the tests conducted in the evenings witnessed
higher temperatures than the ones conducted in the mornings. It also
proves the fact that with this stove it is much easier to attain the high
power phase in the afternoon than in the morning.
From the test results, water began to boil vigorously at an average
temperature of 98 0C whether in the morning or evening. So also, in each
test result, it would be seen that the maximum temperature on the outer-
surface of the stove was about 1000C (on the average) even when the
temperature in the combustion chamber (T2) in most cases read above
6000C. That shows that the insulation actually prevented heat
transmission from the inner surface of the combustion chamber wall to the
outer surface. This makes the stove user-friendly.
The channel-type of metallic stove was chosen as stated in the
literature review because it has been reported to offer better performance
than multiport stoves and the nozzle stoves. In this stove under
evaluation, the temperature of the channel gap (T3) gives an idea of the
temperature of the flue gas in contact with the pot. And when it is again
compared with the chimney exit temperature, an understanding of the
heat lost to the pot wall in the process is obtained. From the test results,
the temperature of the flue gas was always about 4000C which was about
133
of combustion chamber temperature in each case. This record shows
impressive heat transfer efficiency, partly due to the small size of the
channel gap and adequate pot-to-grate height.
4.9 CONCLUSION
Table 4.9 represents the result of the evaluation of the indices of
performance of the charcoal stove. From the result it was revealed that an
average amount of 0.43 kg of charcoal would be required to be burnt for
an average period of 29 minutes to bring 3.6 kg of water to boil.
The experiment yielded a thermal efficiency of 15%. Based on the
results of the study, it can be seen that the performance of the charcoal
stove was better than the traditional three-stone open fire reported to have
efficiency of about 10%.
4.10 RECOMMENDATIONS
It is a well known fact that there are some levels of imperfections
associated with everything made by man. So, there is always room for
improvement. With respect to this stove, such areas are:
i) The quality and thickness of the insulating material need a review
with a view to using a cheaper and more efficient insulator.
134
ii) Better thermocouples such as copper constantan should be
employed for further tests, as that is the recommended thermocouple for
evaluating the performance of charcoal stoves. Such thermocouples are
more stable at temperature range of between 8000C and 12000C, as
stated in literature. It was not used in this work because of the difficulty
encountered in the efforts to lay hands on the material.
iii) Heat shields should be used below the charcoal grate so as to
increase the heat transfer efficiency, if the air preheating effect would not
be sacrificed.
iv) The distance between the charcoal bed and the bottom of the pot
should be reduced in such a way that the combustion efficiency and heat
transfer efficiency can be maximized
v) The channel gap can further be reduced to enhance more heat
transfer to the pot
The stove is recommended for small and medium scale agro-
based enterprises whose business entails cassava processing both for
local consumption and export, as well as other processing jobs and
cooking.
135
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