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International Journal of Emerging Technology and Advanced Engineering
Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013)
66
Performance Analysis of Single Slope Solar Still Dinesh Kumar
1, Patel Himanshu
2, Zameer Ahmad
3
M.Tech Student, Alternate Hydro Energy Centre, Indian Institute of Technology, Roorkee
Uttarakhand- 247667
Abstract-- This paper presents evaluation of performance of
solar water distillation using solar still. Solar distillation
represents a most attractive and simple technique among
other distillation processes, and it is especially suited to small-
scale units at locations where solar energy is considerable. in
this we have calculated internal heat transfer coefficient and
the mass output hourly basis. The effect of depth of water and
inclination of tilted glass on water output is also evaluated.
The performance analysis is carried out by developing Matlab
Simulink based model and result obtained is verified by
experimental setup.
Keywards-- Solar still, internal heat transfer coefficient,
Matlab/ Simulink, distillation, inclination of tilted glass
I. INTRODUCTION
The fresh water crisis is already evident in many parts of
India, varying in scale and intensity at different times of the
year. The fresh water crisis is not the result of natural
factors, but has been caused by human actions. India’s
rapidly rising population and changing lifestyles also
increases the need for fresh water. Widespread pollution of
surface and groundwater is reducing the quality of fresh
water resources. Most of the conventional Water
distillation processes are highly energy consuming and
require fossil fuels as well as electric power for their
operation. A solar still, however, employs a comparably
shallow water basin located inside a fully closed,
greenhouse like structure. Water vapour generated inside
the still condenses at the inner side of its transparent cover,
which is convectively cooled from the outside by natural
airflow. Dunkle [1] who derived a widely used as well as
analyzed, semi empirical relation for evaluating the internal
heat and mass transfer within solar distillation units. This
empirical relation is popularly known as Dunkle’s relation.
Malik et al. [2] then summarized a historical review on
solar distillation systems, Tiwari and Lawrence [3]
attempted to incorporate the effect of inclination of the
condensing surface using the same values of C and n as
proposed by Dunkle. Kumar and Tiwari [4] developed a
thermal correlation for outdoor conditions based on linear
regression analysis to determine convective mass transfer
for a varying range of Grashof numbers.
Tripathi and Tiwari [5] thereafter applied the correlation
of Kumar and Tiwari [4] to evaluate the internal heat and
mass transfer correlations for active solar distillation for a
very small inclination of condensing cover in winter
climatic conditions.[6] Anil Kr. Tiwari and G. N. Tiwari
evaluated Effect of Cover Inclination and Water Depth on
Performance of a Solar Still.
This paper comprises of six section. in section two we
discussed mathematical model and in section three Matlab
block diagram is discussed. Experimental setup is
discussed in section four. While simulation result,
experimental result, and conclusion are presented in section
five and six respectively.
II. MATHEMATICAL MODEL OF SOLAR STILL
These are the following equations which are presenting
the solar still system.
Temperature dependent physical properties of vapor
Cp =999.2+0.1434 x Tv + 1.101 x 10-4
x Tv2-6.7581x 10
-8x
Tv3 (1)
ρ =353.44/(Tv x 273.15) (2)
k=0.0244 x 0.7673 x 10-4
x Tv (3)
μ=10718 x 10-5
+ 4.620 x 10-8
xTv (4)
L=3.1615x106x[1-(7.616x10
-4xTv)]; (5)
Pci=exp[25.317 – 5144/(Tci + 273)] (6)
Pw =exp[25.317 – 5144/(Tw + 273)] (7)
β=1/(Tv + 273.15) (8)
Thus the heat transfer per unit area per unit time
evaporation from the water surface to glass cover
qew = hew (Tw-Tci) (9)
The relation between evaporative heat transfer
coefficient and convective heat transfer coefficient
hew = 0.016273*hcw*(Pw-Pci / Tw-Tci) (10)
hew = 0.016273*[(k/a)c(Gr.Pr)n*(Pw-Pci/ Tw-Tci)] (11)
qew= 0.016273*[(k/d)c(Gr.Pr)n*(Pw-Pci / Tw-
Tci)*(Tw-Tci)] (12)
International Journal of Emerging Technology and Advanced Engineering
Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013)
67
It can also be written as
qew = hew (Tw-Tci) (13)
The rate of mass transfer mew is given by
me = qew/L (14)
mw=.0163(Pw-Pci)(k/d)c(Gr.Pr)n*(3600/L)*Aw (15)
III. MATLAB SIMULINK MODEL
The above system equations (1)-(15) are implemented
in Matlab simulink bloc diagram shown in figure 1 and its
sub system block diagram are shown in figure 2.
Fig.1.bloc diagram of solar still
Fig.2. sub system solar still
IV. EXPERIMENTAL SETUP
The installed experimental setup is shown in Fig.3
Experiments are performed for both stills with different
depth of water to three consecutive days and the following
data are observed as temperatures at water surface, inner &
outer surface of glass and ambient condition, global and
diffuse radiation and yield are recorded hourly basis round
the clock.
Fig.3.Experimental setup of solar distillation with two different
inclination of glass cover
Fig.4.Instruments used
V. RESULT AND DISCUSSION
These figures 5 and 6 indicate that the internal heat
transfer coefficients decrease with the increase of water
depth in the basin due to decrease in the temperature
difference between the glass and water temperature.
Further it is important to note that the fluctuation in internal
convective heat transfer coefficient decreases with the
increase of water depth due to storage effect presents the
theoretical and experimental results of the hourly yield for
the studied water depths in the basin. From it is observed
that there is a fair agreement between the experimental and
theoretical results for 0.05 m water depth in the basin.
However, for higher depths (0.10 m and 0.15 m), the
fluctuation between the experimental and theoretical results
is large.
International Journal of Emerging Technology and Advanced Engineering
Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013)
68
Fig.5.Variation of convective heat transfer coefficient(hc) from Tiwari
model vs time
Fig.6.Explanation given for solar still with inclination angle of 30
degree is same as in this case also.
A. Comparison Of Ig For Both Still
The global radiation for both the still varies with almost
same characteristics and it is found higher during time
interval 11am to 2 pm in this interval the global radiation is
almost 1000 to 1050W/m2. And the comparison of the Ig
for same depth of water separately for both still is also
illustrated in fig as this varies almost similar way there is
no more deviation found.
Fig.7.global radiation vs time at 30 degree
Fig.8. global radiation vs time at 23 degree
B. Comparison Of Id For Both Still
The diffused radiation for both still at different water
level as illustrated below and it is found that the higher
value is found in case of 15cm depth of water for both still
at different angle of inclination. the higher value is found
during time interval 12noon to 1pm and its value is reach
up to179W/m2 for both still.The graph of defused radiation
for both still at different level of water separately is also
shown and it also varies with similar way and higher value
is found at 15cm depth of water for both still.
Fig.9. diffuse radiation vs time at 23 degree
Fig.10.diffuse radiation vs time at 30 degree
International Journal of Emerging Technology and Advanced Engineering
Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013)
69
C. Comparision Of Tw For Both Still
The variation of temprature of water for both still at
different water level is illustrated and is found its value
higher when the depth of water is minimum and its value is
approximately 54 degree in all cases either seperately at
different level or combined for both the still. And its value
is higher during time 1to 2 pm and water temprature varies
similarly for different depth at difffrent angle of
onclination.
Fig.11.Water temp vs time at 30 degree
Fig.12.Water temp vs time at 23 degree
D. Comparision Of Tgi For Both Still
The variation of temprature of inner glass surface with
different glass cover inclination at difrent depth of water is
illustrated its variation is similar for both still and higher
value is also same for all depth of watereither seperately or
combined and its value is approximately equal to52 degree
centigrate and it is found during 1pm to 2pm.
Fig.13.inner glass temp vs time at 30 degree
Fig.14.inner glass temp vs time at 23 degree
E. Comparision Of Tgo For Both Still
The variation of temprature of outer glass surface with
different glass cover inclination at difrent depth of water is
illustrated its variation is similar for both still and higher
value is also same for all depth of watereither seperately or
combined and its value is approximately equal to51 degree
centigrate and it is found during 1pm to 2pm.
Fig.15.outer glass temp vs time at 30 degree
International Journal of Emerging Technology and Advanced Engineering
Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013)
70
Fig.16.outer glass temp vs time at 23 degree
F. Comparision Of Yeild For Both Still
The variation of yield with different angle of inclination
of different depth of water is illustrated bellow . the value
of yeild is found higher at 5cm depth of water for both the
still during 3pm to 4pm but when the grapf is ploted
seperately at same depth of water and different angle of
inlination is also shown.the higher value is found in 30
degree angle of inclination for all the depth of water
seperately and it is found during same time intervalas
above for combined graph.
0 2 4 6 8 10 12 14 16 18 20 22 240
10
20
30
40
50
60
70
80Yield (ml) VS Time (hr) at 30 deg inclination
TIME (hr)
YIE
LD
(m
l)
5 cm depth
15 cm depth
10 cm depth
Fig.17.Yield vs time at 30 degree by simulation
Fig.18.Yield vs time at 30 degree by experiment
0 2 4 6 8 10 12 14 16 18 20 22 240
20
40
60
80
100
120Yield (ml) vs Time (hr) at 23 deg inclination
TIME (hr)
YIE
LD
(m
l)
5 cm depth
10 cm depth
15 cm depth
Fig.19.Yield vs time at 23 degree by simulation
Fig.20.Yield vs. time at 23 degree by experiment
International Journal of Emerging Technology and Advanced Engineering
Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013)
71
G. Comparision Of Efficiency For Both Still
The variation of efficiency with different angle of
inclination of different depth of water is illustrated bellow .
the value of efficiency is found higher at 5cm depth of
water for both the still during 3pm to 4pm but when the
grapf is ploted seperately at same depth of water and
different angle of inlination is also shown.the higher value
is found in 30 degree angle of inclination for all the depth
of water seperately and it is found during same time
intervalas above for combined graph.
5 6 7 8 9 10 11 12 13 14 150
5
10
15
20
25
30efficiency vs water depth
depth of water(cm)
Eff
icie
ncy(%
)
30 degree inclination
23 degree inclination
Fig.21.Efficiency vs. depth of water by simulation
Fig.22.Efficiency vs. depth of water by experiment
VI. CONCLUSION
The performance analysis of solar still is carried out by
developing Matlab model and result obtained is verified by
experimental setup.Dynamic system simulation studies
demonstrate the effectiveness of the proposed single slope
solar still.
The investigation is carried out for 30 degree and 23
degree inclination, based on this investigation it is
concluded that 30 degree inclination of solar still is more
efficient and effective for all point of view as heat transfer
coefficients, yield, global radiation diffused radiation for
the month of April.
Nomenclature
Cp = Specific heat
ρ = Density
k =Thermal conductivity
μ =Viscosity
L =Latent heat of Vaporization of water
Pci=Partial saturated Vapor pressure at condensing cover
temperature
Pw=Partial saturated vapor pressure at water
temperature
β=Expansion factor
hew= evaporative heat transfer coefficient
hcw= convective heat transfer coefficient.
Tw=water surface temperatue
Tci=glass inner temperature,
Tv=vapor temperature
qew= heat transfer per unit area per unit time
mew= rate of mass transfer, kg/s
Pr = Prandtl number
Gr= Grashoff’s number
d=depth of water in cm
Aw =evaporative surface area, m2
REFERENCES
[1 ] Dunkle, R. V., 1961, “Solar Water Distillation: The Roof Type Still and a Multiple Effect Diffusion Still,” Proceedings of the
International Development in Heat Transfer, ASME, University of
Colorado, Pt. V, p. 895.
[2 ] Malik, M. A. S., Tiwari, G. N., Kumar, A.,and Sodha, M. S., 1982,
Solar Distillation, Pergamon, London.
[3 ] Tiwari, G. N., and Lawrence, S. A., 1999, “New Heat and Mass
Transfer Relations for a Still,” Energy Convers. Manage., 31, pp.
201–203.
[4 ] Kumar, S., and Tiwari, G. N., 1996, “Estimation of Convective Mass
Transfer in Solar Distillation System,” Sol. Energy, 57, pp. 459–464.
[5 ] Tripathi, R., and Tiwari, G. N., 2005, “Effect of Water Depth on
Internal Heat and Mass Transfer for Active Solar Distillation,”
Desalination, 173, pp. 73–88
[6 ] Anil Kr. Tiwari and G. N. Tiwari”Effect of Cover Inclination and
Water Depth on Performance of a Solar Still for Indian Climatic Conditions” Journal of Solar Energy Engineering, MAY 2008, Vol.
130 / 024502-1
[7 ] Tiwari, A. Kr., and Tiwari, G. N., 2006, “Effect of Water Depth on Heat and Mass Transfer in a Passive Solar Still: In Summer,”
Desalination, 195, pp. 78–94.
International Journal of Emerging Technology and Advanced Engineering
Website: www.ijetae.com (ISSN 2250-2459, ISO 9001:2008 Certified Journal, Volume 3, Issue 3, March 2013)
72
[8 ] Tiwari, G. N., 2002, Solar Energy, 1st ed., Narosa, New Delhi/CRC,
New York, p. 506.
[9 ] Anil Kumar, G.N. Tiwari, “Thermal modeling of a natural convection greenhouse drying system for jaggery: An experimental
validation,” Solar Energy 80 (2006) 1135–1144.
[10 ] Rajesh Tripathi and G.N. Tiwari, Thermal modeling of passive and
active solar stills for different depths by using concept of solar
fraction, solar energy., 80 (2006) 956-967.
[11 ] Bala, B.K., Mondol, M.R.A., Biswas, B.K., Das Chowdury, B.L.,
Janjai, S., 2003. Solar drying of pineapple using solar tunnel drier.
Renewable Energy 28 (2), 183–190.