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7/29/2019 Litr.survey
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Introduction:-As in previous years, a considerable effort has been devoted to research in traditional
applications such as chemical processing, general manufacturing, and energy conversion
devices, including general power systems, heat exchangers, and high performance gas
turbines. In addition, a significant number of papers address topics that are at the frontiers of
both fundamental research and important emerging technologies, including Heat and mass
transfer in paper drying process.
The present review considers the overall work done with paper industry literature
published in previous years.The papers are grouped into separate subject related sections and
then into subfields within these sections. Papers pertaining to heat transfer which were
published in previous years are as follow:1) Numerical and experimental investigation of paper drying: Heat and mass transfer with
phase change in porous media.
T. Lu, S.Q. Shen., online 12 January 2007.
2) A study of the spontaneous air flow through a moving porous medium.Jianyao Moua, G. Randall Straleyb, Xiaodong Wanga, 6 March 2003.
3) Heat and mass transfer in multicylinder drying, Part I. Analysis of machine data.Lars Nilsson., 6 May 2004.
4) Heat and mass transfer in multicylinder drying Part II. Analysis of internal and externaltransport resistances.
Lars Nilsson, 10 May 2004.
5) Cross-directional control of sheet and film processes.Jeremy G. Van Antwerp, Andrew P. Featherstone, Richard D. Braatz, Babatunde A.
Ogunnaike., 19 July 2006.
6) Improved web break strategy using a new approach for steam pressure control in papermachines.
Jenny Ekvalla, Tore Hagglund, 7 March 2008.
7) Energy assessment of Paper MachinesNaveen Bhutani, Carl-Fredrik Lindberg, Kevin Starr, Robert Horton., 14 June 2012.
8) Thermodynamic simulation of dryer section heat recovery in paper machines.
L. Sivill, P. Ahtila, M. Taimisto, 10 September 2004.
9) Design of robust heat recovery systems in paper machines.
Frank Pettersson, Jarmo Soderman, 9 June 2007.
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Title: - Numerical and experimental investigation of paper drying: Heat and mass transfer
with phase change in porous media.
Author: - T. Lu, S.Q. Shen.
Available: - online 12 January 2007.
In this paper they have modeled drying process with liquid and vapor mass
conservation equation, the liquidgas mixture mass conservation equation, and the energy
conservation equation. Also Numerical simulation and experimental investigation of whole
paper drying are done on actual paper machine. The drying parameters in boundary
conditions including the temperature of outer surface of the cylinder, the temperature and the
relative humidity of the air pocket were measured. The numerical results of paper sheet
temperature of the first 26th cylinders and the final moisture content after 78 cylinders agree
well with experimental data, which means the drying model is valid to predict the
performance of paper drying. They measured surface temperature of cylinder and the paper
sheet by infrared measurement. Also, the relative humidity and temperature of air in gas
pocket by digital hygrothermograph. Hence, this paper presents a model for paper drying
based on the fundamental equation for heat and mass transfer in porous media.The drying
model applied to a running paper machine is solved by numerical method based on practical
parameter which is measured by experiment.
They have given system description of paper drying as follows:
The most common drying system used in the paper industry is a multi-cylinder dryer
section, which consists of a series (20120 units) of cylindrical 0.752.0 m diameter cast-iron
dryer drums. The two-tier paper dryer section in Fig. 1 shows the four phases of the drying
process. The drying process for each cylinder can be broken down into the following phases:
Phase I: The sheet is in contact with the outer surface of the cylinder but is not covered with
the felt.
Phase II: The sheet remains in contact with the cylinder and is covered on its outer surface
by the felt.
Phase III: The sheet remains in contact with the cylinder but is no longer covered with the
felt (similar to phase I).
Phase IV: The sheet is no longer in contact with the dryer cylinder and is in an open draw,
where moisture can evaporate from both sheet surfaces.
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Fig.1:Schematic of Paper drying system in a paper dryer section.
The paper is threaded around each dryer, which is heated by condensing steam with
conduction as the major mode of heat transfer to the sheet. The drying felt is a highly porous
material whose main purpose is to hold the paper sheet in close contact with the dryer
cylinder to increase the heat transfer between the dryer drum and paper sheet, to help prevent
shrinkage and deformation of the paper sheet, to enhance the stability of the paper running.
Measurement point:-
A, C, E-Inlet Point; B, D- Outlet Point, F, G-Top and bottom points of cylinder,
H- Center point of gas pocket.
Phase definition:-II-contacting drying period; IV-Free movement drying period.
In phases I and III, which are a small part of the whole drying period, one side of
the paper sheet is in contact with the cylinder surface while the other is exposed to the small
region between the paper sheet and the felt which can easily become saturated which limits
vapor diffusion. Therefore, in the model phases I and III are combined with phase II to form
the contact drying period, interval AB, with interval BC as the free movement drying period.
As the sheet moves from C to D, the drying boundary conditions be reversed from interval
AB. Interval DE is similar to BC. Points A and C are defined as the cylinder inlets and points
B and D are the cylinder outlets. The inlet is the beginning of the contact drying period and
also the end of the previous free movement drying period while outlet is the end of the
contact drying period and the start of the next free movement drying period. The heat and
mass transfer processes differ in the contact drying period from those in free movement
drying period, resulting in gradients of the drying parameters such as moisture content,
temperature, and pressure in the paper sheet.
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Title: - A study of the spontaneous air flow through a moving porous medium.
Author: - Jianyao Moua, G. Randall Straleyb, Xiaodong Wanga,
Available: - 6 March 2003.
This paper addresses the issues such as the velocity distribution along the moving felt
and how the flow rate through the porous material correlates with the felt permeability and
thickness.In this paper, the spontaneous flow through a moving porous medium is modeled
with both analytical and computational models. In particular, computational approaches are
compared with existing experimental results and validated with an analytical model. The
purpose of this paper is to quantify the spontaneous air flow through the permeable felt and to
find out the important factors which could significantly affect the quality of the products as
well as the energy consumption. The goal of increasing evaporation rate is usually
accomplished by various pneumatic devices, the so-called blow boxes, which are currently
used in the industry. In general, in order to enhance the circulation in the pocket and to
efficiently flush out the moisture, hot air is introduced from the blow box to the dryer pocket
via the moving permeable felt where most of the evaporation occurs. Their main interest in
his work was to find out when the relative movement between the porous material and the
surrounding air arises, why and how the air is drawn through the moving porous material, and
what are the significant influencing factors?. They established two mathematical models
(a) Represents a long and narrow channel with a constant pressure drop across the entire
length of the model (the flow is assumed to be laminar), whereas model
(b) Represents a long channel with a finite width and a constant inlet flow rate. (The flow is
considered as turbulent).
By varying different design parameters such as the felt moving velocity and the
permeability, they conclude that:
1)The increase of the felt velocity, for a given felt permeability, will increase proportionallywith the spontaneous flow rate through the felt.
2) For a fixed felt moving velocity, there exists a certain permeability threshold beyondwhich the spontaneous flow will not increase further, and such a critical point depends on
the felt woven structure, the felt moisture level, and the various operating conditions.
3)The spontaneous flow velocity profile decreases from the high pressure area to the lowpressure area. Moreover, it has a linear monotonic distribution for low permeability and a
rather uniform distribution for high permeability.
4)The selection of the felt thickness is also relevant. In fact, the thickness of the felt isinversely proportional to the spontaneous flow rate.
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Title:-Heat and mass transfer in multicylinder drying, Part I. Analysis of machine data.
Author: - Lars Nilsson.
Available: -6 May 2004.
They Presented a mathematical model describing the heat and mass transfer in thedryer section of a paper machine which has been applied to production data from four paper
machines producing paper with basis weights ranging from 0.056 to 0.390 kg d.s./m2. The
mathematical model does not include a description of the heat and mass transfer processes
occurring within the drying web, assuming instead that the temperature and moisture
content remain homogeneous in the thickness direction.The web is treated as a water film
passing through the dryer section. The aim of his study involves investigating; by
comparing simulated results to actual machine data, whether detailed models for internal
heat and mass transfer within the sheet are necessary prerequisites for successfully
calculating the final sheet moisture content/machine velocity.A total of 163 data sets were
used for validating the model.The results of his study indicate that assuming instantaneous
redistribution of heat and water within the sheet is a good enough assumption for paper
machines producing paper with basis weights below approximately 0.16 kg d.s./m2.
Data sets from paper machines:
The model was tested on data from four different paper machines, producing paper of
basis weights ranging from 0.056 to 0.390 kg d.s. /m2. A total of 163 data sets were
collected from the four machines. Each data set contains information regarding the steam
pressures in all steam groups, the basis weight and the moisture content of the sheet before
the reel, the machine speed at the press section and at reel as well as the steam flow rates to
the paper machines.
Table 1: Data from four different paper machines.
Machine A B C D
Number of data sets 60 32 28 43Number of cylinders 51 49 40 93
Range of dry basis weights (g d.s./m ) 56101 65118 102159 189390
Range of machine speeds (m/min) 480789 477700 265446 199525
Range of production rates (ton/h) 1625 1724 1113 3751
Moisture content after press section (%) 60 60 66 56
Web temperature after press section (C) 40 40 40 40
Fitted value forhcont (W/m C) 590 590 470 366
The results of this study indicate that assuming instantaneous redistribution of heat and
water within the sheet is a good enough assumption for paper machines producing paper with
basis weights below approximately 0.16 kg d.s. /m2.
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Title: - Heat and mass transfer in multicylinder drying Part II. Analysis of internal and
external transport resistances.
Author: -Lars Nilsson.
Available: - 10 May 2004.
In this paper study investigates two modelstwo limiting casesfor the internal heat
and mass transfer in a multicylinder dryer: the first model assumes that complete
redistribution of heat and moisture in the thickness direction occurs instantaneously. The
second model assumes that moisture transfer occurs only by vapor diffusion and that heat
transfer takes place by conduction and condensation.
For simplicity, a set of standard data was used for setting boundary conditions and
initial/final conditions regarding temperature and moisture content for the drying process.
1. The multi-cylinder dryer was assumed to consist of 40 cylinders, all of them heated.2. The wrap angle of the web was assumed to be 225, and3. The relation between the time for passing the draw and the time for contact with the
cylinder was assumed to be 0.40 (tdraw/tcontact = 0.40).
4. The steam temperature was assumed to be 130 C,5. The temperature and moisture content of the air in the hood was assumed to be 80 C
and 15 mol%, respectively.
6. With regard to the initial conditions, the moisture content of the sheet after the pressSection was assumed to be 1.50 kg H2O/kg d.s. and the temperature 40 C.
7. After the dryer section 0.10 kg H2O/kg d.s. was assumed to remain in the web.Transport coefficients:-
1) Convective mass transfer coefficient was taken as kconv = 0.04 m/s,2) Effective diffusivity of water vapor in paper De = 4106 m2/s, and3) Heat conductivity of paper as k = 0.09 W/mC.
Using a set of transport coefficients leading to realistic drying rates, the limiting
basis weight is established as approximately 0.05 kg d.s. /m2, which is lower than the value of
0.16 kg d.s./m2, established previously by analysis of a number of sets of machine data from
four different paper machines. Still, the mathematical model including internal heat and mass
transfer (model II) probably underestimates the mass transfer rate within the web since
capillary flow and surface diffusion are not taken into account.
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Title: -Cross-directional control of sheet and film processes.
Author: -Jeremy G. Van Antwerp, Andrew P. Featherstone, Richard D. Braatz, BabatundeA. Ogunnaike.
Available: -19 July 2006.
This paper reviews recent developments in sheet and film process control with
particular attention to the effectiveness of existing techniques at addressing the critical
aspects of sheet and film processes.Sheet and film processes include polymer film extrusion,
coating processes of many types, paper manufacturing, sheet metal rolling, and plate glass
manufacture. Identification, estimation, monitoring, and control of sheet and film processes
are of substantial industrial interest since effective control means reduced usage of raw
materials, increased production rates, improved product quality, elimination of product
rejects, and reduced energy consumption.
General features of sheet and film processes:-
High-quality sheet and film products have uniform properties both across the sheet,
called the CD, and along the length of the sheet, called the MD.
Fig.2:- Generic sheet or film process with scanning gauge
The MD problem is generally dominated by the time delay of the process and this
may have the effect of the achievable closed-loop performance.The second main control
objective is the maintenance of uniform properties across the width of the machinethis is
referred to as the cross-directional (CD) control problem. This survey is primarily focused
on the CD problem because this is generally considered to be much more difficult than the
MD problem.Among the many defects which can occur are variations in the film thickness,
surface defects, low tensile strength, low impact strength, hazy film, blocking, and
wrinkling. A major source of defects is tear or breakage of the web or sheet, and
subsequently, the ability to produce product that meets quality specifications following aweb break.
7/29/2019 Litr.survey
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Title: - Improved web break strategy using a new approach for steam pressure control in
paper machines.
Author: -Jenny Ekvalla, Tore Hagglund
Available: -7 March 2008.
This paper presents a new strategy for steam pressure control during web breaks in the
paper machine. The aim was to restart paper production with the same drying properties of
the cylinder as before the break.A detailed physical dynamic model of the drying cylinder
has been developed. The accuracy of the model has been verified through experiments made
at the M-real paper mill in Husum, Sweden. Verifications are made both during normal
operation and during web breaks.
The main purpose of a paper machine is to produce paper at a high rate while also keeping a
constant quality. Modern paper machines must produce paper at a high speed with large
demands on the quality of the paper. A key problem in this effort is to control the machine in
such a way that the production is restarted as quickly as possible after web breaks. One of the
most common ways to dry paper is multicylinder drying. The moist paper web enters the
dryer section, which consists of 50100 steam heated cast iron cylinders. The moisture
content in the paper is controlled by adjusting the steam pressure in the cylinders. At web
breaks, the heating capacity of the drying cylinders must be reduced to avoid overheating of
the cylinders. Minimizing the number of web breaks is a good way to improve the
performance of a paper machine.
The goal of the project summarized in this paper was to derive optimal heat reductions, so
that the cylinder temperatures are retained when the production is restarted after the web
break. The main purposes with the models are to predict how the dryer section can be
improved or to improve dryer section control. In this paper an introduction to the paper
drying process is first givenfollowed by a presentation of simulation models and validation
examples.
The paper web goes through a number of steps on its way through the paper machine
The paper machine starts with the head box where pulp is evenly distributed on a screen.
Next section is the wire section where the sheet is formed on a wire. The wire is permeable,
and lets the fibres stay and the water flow away. In the press section more water is removed
by presses. The pressing also consolidates the web structure. In the dryer section the
remaining water in the paper is removed by evaporation on steam heated cylinders. The
surface is treated with a sizing solution in the surface sizing. The solution is added to improve
certain physical properties of the web, such as surface strength and printing properties. In the
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calender the sheet runs through roll nips to smooth the surface. The final step is the upwind,
where the paper web is reeled up on a tambour.
From the press section, the paper web enters the dryer section with 5070% moisture
content. After the dryer section the desired moisture content is 210%. Evaporation of water
from the wet paper sheet is energy consuming. In the dryer section, many properties of the
final product are determined. If the drying is performed poorly, the paper produced may be
too moist. The opposite, too dry paper, is a smaller problem, but can also lead to production
difficulties. If the paper is dried unevenly, the result can be curl. At the start of the dryer
section, the moisture content is high and the steam pressure has to be low in the first cylinders
to prevent the web from sticking on the cylinders. The lower the moisture content is in the
web, the higher the steam pressure is. The highest steam pressure is held in the last drying
cylinders in the dryer section. The drying cylinders are not controlled one by one, but are
organized into drying groups.
A web break is when, during operation, the sheet suddenly tears apart and production
has to be restarted. Web breaks can be caused by web flutter, holes in the paper sheet or if the
sheet is too wet or too dry.During web breaks, the heating capacity of the drying cylinders
must be reduced to avoid overheating of the cylinders. In some paper machines the steam
pressure is reduced to a fixed level and in others the reduction is accomplished in a certain
relation to the steam pressure before the break.
Fig.3:-Temperature measuring equipment mounted at the cylinder.
The temperature sensor (Swema SWT 315) has to be a contact sensor due to the fact
that the drying cylinders are shiny and therefore reflect radiation from an infrared sensor.
Humidity in the air can also absorb infrared radiation of certain wave lengths. If an infrared
sensor is used, it is more likely that the temperature of the surrounding air is measured and
not the cylinder temperature.
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The aim of this project was to control the steam pressure of the drying cylinder in
such a way that the same drying properties are obtained after the web break as before. To
achieve this, the steam pressure must be reduced during web breaks since the large cooling
effect from the paper web is lost. The objective is to have the same cylinder temperature
after the web break as before. The cylinder temperature is not measurable and therefore the
steam pressures in the cylinders are used as control variables.
The presented control strategy was the result of the aim to guarantee paper quality and
increase paper production by improving the steam pressure control during web breaks. The
model, describing the relation between the steam pressure in the cylinder and the cylinder
temperature, was verified through experiments performed on the paper machine PM7 in the
M-real Husum mill. Experiments were performed both during normal operation and during
web breaks. The measured steam pressure was fed into the model and the resulting cylinder
temperature from the model was compared with the true cylinder temperature. The
experiments showed that the output from the model agreed very well with the true cylinder
temperature.Based on the model, a new control strategy to improve steam pressure control
during web breaks was acquired. The idea was to use the information from the digital signal
that tells whether the paper is on the cylinder or not. This signal is used to change the set
point of the steam pressure controllers when the web breaks, and when the web is back on
the cylinder after the break. The idea behind the compensator was to obtain an optimal
cylinder temperature during the web break, so that the desired moisture content of the paper
is obtained as quickly as possible after the break.
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Title: - Energy assessment of Paper Machines
Author: -Naveen Bhutani, Carl-Fredrik Lindberg, Kevin Starr, Robert Horton.
Available: - 14 June 2012.
In this paper energy assessment is done by quantifying energy flows, benchmarkingenergy users, data mining and steam sensitivity analysis and by experiments and additional
measurements at the paper machine.There is a large value in making Pulp and Paper mills
more energy efficient. ABB has developed an energy assessment service where opportunities
to save energy in the paper machine are identified.
Paper machines consume a large amount of energy and in most cases large savings are
possible. An approximate overview of the dryer section of a paper machine is presented in
Fig. 1. The energy flows in the paper machine in the form of steam, condensate, air, water
streams and paper. The paper is dried when it travels on the steam heated cylinders. The
moisture in the paper is ventilated away and heat is recovered from exhaust air by air-air heat
exchangers and transferred to the inlet air, which is partly heated further in a steam-air heat
exchanger. The air to the machine hall is also heated in air-air exchanger and steam-air
exchanger. The condensate from steam heated cylinders is flashed in a condensate tank. Most
of the flash steam is recovered by thermo-compressors and recirculated back to steam
cylinders whereas the remaining flash steam goes to the condenser. The condenser is water
cooled and produces warm water by absorbing heat from flash steam. Some paper machines
also use steam box which makes pressing more efficient at the expense of steam
consumption.
Fig. 4. Schematic of paper dryer section of a paper machine
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The challenge is to find where energy is wasted and savings are possible. Measuring
and improving energy performance is of course not a new idea. They have found that the
pocket air ventilation, hood balance and dew point have significant influence of paper
machine energy efficiency.One of the important findings was, more than 10% of the total
steam energy was going to the condenser, which indicates that the excess flash steam was lost
to condenser due to poor steam control. One contributor to the large steam flow to the
condenser was inefficient thermo-compressors.A typical thermogram of dryer cylinders in
the end of the paper machine is presented in Fig.2, where the maximum and minimum
temperatures are given along the cyan lines in the image on the left. After investigation, only
minor problems were found with steam heated cylinders. For example one of the cylinders
was cooler in the end, and another cylinder was dirty which caused stripes in the thermogram
of the cylinder.The dryer cylinders are very shiny and sometimes it is possible that one gets
the temperature of the reflected object than the steam cylinder itself if the thermal camera is
not placed or mounted correctly.
Fig.5:-Thermogram of dryer cylinders
The thermograms were useful to detect temperature gradients along a cylinder and
temperature differences between different cylinders that could be used to detect of poorly
working cylinders. Though, it was difficult to trust the measured absolute values of
cylinders surface temperatures completely due to their sensitivity to emissivity factor, the
relative values for measured temperatures using same emissivity in all thermograms proved
to be useful.
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Fig. 6:- Thermogram and normal photo of hood.
A thermogram and normal photo of a section of the hood is shown in Fig.3. It can be
seen that the outside surface temperature of hood above the door is higher than surrounding,
which signifies the leakage of hot air from the hood. Therefore, the sealing of heat leak would
save energy and reduce the humidity in the machine hall. The need for ventilation in the
machine hall will also reduce if there is less leakage of moist air from hood to machine hall,
signifying steam savings for heating of the machine hall air.
ABBs recently developed paper machine steam energy fingerprint (audit) solution is
suitable for evaluation of steam cycle of the paper machine. By quantifying, benchmarking
and data mining, the steam supply, use and inefficiency can be measured. If the loss of
energy is beyond specifications, then the poor operating performance can be identified and
target solutions can be applied.
In this paper an investigation of the dryer section of a paper machine has been done
and the potential steam savings of 10-15% are possible by reducing process variations,
optimizing control set points for steam dryers groups, repairing and/or improving operation
of thermo-compressors, optimizing steam box pressure, seal leaks of hoods etc.
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Title: -Thermodynamic simulation of dryer section heat recovery in paper machines.
Author: -L. Sivill, P. Ahtila, M. Taimisto.Available: -10 September 2004.
In this paper, the simulation program is compared with measurements from three
paper machines. Furthermore, practical guidelines are presented for the improvement of
dryer section heat recovery based on conclusions from simulated examples.Modern paper
machines are equipped with heat recovery systems that are able to recover over 50% of the
energy used by the paper machine. The recovered heat is used for the heating of dryer
section supply air, process water and machine hall ventilation. Today, the structure of new
heat recovery installations is optimized with sophisticated algorithms to match the design
point of the paper machine.The heat recovery system of a paper machine is basically a heat
exchanger network that conveys energy from the humid exhaust air of the paper machine
dryer section to different process streams.The humid exhaust air from the dryer hood is
first led to conventional heat recovery (CHR) units, which recover heat to the dry supply air
going into the hood. After this, heat is recovered in aqua heat recovery (AHR) units to the
circulation water of machine hall ventilation process water, white water and/or wire pit
water, depending on the structure of the heat recovery system. Hence the fundamental
purpose of the dryer section heat recovery is to return part of the energy used by the paper
machine back into use in a profitable way. The exhaust air never becomes completely
saturated except for the thin boundary layer that develops on the surface of the heat
exchanger. Modeling of heat transfer from humid air requires the determination of the
surface temperature and the dew point throughout the whole heat exchanger.
The purpose of dryer section heat recovery is to decrease the energy use of a paper
machine as economically as possible. This includes providing the optimal structure of heat
recovery as well as efficient operation conditions for the system. In reality, there is no
guarantee that an installed heat recovery system will operate efficiently, since the original
design parameters may be appropriate only for a short period of time. After all, the main
purpose of a paper machine is to produce paper; the continuous effort towards a higher
production capacity does not automatically mean that energy economy is taken into
account. As a rule, energy efficiency can be improved for as long as it is financially
profitable and the changes do not compromise the production or cause problems to process
control and safety.Then again, running a process with high efficiency is more important
than getting the data right to the last digit.
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Title: -Design of robust heat recovery systems in paper machines.
Author: -Frank Pettersson , Jarmo Soderman.
Available: -9 June 2007.
The heat recovery system (HRS) is a vital part in a paper machine when it comes to
the overall energy economy in papermaking. For a typical newsprint machine more than 60%
of the exhaust energy from the dryer section can be recovered, resulting typically in a regain
of about 30MW.The synthesis task of a HRS is a decision process where the target is on the
one hand to achieve maximal energy recovery and on the other hand to obtain it with minimal
investment costs.
A modern paper machine may have a yearly production of 350,000 tonnes of paper and
a machine speed up to 2000 m/min. The papermaking process is highly energy consuming.
For manufacturing 1 ton of newsprint about 600 kWh electricity and 1500 kWh heat energy
are required. Almost all the heat energy is used in the drying section. Drying of the paper web
from about 3550% dry content to about 90% dry content is performed in the dryer section of
the paper machine where cylinders are heated with low pressure stream. For removal of
moisture, supply air at 95 C is blown into the paper hood resulting in an exhaust air flow
from the hood with a moisture content of about 100170 gH2O/kg dry air at a temperature of
8090 C. Almost all heat energy used in the process can be found in the exhaust air and it is
thus very suitable for attempts to recover the heat. The main target with heat recovery is
naturally considerable cost savings.
Fig.7:- Heat Recovery systems.
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The recovered heat can be used to heat a variety of streams. It can be transferred to the
circulation water heating the machine room ventilation air, to process water and to the
heating of supply air to the dryer section.The moist exhaust air from the hood is removed at
three different locations.
All heat exchangers are considered to be of counter current type and the minimum
required heat exchanger area for a given heat transfer is thus calculated using
Where Q is the heat load for the current heat exchanger,
U is the overall heat transfer coefficient and
TLM is the logarithmic mean temperature difference.
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Conclusion:-
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References:-1)Numerical and experimental investigation of paper drying: Heat and mass transfer with
phase change in porous media.
T. Lu, S.Q. Shen., online 12 January 2007.
2) A study of the spontaneous air flow through a moving porous medium.Jianyao Moua, G. Randall Straleyb, Xiaodong Wanga, 6 March 2003.
3) Heat and mass transfer in multicylinder drying, Part I. Analysis of machine data.Lars Nilsson., 6 May 2004.
4) Heat and mass transfer in multicylinder drying Part II. Analysis of internal and externaltransport resistances.
Lars Nilsson, 10 May 2004.
5) Cross-directional control of sheet and film processes.Jeremy G. Van Antwerp, Andrew P. Featherstone, Richard D. Braatz, Babatunde A.
Ogunnaike., 19 July 2006.
6) Improved web break strategy using a new approach for steam pressure control in papermachines.
Jenny Ekvalla, Tore Hagglund, 7 March 2008.
7) Energy assessment of Paper MachinesNaveen Bhutani, Carl-Fredrik Lindberg, Kevin Starr, Robert Horton., 14 June 2012.
8) Thermodynamic simulation of dryer section heat recovery in paper machines.
L. Sivill, P. Ahtila, M. Taimisto, 10 September 2004.
9) Design of robust heat recovery systems in paper machines.
Frank Pettersson, Jarmo Soderman, 9 June 2007.
10) Kuvalekar D. Reducing Specific Steam Consumption through Automation in Steam
Systems, Proceedings of PAPAEREX 2007, New Delhi, India, December 7-9, 2007.
11) Sivill L. and Ahtila P. Energy efficiency improvement of dryer section heat recovery
systems in paper machinesA case study.
Applied Thermal Engineering, 2009; 29, p. 3663-3668.