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International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 –
6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME
244
MEASUREMENT OF DEVOLATILIZATION TIME AND TRANSIENT
SHRINKAGE OF A CYLINDRICAL WOOD PARTICLE IN A
BUBBLING FLUIDIZED BED COMBUSTOR
M. Sreekanth
School of Mechanical and Building Sciences, VIT University, Chennai Campus,
Vandalur - Kelambakkam Road, Chennai - 600 127, India.
ABSTRACT
This work presents the results of experiments conducted to determine the mass loss
and size reduction characteristics of a cylindrical wood particle undergoing devolatilization
under oxidation conditions in a bubbling fluidized bed combustor. Cylindrical wood particles
having five different sizes ranging from 10 to 30 mm and aspect ratio (l/d=1) have been used
for the study. Experiments were conducted in a lab scale bubbling fluidized bed combustor
having silica sand as the inert bed material and air as the fluidizing medium. Devolatilization
time, and radial and longitudinal shrinkages have been measured during and at the end of
devolatilization. Studies have been carried out at three different bed temperatures (Tbed=750,
850 and 950 °C), two inert bed material sizes (mean size dp=375 and 550 µm) and two
fluidizing velocities (u=5umf and u=10umf). Devolatilization time is most influenced by the
initial wood size and bed temperature. Longitudinal shrinkage begins after 50% of conversion
while radial shrinkage occurs right from the beginning. There was no clear influence of the
fluidization velocity and bed particle size on the parameters studied.
Key words: Wood; Devolatilization; Fluidized bed; Shrinkage.
1. INTRODUCTION
Devolatilization is an important stage of wood combustion, due to the amount of
volatiles contained in it (~ 75% by mass) and the amount of heat contained in them (~ 80%
by mass). The rate of devolatilization determines the speed at which the volatiles release,
depending on which the type of feeding to the bed (under feeding or over feeding) and
INTERNATIONAL JOURNAL OF MECHANICAL ENGINEERING
AND TECHNOLOGY (IJMET)
ISSN 0976 – 6340 (Print)
ISSN 0976 – 6359 (Online)
Volume 4, Issue 3, May - June (2013), pp. 244-258
© IAEME: www.iaeme.com/ijmet.asp
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International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 –
6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME
245
location of the feed points could be established. Therefore physical changes that take place in
the wood particle during devolatilization need to be studied.
Wood is known to shrink during devolatilization. It is also known to fragment under
certain combustor conditions1-3
. Both these phenomena greatly reduce the size of the wood
particle. The reduced size could have significant influence on the heat conducted and oxygen
diffusion into the particle and on the rate of the subsequent chemical reactions. Significant
size reduction could result in elutriation of un-burnt fuel, thereby causing direct carbon loss.
The size reduction could also play a dominant role in the sizing of the down-stream
particulate collection equipment.
A number of published articles report experimental investigations of devolatilization
time and final char yield of wood in different types of combustors and under different
conditions4
. Shrinkage of millimeter sized wood under fluidized bed combustor conditions
have been reported by 5
. But they have measured shrinkage at the end of devolatilization. All
the devolatilization models assume that shrinkage depends linearly on the degree of
conversion, which may not be true. Davidsson et al. 6
reported time dependant (Transient)
shrinkage measurement of 5 mm cubes in a single particle reactor, where they noticed that the
shrinkage is not linear. Such measurements have not been reported under fluidized bed
combustion conditions. Fluidized beds have low carbon loading and high heat transfer
coefficients when compared to single particle reactors. Also, in a fluidized bed, the
atmosphere is oxidizing while that in the above mentioned single particle reactor is nitrogen.
Therefore the present work aims at studying the Devolatilization Time (τd) and
Shrinkage at different operating conditions. For a wider range of applicability, experiments
are conducted at different wood particle sizes, bed temperatures, inert bed material sizes and
fluidization velocities.
2. EXPERIMENTAL
All the experiments were conducted in a laboratory-scale bubbling fluidized bed
combustor. A schematic diagram of the experimental facility is shown in Figure 1. The
combustor mainly consists of a stainless steel reactor, the diameter of which is 130 mm and
the height is 600 mm. The reactor is provided with silicon carbide heaters close to its outer
surface to maintain the bed temperature at a desired value. The inert bed material is supported
by a distributor plate, and the static bed height is kept same as the reactor diameter. The pre-
heated air necessary for fluidizing the bed is supplied by a blower before being heated to 200
°C by air pre-heaters. The air quickly assumes the bed temperature on entering it due to the
good mixing and high heat transfer rates prevalent in the bed. This was in return verified by
the temperatures measured at different heights of the bed. Tables 1 and 2 give the
experimental details.
The fuel wood, Casuarina Equisetifolia in this case, was de-barked and turned on a
lathe to the required dimensions. The centre of the branch was coinciding with the axis of the
cylinder. Prior to each experiment, every wood sample was weighed and its dimensions
noted. Also, one sample from each batch of wood samples was dried in a moisture balance to
determine the amount of moisture contained. This moisture content was attributed to all the
samples in the batch and this sample was never used in the experiments. The moisture
contained in the wood varied from 7 to 22 % during the experimental campaign. The
proximate and ultimate analyses of Casuarina Equisetifolia are given in Table 3.
International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 –
6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME
246
Fluidized bed
Valve
Mirror
Stand
Tbed3
Tbed2
Tbed1
Electrical
Heater Coil
Distributor Plate
D P T
Pressure Tapping
SS Wire
Mesh Net
'K' Type Thermocouple
Orifice Plate
Combustor
Section
SS
Mirror
Divergent
Section
Insulation
Supporting Stand
Flexible Joint
Air Blower
Air Pre-Heater
Data Acquisition
System
Figure 1: Schematic diagram of the bubbling fluidized bed combustor setup
Table 1: Experimental conditions
Reactor material 316 grade stainless steel
Reactor diameter 130 mm
Reactor height 600 mm
Static bed height 130 mm
Bed temperature 750, 850, 950 °C
Inert bed material Silica sand, 375, 550 µm
Pre-heated air
temperature
200 °C
Fluidizing velocity u=5umf, 10umf
Fuel shape Cylinder
Fuel size (l/d) 10/10, 15/15, 20/20, 25/25, 30/30 mm
Table 2: Fluidizing velocities
Bed
temperature
(°C)
dp=375 µm dp=550 µm
5umf (m/s) 10umf (m/s) 5umf (m/s) 10umf (m/s)
750 0.25 0.5 0.54 1.1
850 0.24 0.48 0.51 1
950 0.22 0.45 0.48 0.96
International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 –
6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME
247
Table 3: Proximate and Ultimate analysis of Casuarina Equisetifolia
Quantity Content (%)
Proximate Analysis
Moisture 10.8
Volatiles 72.5
Fixed carbon 16.4
Ash 0.3
Ultimate Analysis
Carbon 42.5
Hydrogen 6.1
Nitrogen 0.16
Oxygen 51.24
The experimental procedure is described below. Once the combustor conditions have
been established, a wood particle of known mass and size was introduced into the bed with
the help of a stainless steel basket. The basket was made up of a stainless steel mesh (304
grade) having an opening approximately equal to twice the bed material size, in order to
facilitate free flow of the material in and out of the basket and also to minimize the char loss
to the bed. The basket diameter is 110 mm, which leaves enough clearance between itself and
the thermocouples protruding from the sides of the reactor. The basket is 200 mm tall so that
the fuel particle does not escape from the top due to bed expansion. The basket along with the
wood particle is pushed into the bed until it touches the bottom. The fuel particle ignites on
entering the bed and begins to move chaotically along with the sand inside the basket. Most
of the time, volatiles’ flame was seen on top of the bed along with the fuel particle. The end
of devolatilization was inferred by the extinguishing of the flame. The time elapsed between
the introduction to the flame extinction (Flame extinction time, FET) was noted. The char
particle(s) remaining at the end of devolatilization were taken out of the bed with the basket
and immediately quenched using fine sand (375 µm) at room temperature. The time elapsed
between removal and complete quenching was about 4 seconds. On cooling, the char
particles were carefully separated from the sand and their dimensions measured. This
procedure was repeated five times to establish an average devolatilization time. The average
devolatilization time (τd) is then divided into four equal parts. A fresh wood particle was then
subjected to devolatilization for a period of 1/4 τd and removed immediately, quenched,
cooled, counted and measured for dimensions. This procedure was repeated three times for
each quarter of τd. The entire experiment therefore needs 14 samples and takes about one
hour for completion. After completion the char samples were preserved in labeled air-tight
plastic pouches.
3. RESULTS AND DISCUSSION
3.1. Devolatilization time (ττττd)
3.1.1. Influence of size and bed temperature
Devolatilization of large particles which are used in fluidized bed combustors is
mainly heat transfer controlled. Also, the devolatilization is known to take place within a
temperature window of 350 - 600 0
C. The speed at which the heat wave penetrates through
International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 –
6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME
248
the particle determines the devolatilization time. Figure 2 shows the devolatilization times
obtained at the three bed temperatures under study. It can be seen that devolatilization time is
longer at lower bed temperatures and for larger wood particles.
Figure 2: Devolatilization time of cylinders at different bed temperatures and inert bed
material size of dp=375 µm, u=5umf
3.1.2. Influence of fluidization velocity
The influence of the fluidization velocity at 850 and 950 °C on the devolatilization
time is shown in Figure 3(a) and 3(b) respectively. There appears to be no definite influence
of the fluidization velocity on the devolatilization time. This could be due to the fact that
increased velocity increases the surface heat transfer rate but the conduction resistance within
the particle is quite dominant, thereby nullifying the effects at the surface. The deviations in
the devolatilization times could be attributed to the varying properties of the wood samples.
Figure 3a: Devolatilization time at two different velocities. Tbed=850 °C, dp=375 µm
10 15 20 25 30
Initial Size (mm)
0
50
100
150
200
250
300
350
Devolatilizationtime(s)
750 C
850 C
950 C
10 15 20 25 30
Initial Size (mm)
0
50
100
150
200
250
300
350
Devolatilizationtime(s)
u=5u_mf
u=10u_mf
International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 –
6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME
249
Figure 3b: Devolatilization time at two different velocities. Tbed=950 °C, dp=375 µm
3.1.3. Influence of inert bed material size
Figures 4(a) and 4(b) show the influence of different bed material size on the
devolatilization time at bed temperatures of 750 and 850 °C respectively. In this case too, no
definite influence of bed material was seen except in Figure 4b, for the 30/30 mm particle, the
550 µm bed particle results in a lower devolatilization time than the 375 µm bed particle.
More over, any difference was noticeable only for the larger wood particles.
Figure 4a: Devolatilization time at different inert bed material sizes. Tbed=750 °C, u=5umf
10 15 20 25 30
Initial Size (mm)
0
50
100
150
200
250
300
350
Devolatilizationtime(s)
u=5u_mf
u=10u_mf
10 15 20 25 30
Initial Size (mm)
0
50
100
150
200
250
300
350
Devolatilizationtime(s)
375 micron
550 micron
International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 –
6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME
250
Figure 4b: Devolatilization time at different inert bed material sizes. Tbed=850 °C, u=10umf
All the data obtained for the devolatilization time at different bed temperatures, inert
bed material sizes and velocities was used to obtain a correlation for the devolatilization time.
The correlation is given in the form:
b c
d cyl bedad Tτ −
=
The present correlation predicts the present experimental devolatilization times with a
maximum error of 16%, while Renu et al4
. correlation had a maximum deviation of 13%. But
their experiments were conducted at a single velocity and for one size of bed material. The
correlation obtained for the present work is given as:
16%248 78.0646.1
±= −
bedd Tdτ
In the above correlation, the time is measured in seconds, diameter in mm and bed
temperature in Kelvin.
3.2. Shrinkage
Shrinkage is the reduction in the size of the wood particle during devolatilization and
it can be defined by the ratio of instantaneous size reduction to the initial size.
Mathematically it can be represented as:
Shrinkage=
Reduction in dimension
100
Initial dimension
×
Shrinkage can be measured in the longitudinal and radial directions for a cylindrical
wood particle and the volumetric shrinkage can be computed from this measured data.
10 15 20 25 30
Initial Size (mm)
0
50
100
150
200
250
300
350
Devolatilizationtime(s)
375 microns
550 microns
International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 –
6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME
251
3.2.1. Longitudinal shrinkage
3.2.1.1. Influence of size
Figure 5 shows the longitudinal shrinkage of cylindrical wood particles at different
sizes and temperatures. To obtain an overall view, the shrinkage values obtained at different
bed particle sizes and velocities have been used in the plot. It can be seen that there is a
decrease in the longitudinal shrinkage as the size increases. This could be due to decreasing
amount of heat transferred in the longitudinal direction as the particle length increases. The
shrinkage ranges from 7-25 %. There is no clear influence of the temperature visible on the
longitudinal shrinkage, from this graph.
Figure 5: Influence of size on the longitudinal shrinkage
3.2.1.2. Influence of bed temperature
Figure 6 shows the longitudinal shrinkage in a 10/10 mm wooden cylinder
devolatilized at different bed temperatures. It can be seen that the shrinkage increases with a
rise in the bed temperature. This again can be explained by the increased rate of heat
transferred due to a rise in the bed temperature. Therefore, for the particle sizes considered,
the rate of heating and therefore the surrounding temperature appears to slightly influence the
amount of lengthwise shrinkage.
The correlation for Longitudinal Shrinkage (sl) is given as:
8%7.20295.0 ±+−= dsl
10 15 20 25 30
Initial Size(mm)
Longitudinalshrinkage(%)
0
20
40
60
80
100
0
20
40
60
80
100 750C
850C
950C
International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 –
6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME
252
Figure 6: Influence of bed temperature on the longitudinal shrinkage of a 10/10 mm cylinder
3.2.1.3. Variation with degree of conversion
The degree of conversion is defined as:
Degree of conversion=
Instantaneous mass
1 100
Initial dry mass
 
− × 
 
Figure 7 shows the variation of the longitudinal shrinkage with the degree of
conversion obtained at a bed temperature of 950 °C. To obtain an overall view, all the data
points for various wood sizes, bed particle sizes and velocities are included. The graph shows
that very little shrinkage takes place till a conversion of 50% was achieved. This implies that
the wood constituents along the length begin to decompose only at the later stages of
devolatilization. It can also be seen that the longitudinal shrinkage increases linearly until the
degree of conversion attains a value of 75%. Beyond that, in the last stage of conversion,
there is a steep rise in the longitudinal shrinkage.
Figure 7: Variation of longitudinal shrinkage with the degree of conversion. Tbed=950 °C
650 750 850 950 1050
Bed Temperature (C)
0
20
40
60
80
100
Longitudinalshrinkage(%)
25 50 75 100
Degree of conversion (%)
0
20
40
60
80
100
Longitudinalshrinkage(%)
International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 –
6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME
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3.2.2. Radial shrinkage
3.2.2.1. Influence of size
Figure 8 shows the variation of radial shrinkage with the size. To obtain an overall
view, the shrinkage values obtained at different bed particle sizes and velocities have been
used in the plot. For the size 30/30 mm, only few data points were available as most samples
fragmented. The radial shrinkage ranges from 10% to 35%. It can be seen that there is a slight
increase in the radial shrinkage with the size but the figure gives no clear indication of the
influence of temperature.
Figure 8: Influence of size on the radial shrinkage
3.2.2.2. Influence of bed temperature
Figure 9 shows the influence of bed temperature on the radial shrinkage at the end of
devolatilization. It can be seen that there is a strong reduction in the amount of shrinkage as
the bed temperature rises. At higher bed temperatures, when the heat transfer rate is high, the
reactions causing radial shrinkage do not have enough time to proceed. Since wood
comprises of different constituents (cellulose, hemi-cellulose and lignin) which react at
different temperatures, this is possible.
The correlation for Radial Shrinkage (sr) is given as:
17%5.150 379.0224.0
±= bedr Tds
where the bed temperature is in absolute units.
10 15 20 25 30
Initial Size (mm)
0
20
40
60
80
100
Radialshrinkage(%)
750 C
850 C
950 C
International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 –
6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME
254
Figure 9: Influence of bed temperature on the radial shrinkage of a 30/30 mm cylinder
3.2.2.3. Variation with degree of conversion
Figure 10 shows the variation of radial shrinkage with the degree of conversion at a
bed temperature of 750 °C. Radial shrinkage varies between 8 to 30%. Shrinkage begins quite
early in the conversion process and then there is a steady linear rise in the shrinkage till the
degree of conversion reaches 75% beyond which the shrinkage rises steeply.
Figure 10: Variation of radial shrinkage with the degree of conversion. Tbed=750 °C
650 750 850 950 1050
Bed Temperature (C)
0
20
40
60
80
100
Radialshrinkage(%)
25 50 75 100
Degree of conversion (%)
0
20
40
60
80
100
Radialshrinkage(%)
International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 –
6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME
255
3.2.3. Volumetric shrinkage
3.2.3.1. Influence of size
Figure 11 shows the influence of size on the volumetric shrinkage. To obtain an
overall view, the shrinkage values obtained at different bed particle sizes and velocities have
been used in the plot. The volumetric shrinkage varies between 30 and 60 % and there was
almost no influence of size on the amount of volumetric shrinkage. This could be due to
decreasing longitudinal shrinkage and increasing radial shrinkage with increasing size.
Figure 11: Influence of size on the volumetric shrinkage
3.2.3.2. Influence of bed temperature
Figure 12 shows the influence of bed temperature on the volumetric shrinkage of a
20/20 mm cylinder. The volumetric shrinkage slightly decreases with a rise in temperature.
The volumetric shrinkage is computed from the longitudinal and radial shrinkages. Since it
depends on the square of radial shrinkage, it has the same behaviour of that of radial
shrinkage.
The correlation for Volumetric Shrinkage (sv) is given as:
10%35.23 0555.00917.0
±= bedv Tds
where the bed temperature is in absolute units.
10 15 20 25 30
Initial Size (mm)
0
20
40
60
80
100
Volumetricshrinkage(%)
750 C
850 C
950 C
International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 –
6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME
256
Figure 12: Influence of bed temperature on volumetric shrinkage of a 20/20 mm cylinder
3.2.3.3. Variation with degree of conversion
Figure 13 shows the variation of volumetric shrinkage with the degree of conversion
at a bed temperature of 850 °C. It can be seen that up to a value of 75%, the rise is linear but
steep while beyond 75%, it is non-linear and very steep. The steepness is due the influence of
the radial shrinkage just mentioned.
Figure 13: Variation of volumetric shrinkage with the degree of conversion. Tbed=850 °C
650 750 850 950 1050
Bed Temperature (C)
0
20
40
60
80
100
Volumetricshrinkage(%)
25 50 75 100
Degree of conversion (%)
0
20
40
60
80
100
Volumetricshrinkage(%)
International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 –
6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME
257
Figure 14 shows the longitudinal, radial and volumetric shrinkages of wooden
cylinders at a bed temperature of 850 °C. It can be seen that the dependence is different from
linear. As most models of devolatilization assume a linear relationship between the
shrinkages and degree of conversion, in case the models are sensitive to shrinkage, they will
need modifications.
Figure 14: Shrinkage as a function of the degree of conversion. T¬bed=850 °C
Figure 15 shows the longitudinal, radial and volumetric shrinkages of all the sizes
subjected to devolatilization at a bed temperature of 750 °C. Longitudinal shrinkage is steep
during the second half of the devolatilization time while radial shrinkage and therefore
volumetric shrinkage is fast during the initial stages and is less steep during the later stages.
Figure 15: Progress of shrinkage during devolatilization. Tbed=750 °C
25 50 75 100
Degree of Conversion (%)
0
20
40
60
80
100
Shrinkage(%) Radial shrinkage
Longitudinal shrinkage
Volumetric shrinkage
0 0.25 0.5 0.75 1
Fraction of devolatilization time
0
20
40
60
80
100
Shrinkage(%)
10/10 mm cylinder
15/15 mm cylinder
20/20 mm cylinder
25/25 mm cylinder
30/30 mm cylinder
Longitudinal
Radial
Volumetric
International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 –
6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME
258
4. CONCLUSIONS
1. Devolatilization time increases with the initial wood particle size while it decreases with
bed temperature.
2. The longitudinal shrinkage is independent of the bed temperature while radial shrinkage is
strongly dependent on it.
3. Shrinkage does not depend linearly on the degree of conversion. Longitudinal shrinkage
occurs mostly after 50% of the conversion, while radial and volumetric shrinkages occur
from the beginning of the conversion process.
4. Correlations for Devolatilization Time and final Shrinkage in longitudinal and radial
directions have been proposed.
ACKNOWLEDGEMENT
The reported experimental work has been carried out in the Heat Transfer and
Thermal Power Laboratory at the Indian Institute of Technology Madras (IIT Madras) by the
funding provided by The Swedish International Development Agency (SIDA). The author is
grateful for the same.
REFERENCES
[1] Chirone, R.; Greco, G.; Salatino, P.; Scala, F. (1997) The relevance of comminution
phenomena in the fluidized bed combustion of a biomass (Robinia Psuedoacacia),
Proceedings of the 14th International Conference on Fluidized Bed Combustion, ASME, 145-
150.
[2] Scala, F.; Chirone, R. (2004) Fluidized bed combustion of alternative solid fuels,
Experimental and Thermal Fluid Science, 28(7), 691-699.
[3] Sreekanth, M.; Ajit Kumar Kolar, Leckner, B. (2006) Effect of Shape and Size of
Wood on Primary Fragmentation in a Laboratory Scale Fluidized Bed Combustor, Paper No.
97, 19th International Conference on Fluidized Bed Combustion, Rutzky Druck, St. Poelten,
Vienna, Austria.
[4] Renu Kumar, R; Ajit Kumar Kolar, Leckner, B. (2004) Effect of fuel particle shape
and size on devolatilization time of Casuarina wood. Science in Thermal and Chemical
Biomass Conversion, Vancouver Island, Victoria BC, Canada, August-September.
[5] Renu Kumar R, Ajit Kumar Kolar and Bo Leckner. (2006) Shrinkage characteristics
of Casuarina wood during devolatilization in a fluidized bed combustor. Biomass &
Bioenergy, 30(2),153-165.
[6] Davidsson, K.O.; Pettersson, J.B.C. (2002) Birch wood particle shrinkage during
rapid pyrolysis, Fuel, 81, 263-270.
[7] Ayub A. Miraje and Dr. Sunil A. Patil, “Infinite Fatigue Life of Three Layer Shrink
Fitted Compound Cylinder under Fluctuating Internal Pressure”, International Journal of
Mechanical Engineering & Technology (IJMET), Volume 3, Issue 1, 2012, pp. 288 - 299,
ISSN Print: 0976 – 6340, ISSN Online: 0976 – 6359.

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Measurement of devolatilization time and transient shrinkage of a cylind

  • 1. International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 – 6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME 244 MEASUREMENT OF DEVOLATILIZATION TIME AND TRANSIENT SHRINKAGE OF A CYLINDRICAL WOOD PARTICLE IN A BUBBLING FLUIDIZED BED COMBUSTOR M. Sreekanth School of Mechanical and Building Sciences, VIT University, Chennai Campus, Vandalur - Kelambakkam Road, Chennai - 600 127, India. ABSTRACT This work presents the results of experiments conducted to determine the mass loss and size reduction characteristics of a cylindrical wood particle undergoing devolatilization under oxidation conditions in a bubbling fluidized bed combustor. Cylindrical wood particles having five different sizes ranging from 10 to 30 mm and aspect ratio (l/d=1) have been used for the study. Experiments were conducted in a lab scale bubbling fluidized bed combustor having silica sand as the inert bed material and air as the fluidizing medium. Devolatilization time, and radial and longitudinal shrinkages have been measured during and at the end of devolatilization. Studies have been carried out at three different bed temperatures (Tbed=750, 850 and 950 °C), two inert bed material sizes (mean size dp=375 and 550 µm) and two fluidizing velocities (u=5umf and u=10umf). Devolatilization time is most influenced by the initial wood size and bed temperature. Longitudinal shrinkage begins after 50% of conversion while radial shrinkage occurs right from the beginning. There was no clear influence of the fluidization velocity and bed particle size on the parameters studied. Key words: Wood; Devolatilization; Fluidized bed; Shrinkage. 1. INTRODUCTION Devolatilization is an important stage of wood combustion, due to the amount of volatiles contained in it (~ 75% by mass) and the amount of heat contained in them (~ 80% by mass). The rate of devolatilization determines the speed at which the volatiles release, depending on which the type of feeding to the bed (under feeding or over feeding) and INTERNATIONAL JOURNAL OF MECHANICAL ENGINEERING AND TECHNOLOGY (IJMET) ISSN 0976 – 6340 (Print) ISSN 0976 – 6359 (Online) Volume 4, Issue 3, May - June (2013), pp. 244-258 © IAEME: www.iaeme.com/ijmet.asp Journal Impact Factor (2013): 5.7731 (Calculated by GISI) www.jifactor.com IJMET © I A E M E
  • 2. International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 – 6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME 245 location of the feed points could be established. Therefore physical changes that take place in the wood particle during devolatilization need to be studied. Wood is known to shrink during devolatilization. It is also known to fragment under certain combustor conditions1-3 . Both these phenomena greatly reduce the size of the wood particle. The reduced size could have significant influence on the heat conducted and oxygen diffusion into the particle and on the rate of the subsequent chemical reactions. Significant size reduction could result in elutriation of un-burnt fuel, thereby causing direct carbon loss. The size reduction could also play a dominant role in the sizing of the down-stream particulate collection equipment. A number of published articles report experimental investigations of devolatilization time and final char yield of wood in different types of combustors and under different conditions4 . Shrinkage of millimeter sized wood under fluidized bed combustor conditions have been reported by 5 . But they have measured shrinkage at the end of devolatilization. All the devolatilization models assume that shrinkage depends linearly on the degree of conversion, which may not be true. Davidsson et al. 6 reported time dependant (Transient) shrinkage measurement of 5 mm cubes in a single particle reactor, where they noticed that the shrinkage is not linear. Such measurements have not been reported under fluidized bed combustion conditions. Fluidized beds have low carbon loading and high heat transfer coefficients when compared to single particle reactors. Also, in a fluidized bed, the atmosphere is oxidizing while that in the above mentioned single particle reactor is nitrogen. Therefore the present work aims at studying the Devolatilization Time (τd) and Shrinkage at different operating conditions. For a wider range of applicability, experiments are conducted at different wood particle sizes, bed temperatures, inert bed material sizes and fluidization velocities. 2. EXPERIMENTAL All the experiments were conducted in a laboratory-scale bubbling fluidized bed combustor. A schematic diagram of the experimental facility is shown in Figure 1. The combustor mainly consists of a stainless steel reactor, the diameter of which is 130 mm and the height is 600 mm. The reactor is provided with silicon carbide heaters close to its outer surface to maintain the bed temperature at a desired value. The inert bed material is supported by a distributor plate, and the static bed height is kept same as the reactor diameter. The pre- heated air necessary for fluidizing the bed is supplied by a blower before being heated to 200 °C by air pre-heaters. The air quickly assumes the bed temperature on entering it due to the good mixing and high heat transfer rates prevalent in the bed. This was in return verified by the temperatures measured at different heights of the bed. Tables 1 and 2 give the experimental details. The fuel wood, Casuarina Equisetifolia in this case, was de-barked and turned on a lathe to the required dimensions. The centre of the branch was coinciding with the axis of the cylinder. Prior to each experiment, every wood sample was weighed and its dimensions noted. Also, one sample from each batch of wood samples was dried in a moisture balance to determine the amount of moisture contained. This moisture content was attributed to all the samples in the batch and this sample was never used in the experiments. The moisture contained in the wood varied from 7 to 22 % during the experimental campaign. The proximate and ultimate analyses of Casuarina Equisetifolia are given in Table 3.
  • 3. International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 – 6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME 246 Fluidized bed Valve Mirror Stand Tbed3 Tbed2 Tbed1 Electrical Heater Coil Distributor Plate D P T Pressure Tapping SS Wire Mesh Net 'K' Type Thermocouple Orifice Plate Combustor Section SS Mirror Divergent Section Insulation Supporting Stand Flexible Joint Air Blower Air Pre-Heater Data Acquisition System Figure 1: Schematic diagram of the bubbling fluidized bed combustor setup Table 1: Experimental conditions Reactor material 316 grade stainless steel Reactor diameter 130 mm Reactor height 600 mm Static bed height 130 mm Bed temperature 750, 850, 950 °C Inert bed material Silica sand, 375, 550 µm Pre-heated air temperature 200 °C Fluidizing velocity u=5umf, 10umf Fuel shape Cylinder Fuel size (l/d) 10/10, 15/15, 20/20, 25/25, 30/30 mm Table 2: Fluidizing velocities Bed temperature (°C) dp=375 µm dp=550 µm 5umf (m/s) 10umf (m/s) 5umf (m/s) 10umf (m/s) 750 0.25 0.5 0.54 1.1 850 0.24 0.48 0.51 1 950 0.22 0.45 0.48 0.96
  • 4. International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 – 6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME 247 Table 3: Proximate and Ultimate analysis of Casuarina Equisetifolia Quantity Content (%) Proximate Analysis Moisture 10.8 Volatiles 72.5 Fixed carbon 16.4 Ash 0.3 Ultimate Analysis Carbon 42.5 Hydrogen 6.1 Nitrogen 0.16 Oxygen 51.24 The experimental procedure is described below. Once the combustor conditions have been established, a wood particle of known mass and size was introduced into the bed with the help of a stainless steel basket. The basket was made up of a stainless steel mesh (304 grade) having an opening approximately equal to twice the bed material size, in order to facilitate free flow of the material in and out of the basket and also to minimize the char loss to the bed. The basket diameter is 110 mm, which leaves enough clearance between itself and the thermocouples protruding from the sides of the reactor. The basket is 200 mm tall so that the fuel particle does not escape from the top due to bed expansion. The basket along with the wood particle is pushed into the bed until it touches the bottom. The fuel particle ignites on entering the bed and begins to move chaotically along with the sand inside the basket. Most of the time, volatiles’ flame was seen on top of the bed along with the fuel particle. The end of devolatilization was inferred by the extinguishing of the flame. The time elapsed between the introduction to the flame extinction (Flame extinction time, FET) was noted. The char particle(s) remaining at the end of devolatilization were taken out of the bed with the basket and immediately quenched using fine sand (375 µm) at room temperature. The time elapsed between removal and complete quenching was about 4 seconds. On cooling, the char particles were carefully separated from the sand and their dimensions measured. This procedure was repeated five times to establish an average devolatilization time. The average devolatilization time (τd) is then divided into four equal parts. A fresh wood particle was then subjected to devolatilization for a period of 1/4 τd and removed immediately, quenched, cooled, counted and measured for dimensions. This procedure was repeated three times for each quarter of τd. The entire experiment therefore needs 14 samples and takes about one hour for completion. After completion the char samples were preserved in labeled air-tight plastic pouches. 3. RESULTS AND DISCUSSION 3.1. Devolatilization time (ττττd) 3.1.1. Influence of size and bed temperature Devolatilization of large particles which are used in fluidized bed combustors is mainly heat transfer controlled. Also, the devolatilization is known to take place within a temperature window of 350 - 600 0 C. The speed at which the heat wave penetrates through
  • 5. International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 – 6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME 248 the particle determines the devolatilization time. Figure 2 shows the devolatilization times obtained at the three bed temperatures under study. It can be seen that devolatilization time is longer at lower bed temperatures and for larger wood particles. Figure 2: Devolatilization time of cylinders at different bed temperatures and inert bed material size of dp=375 µm, u=5umf 3.1.2. Influence of fluidization velocity The influence of the fluidization velocity at 850 and 950 °C on the devolatilization time is shown in Figure 3(a) and 3(b) respectively. There appears to be no definite influence of the fluidization velocity on the devolatilization time. This could be due to the fact that increased velocity increases the surface heat transfer rate but the conduction resistance within the particle is quite dominant, thereby nullifying the effects at the surface. The deviations in the devolatilization times could be attributed to the varying properties of the wood samples. Figure 3a: Devolatilization time at two different velocities. Tbed=850 °C, dp=375 µm 10 15 20 25 30 Initial Size (mm) 0 50 100 150 200 250 300 350 Devolatilizationtime(s) 750 C 850 C 950 C 10 15 20 25 30 Initial Size (mm) 0 50 100 150 200 250 300 350 Devolatilizationtime(s) u=5u_mf u=10u_mf
  • 6. International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 – 6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME 249 Figure 3b: Devolatilization time at two different velocities. Tbed=950 °C, dp=375 µm 3.1.3. Influence of inert bed material size Figures 4(a) and 4(b) show the influence of different bed material size on the devolatilization time at bed temperatures of 750 and 850 °C respectively. In this case too, no definite influence of bed material was seen except in Figure 4b, for the 30/30 mm particle, the 550 µm bed particle results in a lower devolatilization time than the 375 µm bed particle. More over, any difference was noticeable only for the larger wood particles. Figure 4a: Devolatilization time at different inert bed material sizes. Tbed=750 °C, u=5umf 10 15 20 25 30 Initial Size (mm) 0 50 100 150 200 250 300 350 Devolatilizationtime(s) u=5u_mf u=10u_mf 10 15 20 25 30 Initial Size (mm) 0 50 100 150 200 250 300 350 Devolatilizationtime(s) 375 micron 550 micron
  • 7. International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 – 6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME 250 Figure 4b: Devolatilization time at different inert bed material sizes. Tbed=850 °C, u=10umf All the data obtained for the devolatilization time at different bed temperatures, inert bed material sizes and velocities was used to obtain a correlation for the devolatilization time. The correlation is given in the form: b c d cyl bedad Tτ − = The present correlation predicts the present experimental devolatilization times with a maximum error of 16%, while Renu et al4 . correlation had a maximum deviation of 13%. But their experiments were conducted at a single velocity and for one size of bed material. The correlation obtained for the present work is given as: 16%248 78.0646.1 ±= − bedd Tdτ In the above correlation, the time is measured in seconds, diameter in mm and bed temperature in Kelvin. 3.2. Shrinkage Shrinkage is the reduction in the size of the wood particle during devolatilization and it can be defined by the ratio of instantaneous size reduction to the initial size. Mathematically it can be represented as: Shrinkage= Reduction in dimension 100 Initial dimension × Shrinkage can be measured in the longitudinal and radial directions for a cylindrical wood particle and the volumetric shrinkage can be computed from this measured data. 10 15 20 25 30 Initial Size (mm) 0 50 100 150 200 250 300 350 Devolatilizationtime(s) 375 microns 550 microns
  • 8. International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 – 6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME 251 3.2.1. Longitudinal shrinkage 3.2.1.1. Influence of size Figure 5 shows the longitudinal shrinkage of cylindrical wood particles at different sizes and temperatures. To obtain an overall view, the shrinkage values obtained at different bed particle sizes and velocities have been used in the plot. It can be seen that there is a decrease in the longitudinal shrinkage as the size increases. This could be due to decreasing amount of heat transferred in the longitudinal direction as the particle length increases. The shrinkage ranges from 7-25 %. There is no clear influence of the temperature visible on the longitudinal shrinkage, from this graph. Figure 5: Influence of size on the longitudinal shrinkage 3.2.1.2. Influence of bed temperature Figure 6 shows the longitudinal shrinkage in a 10/10 mm wooden cylinder devolatilized at different bed temperatures. It can be seen that the shrinkage increases with a rise in the bed temperature. This again can be explained by the increased rate of heat transferred due to a rise in the bed temperature. Therefore, for the particle sizes considered, the rate of heating and therefore the surrounding temperature appears to slightly influence the amount of lengthwise shrinkage. The correlation for Longitudinal Shrinkage (sl) is given as: 8%7.20295.0 ±+−= dsl 10 15 20 25 30 Initial Size(mm) Longitudinalshrinkage(%) 0 20 40 60 80 100 0 20 40 60 80 100 750C 850C 950C
  • 9. International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 – 6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME 252 Figure 6: Influence of bed temperature on the longitudinal shrinkage of a 10/10 mm cylinder 3.2.1.3. Variation with degree of conversion The degree of conversion is defined as: Degree of conversion= Instantaneous mass 1 100 Initial dry mass   − ×    Figure 7 shows the variation of the longitudinal shrinkage with the degree of conversion obtained at a bed temperature of 950 °C. To obtain an overall view, all the data points for various wood sizes, bed particle sizes and velocities are included. The graph shows that very little shrinkage takes place till a conversion of 50% was achieved. This implies that the wood constituents along the length begin to decompose only at the later stages of devolatilization. It can also be seen that the longitudinal shrinkage increases linearly until the degree of conversion attains a value of 75%. Beyond that, in the last stage of conversion, there is a steep rise in the longitudinal shrinkage. Figure 7: Variation of longitudinal shrinkage with the degree of conversion. Tbed=950 °C 650 750 850 950 1050 Bed Temperature (C) 0 20 40 60 80 100 Longitudinalshrinkage(%) 25 50 75 100 Degree of conversion (%) 0 20 40 60 80 100 Longitudinalshrinkage(%)
  • 10. International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 – 6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME 253 3.2.2. Radial shrinkage 3.2.2.1. Influence of size Figure 8 shows the variation of radial shrinkage with the size. To obtain an overall view, the shrinkage values obtained at different bed particle sizes and velocities have been used in the plot. For the size 30/30 mm, only few data points were available as most samples fragmented. The radial shrinkage ranges from 10% to 35%. It can be seen that there is a slight increase in the radial shrinkage with the size but the figure gives no clear indication of the influence of temperature. Figure 8: Influence of size on the radial shrinkage 3.2.2.2. Influence of bed temperature Figure 9 shows the influence of bed temperature on the radial shrinkage at the end of devolatilization. It can be seen that there is a strong reduction in the amount of shrinkage as the bed temperature rises. At higher bed temperatures, when the heat transfer rate is high, the reactions causing radial shrinkage do not have enough time to proceed. Since wood comprises of different constituents (cellulose, hemi-cellulose and lignin) which react at different temperatures, this is possible. The correlation for Radial Shrinkage (sr) is given as: 17%5.150 379.0224.0 ±= bedr Tds where the bed temperature is in absolute units. 10 15 20 25 30 Initial Size (mm) 0 20 40 60 80 100 Radialshrinkage(%) 750 C 850 C 950 C
  • 11. International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 – 6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME 254 Figure 9: Influence of bed temperature on the radial shrinkage of a 30/30 mm cylinder 3.2.2.3. Variation with degree of conversion Figure 10 shows the variation of radial shrinkage with the degree of conversion at a bed temperature of 750 °C. Radial shrinkage varies between 8 to 30%. Shrinkage begins quite early in the conversion process and then there is a steady linear rise in the shrinkage till the degree of conversion reaches 75% beyond which the shrinkage rises steeply. Figure 10: Variation of radial shrinkage with the degree of conversion. Tbed=750 °C 650 750 850 950 1050 Bed Temperature (C) 0 20 40 60 80 100 Radialshrinkage(%) 25 50 75 100 Degree of conversion (%) 0 20 40 60 80 100 Radialshrinkage(%)
  • 12. International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 – 6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME 255 3.2.3. Volumetric shrinkage 3.2.3.1. Influence of size Figure 11 shows the influence of size on the volumetric shrinkage. To obtain an overall view, the shrinkage values obtained at different bed particle sizes and velocities have been used in the plot. The volumetric shrinkage varies between 30 and 60 % and there was almost no influence of size on the amount of volumetric shrinkage. This could be due to decreasing longitudinal shrinkage and increasing radial shrinkage with increasing size. Figure 11: Influence of size on the volumetric shrinkage 3.2.3.2. Influence of bed temperature Figure 12 shows the influence of bed temperature on the volumetric shrinkage of a 20/20 mm cylinder. The volumetric shrinkage slightly decreases with a rise in temperature. The volumetric shrinkage is computed from the longitudinal and radial shrinkages. Since it depends on the square of radial shrinkage, it has the same behaviour of that of radial shrinkage. The correlation for Volumetric Shrinkage (sv) is given as: 10%35.23 0555.00917.0 ±= bedv Tds where the bed temperature is in absolute units. 10 15 20 25 30 Initial Size (mm) 0 20 40 60 80 100 Volumetricshrinkage(%) 750 C 850 C 950 C
  • 13. International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 – 6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME 256 Figure 12: Influence of bed temperature on volumetric shrinkage of a 20/20 mm cylinder 3.2.3.3. Variation with degree of conversion Figure 13 shows the variation of volumetric shrinkage with the degree of conversion at a bed temperature of 850 °C. It can be seen that up to a value of 75%, the rise is linear but steep while beyond 75%, it is non-linear and very steep. The steepness is due the influence of the radial shrinkage just mentioned. Figure 13: Variation of volumetric shrinkage with the degree of conversion. Tbed=850 °C 650 750 850 950 1050 Bed Temperature (C) 0 20 40 60 80 100 Volumetricshrinkage(%) 25 50 75 100 Degree of conversion (%) 0 20 40 60 80 100 Volumetricshrinkage(%)
  • 14. International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 – 6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME 257 Figure 14 shows the longitudinal, radial and volumetric shrinkages of wooden cylinders at a bed temperature of 850 °C. It can be seen that the dependence is different from linear. As most models of devolatilization assume a linear relationship between the shrinkages and degree of conversion, in case the models are sensitive to shrinkage, they will need modifications. Figure 14: Shrinkage as a function of the degree of conversion. T¬bed=850 °C Figure 15 shows the longitudinal, radial and volumetric shrinkages of all the sizes subjected to devolatilization at a bed temperature of 750 °C. Longitudinal shrinkage is steep during the second half of the devolatilization time while radial shrinkage and therefore volumetric shrinkage is fast during the initial stages and is less steep during the later stages. Figure 15: Progress of shrinkage during devolatilization. Tbed=750 °C 25 50 75 100 Degree of Conversion (%) 0 20 40 60 80 100 Shrinkage(%) Radial shrinkage Longitudinal shrinkage Volumetric shrinkage 0 0.25 0.5 0.75 1 Fraction of devolatilization time 0 20 40 60 80 100 Shrinkage(%) 10/10 mm cylinder 15/15 mm cylinder 20/20 mm cylinder 25/25 mm cylinder 30/30 mm cylinder Longitudinal Radial Volumetric
  • 15. International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 – 6340(Print), ISSN 0976 – 6359(Online) Volume 4, Issue 3, May - June (2013) © IAEME 258 4. CONCLUSIONS 1. Devolatilization time increases with the initial wood particle size while it decreases with bed temperature. 2. The longitudinal shrinkage is independent of the bed temperature while radial shrinkage is strongly dependent on it. 3. Shrinkage does not depend linearly on the degree of conversion. Longitudinal shrinkage occurs mostly after 50% of the conversion, while radial and volumetric shrinkages occur from the beginning of the conversion process. 4. Correlations for Devolatilization Time and final Shrinkage in longitudinal and radial directions have been proposed. ACKNOWLEDGEMENT The reported experimental work has been carried out in the Heat Transfer and Thermal Power Laboratory at the Indian Institute of Technology Madras (IIT Madras) by the funding provided by The Swedish International Development Agency (SIDA). The author is grateful for the same. REFERENCES [1] Chirone, R.; Greco, G.; Salatino, P.; Scala, F. (1997) The relevance of comminution phenomena in the fluidized bed combustion of a biomass (Robinia Psuedoacacia), Proceedings of the 14th International Conference on Fluidized Bed Combustion, ASME, 145- 150. [2] Scala, F.; Chirone, R. (2004) Fluidized bed combustion of alternative solid fuels, Experimental and Thermal Fluid Science, 28(7), 691-699. [3] Sreekanth, M.; Ajit Kumar Kolar, Leckner, B. (2006) Effect of Shape and Size of Wood on Primary Fragmentation in a Laboratory Scale Fluidized Bed Combustor, Paper No. 97, 19th International Conference on Fluidized Bed Combustion, Rutzky Druck, St. Poelten, Vienna, Austria. [4] Renu Kumar, R; Ajit Kumar Kolar, Leckner, B. (2004) Effect of fuel particle shape and size on devolatilization time of Casuarina wood. Science in Thermal and Chemical Biomass Conversion, Vancouver Island, Victoria BC, Canada, August-September. [5] Renu Kumar R, Ajit Kumar Kolar and Bo Leckner. (2006) Shrinkage characteristics of Casuarina wood during devolatilization in a fluidized bed combustor. Biomass & Bioenergy, 30(2),153-165. [6] Davidsson, K.O.; Pettersson, J.B.C. (2002) Birch wood particle shrinkage during rapid pyrolysis, Fuel, 81, 263-270. [7] Ayub A. Miraje and Dr. Sunil A. Patil, “Infinite Fatigue Life of Three Layer Shrink Fitted Compound Cylinder under Fluctuating Internal Pressure”, International Journal of Mechanical Engineering & Technology (IJMET), Volume 3, Issue 1, 2012, pp. 288 - 299, ISSN Print: 0976 – 6340, ISSN Online: 0976 – 6359.