Impact of combustion time of lignite in the model of kinetic combustion in the boiler of "Kosovo B".
Mulliqi, Ismet Sejdi ; Terziqi, Avni Kahriman ; Bajraktari, Bekim Veli 等
Abstract: The process of burning of lignite in Kosovo B develops
rapidly, which depends on a range of parameters of lignite and boiler.
Model for impact of the duration of the burning of lignite in the
kinetics of combustion process enables the definition and reflecting of
thermal loads and other important indicators in boiler. The methodology
of the paper is based on laboratory research of physical-chemical and
granule metric analysis of lignite powder and mathematical model. The
results can be used for calculations the quantities of fuel burned in
the path of ideal movement in steam boiler. The purpose of drafting of
this model is to create conditions for a kinetic regime more favorable
of combustion
Key words: lignite, chemical composition, granule metric analysis,
time
1. INTRODUCTION
The main parameters that affect in the burning time of lignite
particles [tau] are the particle diameter of lignite d, the excess air
[lambda], temperature in the combustion space T and components of
gaseous [V.sub.gs].
For impact analysis of these parameters at the time of burning
particles of lignite, rely on the results of measurements for
physic-chemical and granule-metric composition of lignite powder and
measuring of velocity and volumetric flow of gases.
The composition of lignite with components mC, mH, mO, mS, mN, mW,
and ma is given in figure 1.
Granule-metric composition of coal powder has great influence on
the flows of combustion process in the hearth of the boiler, the
combustion stability, the economy of combustion and in the heating of
surfaces of the boiler (Djuric & Bogner, 1980).
Results of granule-metric analysis of coal powder are reflected in
figure 2.
Results of measurements carried out in line 2 of block B2 after the
electro filters are given in table 1 and table 2.
Model of the submitted problem based on the results of the
measurements mentioned above and the known equations of different
authors.
2. BURNING TIME OF LIGNITE AND INFLUENTIAL FACTORS
Time of burning depending on the conversion of lignite can be
determined according to equation (Knore & Arefyev, 1966) as follows:
k[tau]/[beta][d.sub.0] = (1 - x) + 1/2 k[d.sub.0]/[N.sub.uD]D (1 -
[x.sup.2]) (1)
Where are: [beta]-mass transfer coefficient, k-constants of the
reaction velocity, [N.sub.uD] is the number of Nusselt, D the diffusion
coefficient, assigned according to the following equations (McCabe,
2005):
[beta] = [[rho].sub.ko]/0.226 (T/273) (2)
k = [k.sub.0] [e.sup.E/RT] (3)
[N.sub.uD] = [[alpha].sub.D]d/D (4)
D = [D.sub.0][(T/[T.sub.0]).sup.2] (5)
Meanwhile, the minimum amount of the required air for burning of 1
kg of fuels is determined by the following equation (Kreuh, 1978):
[v.sub.Lmin] = {1.864mC + 5.55[mH - (mO/8)] + 0.698mS}/0.21 (6)
The amount of combustion products from 1kg of fuel with excess air
coefficient [lambda] determined by equation:
[v.sub.g[lambda]] = 1.853mC + 0.7mS + 0.8mN + 0.79[v.sub.lmin] + +
1.24(9mH + mV) + ([lambda] -1)[v.sub.Lmin] (7)
The real density of fuel in kg/[m.sup.3] determined according to
equation:
[[rho].sub.k] = [??]1 - ([v.sub.gs]/100)[??] (8)
The equation for determining the time of combustion according to
Ledinegg (Guli6, 1960) is as follows.
[tau] = 65.7 x [d.sup.2][[rho].sub.k]/T[1 + 1.5([lambda] -
1)[v.sub.Lmin]/[v.sub.g[lambda]]] (9)
Where are:
[d.sub.0]--particles diameter of the fuel.
[[rho].sub.k0]--density of the fuel in the initial state of the
combustion process, kg/[m.sup.3].
[v.sub.gs]--gaseous components of the fuel, %.
x--momentary diameter of the particle d, referred to the initial
diameter [d.sub.0].
[k.sub.0]--universal constant, m/s.
[lambda]--coefficient of excess air.
E--activation energy.
R--gas constant.
T--temperature in the combustion space, K.
3. CALCULATIONS AND OUTCOMES
Model for the impact analysis of the coefficient of excess air in
the time of burning requires the input data as follows: T = 1273K;
[[rho].sub.ko] = 1200 kg/[m.sup.3]; [lambda] = 1.3; [v.sub.gs] = 24.5;
mC = 25.24%; mH = 1.99%; mO = 2.78%; mS = 0.14%; mN = 9.31%; mW =
43.65%; ma = 16.89%. In the model the excess air coefficient [lambda]
varies from 1.1 to value 1.5 ([lambda] = 1.10; [lambda] = 1.15; [lambda]
= 1.20; [lambda] = 1.25; [lambda] = 1.30; [lambda] = 1.35; [lambda] =
1.40; [lambda] = 1.45; [lambda] = 1.50).
The radius values of lignite particles in the calculations range
from d=0.05 up to d=0,0004m. Values of the temperature varying in the
range from T = 1173K up to T = 1573K.
Results obtained from the model are presented in Fig. 3, 4 and 5.
In figure 3 is given the functional dependence of the burning time of
lignite depending on the diameter of the particle according to equation
(1) and equation (9).
While in figure 4 is presented the functional dependence of the
burning time of lignite from the temperature in the hearth of combustion
for different diameters of lignite particles according to equation (9).
In figure 5 is given the time dependence of the burning from excess
air coefficient for the different diameters of the lignite particles
according to equation (9).
[FIGURE 3 OMITTED]
[FIGURE 4 OMITTED]
[FIGURE 5 OMITTED]
4. CONCLUSION
The burning time of the lignite particle [tau] with diameter
[d.sub.0] according to equation (1) increases with the increase the
diameter [d.sub.0] and factor [beta], while decreases with increasing
values of factors k, [N.sup.uD] and D which depend on temperature.
Results obtained according to equation (9) shows that the time
[tau] increases with the square exponent of the particles diameter of
lignite d and is shorter for the smaller diameters d, for the lowest
density of lignite particle [[rho].sub.k0], for the higher temperature
in burning space T, for the largest coefficient of excess air [lambda]
and most of the gaseous components [v.sub.gs].
Comparative results of curve according to equation (1) and (9)
presented in figure 4 shows a significant relative change of burning
time for the smaller diameters.
After determining the duration of the combustion process of coal
powder particles can determine the mass of fuel which takes part in
combustion process depending on the position of the particles, but also
the position of the end of combustion process of particles depending on
their diameter.
5. REFERENCES
Kreuh, L. (1978). Steam generators, School books, Zagreb
Djuric, V. & Bogner, M. (1980). Steam boilers, IRO Construction
book, Beograd
Gulic, G. (1960). Burning of solid liquid and gaseous fuels in
steam boilers, TPK, Zagreb
Knorre, G. (1966). Theory of combustor processes, by
Moscow-Leningrad
McCabe, W. (2005). Unit Operations of Chemicals Engineering, 7th
ed., ISBN 0-07-284823-5, McGraw-Hill, New York
Tab. 1. Dyn. pressure measured in the block B2-line 1 in hPa
Measuring 1 2 3 4 5 6
points
2.0 2.0 2.5 3.4 * 2.3 2.8
1.0 3.0 2.1 3.0 * 1.9 2.0
Tab. 2. Physical parameters measured in block B2-line 1
Parameter Method nit Value
The surface of the ISO10780:1994 [m.sup.2] 4.42
canal
Dynamic pressure ISO10780:1994 hPa 0.4
Average velocity ISO10780:1994 m/s 20.5
of the gas
Gas flow ISO10780:1994 [m.sup.3]/h 1802196
Fig. 1. Composition of lignite
mC = 25.24%
mH = 1.99%
mO = 2.78%
mS = 0.14%
mN = 9.31%
mW = 43.65%
ma = 16.89%
Note: Table made from pie chart.
Fig. 2 Granule-metric analysis of lignite
R100 = 1.7%
R < 50 = 16.9%
R50 = 8.7%
R63 = 12%
R50 = 98%
R80 = 13.3%
R80 = 20.2%
R200 = 12.2%
R500 = 3.8%
Note: Table made from pie chart.