The combustion and extinction behavior of a diffusion flame around a solid fuel cylinder (PMMA) in low-speed forced flow in zero gravity was studied numerically using a quasi-steady gas phase model. This model includes two-dimensional continuity, full Navier Stokes’ momentum, energy, and species equations with a one-step overall chemical reaction and second-order finite-rate Arrhenius kinetics. Surface radiation and Arrhenius pyrolysis kinetics are included on the solid fuel surface description and a parameter Φ, representing the percentage of gas-phase conductive heat flux going into the solid, is introduced into the interfacial energy balance boundary condition to complete the description for the quasi-steady gas-phase system. The model was solved numerically using a body-fitted coordinate transformation and the SIMPLE algorithm. The effects of varying freestream velocity and Φ were studied. These parameters have a significant effect on the flame structure and extinction limits. Two flame modes were identified: envelope flame and wake flame. Two kinds of flammability limits were found: quenching at low-flow speeds due to radiative loss and blow-off at high flow speeds due to insufficient gas residence time. A flammability map was constructed showing the existence of maximum Φ above which the solid is not flammable at any freestream velocity.

1.
Bhattacharjee, S., and Altenkirch, R. A., 1990, “Radiation-Controlled, Opposed-Flow Flame Spread in a Microgravity Environment,” Twenty-Third Symposium (International) on Combustion, The Combustion Institute, pp. 1627–1633.
2.
Chen
C. H.
, and
Cheng
M. C.
,
1994
, “
Gas-Phase Radiative Effects in Downward Flame Spread in Low Gravity
,”
Combustion Science and Technology
, Vol.
97
, pp.
63
83
.
3.
Chen
C. H.
, and
Weng
F. B.
,
1990
a, “
Flame Stabilization and Blowoff Over a Porous Cylinder
,”
Combustion Science and Technology
, Vol.
73
, pp.
427
446
.
4.
Chen
C. H.
, and
Weng
F. B.
,
1990
b, “
Heat Transfer for Incompressible and Compressible Fluid Flows over a Heated Cylinder
,”
Numerical Heat Transfer
, Part A, Vol.
18
, pp.
325
342
.
5.
Dwyer, H. A., and Sanders, B. R., 1986, “A Detailed Study of Burning Fuel Droplets,” Twenty-First Symposium (International) on Combustion, The Combustion Institute, pp. 633–639.
6.
Ferkul
P. V.
, and
T’ien
J. S.
,
1994
, “
A Model of Low-Speed Concurrent Flow Flame Spread Over a Thin Solid
,”
Combustion Science and Technology
, Vol.
99
, pp.
345
370
.
7.
Fernandez-Pello, A. C., 1995, “The Solid Phase,” Combustion Fundamentals of Fire, G. Cox, ed., Academic Press, San Diego, CA, Chapter 2.
8.
Foutch
D. W.
, and
T’ien
J. S.
, “
Extinction of a Stagnation-Point Diffusion Flame at Reduced Gravity
,”
AIAA J.
, Vol.
25
, No.
7
, pp.
972
976
.
9.
Goldmeer, J. S., 1996, “Extinguishment of a Diffusion Flame over a PMMA Cylinder by Depressurization in Reduced Gravity,” Ph.D. thesis, Department of Mechanical and Aerospace Engineering, Case Western Reserve University, Cleveland, OH.
10.
Grayson, G., Sacksteder, K., Ferkul, P. V., and T’ien, J. S., 1994, “Flame Spreading Over a Thin Fuel in Low Speed Concurrent Flow: Droptower Experimental Results and Comparison with Theory,” Microgravity Science and Technology, pp. 187–196.
11.
Jiang, C.-B., 1995, “A Model of Flame Spread over a Thin Solid in Concurrent Flow with Flame Radiation,” Ph.D. thesis, Department of Mechanical and Aerospace Engineering, Case Western Reserve University, Cleveland, OH.
12.
Olson, S. L., Ferkul, P. V., and T’ien, J. S., 1988, “Near-Limit Flame Spread Over a Thin Solid Fuel in Microgravity,” Twenty-Second Symposium (International) on Combustion, The Combustion Institute, pp. 1213–1222.
13.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York.
14.
Rees, G. W., 1981, “Gasification and Burning of a Fuel Particle,” M. S. Project Report, Mechanical Engineering Department, University of California, Berkeley, Berkeley, CA.
15.
Rhatigan
J. L.
,
Bedir
H.
, and
T’ien
J. S.
,
1998
, “
Gas-Phase Radiative Effects on the Burning and Extinction of a Solid Fuel
,”
Combustion and Flame
, Vol.
112
, pp.
241
241
.
16.
Thomas
P. D.
, and
Middecoff
J. F.
,
1980
, “
Direct Control of the Grid Point Distribution in Meshes Generated by Elliptic Equations
,”
AIAA J.
, Vol.
18
, No.
6
, pp.
652
656
.
17.
T’ien
J. S.
,
1986
, “
Diffusion Flame Extinction at Small Stretch Rates: The Mechanism of Radiation Loss
,”
Combustion and Flame
, Vol.
65
, pp.
31
34
.
18.
T’ien
J. S.
,
Singhal
S. N.
,
Harrold
D. P.
, and
Prahl
J. M.
,
1978
, “
Combustion and Extinction in the Stagnation Point Boundary Layer of a Condensed Fuel
,”
Combustion and Flame
, Vol.
33
, pp.
55
68
.
19.
Tsuji, H., and Yamaoka, I., 1967, “The Counterflow Diffusion Flame in the Forward Stagnation Region of a Porous Cylinder,” Eleventh Symposium (International) on Combustion, The Combustion Institute, p. 979.
20.
Yang, C.-T., 1994, “Numerical Simulation of the Combustion of a Solid Cylinder in Low-Speed Flows,” M. S. thesis, Department of Mechanical and Aerospace Engineering, Case Western Reserve University, Cleveland, OH.
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