Burning Rate Response of Solid Fuels in Laminar Boundary Layer
Solid fuel transient burning behavior under oxidizer
gas flow is numerically investigated. It is done using analysis of the
regression rate responses to the imposed sudden and oscillatory
variation at inflow properties. The conjugate problem is considered
by simultaneous solution of flow and solid phase governing
equations to compute the fuel regression rate. The advection
upstream splitting method is used as flow computational scheme in
finite volume method. The ignition phase is completely simulated to
obtain the exact initial condition for response analysis. The results
show that the transient burning effects which lead to the combustion
instabilities and intermittent extinctions could be observed in solid
fuels as the solid propellants.
[1] Moore, J., Kuo, K., and Ferrara, P., "Flame-Spreading Behavior in a Fin-
Slot Solid Propellant Rocket Motor Grain," Journal of Propulsion and
Power, Vol. 25, No. 3, 2009, pp. 808-814.
[2] Tahsini, A. M., "Non-Steady Burning Effect on Solid Rocket Motor
Performance," 45th AIAA Aerospace Sciences Meeting and Exhibit,
Reno, Nevada, January 2007, AIAA-2007-777.
[3] Chang, L. M., Howard, S. L., and Kooker, D. E., "Convective Ignition of
a Granular Solid Propellant Bed: Influence of Propellant Composition,"
Symposium (Int-l) on Combustion, Vol. 26, No. 2, 1996, pp. 2033-2040.
[4] Cho, I. H., and Baek, S. W., "Numerical Simulation of Axisymmetric
Solid Rocket Motor Ignition Transient with Radiation Effect," Journal
of Propulsion and Power, Vol. 16, No. 4, 2000, pp. 725-728.
[5] Johnston, W. A., "Solid Rocket Motor Internal Flow during Ignition,"
Journal of Propulsion and Power, Vol. 11, No. 3, 1995, pp. 489-496.
[6] Wu, W. J., and Kung, L. C., "Determination of Triggering Condition of
Vortex-Driven Acoustic Combustion Instability in Rocket Motors,"
Journal of Propulsion and Power, Vol. 16, No. 6, 2000, pp. 1022-1029.
[7] Greatrix, D., "Inert Particles for Axial-Combustion-Instability
Suppression in a Solid Rocket Motor," Journal of Propulsion and
Power, Vol. 24, No. 6, 2008, pp. 1347-1354.
[8] Leibovitz, Z., and Gany, A., "Investigation of Solid Propellant
Combustion Instability by Means of a T-Burner," Acta Astronautica,
Vol. 11, No. 9, 1984, pp. 603-606.
[9] Koshigoe, S., Komatsuzaki, T., and Yang, V., "Adaptive Control of
Combustion Instability with On-Line System Identification," Journal of
Propulsion and Power, Vol. 15, No. 3, 1999, pp. 383-389.
[10] Jung, H. G., Lee, C., and Lee, J. W., "Role of Radiation on Dynamic
Extinction by Depressurization in Metalized Solid Propellants," Journal
of Propulsion and Power, Vol. 20, No. 3, 2004, pp. 432-439.
[11] Baliga, B. R., and Tien, J. S., "Unsteady Effects on Low-Pressure
Extinction Limit of Solid Propellants," AIAA Journal, Vol. 13, No. 12,
1975, pp. 1653-1656.
[12] Battista, R. A., Caveny, L. H., Gostintsev, I. A., Isoda, H., Kubota, N.,
and Summerfield, M., "Theory of Dynamic Extinguishment of Solid
Propellants with Special Reference to Nonsteady Heat Feedback Law,"
Journal of Spacecraft and Rockets, Vol. 8, No. 3, 1971, pp. 251-258.
[13] Selzer, H., " Depressurization Extinguishment of Composite Solid
Propellants: Influence of Composition and Catalysts," AIAA Journal,
Vol. 11, No. 9, 1973, pp. 1221-1222.
[14] Tang, K. C., and Brewster, M. Q., "Nonlinear Dynamic Combustion in
Solid Rockets: L* Effects," Journal of Propulsion and Power, Vol. 17,
No. 4, 2001, pp. 909-918.
[15] Schoyer, H. F. R., "Results of Experimental Investigations of the L*
Phenomenon," Journal of Spacecraft and Rockets, Vol. 17, No. 3, 1980,
pp. 200-207.
[16] Schoyer, H. F. R., "L* Oscillations and a Pressure Frequency
Correlation for Solid Rocket Propellants," AIAA Journal, Vol. 15, No. 9,
1977, pp. 1347-1348.
[17] Liou, T. M., Lien, W. Y., and Hwang, P. W., "Large Eddy Simulations
of Turbulent Reacting Flows in a Chamber with Gaseous Ethylene
Injecting Through the Porous Wall," Combustion and Flame, Vol. 99,
1994, pp. 591-600.
[18] Coelho, P. J., Duic, N., Lemos, C., and Carvalho, M. G., "Modeling of a
Solid Fuel Combustion Chamber of a Ramjet Using a Multi-block
Domain Decomposition Technique," Aerospace Science and
Technology, Vol. 2, 1998, pp. 107-119.
[19] Stevenson, C. A., and Netzer, D. W., "Primitive Variable Model
Applications to Solid Fuel Ramjet Combustion," Journal of Spacecraft
and Rocket, Vol. 18, No. 1, 1981, pp. 89-94.
[20] Metochianakis, M. E., and Netzer, D. W., "Modeling Solid Fuel Ramjet
Combustion, Including Radiation to the Fuel Surface," Journal of
Spacecraft and Rocket, Vol. 20, No. 4, 1983, pp. 405-406.
[21] Krishnan, S., and George, P., "Solid Fuel Ramjet Combustor Design,"
Progress in Aerospace Science, Vol. 34, 1998, pp. 219-256.
[22] Tahsini, A. M., "Piloted Ignition of Solid Fuels in Turbulent Back-Step
Flows," Aerospace Science and Technology, Vol. 18, N. 1, 2012, PP. 8-
14.
[23] McAllister, S., Fernandez-Pello, C., Urban, D., and Ruff, G., "Piloted
Ignition Delay of PMMA in Space Exploration Atmospheres,"
Proceedings of the Combustion Institute, Vol. 32, 2009, pp. 2453-2459.
[24] Rich, D., Lautenberger, C., Torero, J. L., Quintiere, J. G., and
Fernandez-Pello, C., "Mass Flux of a Combustible Solids at Piloted
Ignition," Proceedings of the Combustion Institute, Vol. 31, 2007, pp.
2653-2660.
[25] Kashiwagi, T., and Summerfield, M., "Ignition and Flame Spreading
Over a Solid Fuel: Non-Similar Theory for a Hot Oxidizing Boundary
Layer," Proceedings of the Combustion Institute, Vol. 14, 1972, pp.
1235-1247.
[26] Blasi, C. D., Crescitelli, S., Russo, G., and Cinque, G., "Numerical
Model of Ignition Processes of Polymeric Materials Including Gas-Phase
Absorption of Radiation," Combustion and Flame, Vol. 83, 1991, pp.
333-344.
[27] Tsai, T. H., Li, M. J., Shih, I. Y., Jih, R., and Wong, S. C., "Experimental
and Numerical Study of Auto-ignition and Pilot Ignition of PMMA
Plates in a Cone Calorimeter," Combustion and Flame, Vol. 124, 2001,
pp. 466-480.
[28] Zhou, Y. Y., Walther, D. C., and Fernandez-Pello, A. C., "Numerical
Analysis of Piloted Ignition of Polymeric Materials," Combustion and
Flame, Vol. 131, 2002, pp. 147-158.
[29] Nakamura, Y., Kashiwagi, T., Olson, S. L., Nishizawa, K., Fujita, O.,
and Ito, K., "Two-Sided Ignition of a Thin PMMA Sheet in
Microgravity," Proceedings of the Combustion Institute, Vol. 30, 2005,
pp. 2319-2325.
[30] Pizzo, Y., Consalvi, J. L., and Porterie, B., "A Transient Pyrolysis Model
Based on the B-Number for Gravity-Assisted Flame Spread over Thick
PMMA Slabs," Combustion and Flame, Vol. 156, 2009, pp. 1856-1859.
[31] Ndubizu, C. C., Ananth, R., and Tatem, P. A., "Transient Burning Rate
of a Noncharring Plate under a Forced Flow Boundary Layer Flame,"
Combustion and Flame, Vol. 141, 2005, pp. 131-148.
[32] Armstrong, J. B., Olson, S. L., and Tien, J. S., "Transient Model and
Experimental Validation of Low-Stretch Solid-Fuel Flame Extinction
and Stabilization in Response to a Step Change in Gravity," Combustion
and Flame, Vol. 147, 2006, pp. 262-277.
[33] Goldmeer, J. S., Tien, J. S., and Urban, D. L., "Combustion and
Extinction of PMMA Cylinders during Depressurization in Low-
Gravity," Fire Safety Journal, Vol. 32, 1999, pp. 61-88.
[34] Barron, J. T., Van Moorhem, W. K., and Majdalani, J., "A Novel
Investigation of the Oscillatory Field over a Transpiring Surface,"
Journal of Sound and Vibration, Vol. 235, No. 2, 2000, pp. 281-297.
[35] Kuo, K. K., Principles of Combustion, Chapter 3, 2nd edition, Wiley and
Sons, 2005.
[36] Hirsch, C., Numerical Computation of Internal and External Flows,
Chapter 4, Wiley and Sons, 1988.
[37] Liou, M. S., "A Sequel to AUSM: AUSM+," Journal of Computational
Physics, Vol. 129, 1996, pp. 364-382.
[38] Tahsini, A. M., and Farshchi, M., "Numerical Study of Solid Fuel
Evaporation and Auto-Ignition in a Dump Combustor," Acta
Astronautica, Vol. 67, 2010, pp. 774-783.
[39] Tahsini, A. M., and Farshchi, M., "Igniter Jet Dynamics in Solid Fuel
Ramjets," Acta Astronautica, Vol. 64, 2009, pp. 166-175.
[1] Moore, J., Kuo, K., and Ferrara, P., "Flame-Spreading Behavior in a Fin-
Slot Solid Propellant Rocket Motor Grain," Journal of Propulsion and
Power, Vol. 25, No. 3, 2009, pp. 808-814.
[2] Tahsini, A. M., "Non-Steady Burning Effect on Solid Rocket Motor
Performance," 45th AIAA Aerospace Sciences Meeting and Exhibit,
Reno, Nevada, January 2007, AIAA-2007-777.
[3] Chang, L. M., Howard, S. L., and Kooker, D. E., "Convective Ignition of
a Granular Solid Propellant Bed: Influence of Propellant Composition,"
Symposium (Int-l) on Combustion, Vol. 26, No. 2, 1996, pp. 2033-2040.
[4] Cho, I. H., and Baek, S. W., "Numerical Simulation of Axisymmetric
Solid Rocket Motor Ignition Transient with Radiation Effect," Journal
of Propulsion and Power, Vol. 16, No. 4, 2000, pp. 725-728.
[5] Johnston, W. A., "Solid Rocket Motor Internal Flow during Ignition,"
Journal of Propulsion and Power, Vol. 11, No. 3, 1995, pp. 489-496.
[6] Wu, W. J., and Kung, L. C., "Determination of Triggering Condition of
Vortex-Driven Acoustic Combustion Instability in Rocket Motors,"
Journal of Propulsion and Power, Vol. 16, No. 6, 2000, pp. 1022-1029.
[7] Greatrix, D., "Inert Particles for Axial-Combustion-Instability
Suppression in a Solid Rocket Motor," Journal of Propulsion and
Power, Vol. 24, No. 6, 2008, pp. 1347-1354.
[8] Leibovitz, Z., and Gany, A., "Investigation of Solid Propellant
Combustion Instability by Means of a T-Burner," Acta Astronautica,
Vol. 11, No. 9, 1984, pp. 603-606.
[9] Koshigoe, S., Komatsuzaki, T., and Yang, V., "Adaptive Control of
Combustion Instability with On-Line System Identification," Journal of
Propulsion and Power, Vol. 15, No. 3, 1999, pp. 383-389.
[10] Jung, H. G., Lee, C., and Lee, J. W., "Role of Radiation on Dynamic
Extinction by Depressurization in Metalized Solid Propellants," Journal
of Propulsion and Power, Vol. 20, No. 3, 2004, pp. 432-439.
[11] Baliga, B. R., and Tien, J. S., "Unsteady Effects on Low-Pressure
Extinction Limit of Solid Propellants," AIAA Journal, Vol. 13, No. 12,
1975, pp. 1653-1656.
[12] Battista, R. A., Caveny, L. H., Gostintsev, I. A., Isoda, H., Kubota, N.,
and Summerfield, M., "Theory of Dynamic Extinguishment of Solid
Propellants with Special Reference to Nonsteady Heat Feedback Law,"
Journal of Spacecraft and Rockets, Vol. 8, No. 3, 1971, pp. 251-258.
[13] Selzer, H., " Depressurization Extinguishment of Composite Solid
Propellants: Influence of Composition and Catalysts," AIAA Journal,
Vol. 11, No. 9, 1973, pp. 1221-1222.
[14] Tang, K. C., and Brewster, M. Q., "Nonlinear Dynamic Combustion in
Solid Rockets: L* Effects," Journal of Propulsion and Power, Vol. 17,
No. 4, 2001, pp. 909-918.
[15] Schoyer, H. F. R., "Results of Experimental Investigations of the L*
Phenomenon," Journal of Spacecraft and Rockets, Vol. 17, No. 3, 1980,
pp. 200-207.
[16] Schoyer, H. F. R., "L* Oscillations and a Pressure Frequency
Correlation for Solid Rocket Propellants," AIAA Journal, Vol. 15, No. 9,
1977, pp. 1347-1348.
[17] Liou, T. M., Lien, W. Y., and Hwang, P. W., "Large Eddy Simulations
of Turbulent Reacting Flows in a Chamber with Gaseous Ethylene
Injecting Through the Porous Wall," Combustion and Flame, Vol. 99,
1994, pp. 591-600.
[18] Coelho, P. J., Duic, N., Lemos, C., and Carvalho, M. G., "Modeling of a
Solid Fuel Combustion Chamber of a Ramjet Using a Multi-block
Domain Decomposition Technique," Aerospace Science and
Technology, Vol. 2, 1998, pp. 107-119.
[19] Stevenson, C. A., and Netzer, D. W., "Primitive Variable Model
Applications to Solid Fuel Ramjet Combustion," Journal of Spacecraft
and Rocket, Vol. 18, No. 1, 1981, pp. 89-94.
[20] Metochianakis, M. E., and Netzer, D. W., "Modeling Solid Fuel Ramjet
Combustion, Including Radiation to the Fuel Surface," Journal of
Spacecraft and Rocket, Vol. 20, No. 4, 1983, pp. 405-406.
[21] Krishnan, S., and George, P., "Solid Fuel Ramjet Combustor Design,"
Progress in Aerospace Science, Vol. 34, 1998, pp. 219-256.
[22] Tahsini, A. M., "Piloted Ignition of Solid Fuels in Turbulent Back-Step
Flows," Aerospace Science and Technology, Vol. 18, N. 1, 2012, PP. 8-
14.
[23] McAllister, S., Fernandez-Pello, C., Urban, D., and Ruff, G., "Piloted
Ignition Delay of PMMA in Space Exploration Atmospheres,"
Proceedings of the Combustion Institute, Vol. 32, 2009, pp. 2453-2459.
[24] Rich, D., Lautenberger, C., Torero, J. L., Quintiere, J. G., and
Fernandez-Pello, C., "Mass Flux of a Combustible Solids at Piloted
Ignition," Proceedings of the Combustion Institute, Vol. 31, 2007, pp.
2653-2660.
[25] Kashiwagi, T., and Summerfield, M., "Ignition and Flame Spreading
Over a Solid Fuel: Non-Similar Theory for a Hot Oxidizing Boundary
Layer," Proceedings of the Combustion Institute, Vol. 14, 1972, pp.
1235-1247.
[26] Blasi, C. D., Crescitelli, S., Russo, G., and Cinque, G., "Numerical
Model of Ignition Processes of Polymeric Materials Including Gas-Phase
Absorption of Radiation," Combustion and Flame, Vol. 83, 1991, pp.
333-344.
[27] Tsai, T. H., Li, M. J., Shih, I. Y., Jih, R., and Wong, S. C., "Experimental
and Numerical Study of Auto-ignition and Pilot Ignition of PMMA
Plates in a Cone Calorimeter," Combustion and Flame, Vol. 124, 2001,
pp. 466-480.
[28] Zhou, Y. Y., Walther, D. C., and Fernandez-Pello, A. C., "Numerical
Analysis of Piloted Ignition of Polymeric Materials," Combustion and
Flame, Vol. 131, 2002, pp. 147-158.
[29] Nakamura, Y., Kashiwagi, T., Olson, S. L., Nishizawa, K., Fujita, O.,
and Ito, K., "Two-Sided Ignition of a Thin PMMA Sheet in
Microgravity," Proceedings of the Combustion Institute, Vol. 30, 2005,
pp. 2319-2325.
[30] Pizzo, Y., Consalvi, J. L., and Porterie, B., "A Transient Pyrolysis Model
Based on the B-Number for Gravity-Assisted Flame Spread over Thick
PMMA Slabs," Combustion and Flame, Vol. 156, 2009, pp. 1856-1859.
[31] Ndubizu, C. C., Ananth, R., and Tatem, P. A., "Transient Burning Rate
of a Noncharring Plate under a Forced Flow Boundary Layer Flame,"
Combustion and Flame, Vol. 141, 2005, pp. 131-148.
[32] Armstrong, J. B., Olson, S. L., and Tien, J. S., "Transient Model and
Experimental Validation of Low-Stretch Solid-Fuel Flame Extinction
and Stabilization in Response to a Step Change in Gravity," Combustion
and Flame, Vol. 147, 2006, pp. 262-277.
[33] Goldmeer, J. S., Tien, J. S., and Urban, D. L., "Combustion and
Extinction of PMMA Cylinders during Depressurization in Low-
Gravity," Fire Safety Journal, Vol. 32, 1999, pp. 61-88.
[34] Barron, J. T., Van Moorhem, W. K., and Majdalani, J., "A Novel
Investigation of the Oscillatory Field over a Transpiring Surface,"
Journal of Sound and Vibration, Vol. 235, No. 2, 2000, pp. 281-297.
[35] Kuo, K. K., Principles of Combustion, Chapter 3, 2nd edition, Wiley and
Sons, 2005.
[36] Hirsch, C., Numerical Computation of Internal and External Flows,
Chapter 4, Wiley and Sons, 1988.
[37] Liou, M. S., "A Sequel to AUSM: AUSM+," Journal of Computational
Physics, Vol. 129, 1996, pp. 364-382.
[38] Tahsini, A. M., and Farshchi, M., "Numerical Study of Solid Fuel
Evaporation and Auto-Ignition in a Dump Combustor," Acta
Astronautica, Vol. 67, 2010, pp. 774-783.
[39] Tahsini, A. M., and Farshchi, M., "Igniter Jet Dynamics in Solid Fuel
Ramjets," Acta Astronautica, Vol. 64, 2009, pp. 166-175.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:56132", author = "A. M. Tahsini", title = "Burning Rate Response of Solid Fuels in Laminar Boundary Layer", abstract = "Solid fuel transient burning behavior under oxidizer
gas flow is numerically investigated. It is done using analysis of the
regression rate responses to the imposed sudden and oscillatory
variation at inflow properties. The conjugate problem is considered
by simultaneous solution of flow and solid phase governing
equations to compute the fuel regression rate. The advection
upstream splitting method is used as flow computational scheme in
finite volume method. The ignition phase is completely simulated to
obtain the exact initial condition for response analysis. The results
show that the transient burning effects which lead to the combustion
instabilities and intermittent extinctions could be observed in solid
fuels as the solid propellants.", keywords = "Extinction, Oscillation, Regression rate, Response,
Transient burning.", volume = "6", number = "12", pages = "2722-5", }
