THE EFFECT OF SURFACE REGRESSION ON THE DOWNWARD FLAME SPREAD OVER A SOLID FUEL IN A QUIESCENT AMBIENT
Abstract
The present work is addressed to the numerical study of the transient laminar opposed-flow flame spread over a solid fuel in a quiescent ambient. The transient governing equations - full Navier-Stokes, energy, and species (oxygen and volatiles) for the gas phase, and continuity and energy equations for the solid phase (fuel) with primitive variables are discretized in a staggered grid by a control volume approach. The second-order Arrhenius kinetics law is used to determine the rate of consumption of volatiles due to combustion, and the zero-order Arrhenius kinetics law is used to determine the rate of degradation of solid fuel. The equations for the fluid and solid phases are solved simultaneously using a segregated technique. The physical and thermo-physical properties of the fluid (air) such as density, thermal conductivity, and viscosity vary with temperature. The surface regression of the solid fuel is modeled numerically using a discrete formulation, and the effect upon the results is analyzed. The surface regression of the solid fuel as shown affects on the fuel surface and gas temperature, mass flux and velocity of volatiles on the top surface of fuel, total energy transferred to the solid phase, etc. It seems the results to be realistic
Dates
- Submission Date2006-02-20
- Revision Date2006-03-30
- Acceptance Date2006-05-01
References
- Di Blasi, C., Modeling and Simulation of Combustion Processes of Charring and Non-Charring Solid Fuels, Progress Energy Combustion Science, 19 (1993), 1, pp. 71-104
- Wichman, I. S., Theory of Opposed-Flow Flame Spread, Progress Energy Combustion Science, 18 (1992), 6, pp. 553-593
- Fernandez-Pello, A. C., Williams, F. A., Laminar Flame Spread over PMMA Surfaces, Proceedings, 15th Symposium (Int.) on Combustion, 1974, The Combustion Institute, Pittsburgh, Pa., USA, 1975, pp. 217-231
- Mao, C. P., Kodama, H., Fernandez-Pello, A. C., Convective Structure of a Diffusion Flame over a Flat Combustible Surface, Combustion and Flame, 57 (1984), 2, pp. 209-236
- Bhattacharjee, S., Altenkirch, R. A., Srikantaiah, N., Vedha-Nayagam, M., A Theoretical Description of Flame Spreading over Solid Combustible in a Quiescent Environment at Zero Gravity, Combustion Science and Technology, 69 (1990), 1, pp. 1-15
- Bhattacharjee, S., Altenkirch, R. A., Radiation-Controlled, Opposed-Flow Flame Spread in a Microgravity Environment, Proceedings, 23th Symposium (Int.) on Combustion, 1990, The Combustion Institute, Pittsburgh, Pa., USA, 1991, pp. 1627-1633
- Di Blasi, C., Crescitelli, S., Russo, G., Cinque, G., Numerical Model of Ignition Processes of Polymeric Materials Including Gas-Phase Absorption of Radiation, Combustion and Flame, 83 (1991), 3, pp. 333-344
- Bhattacharjee, S., Altenkirch, R. A., A Comparison of Theoretical and Experimental Results in Flame Spread over Thin Condensed Fuels in a Quiescent, Microgravity Environment, Proceedings, 24th Symposium (Int.) on Combustion, 1992, The Combustion Institute, Pittsburgh, Pa., USA, 1993, pp. 1669-1676
- Ramanchandra, P. A., Altenkirch, R. A., Bhattacharjee, S., Tang, L., Sacksteder, K., Wolverton, M. K., The Behavior of Flame Spreading over Thin Solids in Microgravity, Combustion and Flame, 100 (1995), 1, pp. 71-84
- Bhattacharjee, S., Altenkirch, R. A., Sacksteder, K., The Effect of Ambient Pressure on Flame Spread over Thin Cellulosic Fuel in a Quiescent, Microgravity Environment, J. of Heat Transfer, 118 (1996), 1, pp. 181-190
- Jiang, C. B., Tien, J. S., Shih, H., Model Calculation of Steady upward Flame Spread over a Thin Solid in Reduced Gravity, Proceedings, 26th Symposium (Int.) on Combustion, 1996, The Combustion Institute, Pittsburgh, Pa., USA, 1997, pp. 1353-1360
- Altenkirch, R. A., Tang, L., Sacksteder, K., Bhattacharjee, S., Delichatsios, M. A., Inherently Unsteady Flame Spread to Extinction over Thick Fuels in Microgravity, Proceedings, 27th Symposium (Int.) on Combustion, 1998, The Combustion Institute, Pittsburgh, Pa., USA, 1999, pp. 2515-2524
- Esfahani, J. A., Sousa, A. C. M., Ignition of Epoxy by a High Radiation Source: A Numerical Study, Int. J. Thermal Science, 38 (1999), 4, pp. 315-323
- Sousa, A. C. M., Esfahani, J. A., Numerical Modeling of PMMA Ignition Induced by Monochromatic Radiation, Proceedings, 17th UIT National Heat Transfer Conference, Ferrara, Italy, 1999, pp. 409-420
- Esfahani, J. A., Oxygen-Sensitive Thermal Degradation of PMMA: A Numerical Study, Combustion Science and Technology, 174 (2002), 10, pp. 183-198
- Esfahani, J. A., Ayani, M. B., Bakht Shirin, M., A Transient Two-Dimentional Model of Thermal and Oxidative Degradation of PMMA, Iranian J. of Science and Technology, Transaction B, Engineering, 29 (2005), B2, pp. 207-218
- Esfahani, J. A., Kashani, A., A Numerical Model for Degradation and Combustion of Polymethy lmethacrylate (PMMA), Heat and Mass Transfer, 42 (2006), 6, pp. 569-576
- Glassman, I., Combustion, 3rd ed., Academic Press, Oxford, UK
- Anderson, J. D., Jr., Fundamentals of Aerodynamics, 2nd ed., Mac Graw-Hill, New York, USA, 1991
- Patankar, S.V., Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York, USA, 1980
- Van Doormaal, J. P., Raithby, G. D., Enhancements of the SIMPLE Method for Predicting Incompressible Fluid Flows, Numerical Heat Transfer, Part B, 7 (1984), 2, pp. 147-163
- Thakur, S., Shyy, W., Some Implementation Issues of Convection Schemes for Finite-Volume Formulations, Numerical Heat Transfer, Part B, 24 (1993), 1, pp. 31-55
- Ito, A., Kashiwagi, T., Temperature Measurements in PMMA during Downward in Flame Spread in Air Using Holographic Interferometry, Proceedings, 21st Symposium (Int.) on Combustion, 1985, The Combustion Institute, Pittsburgh, Pa., USA, 1986, pp. 65-74
Volume
11,
Issue
2,
Pages67 -86