Numerical Simulation of Combustion and Extinction of a Solid Cylinder in Low-Speed Cross Flow

[+] Author and Article Information
Chin Tien Yang, J. S. T’ien

Department of Mechanical and Aerospace Engineering, Case Western Reserve University, Cleveland, OH 44106-7222

J. Heat Transfer 120(4), 1055-1063 (Nov 01, 1998) (9 pages) doi:10.1115/1.2825890 History: Received October 06, 1997; Revised March 30, 1998; Online December 05, 2007


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.

Copyright © 1998 by The American Society of Mechanical Engineers
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