Radiative Ignition in a Planar Medium
Radiative ignition in a planar, gray, absorbing-emitting, isotropically scattering medium with volumetric Arrhenius heat generation is studied. The integral equation for the radiation source function is solved by a quadrature technique that includes subtracting out the singularity. Because the heat generation is temperature dependent, the integral equation is nonlinear, and an iterative solution procedure is used. Multi-solution behavior similar to that which causes ignition in a conduction problem is found when the dimensionless activation energy exceeds 7.5. The heat generation rate must be greater than a critical value in order for ignition to occur. An approximation of the critical heat generation is presented. The critical heat generation depends on the optical thickness of the slab, the single scattering albedo, and the dimensionless activation energy. The effect of the three parameters on the critical heat generation is investigated. © 1987.
A. L. Crosbie and M. Pattabongse, "Radiative Ignition in a Planar Medium," Journal of Quantitative Spectroscopy and Radiative Transfer, Elsevier, Jan 1987.
The definitive version is available at http://dx.doi.org/10.1016/0022-4073(87)90022-7
Mechanical and Aerospace Engineering
Article - Journal
© 1987 Elsevier, All rights reserved.