Radiative transfer effects in natural convection above fires—opaque approximation
Authors:
M. P. Murgai and R. K. Varma
Journal:
Quart. Appl. Math. 22 (1965), 345-353
MSC:
Primary 80.35
DOI:
https://doi.org/10.1090/qam/187589
MathSciNet review:
187589
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Abstract: In continuation of a previous paper on a similar subject, we examine here, in detail, the opaque approximation of the radiative transfer equation by retaining the vertical diffusivity term within the boundary layer theory. The results seem to indicate the presence of a layer very near the horizontal boundary of the plume where the radiation effects are dominant. The thickness of this layer tends to decrease with increasing absorption coefficient.
M. P. Murgai, Radiative transfer effects in natural convection above fires, J. Fluid Mech. 12, (1962) 441
- Dean R. Chapman and Morris W. Rubesin, Temperature and velocity profiles in the compressible laminar boundary layer with arbitrary distribution of surface temperature, J. Aeronaut. Sci. 16 (1949), 547–565. MR 32318
S. Chandrasekhar, An introduction to the study of stellar structure, University of Chicago Press, 1939
- M. P. Murgai and H. W. Emmons, Natural convection above fires, J. Fluid Mech. 8 (1960), 611–624. MR 114551, DOI https://doi.org/10.1017/S0022112060000839
M. P. Murgai, Radiative transfer effects in natural convection above fires, J. Fluid Mech. 12, (1962) 441
D. R. Chapman and M. W. Rubesin, Temperature and velocity profiles in the compressible Laminar boundary layer with arbitrary distribution of surface temperature, J. Aero. Sci. 16 (1949) 547
S. Chandrasekhar, An introduction to the study of stellar structure, University of Chicago Press, 1939
M. P. Murgai and H. W. Emmons, Natural convection above fires, J. Fluid Mech. 8 (1960) 611
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Article copyright:
© Copyright 1965
American Mathematical Society