Modeling radiant-heat-transfer problems in media of nonplane geometry

1979 ◽  
Vol 36 (2) ◽  
pp. 148-158
Author(s):  
K. S. Adzerikho ◽  
V. I. Antsulevich ◽  
V. P. Nekrasov ◽  
V. P. Trofimov
Keyword(s):  
Heat Transfer ◽  
Radiant Heat ◽  
Radiant Heat Transfer ◽  
Transfer Problems

Heat Transfer by Simultaneous Conduction and Radiation in an Absorbing Medium

1962 ◽  
Vol 84 (1) ◽  
pp. 63-72 ◽  
Author(s):  
R. Viskanta ◽  
R. J. Grosh
Keyword(s):  
Heat Transfer ◽  
Thermal Radiation ◽  
Radiant Heat ◽  
Radiant Heat Transfer ◽  
Dimensional System ◽  
Parallel Plates ◽  
Approximate Methods ◽  
One Dimensional ◽  
Finite Distance ◽  
Transfer Problems

Heat transfer by simultaneous conduction and radiation in a thermal radiation absorbing and emitting medium is considered. Consideration is given to a one-dimensional system consisting of two, diffuse, nonblack, infinite, isothermal, parallel plates separated by a finite distance. The space between the plates is filled with a thermal radiation absorbing and emitting medium. The problem is formulated in terms of a nonlinear integro-differential equation and the solution is obtained by reducing it to a nonlinear integral equation. The numerical results are obtained by an iterative method. The temperature distributions and heat transfer are calculated. Two approximate methods for formulating radiant heat-transfer problems are presented and comparisons of the results are made with the most exact solution.

Radiant Heat Transfer From Isothermal Dispersions With Isotropic Scattering

1967 ◽  
Vol 89 (4) ◽  
pp. 300-308 ◽  
Author(s):  
R. H. Edwards ◽  
R. P. Bobco
Keyword(s):  
Heat Transfer ◽  
Approximate Solutions ◽  
Radiant Heat ◽  
Second Order ◽  
Isotropic Scattering ◽  
Radiant Heat Transfer ◽  
Approximate Methods ◽  
First Order ◽  
Order Solution ◽  
Radiant Transfer

Two approximate methods are presented for making radiant heat-transfer computations from gray, isothermal dispersions which absorb, emit, and scatter isotropically. The integrodifferential equation of radiant transfer is solved using moment techniques to obtain a first-order solution. A second-order solution is found by iteration. The approximate solutions are compared to exact solutions found in the literature of astrophysics for the case of a plane-parallel geometry. The exact and approximate solutions are both expressed in terms of directional and hemispherical emissivities at a boundary. The comparison for a slab, which is neither optically thin nor thick (τ = 1), indicates that the second-order solution is accurate to within 10 percent for both directional and hemispherical properties. These results suggest that relatively simple techniques may be used to make design computations for more complex geometries and boundary conditions.

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