TY - JOUR
T1 - Interaction of conduction and radiation in anisotropically scattering, spherical media
AU - Thynell, S. T.
N1 - Publisher Copyright:
© 1989 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.
PY - 1990
Y1 - 1990
N2 - Steady-state heat transfer by simultaneous conduction and radiation in absorbing, emitting, linear anisotropically scattering spherical media occupying the region 0 r R is analyzed. The medium, which contains continuous heat-generating sources, is confined within a gray, diffuse spherical boundary. To obtain a rigorous solution to the nonlinear heat-transfer problem, the integral form of the equation of transfer is utilized. This integral form is solved in a highly accurate manner by first expanding the unknown functions in power series and then employing the Galerkin method for generating a system of linear algebraic equations, which is then solved by standard methods. The energy equation for the temperature is discretized according to a standard finite-difference approach, and the resulting nonlinear system of equations is linearized utilizing the Newton-Raphson method and solved iteratively by standard routines. A comprehensive parametric study is performed in order to examine the interaction between the radiation and conduction.
AB - Steady-state heat transfer by simultaneous conduction and radiation in absorbing, emitting, linear anisotropically scattering spherical media occupying the region 0 r R is analyzed. The medium, which contains continuous heat-generating sources, is confined within a gray, diffuse spherical boundary. To obtain a rigorous solution to the nonlinear heat-transfer problem, the integral form of the equation of transfer is utilized. This integral form is solved in a highly accurate manner by first expanding the unknown functions in power series and then employing the Galerkin method for generating a system of linear algebraic equations, which is then solved by standard methods. The energy equation for the temperature is discretized according to a standard finite-difference approach, and the resulting nonlinear system of equations is linearized utilizing the Newton-Raphson method and solved iteratively by standard routines. A comprehensive parametric study is performed in order to examine the interaction between the radiation and conduction.
UR - http://www.scopus.com/inward/record.url?scp=0025461981&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0025461981&partnerID=8YFLogxK
U2 - 10.2514/3.180
DO - 10.2514/3.180
M3 - Article
AN - SCOPUS:0025461981
SN - 0887-8722
VL - 4
SP - 299
EP - 304
JO - Journal of thermophysics and heat transfer
JF - Journal of thermophysics and heat transfer
IS - 3
ER -