Radiation, Conduction, and Convection From a Sphere in an Absorbing, Emitting, Gray Medium

[+] Author and Article Information
P. D. Jones

Department of Mechanical Engineering, Auburn University, Auburn, AL 36849-5341

Y. Bayazitoglu

Mechanical Engineering and Materials Science Department, Rice University, Houston, TX 77251

J. Heat Transfer 114(1), 250-254 (Feb 01, 1992) (5 pages) doi:10.1115/1.2911254 History: Received August 01, 1990; Revised July 01, 1991; Online May 23, 2008


Combined mode heat transfer is solved for an emitting, reflecting sphere in low Peclet number motion through a gray, nonscattering, absorbing, emitting, and conducting infinite medium. The coupled formulation of the energy and radiative transfer equations is solved numerically. The radiative transfer equation is expressed in a unique spatial/directional coordinate system, whose object is to exploit the axisymmetry of the problem. The radiation intensity field is solved using the discrete ordinates method. Results are presented in terms of the Planck and Peclet numbers, and serve as a combined radiation/convection analog to the well-known Nusselt number result for a radiatively nonparticipating medium.

Copyright © 1992 by The American Society of Mechanical Engineers
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