Heat transfer by conduction and radiation in a one-dimensional planar medium using the differential approximation
The combined conduction and radiation heat transfer problem for a gray planar medium between two diffuse, isothermal infinite parallel plates is considered using the differential approximation. The P-1 and P-3 spherical harmonics approximations for the intensity distribution are used. In addition, isotropic scattering and uniform volumetric generation terms are included. The governing energy equations developed using the P-1 and P-3 intensity expressions are fourth and sixth order nonlinear ordinary differential equations, respectively, and these equations have been solved numerically using a spline-collocation algorithm. Results are compared with the exact solutions and show that the differential methods are accurate for predicting both temperature profiles and heat transfer rates.
- Research Organization:
- Sandia National Labs., Albuquerque, NM (USA); Texas Univ., Austin (USA). Dept. of Mechanical Engineering
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 6329776
- Report Number(s):
- SAND-80-2745C; CONF-810804-9; ON: DE81025998
- Country of Publication:
- United States
- Language:
- English
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