Abstract
This paper introduces a powerful but simple methodology for solving the general equation of radiative transfer for scattering and/or absorbing systems. Existing methods either provide crude estimates or involve intricate mathematical analysis coupled with numerical techniques. These methods are usually dependent on the geometry of the system and are designed to handle specific boundary conditions and energy equilibrium considerations. In contrast, the present method, which uses a discrete-ordinate technique to reduce the integro-differential equation to a system of ordinary differential equations, utilizes readily available software routines to solve the resulting set of coupled first-order ordinary differential equations as a two-point boundary value problem. The advantage of this approach is that the user is freed from having to select a suitable method for the particular problem at hand as well as understanding complicated mathematical analysis and performing extensive computer programming.
| Original language | English (US) |
|---|---|
| Title of host publication | American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD |
| Publisher | Publ by American Soc of Mechanical Engineers (ASME) |
| Pages | 179-185 |
| Number of pages | 7 |
| Volume | 96 |
| State | Published - 1988 |
| Event | ASME Proceedings of the 1988 National Heat Transfer Conference - Houston, TX, USA Duration: Jul 24 1988 → Jul 27 1988 |
Other
| Other | ASME Proceedings of the 1988 National Heat Transfer Conference |
|---|---|
| City | Houston, TX, USA |
| Period | 7/24/88 → 7/27/88 |
ASJC Scopus subject areas
- Fluid Flow and Transfer Processes
- Mechanical Engineering