HEAT TRANSFER TO A METAL SLAB WITH RADIATION BOUNDARY CONDITIONS
Abstract
The plane metal slab problem was treated in a rigorous manner for constant heat input and the 4th degree nonlinear radiation boundary condition at the front surface and an insulated rear surface. This was possible by formulating the problem as a nonlinear Volterra integral equation. An approximate solution was constructed with appropriate error bounds. This technique shows that the solution with the corresponding linear boundary condition yields an accurate solution for a large number of problems of practical interest. Numerical examples including rigorous estimates of their validity are given for several cases. For the case where this approach does not yield sufficiently accurate results, two alternate approaches are suggested.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 15, 1961
- Accession Number
- AD0268392
Entities
People
- David C. Stickler
Organizations
- Ohio State University