HEAT TRANSFER IN A RAREFIED GAS BETWEEN PARALLEL PLATES AT LARGE TEMPERATURE RATIOS,
Abstract
Using a relaxation type model to describe the intermolecular collisions, the problem is reduced to the solution of two coupled non-linear integral equations for the density and temperature of the gas. An analytic solution of these equations is obtained for the limiting case of very high plate temperature ratio. Numerical results are obtained for several temperaature ratios, the lowest being 4 to 1, and for a state of rarefaction varying from free molecular to the transition regime. The numerical results are compared with results of a moment method, using four moments, and a first iterate method. The results of this moment method are found to be insufficiently sensitive to variations in the plate temperature ratio. Through use of a modified rarefaction parameter the numerical results for temperature ratios of 16 and 4 to 1 correlate quite well with the results of linearized analyses using more than four moments. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1962
- Accession Number
- AD0606414
Entities
People
- D. R. Willis
Organizations
- Princeton University