THE VALIDITY OF INTEGRAL METHODS IN MHD BOUNDARY LAYER ANALYSES.
Abstract
Consideration is given to the minimum conditions which must be satisfied in order that approximate solutions of boundary layer problems using integral techniques are acceptable for MHD applications. The criteria used for solution acceptability are those proposed by Schlichting together with the additional requirement that errors resulting from the approximations should be small compared with the differences between the behavior of an MHD flow and its ordinary hydrodynamic equivalent flow. Specific problems considered are the laminar momentum boundary layer, the turbulent momentum boundary layer, and the laminar thermal boundary layer. For the laminar momentum boundary layer, it is concluded that acceptable integral solutions currently exist. For a limited range of Hartmann and Reynolds Numbers, the fully developed solutions for the turbulent boundary layer are satisfactory, and the results in the developed region may be accepted tentatively. However, for the laminar thermal layer, no satisfactory solution exists. Experimental data for the developing MHD boundary layer are suggested as the best test of intrgral method results. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1965
- Accession Number
- AD0465570
Entities
People
- John B. Heywood
- W. Craig Moffatt
Organizations
- University of Virginia