POINT HEAT SOURCES AND THE TEMPERATURE-VORTICITY ANALOGY IN COMPRESSIBLE BOUNDARY LAYERS
Abstract
Under certain generally accepted assumptions, the analogy between temperature and vorticity for viscous, two-dimensional, constant property flows can be extended to compressible boundary layer flows. Within the scope of the assumptions, temperature and shearing stress are linearly related, and this relation is formally valid for both laminar and turbulent flows. This paper describes a simple problem for which the temperature-shearing stress analogy is valid. The problem concerns the flow over a semi-infinite insulated flat plate with a point heat source of strength located at the leading edge. Detailed theoretical velocity and temperature profiles are presented for the laminar case. They are non-similar, and depend on the parameter. Further, the velocity and temperature profiles resemble those of a compressible boundary layer on an insulated flat plate with no heat source. An experimental program was conducted to verify the theoretical predictions. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1962
- Accession Number
- AD0284000
Entities
People
- W.j. Mccroskey
Organizations
- Princeton University