COMPRESSIBLE VISCOUS FLOW IN A TWO-DIMENSIONAL ADIABATIC CHANNEL
Abstract
The analysis of compressible viscous flow in a two-dimensional adiabatic channel is made by means of a boundary layer approximation. In particular, two-dimensional laminar flow within parallel adiabatic walls is treated. Some solutions were obtained which are in agreement with the results of more conventional one-dimensional flow analysis as far as pressure gradient and choking length are concerned. However, in the well-behaved cases profile changes involving popping and reverse flow are observed. This can be explained on the basis of non-uniformity in density and momentum over the cross section. Another set of cases which exhibit more unusual behavior are obtained. They are largely associated with positive pressure gradients in subsonic flow and negative pressure gradients in supersonic flow. It is observed that, due to nonuniform velocity, the flow may be partially supersonic and partially subsonic over a section. Mathematically, the initial pressure gradient can be prescribed in this analysis. Therefore, the unusual pressure gradient cited can be obtained in principle. The physical significance of the unusual solutions are discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1962
- Accession Number
- AD0278128
Entities
People
- Jer-shene Shang
- Martin H. Bloom
Organizations
- New York University Tandon School of Engineering