Nonsimilar solution of compressible laminar boundary layer flows by a semi-discretization method
Abstract
The finite-element-differential method of Hsu (1980) for steady 2D incompressible laminar boundary-layer flows is applied to more complex boundary-layer flows of ideal gases past submerged bodies. The governing equations are derived and subjected to Illingworth-Stewartson, Falkner-Skan, von Mises, and undimensionalizing transformations; the resulting initial-value problem is solved by the Hsu method and integrated numerically using the technique of Gear (1969) for stiff equations. The method is applied to supersonic flow past a circular cylinder, and the results of heat-transfer-coefficient calculations at various values of the Mach and Prandtl numbers are compared to the experimental data of Beckwith and Cohen (1961) in a graph.
- Publication:
-
Finite Element Flow Analysis
- Pub Date:
- 1982
- Bibcode:
- 1982fefa.proc..395H
- Keywords:
-
- Boundary Layer Flow;
- Compressible Boundary Layer;
- Computational Fluid Dynamics;
- Laminar Boundary Layer;
- Supersonic Flow;
- Circular Cylinders;
- Discrete Functions;
- Flow Deflection;
- Heat Transfer Coefficients;
- Ideal Gas;
- Similarity Theorem;
- Temperature Dependence;
- Thermal Conductivity;
- Two Dimensional Boundary Layer;
- Viscosity;
- Fluid Mechanics and Heat Transfer