Numerical method for determining the unsteady boundary layer associated with a nonuniform exterior flow - Application to shock tubes
Abstract
The compressible unsteady boundary layer equations, coupled with a nonuniform flow, are integrated by a numerical procedure which uses Cranck-Nicholson scheme, Newton-Ralphson linearization, and the joint resolution of continuity and momentum equations. This method is applied to the boundary-layer growth in the hot flow of a shock tube, taking into account the mutual interaction between the boundary layer and inviscid stream. The results obtained by the present method show the influence of the unsteady boundary layer on the evolution of phenomena and enable improvement of the determination of the boundary layer and inviscid flow variables.
- Publication:
-
Journal de Mecanique
- Pub Date:
- 1977
- Bibcode:
- 1977JMec...16....1Z
- Keywords:
-
- Boundary Layer Equations;
- Boundary Layer Stability;
- Nonuniform Flow;
- Numerical Analysis;
- Shock Tubes;
- Unsteady Flow;
- Compressible Boundary Layer;
- Continuity Equation;
- Inviscid Flow;
- Momentum Theory;
- Newton-Raphson Method;
- Fluid Mechanics and Heat Transfer