ASYMPTOTIC SOLUTIONS OF NAVIER-STOKES EQUATIONS IN REGIONS WITH LARGE LOCAL PERTURBATIONS,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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A theoretical treatment of the problems of supersonic flows with local flow singularities such as flows near corner points, in the region of boundary layer-shock wave interaction, near points of separation or reattachment of flow, etc., is presented on the basis of the general analysis of the asymptotic behavior of solutions of the Navier-Stokes equations. A known method of constructing and matching asymptotic expansions representing solutions in different characteristic flow regions with infinitely decreasing viscosity is used here. As an illustrative example, the problem of viscous supersonic flow near a surface with a large local curvature is treated in detail. It is assumed that the free flow is uniform and supersonic. Distributions of friction stress, heat fluxes, and pressure in different regions of the surface are analyzed and the possibility of the formation of a local zone of separation is discussed.
- Numerical Mathematics
- Fluid Mechanics