Accession Number : AD0684012

Title :   ASYMPTOTIC SOLUTIONS OF NAVIER-STOKES EQUATIONS IN REGIONS WITH LARGE LOCAL PERTURBATIONS,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Neiland,V. Ya. ; Sychev,V. V.

Report Date : 18 NOV 1968

Pagination or Media Count : 17

Abstract : 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.

Descriptors :   (*SUPERSONIC FLOW, FLOW SEPARATION), (*TWO DIMENSIONAL FLOW, BOUNDARY LAYER), (*NAVIER STOKES EQUATIONS, ASYMPTOTIC SERIES), GAS FLOW, PERTURBATION THEORY, PRESSURE, USSR

Subject Categories : Aerodynamics
      Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE