Accession Number : AD0696175

Title :   SOLUTION OF THE NAVIER-STOKES EQUATIONS FOR VISCOUS SUPERSONIC FLOWS ADJACENT TO ISOTHERMAL AND ADIABATIC SURFACES.

Descriptive Note : Final rept. 1 Jun 68-31 May 69,

Corporate Author : GENERAL ELECTRIC CO PHILADELPHIA PA SPACE DIV

Personal Author(s) : Scala,S. M. ; Gordon,P.

Report Date : 28 APR 1969

Pagination or Media Count : 85

Abstract : Since it is very desirable to have a computational procedure for the numerical calculation of high speed viscous flow fields, which does not require 'patchwork' or fitting procedures for matching the strongly viscous regions generally found near surfaces to the weakly viscous outer regions, the authors have been developing a method for the calculation of complete flow fields which is based on the numerical solution of the complete time-dependent Navier-Stokes equations. In this paper, details of the procedure are presented for a number of geometries, including one-dimensional (the piston problem), two-dimensional (flow around a circular cylinder) and axially-symmetric (flow around an isothermal sphere) cases. The gas was treated as a perfect, diatomic, nondissociating, viscous, thermally conducting gas. At the surface in contact with the fluid, the two limiting boundary conditions for surface temperature are utilized, i.e., the low temperature limit corresponding to an isothermal wall (high heat transfer rate) and the high temperature limit corresponding to the adiabatic wall (zero heat transfer rate). The time-dependent structure of the flow field, including the velocity profiles, the density, temperature and pressure distributions is presented for each of the aforementioned geometries for a range of Reynolds numbers. (Author)

Descriptors :   (*BOUNDARY LAYER, SUPERSONIC FLOW), (*SUPERSONIC FLOW, PROBLEM SOLVING), (*NAVIER STOKES EQUATIONS, NUMERICAL METHODS AND PROCEDURES), FLOW FIELDS, VISCOSITY, SHOCK WAVES, ONE DIMENSIONAL FLOW, TWO DIMENSIONAL FLOW, AXIALLY SYMMETRIC FLOW, DRAG, SURFACE TEMPERATURE, HEAT TRANSFER COEFFICIENTS, REYNOLDS NUMBER, DIFFERENCE EQUATIONS, CYLINDRICAL BODIES, PISTONS, SPHERES

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE