SOLUTION OF THE NAVIER-STOKES EQUATIONS FOR VISCOUS SUPERSONIC FLOWS ADJACENT TO ISOTHERMAL AND ADIABATIC SURFACES.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 28, 1969
- Accession Number
- AD0696175
Entities
People
- P. Gordon
- S. M. Scala
Organizations
- General Electric