A Perturbation Expansion of the Navier-Stokes Equations for Shock Waves,
Abstract
A systematic perturbation expansion is developed for the steady-state Navier-Stokes equations describing shock propagation in an ideal gas. The temperature dependence of the viscosity and thermal conductivity is accounted for, though the specific heat and Prandtl number are assumed constant. It is shown that if the first n-1 terms in the expansion are known, the n th term can always be expressed in terms of a quadrature. Explicit calculation of the expansion is carried out to second order in the shock strength, and the results are compared with a special-case exact calculation. It is shown that the results are in surprisingly good agreement with the exact calculation even for rather strong shock waves. The effect on shock structure of the temperature-dependent transport coefficients is discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1976
- Accession Number
- ADA030357
Entities
People
- Jad H. Batteh
- John D. Powell
Organizations
- Ballistic Research Laboratory