Higher Order Gasdynamic Theory of Shock Structure
Abstract
This document is the final report concerning the theoretical investigation of the structure of a normal shock wave in a gas composed of Maxwell molecules. The higher order gasdynamic differential equations for the shock structure are derived from this Boltzmann equation through fourth order in spatial derivatives (Super-Super-Burnett Order). The derivation employs a simplified version of the well known Chapman-Enskog development. Perturbation methods are used to find approximate solutions for the Super Burnett (third order) and Super-Super-Burnett (fourth order) equations which are not amenable to numerical integration by conventional techniques. The perturbation methods are shown to produce satisfactory approximate solutions for the Navier-Stokes and Burnett equations which are amenable to numerical integration. The higher order gasdynamic corrections to the Navier-Stokes shock structure for a Maxwell gas are shown to be qualitatively similar to the discrepancies between experimental results and the Navier-Stokes shock structure for a realistic intermolecular potential.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1977
- Accession Number
- ADA060627
Entities
People
- Charles E. Simon
Organizations
- Air Force Research Laboratory