The Boltzmann Equation pp 123-140 | Cite as

# On Higher Order Hydrodynamic Theories of Shock Structure

Conference paper

## Abstract

The Burnett equations for shock structure in a Maxwell gas (inverse fifth power repulsion) are not amenable to numerical integration by the usual methods (fourth order Runge-Kutta) above a Mach number of 1.9. The super-Burnett equations are not amenable to numerical integration by the usual methods for any Mach number. It is not yet clear whether these negative results indicate a fundamental difficulty in the Chapman-Enskog solution of the Boltzmann equation.

## Keywords

Shock Wave Mach Number Singular Point Boltzmann Equation Order Differential Equation
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## References

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- [10]Although the predictions of the linearized Burnett equations for sound propagation are in quantitative agreement with experiment, the same cannot quite be said for the linearized super-Burnett equations. We hope to settle this uncertainty soon with absorption measurements at the University of Colorado.Google Scholar

## Copyright information

© Springer-Verlag 1973