On Higher Order Hydrodynamic Theories of Shock Structure

  • J. D. FochJr.
Part of the Acta Physica Austriaca book series (FEWBODY, volume 10/1973)


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.


Shock Wave Mach Number Singular Point Boltzmann Equation Order Differential Equation 
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Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • J. D. FochJr.
    • 1
  1. 1.Department of Aerospace Engineering SciencesUniversity of ColoradoBoulderUSA

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