Prediction of strong shock structure using the bimodal distribution function

Details Prediction of strong shock structure using the bimodal distribution function Prediction of strong shock structure using the bimodal distribution function

2010-12-31

arxiv.org/abs/1101.0190v1

Phys. Rev. E 83, 026301 (2011)

Physics

Fluid Dynamics

22 pages, 9 figures, Accepted for publication in Physical Review E

Scientific paper

10.1103/PhysRevE.83.026301

A modified Mott-Smith method for predicting the one-dimensional shock wave solution at very high Mach numbers is constructed by developing a system of fluid dynamic equations. The predicted shock solutions in a gas of Maxwell molecules, a hard sphere gas and in argon using the newly proposed formalism are compared with the experimental data, direct-simulation Monte Carlo (DSMC) solution and other solutions computed from some existing theories for Mach numbers M<50. In the limit of an infinitely large Mach number, the predicted shock profiles are also compared with the DSMC solution. The density, temperature and heat flux profiles calculated at different Mach numbers have been shown to have good agreement with the experimental and DSMC solutions

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