Use of the pressure jump boundary condition in the high speed rarefied gas flows.

Eswaran, Vinayak and Dongari, Nishanth and Kalkote, Nikhil Narayan (2020) Use of the pressure jump boundary condition in the high speed rarefied gas flows. In: 6th European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) (ECCM 6) and the 7th European Conference on Computational Fluid Dynamics (ECFD 7), 11-15 June 2018, Glasgow,UK.

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Abstract

The use of a new temperature jump condition considering the viscous heat generation due to sliding friction has been recently proposed in the literature. It gives a more accurate prediction w.r.t the DSMC results for temperature and heat flux. In this work, we study the case of hypersonic flow over a flat plate with inlet Mach number of 6.1, for which the experimental and the DSMC results are available in the literature. We have verified our formulation of various non-equilibrium boundary condition with the already published results. It is then shown that using the new temperature jump condition, pressure is over-predicted, especially at the leading edge of the plate. We have then demonstrated that the use of a previously-published pressure jump condition, which has been largely ignored in the literature, is a means to correct the over-prediction of pressure. The use of the new temperature jump with the pressure jump boundary condition circumvents the problem of over-prediction of pressure without affecting the other flow parameters. Also, we show the effect of the pressure jump condition with the "standard" non-equilibrium boundary condition.

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