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Comprehensive assessment of newly-developed slip-jump boundary conditions in high-speed rarefied gas flow simulations

Authors: 

Nam T.P. Le, Ehsan Roohi, Thoai N. Tran

Source title: 
Aerospace Science and Technology, 91: 656-668, 2019 (ISI)
Academic year of acceptance: 
2019-2020
Abstract: 

In this paper we numerically evaluate the recently developed Aoki et al. slip and jump conditions in high-speed rarefied gas flows for the first time. These slip and jump conditions are developed to be employed with the Navier–Stokes–Fourier equations. They were derived based on the Boltzmann equation with the first order Chapman–Enskog solution, and the analysis of the Knudsen layer. Four aerodynamic configurations are selected for a comprehensive evaluation of these conditions such as sharp-leading-edge flat plate, vertical plate, wedge and circular cylinder in cross-flow with the Knudsen number varying from 0.004 to 0.07, and argon as the working gas. The simulation results using the Aoki et al. boundary conditions show suitable agreement with the DSMC data for slip velocity and surface gas temperature. The accuracy of these boundary conditions is superior to the conventional Maxwell, Smoluchowski and Le boundary conditions.