Langmuir–Maxwell and Langmuir–Smoluchowski boundary conditions for thermal gas flow simulations in hypersonic aerodynamics

Le, N. T.P., White, C. , Reese, J. M. and Myong, R. S. (2012) Langmuir–Maxwell and Langmuir–Smoluchowski boundary conditions for thermal gas flow simulations in hypersonic aerodynamics. International Journal of Heat and Mass Transfer, 55(19-20), pp. 5032-5043. (doi:10.1016/j.ijheatmasstransfer.2012.04.050)

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Abstract

The simulation of nonequilibrium thermal gas flow is important for the aerothermodynamic design of re-entry and other high-altitude vehicles. In computational fluid dynamics, the accuracy of the solution to the Navier–Stokes–Fourier (N–S–F) equations depends on the accuracy of the surface boundary conditions. We propose new boundary conditions (called the Langmuir–Maxwell and the Langmuir–Smoluchowski conditions), for use with the N–S–F equations, which combine the Langmuir surface adsorption isotherm with the Maxwell/Smoluchowski slip/jump conditions in order to capture some of the physical processes involved in gas flow over a surface. These new conditions are validated for flat plate flow, circular cylinder in cross-flow, and the flow over a sharp wedge for Mach numbers ranging from 6 to 24, and for argon and nitrogen as the working gases. Our simulation results show that the new boundary conditions give better predictions for the surface pressures, compared with published experimental and DSMC data.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:White, Dr Craig
Authors: Le, N. T.P., White, C., Reese, J. M., and Myong, R. S.
College/School:College of Science and Engineering > School of Engineering > Aerospace Sciences
Journal Name:International Journal of Heat and Mass Transfer
Publisher:Elsevier Ltd.
ISSN:0017-9310
ISSN (Online):1879-2189

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