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

Le, Nam Tuan Phuong and White, Craig and Reese, Jason 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. ISSN 0017-9310

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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: Article
    ID code: 41102
    Keywords: Langmuir–Maxwell , Langmuir–Smoluchowski , New boundary conditions , Adsorption , Hypersonics , Simulation results, Mechanical engineering and machinery, Mechanical Engineering, Mechanics of Materials, Aerospace Engineering, Modelling and Simulation
    Subjects: Technology > Mechanical engineering and machinery
    Department: Faculty of Engineering > Mechanical and Aerospace Engineering
    Technology and Innovation Centre > Advanced Engineering and Manufacturing
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    Depositing user: Pure Administrator
    Date Deposited: 12 Sep 2012 11:10
    Last modified: 27 Mar 2014 22:06
    URI: http://strathprints.strath.ac.uk/id/eprint/41102

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