Abstract This paper investigates the use of Navier–Stokes–Fourier equations with non-equilibrium boundary conditions (BCs) for simulation of rarefied hypersonic flows. It revisits a largely forgotten derivation of velocity slip and temperature jump by Patterson, based on Grad's moment method. Mach 10 flow around a cylinder and Mach 12.7 flow over a flat plate are simulated using both computational fluid dynamics using the temperature jump BCs of Patterson and Smoluchowski and the direct simulation Monte-Carlo (DSMC) method. These flows exhibit such strongly non-equilibrium behaviour that, following Patterson's analysis, they are strictly beyond the range of applicability of the BCs. Nevertheless, the results using Patterson's temperature jump BC compare quite well with the DSMC and are consistently better than those using the standard Smoluchowski temperature jump BC. One explanation for this better performance is that an assumption made by Patterson, based on the flow being only slightly non-equilibrium, introduces an additional constraint to the resulting BC model in the case of highly non-equilibrium flows.

    Highlights ► Hypersonic flow calculations require velocity slip and temperature jump conditions at surfaces. ► Patterson's boundary conditions are available, as well as the Maxwell/Smoluchowski conditions. ► In results of CFD simulations, Patterson's temperature condition outperforms Smoluchowski's.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Rarefied hypersonic flow simulations using the Navier–Stokes equations with non-equilibrium boundary conditions


    Beteiligte:

    Erschienen in:

    Erscheinungsdatum :

    2011-01-01


    Format / Umfang :

    8 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch





    Rarefied Hypersonic Flow over a Sharp Cone : DSMC, Navier Stokes and Experimental Results

    Lengrand, J. C. / Chpoun, A. / Allegre, J. et al. | British Library Conference Proceedings | 1994


    Navier-Stokes simulation of 3-D hypersonic equilibrium air flow

    NAGARAJ, N. / LOMBARD, C. / BARDINA, J. | AIAA | 1988