Based on the numerical study of the existing K ω γ model, certain inconsistencies of the model were first allocated. It was found that the second-mode instability dominating the transition process in hypersonic boundary layers was not simulated properly by the model, and a single transport equation for total fluctuating kinetic energy would make the model fail to be self-consistent. To eliminate these discrepancies, a laminar kinetic energy transport equation was developed in terms of local variables. Then, a time scale correction function capable of reproducing the hypersonic transition process dominated by the second-mode instability was constructed. In addition, the transport equation for the intermittency factor, in which the self-consistent production and dissipation terms were constructed, was also revised. On this basis, the transport equations for the laminar kinetic energy and intermittency factor were coupled with the k ω shear stress transport model through the concept of effective turbulent eddy viscosity to form a local-variable-based k ω k l γ model for hypersonic boundary layer transition. Finally, hypersonic transition flows over a flat plate and a straight cone are employed to test and verify the k ω k l γ model. Numerical results illustrate that both the transition onset and the length of the transition region predicted by the k ω k l γ model agree well with the experimental data.


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    Title :

    Local-Variable-Based Model for Hypersonic Boundary Layer Transition


    Contributors:

    Published in:

    AIAA Journal ; 57 , 6 ; 2372-2383


    Publication date :

    2019-06-01




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




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