The existence of the complex compression and expansion waves in an isolator induces a special motion path of the shock train. Numerical simulations with two different inlet models are conducted. The results indicate that the local parameters govern the shock train's motion, and the pressure gradient along the surface plays an extremely important role. The shock train's location is determined by the entrance condition and backpressure, whereas it is the parameter along the surface that determines its path. The start and end positions of the rapid forward motion are located where the pressure gradient approaches zero. Streamwise parameters and the surface pressure gradient are introduced in Waltrup and Billig's ("Structure of ShockWaves in Cylindrical Ducts,- AIAA Journal , Vol. 11, No. 10, 1973, pp. 1404-1408) empirical correlation to characterize the rapid forward motion. Then, a mathematical model is established based on Billig's correlation and surface pressure datasets in the current paper.


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    Title :

    Mathematical Model of Shock-Train Path with Complex Background Waves



    Published in:

    Publication date :

    2016




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    55.50 Luftfahrzeugtechnik / 55.50
    Local classification TIB:    770/7040




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