AbstractPropagation of planar and spherical shock waves in a vibrational non-equilibrium medium, which may be initially inhomogeneous with prescribed property gradients, is investigated by a similarity transformation analysis. Similarity variables in exponential form are derived by a systematic one parameter group theory scheme. The basic equations governing the motion of the fluid are reduced to a set of four simultaneous nonlinear first-order ordinary differential equations, and are integrated numerically by a modified shooting technique to provide a complete description on the wave pattern. Results exhibit attenuation effects caused by the internal rate process and influences introduced by the initial non-uniform stream on the propagating shock strength, speed, and disturbed flow properties. Depending on the nature of the density gradient existing in the undisturbed medium, non-uniform effects may either compete with or enhance the relaxation of the shock waves.


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    Title :

    Self-similar shock waves in a relaxing, non-uniform gas


    Contributors:
    Chou, D.C. (author) / Maa, S.Y. (author)

    Published in:

    Acta Astronautica ; 6 , 5-6 ; 669-683


    Publication date :

    1978-07-17


    Size :

    15 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



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