One Singularly Perturbed Problem of Turbulent Gas Dynamics |
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Authors: | A V Omel'chenko É A Tropp |
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Institution: | (1) St. Petersburg State Polytechnical University, St. Petersburg, 195251 |
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Abstract: | The problem of the interaction of a Prandtl–Mayer wave with a shear layer is solved using the small parameter method for the case where the flow vorticity in the shear layer is small. A direct expansion is constructed and its inadequacy at large distances from the vortex layer is proved. The strained coordinate method is used to obtain a uniformly adequate expansion. It is shown that for certain velocity distributions in the shear layer, the characteristics in the reflected simple wave resulting from the interaction intersect each other and a shock arises in the flow. There coordinates of the shock origin and the function describing the shock shape are obtained. |
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Keywords: | simple wave interaction" target="_blank">gif" alt="dash" align="MIDDLE" BORDER="0">wave interaction gas dynamics asymptotic expansions singular problem |
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