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Instability of the self-similar flow into a cavity

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Abstract

In this paper we have investigated the instability of the self-similar flow behind the boundary of a collapsing cavity. The similarity solutions for the flow into a cavity in a fluid obeying a gas lawp = Kρ γ, K = constant and 7 ≥ γ > 1 has been solved by Hunter, who finds that for the same value of γ there are two self-similar flows, one with accelerating cavity boundary and other with constant velocity cavity boundary. We find here that the first of these two flows is unstable. We arrive at this result only by studying the propagation of disturbances in the neighbourhood of the singular point.

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References

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Authors and Affiliations

  1. Department of Applied Mathematics, Indian Institute of Science, Bangalore-12, India

    S. G. Tagare & Phoolan Prasad

Authors
  1. S. G. Tagare
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  2. Phoolan Prasad
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Additional information

Communicated by Prof. P. L. Bhatnagar,f.a.sc.

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Tagare, S.G., Prasad, P. Instability of the self-similar flow into a cavity. Proc. Indian Acad. Sci. 71, 219–224 (1970). https://doi.org/10.1007/BF03049567

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  • DOI: https://doi.org/10.1007/BF03049567

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