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Nonstationary interaction of a short blunt body with a cavity in a compressible liquid

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Abstract

The shock-interaction problem for a rigid spherical body and a spherical cavity in a compressible liquid is formulated and solved. Three typical cases of typical dimensions of the body and cavity are examined. An asymptotic solution valid at the earliest stage of interaction is obtained. In the general case, the problem is reduced to an infinite system of integral equations of the second kind. It is numerically solved for the case of a nonsmall air gap

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References

  1. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, Dover, New York (1970).

    Google Scholar 

  2. H. Bateman and A. Erdelyi, Tables of Integral Transforms, McGraw-Hill, New York (1954).

    Google Scholar 

  3. H. Bateman and A. Erdelyi, Higher Transcendental Functions, McGraw-Hill, New York (1953).

    Google Scholar 

  4. V. D. Kubenko, Nonstationary Interaction between Structural Members and a Medium [in Russian], Naukova Dumka, Kyiv (1979).

    Google Scholar 

  5. V. D. Kubenko, “Nonstationary lateral motions of a supercavitating short blunt body,” Dokl. NAN Ukrainy, No. 7, 46–53 (2003).

  6. G. V. Logvinovich, Hydrodynamics of Free-Boundary Flows [in Russian], Naukova Dumka, Kyiv (1969).

    Google Scholar 

  7. Yu. N. Savchenko, V. N. Semenenko, and S. I. Putilin, “Nonstationary processes accompanying the supercavitation of bodies,” Prikl. Gidromekh., No. 1, 79–97 (1999).

  8. S. Ashley, “Warp drive underwater,” Sci. Amer., 284, No. 5, 70–79 (2001).

    Article  Google Scholar 

  9. V. D. Kubenko, “Nonstationary plane elastic contact problem for matched cylindrical surfaces,” Int. Appl. Mech., 40, No. 1, 51–60 (2004).

    Article  Google Scholar 

  10. V. D. Kubenko and T. A. Marchenko, “Axisymmetric collision problem for two identical elastic solids of revolution,” Int. Appl. Mech., 40, No. 7, 766–775 (2004).

    Article  Google Scholar 

  11. V. D. Kubenko, “Impact of blunted bodies on a liquid or elastic medium,” Int. Appl. Mech., 40, No. 11, 1185–1225 (2004).

    Article  MathSciNet  Google Scholar 

  12. V. D. Kubenko, “Impact of a long thin body on a cylindrical cavity in liquid: A plane problem,” Int. App. Mech., 42, No. 6, 636–654 (2006).

    Article  MathSciNet  Google Scholar 

  13. A. D. Vasin and E. L. Paryshev, “Immersion of a cylinder in a fluid through a cylindrical free surface,” Fluid Dynamics, 36, No. 2, 169–177 (2001).

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv

    V. D. Kubenko

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  1. V. D. Kubenko
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 11, pp. 40–56, November 2006.

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Kubenko, V.D. Nonstationary interaction of a short blunt body with a cavity in a compressible liquid. Int Appl Mech 42, 1231–1245 (2006). https://doi.org/10.1007/s10778-006-0194-9

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  • DOI: https://doi.org/10.1007/s10778-006-0194-9

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