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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Imprimir: 2152-5102
ISSN On-line: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v31.i5.30
pages 446-455

Pressure Penetration to Inhomogeneous Compressible Liquid

A. G. Bagdoev
Institute of Mechanics of National Academy of Sciences of Armenia, Yerevan, Armenia
S. G. Sahakyan
Institute of Mechanics of National Academy of Sciences of Armenia, Yerevan, Armenia


A successive approximation method is developed for solving the mixed boundary problems arising at modeling of the perturbations propagation process in ideal inhomogeneous liquid. A two-dimensional problem is considered having the time-dependent part of the boundary, where the external forces are applied. The numerical examples are derived for the liquid being non-uniform in depth with the exponential change of density. The solutions are developed in two approximations with respect to a small parameter related with the inhomogeneity exponent. The solutions are given in the integral form. The asymptotic analysis, developed for estimating the specific features of the pressure and liquid particle velocity distribution near the edges of the loaded area, shows how does the inhomogeneity effects the specified physical characteristics of the wave process.

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