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

ISSN Print: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v31.i2.70
10 pages

On Determining the Profile of the Wave Generated by Expanding Cavity in Fluid

V. G. Kovalev
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv; and Institute of Pulse Processes and Technologies of National Academy of Sciences of Ukraine, Mykolayiv, Ukraine
V. A. Pozdeev
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv; and Institute of Pulse Processes and Technologies of National Academy of Sciences of Ukraine, Mykolayiv, Ukraine

ABSTRACT

It is shown that when solving the initial-boundary problem with mobile boundaries for linear wave equation, the Cauchy-Lagrange integral with allowance for two quadratic components should be used in a general case. At low expansion rate for the cylindrical cavity with zero initial radius the velocity squared is the main component is that quadratic with respect to velocity. The expansion rate being increased, the contribution of the second component becomes more valuable. For plane waves at the start of the expansion of the cavity with non-zero initial radius and in the far field one can use the linear integral because the sum of quadratic components is equal to zero.


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