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Title

Study of the exact analytical solution of the equation of longitudinal waves in a liquid with account of its relaxation properties.

Authors

Kudinov, I.; Kudinov, V.

Abstract

A mathematical model of elastic vibrations of an incompressible liquid has been developed based on the hypothesis on the finite velocity of propagation of field potentials in this liquid. A hyperbolic equation of vibrations of such a liquid with account of its relaxation properties has been obtained. An exact analytical solution of this equation has been found and investigated in detail.

Subjects

ANALYTICAL solutions; MATHEMATICAL models; ELASTICITY; VIBRATION (Mechanics); INCOMPRESSIBLE flow; HYPOTHESIS; THEORY of wave motion; NEWTON'S second law of motion

Publication

Journal of Engineering Physics & Thermophysics, 2013, Vol 86, Issue 5, p1191

ISSN

1062-0125

Publication type

Academic Journal

DOI

10.1007/s10891-013-0941-9

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