Journal of Engineering Physics and Thermophysics

, Volume 86, Issue 5, pp 1191–1201 | Cite as

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

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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.

Keywords

wave equation Hooke’s law Newton’s second law vibration of an elastic medium infinite and finite velocities of propagation of disturbances relaxation properties of a medium method of separation of variables exact analytical solution 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Samara State Technical UniversitySamaraRussia

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