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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Druckformat: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v30.i2.80
30 pages

Wave Processes in Fluids and Elastic Media

Igor T. Selezov
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Zhelyabov St., 8/4, Kyiv, 03680, MSP, Ukraine

ABSTRAKT

Some wave models are developed and investigated for water wave propagation, magnetohydrodynamic and hydroelastic waves and their interaction with local inhomogeneities. Extended evolution equations (nonlinear-dispersive approximations) for water wave propagation are derived from which known approximate theories of nonlinear water wave propagation follow as particular cases. The initial boundary value problem for the soliton evolution over an uneven bottom is investigated. The degenerated models of magnetohydrodynamics and magnetoelasticity of slight and perfect electroconductivity are constructed and the possibility of introduction of the potentials are shown. The problem of MHD-wave scattering by a cylinder is considered. The equations of magnetoelasticity are extended to the case of the medium with voids and the equations of magnetizable magnetoelastic medium are extended to the case of active interactions. A new initial boundary value problem for the pressure pulse propagation in a blood vessel consisting of jointed vessels of different radii and thicknesses is stated and solved by using Laplace transform in time. The effect of a vessel joint on the heart pressure pulse propagation is investigated in detail. The strong concentration of thickness-shear and bending stresses at the vessel joint has been discovered.


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