I.T.Selezov Wave processes in hydrodynamic and elastic media |
Applied hydromechanics, Vol. 2 (74) ¹ 4, (2000) |
| Some models are developed and investigated which describe water wave propagation, magnetohydrodynamic and hydroelastic waves of peristalsis kind and its interactions with local inhomogeneities. On this basis some problems are considered and analytical and numerical results are presented. Extended evolution equations (nonlinear-dispersive approximations) are derived from which as particular cases known approximate theories of nonlinear water wave propagation are followed. The soliton evolution is investigated. On the bases of the equations of magnetohydrodynamics and magnetoelasticity the approximations of weak and perfect electroconductivity are constructed. The possibility of introduction of the potentials are shown and the problem of MHD wave scattering by 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. The statement of a new initial boundary value problem of pressure pulse propagation in blood vessel with a joint is presented. The effect of the joint for vessels of different radii and thicknesses on hydroelastic wave propagation is investigated in detail. The strong concentration of thickness-shear and bending stresses at the joint has been discovered. |
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KEY WORDS: *** |
| TEXT LANGUAGE: Russian |