I.T.Selezov Degenerated wave models of magnetohydrodynamics and magnetoelasticity and their applications in the theory of wave difraction and control |
Applied hydromechanics, Vol. 9 (81) ¹ 2-3, (2007) |
| Linearized equations of motion of space-inhomogenious electrically conducting medium in the presence of magnetic field are presented. The refined approximation of a weak electroconductivity and perfect electroconductivity are developed. The similar approximations are developed for an inhomogeneous magnetoelastic solid. On the basis of these approximations analytical solutions of the problem of cylindrical wave diffraction by a circular cylindrical obstacle are obtained. The effect of MHD-parameters on the wave scattering is analysed. Also, analytical solutions of the problem of feedback control for a flutter of elastic plate in MHD-flow are obtained. Essential improvement of dynamical stability of the system is shown. |
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| TEXT LANGUAGE: Russian |