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Inertial Oscillations and Hydromagnetic Multiple Boundary Layers in a Rotating Fluid
Author(s) -
Debnath L.
Publication year - 1975
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19750550303
Subject(s) - mechanics , physics , boundary layer , suction , classical mechanics , boundary (topology) , flow (mathematics) , inertial frame of reference , inertial wave , magnetohydrodynamics , transient (computer programming) , steady state (chemistry) , viscous liquid , magnetic field , boundary value problem , fluid dynamics , wave propagation , mathematical analysis , thermodynamics , mathematics , optics , mechanical wave , chemistry , longitudinal wave , quantum mechanics , computer science , operating system
A study is made of the non‐torsionally generated unsteady hydromagnetic flow in a semi‐infinite expanse of an electrically conducting rotating viscous fluid bounded by an infinite non‐conducting porous plate subjected to uniform suction or blowing in the presence of an external magnetic field. The structure of the steady and the unsteady velocity field and the associated multiple boundary layers are investigated. An asymptotic analysis of the solution is carried out for small and large times to describe the manner of the transient approach to the ultimate steady‐state flow including the various physical processes involved in it. The difficulty of the hydrodynamic solution associated with the case of blowing and resonant frequency is resolved in this paper. It is shown that the oscillatory boundary layer flows confined to the ultimate boundary layers are established through the inertial oscillations and the propagation of diffused hydromagnetic waves.