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Effects of Radial Temperature Gradient on the Stability of a Viscous Flow between Two Rotating Porous Cylinders with a Narrow Gap
Author(s) -
Ali M.A.,
Soundalgekar V.M.
Publication year - 2001
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 - 10.1002/1521-4001(200107)81:7<457::aid-zamm457>3.0.co;2-q
Subject(s) - taylor number , cylinder , mechanics , angular velocity , suction , temperature gradient , concentric , physics , wavenumber , flow (mathematics) , materials science , thermodynamics , classical mechanics , geometry , optics , mathematics , meteorology
The linear stability of viscous fluid flow between two rotating concentric porous cylinders at temperature θ 1 (of the inner cylinder) and θ 2 (of the outer cylinder) is studied in a narrow gap case. The numerical values of the critical wave number “ a c ” and the critical Taylor number “ T c ” are listed in a table for different values of μ (= 0 only the inner cylinder rotating), μ (≷ 0, both cylinders co‐rotating or counter‐rotating) ratio of angular velocities Ω 2 / Ω 1 , and for different values of ± N , ± S where N is a radial temperature gradient parameter based on the temperature difference θ 2 — θ 1 ⋛ 0) and S is the suction (> 0) or injection (< 0) velocity. The effects of these parameters on the stability of flows are discussed.