Low Reynolds number stability of MHD plane Poiseuille flow of an Oldroyd fluid

R. N. Ray, A. Samad and T. K. Chaudhury

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-9

Abstract:

The linear stability of plane Poiseuille flow at low Reynolds number of a conducting Oldroyd fluid in the presence of a transverse magnetic field has been investigated numerically. Spectral tau method with expansions in Chebyshev polynomials is used to solve the Orr-Sommerfeld equation. It is found that viscoelastic parameters have destabilizing effect and magnetic field has a stabilizing effect in the field of flow. But no instabilities are found.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:170938

DOI: 10.1155/S0161171200002040

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