R. N. Ray, A. Samad, T. K. Chaudhury, "Low Reynolds number stability of MHD plane Poiseuille flow of an Oldroyd fluid", International Journal of Mathematics and Mathematical Sciences, vol. 23, Article ID 170938, 9 pages, 2000. https://doi.org/10.1155/S0161171200002040
Low Reynolds number stability of MHD plane Poiseuille flow of an Oldroyd fluid
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.
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