Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Similarity solutions to rotating Couette flow of non-Newtonian fluids in the presence of a magnetic field

Authors: J. P. Pascal and H. Pascal
Journal: Quart. Appl. Math. 54 (1996), 345-358
MSC: Primary 76A05; Secondary 76W05
DOI: https://doi.org/10.1090/qam/1388021
MathSciNet review: MR1388021
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Abstract: We study the rotating Couette flow of conducting power law fluids in the presence of a magnetic field. We analyze the coupled effects of the rheology and the magnetic field on the angular velocity and shear stress distributions for the case when an infinite long cylinder rotates in an unbounded fluid. For shear thickening fluids our exact similarity solutions exhibit traveling wave characteristics determining the existence of a moving shear front. We investigate the electrorheological effect on the propagation of the shear disturbances front.

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DOI: https://doi.org/10.1090/qam/1388021
Article copyright: © Copyright 1996 American Mathematical Society

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