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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Print: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v37.i3.40
pages 251-266

Oscillatory MHD Couette Flow in a Rotating System

R. R. Patra
Department of Applied Mathematics, Vidyasagar University, Paschim Medinipur, West Bengal-721102, India
Rabindra N. Jana
Department of Applied Mathematics, Vidyasagar University, Midnapore 721 102, India

ABSTRACT

Unsteady oscillatory Couette flow between two infinite horizontal parallel plates in a rotating system has been studied when one of the plate is held at rest and the other oscillates in its own plane. The effects of rotation and frequency parameter on the velocities and the shear stresses for steady and unsteady flow have been studied. It is found that the unsteady shear stress due to primary flow has a phase lag for 2K2 < λ and a phase lead for λ < 2K2 over the plate oscillation. On the other hand, the unsteady shear stress due to secondary flow has a phase lag over the oscillations of the plate either for 2K2 < λ or λ < 2K2, where K2 is the rotation parameter and λ is the frequency parameter.


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