Open Access

ARTICLE

Primary and Secondary Flows on Unsteady MHD Free Convective Micropolar Fluid Flow Past an Inclined Plate in a Rotating System: a Finite Element Analysis

M. D. Shamshuddin^{1, *}, P. V. Satya Narayana²

1 Department of Mathematics, Vaagdevi College of Engineering (Autonomous), Warangal, Telangana, India.
2 Department of Mathematics, SAS, Vellore Institute of Technology, Vellore, Tamil Nadu, India.

* Corresponding author: M. D. Shamshuddin. Email: . .

Fluid Dynamics & Materials Processing 2018, 14(1), 57-86. https://doi.org/10.3970/fdmp.2018.014.057

Abstract

In the present paper, a numerical analysis is performed to study the primary and secondary flows of a micropolar fluid flow past an inclined plate with viscous dissipation and thermal radiation in a rotating frame. A uniform magnetic field of strength Bo is applied normal to the plane of the plate. The whole system rotates with uniform angular velocity about an axis normal to the plate. The governing partial differential equations are transformed into coupled nonlinear partial differential equations by using the appropriate dimensionless quantities. The resulting equations are then solved by the Galerkin finite element method. The influencing pertinent parameters like primary and secondary velocities, primary and secondary angular velocities, temperature and concentration profiles are represented with the help of graphs. The validity and accuracy of finite element code is benchmarked with the results reported in the literature under some limiting cases. The study is relevant to rotating MHD (magnetohydrodynamics) energy generators utilizing non-Newtonian working fluids and magnetic rheo-dynamic materials processing systems.

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Keywords

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