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国际计算热科学期刊
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 0.7

ISSN 打印: 1940-2503
ISSN 在线: 1940-2554

国际计算热科学期刊

DOI: 10.1615/ComputThermalScien.2017019576
pages 167-197

ROTATING UNSTEADY MULTI-PHYSICO-CHEMICAL MAGNETO-MICROPOLAR TRANSPORT IN POROUS MEDIA: GALERKIN FINITE ELEMENT STUDY

M. D. Shamshuddin
Department of Mathematics, Vaagdevi College of Engineering, Warangal, Telangana, 506005, India
O. Anwar Bég
Fluid Mechanics, Nanosystems and Propulsion, Aeronautical and Mechanical Engineering, School of Computing, Science and Engineering, Newton Building, University of Salford, Manchester M54WT, United Kingdom
S. Siva Reddy
Department of Mathematics, GITAM University, Hyderabad Campus, Telangana, India
A. Kadir
Materials, Structures and Corrosion, Mechanical Engineering, School of Computing, Science and Engineering, Newton Building, The Crescent, Salford M54WT, United Kingdom

ABSTRACT

In this paper, a mathematical model is developed for magnetohydrodynamic (MHD), incompressible, dissipative, and chemically reacting micropolar fluid flow, and heat and mass transfer through a porous medium from a vertical plate with Hall current, Soret, and Dufour effects. The entire system rotates with uniform angular velocity about an axis normal to the plate. Rosseland's diffusion approximation is used to describe the radiative heat flux in the energy equation. The governing partial differential equations for momentum, heat, angular momentum, and species conservation are transformed into dimensionless form under the assumption of low Reynolds number with appropriate dimensionless quantities. The emerging boundary value problem is then solved numerically with a Galerkin finite element method employing the weighted residual approach. The evolution of translational velocity, microrotation (angular velocity), temperature, and concentration are studied in detail. The influence of many multiphysical parameters in these variables is illustrated graphically. Finally, the friction factor, surface heat transfer, and mass transfer rate dependency on the emerging thermo-physical parameters are also tabulated. The finite element code is benchmarked with the results reported in the literature to check the validity and accuracy under some limiting cases and excellent agreement with published solutions is achieved. The study is relevant to rotating MHD energy generators utilizing non-Newtonian working fluids and also magnetic rheodynamic materials processing systems.