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DOI: 10.1615/SpecialTopicsRevPorousMedia.2020030455
pages 203-219

EFFECTS OF CROSS DIFFUSION AND RADIATION ON MAGNETO MIXED CONVECTIVE STAGNATION FLOW FROM A VERTICAL SURFACE IN POROUS MEDIA WITH GYROTACTIC MICROORGANISMS: SIMILARITY AND NUMERICAL ANALYSIS

Nayema Islam Nima
Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh; Department of Quantitative Sciences, International University of Business Agriculture and Technology, Dhaka-1230, Bangladesh
M. Ferdows
Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
M. Moghimi Ardekani
Department of Mechanical and Aeronautical Engineering, University of Pretoria, South Africa

ABSTRACT

This paper investigates the effects of Soret and Dufour in a steady mixed convective boundary layer flow over a vertical surface in a magnetic field embedded in a porous medium with gyrotactic microorganisms. The governing momentum, energy, concentration, and microorganism equations are transformed into a set of coupled differential equations. These equations are solved by the Maple 14.0 algorithm. The numerical results for different nondimensional numbers (Soret number, Sr; Dufour number, Df; Lewis number, Le; bioconvection Lewis number, Lb; bioconvection Peclet number, Pe; Hartmann number, Ha2; thermal radiation parameter, Rd; and buoyancy numbers, N1, N2) are presented graphically for both assisting and opposing flow. Comparisons with available literature show great agreement among results. The effects of physical parameters on Nusselt number, Sherwood number, and density of motile microorganisms are also presented. It is observed that diffusion-thermo (Dufour) and thermal-diffusion (Soret) effects on temperature, concentration, and microorganism profile distributions are quite opposite.

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