MHD Heat and Mass Transfer Steady Flow of a Convective Fluid Through a Porous Plate in The Presence of Multiple Parameters

Authors

  • Obulesu Mopuri Department of Mathematics, Siddharth Institute of Engineering and Technology, Putturu-517583, A. P., India
  • Charankumar Ganteda Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Guntur, India
  • Bhagyashree Mahanta Department of Mathematics, Dibrugarh University, Dibrugarh-786004, Assam, India
  • Giulio Lorenzini University of Parma, Department of Engineering and Architecture, Parco Area delle Scienze 181/A, Parma 43124, Italy

DOI:

https://doi.org/10.37934/arfmts.89.2.5675

Keywords:

MHD, thermo-diffusion, heat source or heat sink, porous medium and Joule effect

Abstract

The main aim of this investigation is to study thermo diffusion, heat source/sink, Joule and chemical effects on heat transfer in MHD mixed convection flow and mass transfer past an infinite vertical plate with ohmic heating and viscous dissipation have been studied. We consider the mixed convection flow of an incompressible and electrically conducting viscous fluid such that x* -axis is taken along the plate in upward direction and y* -axis is normal to it. A transverse constant magnetic field is applied i.e., in the direction of y*-axis. Approximate solutions have been derived for velocity, temperature, concentration profiles, skin friction, rate of heat transfer and rate of mass transfer using perturbation technique. The obtained results are discussed with the help of graphs to observe the effect of various parameters like Grashof number (Gr), the modified Grashof number (Gm), magnetic parameter (M), Permeability parameter(K), Prandtl number (Pr), Heat Sink(Q), Radiation Parameter (F), Soret parameter (S0), Eckert number (E),Schmidt number(Sc) and Chemical reaction parameter(K0) taking two cases viz. Fluid velocity, temperature and concentration profiles are comparison with Pr=0.71(Air) and Pr =7 (Water) various parameters in cooled and heated plates. Case I: when Gr > 0 (flow on cooled plate), and Case II: Gr < 0, (flow on heated plate). Both the fluid velocity and concentration rising with the increment values of Soret parameter in the fluids Air and Water and also discussed skin friction, Nusselt number and Sherwood number in the fluid’s mercury, electrolytic solution, air and water. The novelty of this study is the consideration of simultaneous occurrence of radiation, heat absorption as well as thermo- diffusion in the magnetic field. It varies in several aspects such as non-dimensional parameters, analytical solutions, and graphical solutions, the analytic solution using the Perturbation technique, and numerical solution using Matlab software for the profile.

Author Biographies

Obulesu Mopuri, Department of Mathematics, Siddharth Institute of Engineering and Technology, Putturu-517583, A. P., India

mopuriobulesu1982@gmail.com

Charankumar Ganteda, Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Guntur, India

charankumarganteda@kluniversity.in

Bhagyashree Mahanta, Department of Mathematics, Dibrugarh University, Dibrugarh-786004, Assam, India

bhagyashree0694@gmail.com

Giulio Lorenzini, University of Parma, Department of Engineering and Architecture, Parco Area delle Scienze 181/A, Parma 43124, Italy

giulio.lorenzini@unipr.it

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Published

2022-01-01

How to Cite

Obulesu Mopuri, Charankumar Ganteda, Bhagyashree Mahanta, & Giulio Lorenzini. (2022). MHD Heat and Mass Transfer Steady Flow of a Convective Fluid Through a Porous Plate in The Presence of Multiple Parameters. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 89(2), 56–75. https://doi.org/10.37934/arfmts.89.2.5675

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