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Impacts of thermal radiation, viscous dissipation, ohmic heating, and diffusion‐thermo effects on unsteady MHD free convective rotating flow of second‐grade fluid with Hall and ion‐slip currents

N. Kanimozhi, R. Vijayaragavan, Karthikeyan Shanmugam

2022Heat Transfer11 citationsDOI

Abstract

Abstract An investigation has been carried out to study the combined impacts of thermal radiation, viscous dissipation, ohmic heating, and diffusion thermo on unsteady MHD natural convective rotating second‐grade fluid past a semi‐infinite vertical plate with Hall and ion‐slip currents. In this study, velocity slip boundary conditions are considered. To enhance the energy equation by incorporating the effects of thermal radiation, viscous dissipation, ohmic heating, and diffusion thermo. The governing partial differential equations are converted into ordinary differential equations by using suitable nondimensional variables to solve these equations analytically, thereby adopting the familiar perturbation technique. The impacts of relevant parameters on velocity, temperature, and concentration are illustrated diagrammatically and explained in detail. Shear stress, Nusselt number, and Sherwood number are also calculated for engineering purposes and are expressed in a tabular form. Moreover, it is revealed that escalating the second‐grade fluid lessens the velocity profile while the opposite trend is seen for the diffusion‐thermo parameter. It is noted that the thermal radiation and diffusion thermo enhance the thermal boundary layer, while the opposite trend is seen for the Prandtl number. Both the velocity as well as the concentration profile decreases while escalating the chemical reaction. It is also noted that the skin friction lessens while increasing the second‐grade fluid parameter. Nusselt number attains the peak value while increasing the Prandtl number. Sherwood number enhances when escalating the Schmidt number and chemical reaction parameter. Our results were correlated with previously published results and it is found to be in good agreement.

Topics & Concepts

Nusselt numberPrandtl numberSherwood numberMechanicsJoule heatingBoundary layerSchmidt numberThermodynamicsSlip (aerodynamics)MagnetohydrodynamicsConvectionPhysicsChemistryClassical mechanicsMaterials scienceReynolds numberMagnetic fieldComposite materialQuantum mechanicsTurbulenceNanofluid Flow and Heat TransferFluid Dynamics and Turbulent FlowsHeat Transfer Mechanisms