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Transient MHD flows through an exponentially accelerated isothermal vertical plate with Hall effect and chemical reaction effect: FEM

P. Megaraju, Siva Reddy Sheri, Raja Shekar M.N.

2021Partial Differential Equations in Applied Mathematics15 citationsDOIOpen Access PDF

Abstract

In this article, we analyze the transient MHD current of an exponentially accelerated isothermal vertical plate with Hall current and chemical reaction effects, and use the finite element method to solve the dimensionless equation under appropriate initial and boundary conditions. The Galerkin finite element method is used for numerical solution. It is a powerful and stable technology that provides excellent convergence and is suitable for processing coupled systems with partial differential equations. The influence of various suitable parameters on the flow field on the boundary layer has been shown graphically. In the presence of various relevant parameters, Nusselt number (Nu) and Sherwood number (Sh) are discussed and given in table form. These results are in good agreement with previously published reports. These results are useful in fields related to heat and mass transfer research.

Topics & Concepts

Finite element methodMagnetohydrodynamicsMechanicsMass transferSherwood numberNusselt numberIsothermal processPartial differential equationTransient (computer programming)Dimensionless quantityPhysicsMathematicsMagnetic fieldThermodynamicsMathematical analysisComputer scienceReynolds numberOperating systemTurbulenceQuantum mechanicsNanofluid Flow and Heat TransferHeat Transfer and OptimizationHeat Transfer Mechanisms
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