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Transient MHD Free Convection Flow, Heat and Mass Transfer in Darcy–Forchheimer Porous Medium in the Presence of Chemical Reaction and Heat Absorption with Soret and Dufour Effects: Element-Free Galerkin Modelling

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Abstract

The effects of diffuso-thermal (Dufour effect) and thermo-diffusion gradients (Soret effect) on the magneto-hydrodynamic (MHD) unsteady incompressible free convection flow with heat and mass transfer past a semi-infinite vertical porous plate in a Darcy–Forchheimer porous medium in the presence of heat absorption and first order homogenous chemical reaction are analyzed. The governing mathematical model is nondimensionalized using a similarity transformation rendering a system of nonlinear coupled partial differential equations. The nondimensional governing equations along with the boundary conditions are solved by using element-free Galerkin method. The effect of different pertinent flow parameters on velocity, temperature, and concentration distributions and the numerical outcomes are examined and revealed graphically. The velocity of fluid flow is enhanced with weak chemical action. The heat absorption effect reduces the temperature and hence, useful to control the temperature in many chemical engineering applications. A rise in dufour number with simultaneously reducing the soret number (to ensure that the product of soret and dufour numbers remains constant), boots up the temperature of fluid in the porous medium. The heat transfer rate increases with higher chemical reaction parameter and also with an increase in heat absorption parameter. Thus, fast chemical reaction rate and heat absorption parameter can be used to enhance heat transfer rate in many industrial problems.

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  1. Department of Mathematics, Institute of Technology, Nirma University, 382481, Ahmedabad, Gujarat, India

    Rajesh Sharma

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Sharma, R. Transient MHD Free Convection Flow, Heat and Mass Transfer in Darcy–Forchheimer Porous Medium in the Presence of Chemical Reaction and Heat Absorption with Soret and Dufour Effects: Element-Free Galerkin Modelling. Math Models Comput Simul 15, 357–372 (2023). https://doi.org/10.1134/S2070048223020151

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