DOUBLE DIFFUSIVE MAGNETO-FREE CONVECTION FLOW OF A MAXWELL FLUID OVER A VERTICAL PLATE: SPECIAL FUNCTIONS BASED ANALYSIS USING LOCAL AND NONLOCAL KERNELS TO HEAT AND MASS FLUX SUBJECT TO EXPONENTIAL HEATING

Muhammad Bilal Riaz, Aziz Ur Rehman () and Jan Awrejcewicz ()
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Muhammad Bilal Riaz: Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego, St. 90-924 Lodz, Poland2University of Management and Technology, Lahore 54770, Pakistan
Aziz Ur Rehman: Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
Jan Awrejcewicz: Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego, St. 90-924 Lodz, Poland

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-25

Abstract: The purpose of this research is to analyze the general equations of double diffusive magneto-free convection in a rate type fluid presented in non-dimensional form, and apply to a moving heated vertical plate as in the boundary layer flow up, with existence of externally magnetic fields which are either moving or fixed consistent with the plate. Thermal transport phenomenon is discussed in the presence of constant concentration coupled with first-order chemical reaction with exponential heating. An innovative definition in power law (CF) and Mittag-Leffler (ABC) kernels form time fractional operators are implemented to hypothecate the constitutive mass, heat and momentum equations. The results based on special functions are obtained by using the technique of Laplace transformation to tackle the non-dimensional equations for velocity, mass and energy. The contribution of mass, thermal and mechanical components on the dynamics of fluid is presented and discussed independently. An interesting property regarding the behavior of the fluid velocity is found when the movement is observed in the magnetic intensity along with the plate. In that situation, the fluid velocity is not to be zero when it is far and away from the plate. Moreover, the heat transfer aspects, flow dynamics and their credence on the parameters are drawn out by graphical illustrations along with some special cases for the movement of the plate which are also studied.

Keywords: Double Diffusion; Laplace Transform; Maxwell Fluid; Special Functions; Local and Nonlocal Kernels; Porous Material (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22401570

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