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Numerical computation of joule heating and chemical reaction for the radiated Casson fluid on the slender parabolic surface

T. Salahuddin, Muhammad Awais

2024ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik18 citationsDOI

Abstract

Abstract This work dealing to solve the numerical results of magnetohydrodynamic flow material (Casson fluid) moving over the slender parabolic surface with temperature dependent viscosity. To make the enhancement in the thermal and solutal fields, we have determined the impact of thermal radiation, viscous dissipation, joule heating, and chemical reaction on the considered flow material. Due to huge applications in coating processes and aerodynamic industries, the suction/Injection is assumed at the surface. With the help of assumed assumptions, the governing equations are obtained in partial differential equation forms, and these equations are translated into ordinary differential equations form by using the Levy‐Lee similarity transformations. The translated forms of ODE's are then numerically solved by using the Adams‐Milne (Predictor–Corrector) technique. The graphical and numerical findings are determined by producing the emerging parameters. The decrement in velocity is noted due to fluid parameter and suction coefficient whereas the enhancement happens due to natural convection. The numerical determination of physical quantities including, Nusselt number, Skin friction and Sherwood number are also examined here and compared the findings with two numerical techniques (Adam‐Milnes and Bvp4c method).

Topics & Concepts

Nusselt numberMechanicsJoule heatingPartial differential equationSherwood numberParasitic dragSuctionThermal radiationFlow (mathematics)Numerical analysisClassical mechanicsThermodynamicsMathematicsMaterials sciencePhysicsBoundary layerMathematical analysisReynolds numberComposite materialTurbulenceNanofluid Flow and Heat TransferFluid Dynamics and Turbulent FlowsHeat Transfer Mechanisms
Numerical computation of joule heating and chemical reaction for the radiated Casson fluid on the slender parabolic surface | Litcius