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Unsteady squeezed flow and heat transfer of dissipative casson fluid using optimal homotopy analysis method: An application of solar radiation

Adebowale Martins Obalalu, Olusegun Adebayo Ajala, Akintayo Oladimeji Akindele, Olayinka Akeem Oladapo, Adepoju Okunloye, Muinat Oluwatosin Jimoh

2021Partial Differential Equations in Applied Mathematics30 citationsDOIOpen Access PDF

Abstract

The unsteady squeezed flow of two-dimensional MHD conducting non-Newtonian fluid in the presence of solar radiation is exemplified theoretically and numerically. Physically, to minimize the energy used in the solar system, we need to monitor the processes of heat and mass transfer in the solar radiation process. In this problem, we considered the dynamics of viscosity, heat, and mass diffusivity as temperature-dependent variables. The model, which is governed by the system of PDEs, accomplishes by the Optimal Homotopy Analysis Method (OHAM). In the limiting sense, validation of the numerical results plays favorably when compared with the existing literature. As a result of the analysis, the following observations are made. We observed that the presence of squeeze numbers plays an important role and the rise in the Squeezing parameter increases the fluid temperature. The higher values of variable viscosity have a significant influence on skin friction. Also, this article includes some future recommendations.

Topics & Concepts

Homotopy analysis methodDissipative systemHeat transferMechanicsThermal radiationViscosityMagnetohydrodynamicsFluid dynamicsHomotopyMass transferFlow (mathematics)PhysicsThermodynamicsClassical mechanicsMathematicsPlasmaPure mathematicsQuantum mechanicsNanofluid Flow and Heat TransferRheology and Fluid Dynamics StudiesHeat Transfer Mechanisms