Partial Differential Equations in Applied Mathematics (Dec 2021)

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

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

Journal volume & issue
Vol. 4
p. 100146

Abstract

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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.

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