Analysis of Periodic Permeability on Free Convective Three-Dimensional Flow with Cattaneo-Christov heat transfer and Slip Effect

Atifa Latif; Muhammad Usama Arshad; Muhammad Shoaib

Authors

Atifa Latif Department of Mathematics, GC University Faisalabad
Muhammad Usama Arshad Department of Mathematics, GC University Faisalabad
Muhammad Shoaib Department of Mathematics, GC University Faisalabad

Keywords:

Cattaneo-Christov heat transfer, Free convective, Periodic Permeability, Slip Effect, Perturbation Method

Abstract

The present research paper contributes the slip effects on a three-dimensional viscous fluid flow for free convective boundary conditions with periodic permeability. Free convection fundamentally involves some heat transfer methods. In this work, the Cattaneo-Christov heat transfer method has been employed to develop the knowledge of heat transfer actions in complex flow porous system with periodic permeability. Moreover, the impact of the slip effect is investigated to more effectively deal with the boundary conditions. The mathematical model has designed for incompressible, viscous and laminar flow with free stream specifications. By using the regular perturbation approach, governing highly nonlinear partial differential equations are transferred into the ordinary differential equations in linear form together with certain linear partial differential equations. The separation variables approach is then used for transforming the linear PDEs to ODEs. Analytical solutions are obtained for the pressure, velocity field, components of skin friction, and temperature field. The influence of physical attributes existing in the mathematical representation of the physical occurrence is investigated and illustrated. Both the slip parameter and the Cattaneo-Christov heat flux have an impact of thickness on the thermal boundary layer of observed fluid flow.

Author Biography

Muhammad Usama Arshad, Department of Mathematics, GC University Faisalabad

Research Student

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