Title: Unsteady flow of hybrid-nanofluid in a non-homogeneous porous medium

Authors: Lalrinpuia Tlau

Addresses: Department of Mathematics, National Institute of Technology Puducherry, Karaikal, 609609, India

Abstract: This paper presents an unsteady flow of a Cu-Ag hybrid nanofluid flowing in a porous regime having variable permeability. The flow is pressure driven as well as time dependent. Two cases of variation in permeability are taken: exponential decay and quadratic growth. To solve the non-linear partial differential equation, a transformation is utilised to get an ordinary differential equation. The homotopy analysis method is then used to solve the governing equation. A reduced form of the equation is solved analytically to verify the obtained solution. The effect of various flow parameters on the flow velocity is shown using a contour plot. Skin friction and volume flow rate are also shown graphically.

Keywords: unsteady; hybrid-nanofluid; variable permeability; porous medium; homotopy analysis method; analytical solution; channel flow; fully developed; no-slip; skin friction.

DOI: 10.1504/IJCSM.2024.137259

International Journal of Computing Science and Mathematics, 2024 Vol.19 No.2, pp.146 - 156

Accepted: 14 Mar 2023
Published online: 08 Mar 2024 *

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