4.2 Article

Numerical investigation of non-Darcian nanofluid flow across a stretchy elastic medium with velocity and thermal slips

Journal

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS
Volume 83, Issue 5, Pages 323-343

Publisher

TAYLOR & FRANCIS INC
DOI: 10.1080/10407790.2023.2174624

Keywords

Elastic plane surface; Keller box and finite difference approach; non-Darcy medium; numerical solutions; viscous dissipation

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This article presents a numerical study of non-Darcian nanofluid flow through a stretchable elastic surface. The study considers the fluid's viscosity, electrical conductivity, and propagation through a porous material. Heat radiation, Brownian motion, and viscous dissipation are also taken into account in the flow configuration. Mathematical modeling using similarity variables results in coupled nonlinear differential equations. Numerical solutions are obtained using the Keller-box approach and finite difference scheme in Matlab software. Tables are used to analyze and report physical quantities of interest.
This article deals with the numerical study of the non-Darcian nanofluid flow through a stretchable elastic surface. It is supposed that the viscous fluid is electrically conducting and that it is propagating through a porous material. In the current flow configuration, the implications of heat radiation, Brownian motion, and viscous dissipation are also incorporated. The boundary conditions also take slip velocity and thermal slip into account. The mathematical modeling is accomplished using similarity variables. The differential equations' final forms are nonlinearly coupled. As a result, we developed numerical solutions using the Keller-box approach in association with a finite difference scheme. All the numerical simulations have been developed and performed in Matlab software. Tables are also used to analyze and report physical values of interest such as the local Sherwood number, skin friction coefficient, and Nusselt number.

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