Jeffery-Hamel Flow in Conducting Nanofluid: Non-Darcy model

Abstract

The Jeffery-Hamel flow of magnetized nanoparticles saturated with porous matrix is inspected. Nanotechnology has provided exciting new materials for enhancing engineering devices, including electromagnetic permeable nanofluids. The Darcy-Forchheimer model is employed to define the porous medium. The performance of both metallic and oxide nanoparticles is studied as they are dropped in water, which is a base fluid. The homogenous Tiwari-Das model is adopted. The governing conservation equations are solved using the MATLAB bvp4c shooting method. Verification of earlier solutions for the clear fluid without the porous matrix is conducted. Graphical visualization of the velocity is conferred for the impact of various parameters such as using different nanoparticles, solid volume fraction, Hartmann and Reynolds numbers, angle between the two plates, porous parameter, and inertial parameter. It is found that the silicon oxide nanoparticle produces the optimal velocity, and the silver nanoparticle gives the minimum velocity. Upon increasing the solid volume fraction, the flow is reduced, and the presence of porous matrix does not alter the flow remarkably.