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JOURNALS // Theoretical and Applied Mechanics // Archive

Theor. Appl. Mech., 2019 Volume 46, Issue 2, Pages 173–189 (Mi tam69)

A paired quasilinearization method for solving the MHD mixed convection flow of a micropolar fluid through a truncated cone in a non-Darcy porous medium

Mekonnen Shiferaw Ayanoa, Sandile Sydney Motsaa, Olumuyiwa Otegbeyeb

a Department of Mathematics, University of Swaziland, Swaziland
b Department of Mathematics, University of KwaZulu-Natal, South Africa

Abstract: The aim of this paper is to investigate the flow, heat and mass transfer through a truncated cone in a non-Darcy porous medium in the presence of a transverse magnetic field by considering chemical reaction and radiation effects where the fluid is micropolar. The nonlinear equations governing the flow are solved using the paired quasilinearization method (PQLM). The study reveals that increasing radiation parameter, mixed convection parameter and Forchheimer number decreases microrotation. It is also noted that an increase in the radiation parameter leads to a corresponding increase in both the velocity and temperature of the fluid.

Keywords: micropolar, non-Darcy, chemical reaction, magnetohydrodynamics (MHD), paired quasilinearization, spectral collocation.

MSC: 76W05, 76U05, 65N35

Received: 10.08.2019
Revised: 22.11.2019

Language: English

DOI: 10.2298/TAM190801011S



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