This article is cited in 7 papers

Analysis of the mhd flow of immiscible fluids with variable viscosity in an inclined channel

P. K. Yadav, A. C. Verma

Motilal Nehru National Institute of Technology Allahabad, Prayagraj, India

Abstract: The aim of the present work is to examine the flow of electrically conducting immiscible Newtonian fluids with variable viscosity through an inclined channel under the influence of a magnetic field. The flow is generated because of a constant pressure gradient. The flow in an inclined channel is governed by the Navier–Stokes equations. Analytical expressions for the velocity, flow rate, and stress are derived. The influence of various parameters of the problem on the flow characteristics is analyzed.

Keywords: Navier–Stokes equations, immiscible Newtonian fluids, variable viscosity, Hartmann number, magnetohydrodynamics (MHD).

UDC: 532.5

Received: 22.04.2022
Revised: 18.01.2023
Accepted: 27.02.2023

DOI: 10.15372/PMTF202215129

 English version: Journal of Applied Mechanics and Technical Physics, 2023, 64:4, 618–627

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