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.
Citation:
P. K. Yadav, A. C. Verma, “Analysis of the mhd flow of immiscible fluids with variable viscosity in an inclined channel”, Prikl. Mekh. Tekh. Fiz., 64:4 (2023), 76–86; J. Appl. Mech. Tech. Phys., 64:4 (2023), 618–627
\Bibitem{YadVer23}
\by P.~K.~Yadav, A.~C.~Verma
\paper Analysis of the mhd flow of immiscible fluids with variable viscosity in an inclined channel
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2023
\vol 64
\issue 4
\pages 76--86
\mathnet{http://mi.mathnet.ru/pmtf1675}
\crossref{https://doi.org/10.15372/PMTF202215129}
\elib{https://elibrary.ru/item.asp?id=54283713}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2023
\vol 64
\issue 4
\pages 618--627
\crossref{https://doi.org/10.1134/S0021894423040077}
Linking options:
https://www.mathnet.ru/eng/pmtf1675
https://www.mathnet.ru/eng/pmtf/v64/i4/p76
This publication is cited in the following 6 articles:
Amit Kumar Verma, “Numerical investigation of unsteady magnetohydrodynamic flow of a Newtonian fluid with variable viscosity in an inclined channel”, Physics of Fluids, 37:1 (2025)
Fetecau Constantin, Moroşanu Costică, “General Solutions for MHD Motions of Viscous Fluids with Viscosity Linearly Dependent on Pressure in a Planar Channel”, IgMin Res, 3:2 (2025), 104
Komal Goyal, Suripeddi Srinivas, “Two-layered magnetohydrodynamics of immiscible pulsatile flow in corrugated curved channel”, International Journal of Modelling and Simulation, 2024, 1
Selvi Ramasamy, Satyendra Singh Chauhan, “Creeping flow of a couple stress fluid past a semipermeable spherical particle consisting of a solid core: magnetic field effect”, J Braz. Soc. Mech. Sci. Eng., 46:8 (2024)
Himanshu, Gurpreet Singh Bhatia, Rajesh Kumar Chandrawat, “Investigation of micropolar dusty fluid flow in a rotational frame with magnetic field: A meshless radial basis function pseudospectral approach”, Z Angew Math Mech, 2024
Ahmed G Salem, “Influence of interface on nondeformable micropolar drop migration”, Fluid Dyn. Res., 56:6 (2024), 065502