INVESTIGATION OF MASS TRANSFER PHENOMENON IN BIOMAGNETIC FLUID FLOW UNDER STENOTIC CONDITION
By
Subrata Mukhopadhyay
Department of Mathematics, Acharya P. C. Roy Government College, Siliguri-734010, West Bengal, India
Email: subratamath@yahoo.in
(Received: February 04, 2022; Revised: May 20, 2022; Accepted: November 16, 2022)
DOI: https://doi.org/10.58250/jnanabha.2022.52228
Abstract
Initiation and development of atherosclerosis are closely related to the mass transfer mechanism of blood constituents onto the arterial wall. Investigation of mass transfer phenomenon in magnetohydrodynamic ( MHD) flow of blood through a stenosed artery is the objective of this study. Carreau viscosity model is used to describe the non-Newtonian character of streaming blood. Vessel wall flexibility is taken into account. Pulsatile flow of blood is governed by the Navier-Stokes equations along with the mass conservation equation. Mass transfer phenomenon is governed by the convection-diffusion equation coupled with the velocity field. A finite difference scheme is developed and suitable initial and boundary conditions are imposed to solve these non-linear equations. Distributions of several significant wall parameters, such as time-averaged wall shear stress, time-averaged Sherwood number etc. are examined over the entire flow regime with the variations of stenosis height, Hartmann number and Schmidt number. Comparison with the Newtonian fluid for these wall parameters are done. Patterns of stream lines and isoconcentration lines are also shown for additional qualitative insight of the flow-field and concentration-field.
2020 Mathematical Sciences Classification: 76A05, 76W05, 76Z05.
Keywords and Phrases: MHD flow; mass transfer; non-Newtonian fluid; pulsatile flow; stenosed artery