Effect of a magnetic field on the flow and blood oxygenation in channels of variable cross-section
type: Item
instance of: scholarly article
title: Effect of a magnetic field on the flow and blood oxygenation in channels of variable cross-section
zbMATH Open document ID: 0575.76129
DOI: 10.1016/0020-7225(85)90034-5
author: K. S. Deshikachar
author: Adabala Ramachandra Rao
published in: International Journal of Engineering Science
publication date: 1985-01-01T00:00:00Z
review text: The effect of a magnetic field on the flow and oxygenation of an incompressible Newtonian conducting fluid in channels with irregular boundaries has been investigated. The geometric parameter \(\delta\), which is a ratio of the mean half width of the channel d to the characteristic length \(\lambda\) along the channel over which the significant changes in the flow quantities occur, has been used for perturbing the governing equations. Closed form solutions of the various order equations are presented for the stream function. The equations for oxygen partial pressure remain nonlinear even after perturbation, therefore a numerical solution is presented. The expressions for shear stress at a wall and pressure distributions are derived. Here the separation in the flow occurs at a higher Reynolds number than the corresponding non-magnetic case. It is found that the magnetic field has an effect on local oxygen concentration but has a little effect on the saturation length.
Mathematics Subject Classification ID: 76Z05
Mathematics Subject Classification ID: 92Cxx
zbMATH DE Number: 3920148
zbMATH Keywords: blood
zbMATH Keywords: effect of a magnetic field
zbMATH Keywords: oxygenation
zbMATH Keywords: incompressible Newtonian conducting fluid
zbMATH Keywords: channels with irregular boundaries
zbMATH Keywords: Closed form solutions
zbMATH Keywords: numerical solution
MaRDI profile type: Publication
full work available at URL: 0020-7225(85)90034-5
OpenAlex ID: W1999188560
cites work: Low Reynolds number flow in slowly varying axisymmetric tubes
cites work: Unsteady viscous flow in a pipe of slowly varying cross-section
cites work: FLOW THROUGH CONSTRICTED OR DILATED PIPES AND CHANNELS: PART 1
cites work: The separating flow through a severely constricted symmetric tube
cites work: Viscous flow through unsteady symmetric channels
cites work: PULSATILE FLOW THROUGH CONSTRICTED OR DILATED CHANNELS
cites work: Effect of static magnetic field on blood flow in a branch
cites work: MHD flow through a channel of varying gap
cites work: A simple demonstration of the Hartmann layer
cites work: Q5810374
Recommended article: Effect of a magnetic field on blood flow through an indented tube in the presence of erythrocytes
Recommended article: Q4719926
Recommended article: Peristaltic flow of blood under effect of a magnetic field in non-uniform channels
Recommended article: Q4319433
Recommended article: Q4887188
Recommended article: Q5005372
Recommended article: Q4919081
Recommended article: Blood Flow Behaviour in a Straight Vein under the Influence of a Magnetic Field
Recommended article: Q5306959
Recommended article: Influence of magnetic field and Hall currents on blood flow through a stenotic artery
description: scientific article; zbMATH DE number 3920148