Formerly, Department of Mathematics, Indian Institute of Technology, Kharagpur, West Bengal, India.
MHD flow of blood through a dually stenosed artery: Effects of viscosity variation, variable hematocrit and velocity-slip
Article first published online: 1 MAY 2013
© 2013 Canadian Society for Chemical Engineering
The Canadian Journal of Chemical Engineering
Volume 92, Issue 1, pages 23–31, January 2014
How to Cite
Sinha, A. and Misra, J.C. (2014), MHD flow of blood through a dually stenosed artery: Effects of viscosity variation, variable hematocrit and velocity-slip. Can. J. Chem. Eng., 92: 23–31. doi: 10.1002/cjce.21792
- Issue published online: 3 DEC 2013
- Article first published online: 1 MAY 2013
- Manuscript Accepted: 5 DEC 2012
- Manuscript Revised: 4 DEC 2012
- Manuscript Received: 25 SEP 2012
- double stenoses;
- porous medium;
Of concern in the paper is a study on blood flow through a porous segment of an artery subject to the action of an external magnetic field. Effects of viscosity variation and variable hematocrit as well as velocity-slip at the arterial wall have been duly taken care of in the study. A model has been developed to perform the study by using the principles of magnetohydrodynamics (MHD). The model has been analysed theoretically by employing suitable mathematical methods. Analytical expressions have been derived for the velocity, minute expenditure of blood (volumetric flow rate), wall shear stress and pressure gradient. The said physical variables are computed by using a specific set of values of the various parameters involved in the analysis. This serves as an illustration of the validity of the mathematical model developed in the paper. The computational results are presented graphically. The study also provides important insight into the effects of slip velocity on blood velocity, wall shear stress and pressure gradient. The study further shows that the flow of blood in a porous artery is significantly influenced by the action of an external magnetic field.