Mathematical analysis of Casson fluid model for blood rheology in multiple stenosed artery with body force

Abstract

In the present study, a mathematical model is developed to study the flow of blood through a multi-stenosed artery under the influence of applied magnetic field and body force. Blood is considered as Casson fluid to represent the Non-Newtonian character of blood in narrow artery. The analytical expressions have been derived for axial velocity, core velocity, volumetric flow rate and wall shear stress. Sometimes due to the magnetic field, velocity reduces and needs simultaneously to increase the same. In such case appropriate body force may be apply for adjusting the flow parameters. The effect of various parameters such as stenosis height, magnetic field intensity, body force and shape parameter on blood flow through stenosed artery are examined numerically and shown graphically. The work may be useful to explore a variety of information regarding some phenomenological aspects of physiological problem.