MATHEMATICAL MODELING OF BLOOD FLOW AND HEAT TRANSFER IN THE HUMAN CARDIOVASCULAR SYSTEM

Abstract

This research work focus on the mathematical modeling of blood flow and heat transfer impacts in the human cardiovascular system with pulsation and time dependent thermal conductivity. The effects of blood flow and heat transfer with time dependent thermal conductivity in the human cardiovascular system under a closed watch of an external magnetic field is mathematically analyzed. The governing equations subject to the boundary conditions is solved using parameter expanding method and eigenfunction expansion technique. We examine the properties of the fluid dynamical factors of the model equations and provide graphical summaries of the system responses. It is observed that the influence of hematocrit, magnetic field and the shape of artery have important impact on the velocity profile, pressure gradient and wall shear stress. Moreover, the effect of primary stenosis on the secondary one has been significantly observed