Modelling Blood Flow and Heat Transfer in The Cardiovascular System of Human Undergoing Tumor Treatment

Abstract

This paper presents a theoretical study of blood flow and heat transfer in the cardiovascular system of human undergoing tumor treatment under the action of an externally applied magnetic field. The fluid (blood) medium is assumed to be porous in nature. The variable viscosity of blood depending on hematocrit is taken into account in order to improve resemblance to the real situation. The temperature-dependent blood thermal conductivity is considered. The transient governing equations for laminar, incompressible Newtonian fluid and heat transfer is solved by using Olayiwola’s Generalized Polynomial Approximation Method (OGPAM). The solutions are obtained for flow velocity and heat transfer in both tissue and blood. The computations were done using Computer Symbolic Algebraic Package MAPLE 17 version and the results are presented graphically. It is observed that the influence of hematocrit, magnetic field, permeabilty parameter, Reynolds number and Pressure gradient have important impact on the velocity profile. Moreover, the effect of Peclet number, pressure gradient and per fusion mass flow rate on the tissue and blood temperature profiles has been significantly observed. It can be concluded from the results obtained that the flow of blood can be controlled by the application of an external magnetic field.