Abstract
An analytical study of effect of heat source on MHD blood flow through bifurcated arteries has been done. The blood flowing through arteries is treated to be unsteady Newtonian flow. The coupled linear partial differential equations are solved by converting into ordinary linear differential equations by choosing the axial velocity, normal velocity and temperature field as a functions of y and t along with corresponding boundary conditions. The expressions are obtained for axial velocity, normal velocity and temperature field. The effects of various parameters like Prandtl Number (Pr), Heat Source Parameter (S) and Magnetic Field (M) on axial velocity, normal velocity and temperature field are investigated. It was found that heat source and magnetic field modify the flow patterns and increase the temperature of the blood.
Highlights
The literature of biomathematics has provided huge number of applications in medicine and biology
A mathematical model for biomagnetic fluid dynamics, suitable for the description of the Newtonian blood flow under the action of an applied magnetic field has been proposed by Tzirtzilakis.[15]
A mathematical model describing the dynamic response of heat and mass transfer in blood flow through bifurcated arteries under stenotic conditions has been proposed by Chakravarty and Sen.[4]
Summary
The literature of biomathematics has provided huge number of applications in medicine and biology. A mathematical model describing the dynamic response of heat and mass transfer in blood flow through bifurcated arteries under stenotic conditions has been proposed by Chakravarty and Sen.[4] Obdulia and Taehong Kim[11] presented calculations of the temperature distributions in an atherosclerotic plaque experiencing an inflammatory process; it analyzes the presence of hot spots in the plaque region and their relationship to blood flow, arterial geometry, and inflammatory cell distribution. Suri and Suri[14] analyzed a bifuration model to study the magnetic field on the nature of local disturbances and high shear forces which causes certain cardiovascular lesions like atherosclerotic plaques, aneurysms and intimal cushions etc. They considered the flow in a twodimensional bifurcation with a symmetrical flow divider perfused with steady flow at variable Reynolds numbers
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