Mathematical analysis of unsteady MHD blood flow through parallel plate channel with heat source

Document Type : Original Article

Author

Basic Engineering Sciences Department, Faculty of Engineering, Elmenoufia University, Egypt.

Abstract

Abstract
In the present study, a mathematical model of unsteady blood flow
through parallel plate channel under the action of an applied constant
transverse magnetic field is proposed. The model is subjected to heat source.
Analytical expressions are obtained by choosing the axial velocity;
temperature distribution and the normal velocity of the blood depend on y
and t only to convert the system of partial differential equations into system
of ordinary differential equations under the conditions defined in our model.
The model has been analyzed to find the effects of various parameters such
as, Hartmann number, heat source parameter and prandtl number on the
axial velocity, temperature distribution and the normal velocity. The
numerical solutions of axial velocity, temperature distributions and normal
velocity are shown graphically for better understanding of the problem.
Hence, the present mathematical model gives a simple form of axial velocity,
temperature distribution and normal velocity of the blood flow so that it will
help not only people working in the field of Physiological fluid dynamics but
also to the medical practitioners.

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