Mathematical Analysis of Unsteady MHD Blood Flow through Parallel Plate Channel with Heat Source

Islam M. Eldesoky

Basic Engineering Sciences Department, Faculty of Engineering, Elmenoufia University, Shibin El Kom, Egypt.

DOI: 10.4236/wjm.2012.23015                

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.

Keywords

Blood Flow; Parallel Plate Channel; Boundary Layer; Heat Source; Magnetic Field

Conflicts of Interest

The authors declare no conflicts of interest.

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