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A study of effects of heat source on MHD blood flow through bifurcated arteries

http://aip.metastore.ingenta.com/content/aip/journal/adva/1/4/10.1063/1.3658616

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### Abstract

An analytical study of effect of heat source on MHDblood 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.

© Copyright 2011 Author(s).

Received 04 June 2011
Accepted 04 September 2011
Published online 26 October 2011

Acknowledgments:
Authors are extremely thankful to referee for providing valuable suggestions to improve the quality of the manuscript.

Article outline:

I. INTRODUCTION
II. MATHEMATICAL FORMULATION
A. Governing equations of flow and solution of the problem
III. RESULTS & DISCUSSIONS
A. Temperature field for the different values of S and Pr
B. Axial velocity for the different values of S, M and Pr
C. Normal velocity for the different values of λ
IV. CONCLUSION

/content/aip/journal/adva/1/4/10.1063/1.3658616

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http://aip.metastore.ingenta.com/content/aip/journal/adva/1/4/10.1063/1.3658616

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2011-10-26

2016-04-30

### Abstract

An analytical study of effect of heat source on MHDblood 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.

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