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2.4 CONCLUSION
The blood flow in an arterial segment with multiple stenoses has been
studied in this analysis by modeling blood as a Herschel-Bulkley fluid.
The numerical simulation shows that the rheological parameters, height
of stenosis, yield stress of the fluid, and externally used magnetic field
strongly influence the flow characteristics qualitatively and quantitatively.
Especially, the externally imposed magnetic field takes a commendable
role to reduce the shear stress of blood with increasing flow velocity in
an atherosclerotic artery. The flow of blood is sharper in the constricted
channels. Thus, this study is more useful for the purpose of simulation and
validation of different models in different conditions of arteriosclerosis.
Thus, the model developed in this chapter will throw light on the clinical
treatment of the obstruction of fluid movement due to the formulation of
multiple stenoses in the arterial system and may reduce some of the major
complications for the development of ischemia blood pressure, hyperten-
sion, and coronary thrombosis.
KEYWORDS
Blood flow
Herschel Bulkely fluid model
MHD effect
Skin friction
Shear stress
Velocity
REFERENCES
1. Whitmore, R. L.; Rheology of the Circulation. xii +, New York: Oxford Pergamon
Press; 1968 .
2. Mondal, P. K.; An unsteady analysis of non-Newtonian blood flow through tapered
arteries with a stenosis. Int. J Non-Linear Mech . 2005, 40, 151-164.
3. Nanda, S.; and Bose, R. K.; Mathematical analysis on blood flow through a flexible
stenosed artery. Int. J. Civil Mech. Eng. 2012, 2, 17-30.
4. Walters, K.; Second Order Effects in Elasticity, Plasticity, and Fluid Dynamics. xxii+ .
New York: Oxford Pergamon Press; 1964 .
5. Smith, F.T.; The separation flow through a severely constricted symmetric tube. J.
Fluid Mech . 1979, 90, 725-754.
 
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