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A non-newtonian herschel-bulkley model for blood flow through a catheterized tapered artery

Author:

Dr. Meena, K., Gayathri, P. and Dr. Subramanian, K. R.

Subject Area:

Physical Sciences and Engineering

Abstract:

The steady flow of through a catheterized tapered artery with a stenosis is analyzed, assuming the blood as a non-Newtonian Herschel-Bulkley fluid. A system of non linear partial differential equations for blood flow of the artery was obtained. The governing equations are solved using calculus method. The width of the plug flow region increases with the increase of the yield stress, and the reverse behavior is noticed when the steady state pressure gradient increases when all the other parameters are kept fixed. It is observed that the velocity and flow rate decrease while the wall shear stress and resistance to flow increase when the yield stress or catheter radius ratio or angle of tapering increases while all the other parameters held fixed.

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