Theses and Dissertations

Date of Award


Document Type


Degree Name

Master of Science (MS)



First Advisor

Dr. Dambaru Bhatta

Second Advisor

Dr. Andras Balogh

Third Advisor

Dr. Paul Bracken


We consider blood flow through an artery in the form of a cylindrical pipe in the presence of a stenosis. Here blood is treated as an incompressible, viscous and non-Newtonian Bingham plastic fluid. We derive the equation of continuity and the momentum equation which are obtained using mass conservation law and momentum conservation law, respectively. Assuming that the flow is due to the pressure drop and wall shear stress, we derive the expressions for the velocity component in the axial direction and the volumetric flow rate in an artery. Computational results for the axial velocity and flow rate are obtained using MATLAB and presented in tabular and graphical forms to analyze the effects of the slip velocity, pressure difference, yield stress, and stenosis height. Results obtained through our computations indicate that dependent variables (axial velocity and flow rate) increase with the increase in pressure difference and decrease with the increase in yield stress. As stenosis height increases, the dependent variables display a decrease. Both the dependent variables are minimum when the stenosis height is maximum. Increasing the slip velocity enhances the axial velocity and the flow rate.


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