The Effects of Post-Stenotic Dilatations on the Flow of Couple Stress Fluid through Stenosed Arteries
- 1 Department of Mathematics, School of Technology, GITAM University, Hyderabad, India
- 2 Department of Mathematics, School of Technology, GITAM University, Hyderabad, India
- 3 Department of Mathematics, School of Technology, GITAM University, Hyderabad, India
Abstract
The flow of incompressible couple stress fluid in a circular tube with stenosis and dilatations has been investigated. The stenosis was assumed to be axially symmetric and mild. The flow equations have been linearized and the expressions for the resistance to the flow, velocity, pressure drop, wall shear stress have been derived. The effects of various parameters on these flow variables have been investigated. It is found that the resistance to the flow and pressure drop increase with height of the stenosis and decrease with post stenotic dilatation. Pressure drop decreases with couple stress fluid parameter for both stenosis and post stenotic dilatation. Further, the wall shear stress increases with height of the stenosis and couple stress parameter but decreases with post stenotic dilatation and couple stress fluid parameter.
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