Pulsatile flow of blood through a uniform artery in the presence of a mild stenosis has been investigated in this paper. Blood has been represented by a Newtonian fluid. This model has been used to study the influence of body acceleration and a velocity slip at wall, in blood flow through stenosed arteries. By employing a perturbation analysis, analytic expressions for the velocity profile, flow rate, wall shear stress and effective viscosity, are derived. The variations of flow variables with different parameters are shown diagrammatically and discussed. It is noticed that velocity and flow rate increase but effective viscosity decreases, due to a wall slip. Flow rate and speed enhance further due to the influence of body acceleration. Biological implications of this modeling are briefly discussed.
Biswas, Devajyoti and Chakraborty, Uday Shankar
Pulsatile Flow of Blood in a Constricted Artery with Body Acceleration,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 4,
2, Article 8.
Available at: https://digitalcommons.pvamu.edu/aam/vol4/iss2/8