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Two-layered model of blood flow through stenosed arteries. (English) Zbl 0868.76106
We investigate a two-layered mathematical model of blood flow through an artery provided with a cosine-shaped constriction. The model consists of a peripheral plasma layer free from red cells and a core region represented by a Casson fluid. The theoretical results obtained are the expressions for wall shear stress and pressure drop for variable plasma layer thickness. The effect of the variable plasma layer thickness on the flow characteristics has been shown graphically for different parameter values.
MSC:
76Z05Physiological flows
76V05Interacting phases (fluid mechanics)
76A05Non-Newtonian fluids
References:
[1]Bugliarello, G., Sevilla, J.: Velocity distribution and other characteristics of steady and pulsatile blood flow in finite glass tubes. Biorheology7, 85-107 (1970).
[2]Scott Blair, G. W., Spanner, D. C.: An introduction to biorheology. Amsterdam: Elsevier 1974.
[3]Shukla, J. B., Parihar, R. S., Gupta, S. P.: Effect of peripheral layer viscosity on blood flow through the artery with mild stenosis. Bull. Math. Biol.42, 797-805 (1980).
[4]Shukla, J. b., Parihar, R. S., Gupta, S. P.: Biorheological aspects of blood flow through artery with mild stenosis; effects of peripheral layer. Biorheology17, 403-410 (1980).
[5]Chaturani, P., Samy, R. P.: A two layered model for blood flow through stenosed arteries: In: Proceedings of 11th National Conference on Fluid Mechanics and Fluid Power, B.H.E.L. (R&D), Hyderabad 1982.