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Herschel - Bulkley model for two-phase blood flow in narrow vessel

Das S., Saha G. C.

International Journal of Applied Mechanics and Engineering

2010

Vol. 15, no 1

19-34

A mathematical model for a two-phase blood flow through a circular narrow vessel has been developed by considering blood to be a non-Newtonian liquid of Herschel-Bulkley type and taking into consideration the slip velocity at the wall of the vessel. Analytical expressions for velocities of blood in the peripheral layer and central core layer, flow rate and apparent fluidity of blood have been obtained and their natures are portrayed graphically for different parameters.