Abstract
ABSTRACT A two-fluid model of Herschel-Bulkley fluid flow through tubes of small diameters is studied. It is assumed that the core region consists of Herschel-Bulkley fluid and Newtonian fluid in the peripheral region. The analytical solutions for velocity, flow flux, effective viscosity, core hematocrit and mean hematocrit have been derived and the effects of various relevant parameters on these flow variables have been studied. It is found that the effective viscosity, core hematrocit and mean hematrocit for Newtonian fluid is less than that for Bingham fluid, power-law fluid and Herschel Bulkley fluid. It has been observed that the effective viscosity and mean hematocrit increase with yield stress, power-law index, hematocrit and tube radius but the core hematocrit decreases with hematocrit and tube radius. Further, it is also noticed that the flow exhibits the anomalous Fahraeus-Lindqvist effect.
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