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Modelling the Fahraeus-Lindqvist effect through fluids of differential type. (English) Zbl 0637.76139
A steady laminar flow under a constant pressure gradient in a tube of radius b, with core consisting of a non-Newtonian fluid and the periphery a Newtonian fluid, is considered. The calculations qualitatively agree with the experimentaly observed phenomena, namely the Fahraeus-Lindqvist effect. An empirical formula for blood viscosity is deduced. Giving different values to the flow parameters graphs are drawn for apparent viscosity against tube radius and agree well with the experimental result. Is is found that the velocity reduces in magnitude and its profile becomes blunt in the core when compared with the corresponding profile for the Newtonian fluid.
MSC:
76Z05Physiological flows
76M99Basic methods in fluid mechanics
92C50Medical applications of mathematical biology