A non-homogeneous constitutive model for human blood. Part 1. Model derivation and steady flow (2008)
AuthorsMoyers-Gonzalez, M., Owens, R.G., Fang, J.F.show all
The earlier constitutive model of Fang & Owens (Biorheology, vol. 43, 2006, p. 637) and Owens (J. Non-Newtonian Fluid Mech. vol. 140, 2006, p. 57) is extended in scope to include non-homogeneous flows of healthy human blood. Application is made to steady axisymmetric flow in rigid-walled tubes. The new model features stress-induced cell migration in narrow tubes and accurately predicts the Fahraeus-Lindqvist effect whereby the apparent viscosity of healthy blood decreases as a function of tube diameter in sufficiently small vessels. That this is due to the development of a slippage layer of cell-depleted fluid near the vessel walls and a decrease in the tube haematocrit is demonstrated from the numerical results. Although clearly influential, the reduction in tube haematocrit observed in small-vessel blood flow (the so-called Fahraeus effect) does not therefore entirely explain the Fahraeus-Lindqvist effect.
CitationMoyers-Gonzalez, M., Owens, R.G. , Fang, J.F. (2008) A non-homogeneous constitutive model for human blood. Part 1. Model derivation and steady flow. Journal of Fluid Mechanics, 617, pp. 327-354.
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