A non-homogeneous constitutive model for human blood. Part 1. Model derivation and steady flow

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dc.contributor.authorMoyers-Gonzalez, M.
dc.contributor.authorOwens, R.G.
dc.contributor.authorFang, J.F.
dc.date.accessioned2010-01-13T22:29:00Z
dc.date.available2010-01-13T22:29:00Z
dc.date.issued2008en
dc.description.abstractThe 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.en
dc.identifier.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.en
dc.identifier.doihttps://doi.org/10.1017/S002211200800428X
dc.identifier.issn0022-1120
dc.identifier.urihttp://hdl.handle.net/10092/3384
dc.language.isoen
dc.publisherUniversity of Canterbury. Mathematics and Statisticsen
dc.rights.urihttps://hdl.handle.net/10092/17651en
dc.subject.marsdenFields of Research::290000 Engineering and Technology::291800 Interdisciplinary Engineering::291801 Fluidisation and fluid mechanicsen
dc.subject.marsdenFields of Research::230000 Mathematical Sciences::230100 Mathematicsen
dc.titleA non-homogeneous constitutive model for human blood. Part 1. Model derivation and steady flowen
dc.typeJournal Article
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