A non-homogeneous constitutive model for human blood. Part 1. Model derivation and steady flow
dc.contributor.author | Moyers-Gonzalez, M. | |
dc.contributor.author | Owens, R.G. | |
dc.contributor.author | Fang, J.F. | |
dc.date.accessioned | 2010-01-13T22:29:00Z | |
dc.date.available | 2010-01-13T22:29:00Z | |
dc.date.issued | 2008 | en |
dc.description.abstract | 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. | en |
dc.identifier.citation | Moyers-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.doi | https://doi.org/10.1017/S002211200800428X | |
dc.identifier.issn | 0022-1120 | |
dc.identifier.uri | http://hdl.handle.net/10092/3384 | |
dc.language.iso | en | |
dc.publisher | University of Canterbury. Mathematics and Statistics | en |
dc.rights.uri | https://hdl.handle.net/10092/17651 | en |
dc.subject.marsden | Fields of Research::290000 Engineering and Technology::291800 Interdisciplinary Engineering::291801 Fluidisation and fluid mechanics | en |
dc.subject.marsden | Fields of Research::230000 Mathematical Sciences::230100 Mathematics | en |
dc.title | A non-homogeneous constitutive model for human blood. Part 1. Model derivation and steady flow | en |
dc.type | Journal Article |
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