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COMPUTATION OF BLOOD FLOWS ACCOUNTING FOR RED-BLOOD CELL AGGREGATION/FRAGMENTATION

A. S. Kane
Dept. of Mathematics and Statistics University of Ottawa Ottawa ON, K1N 6N5 Canada

Yves Bourgault
Department of Mathematics and Statistics University of Ottawa 585 King Edward, Ottawa, Ontario K1N 6N5 Canada

A. Iolov
Dept. of Mathematics and Statistics University of Ottawa Ottawa ON, K1N 6N5 Canada

R. G. Owens
Dép. de mathématiques et de statistique Université de Montréal Montréal QC, H3C 3J7 Canada

A. Fortin
Dép. de mathématiques et de statistique Université Laval Québec QC, G1V 0A6 Canada

Аннотация

This article presents flows computed in non-trivial geometries while accounting for the contribution of the red cells to the Cauchy stress using the haemorheological model of Owens (2006), Owens and Fang (2006). In this model the local shear viscosity is determined in terms of both the local shear rate and the average rouleau size, with the latter being the solution of an advection-reaction equation. The model describes the viscoelastic, shear-thinning and hysteretic behaviour of flowing blood, and includes non-local effects in the determination of the blood viscosity and stresses. We present numerical results for a two dimensional aneurytic channel under both steady and pulsatile flow conditions. We compare the flows for two sets of physiologically relevant Reynolds and Deborah numbers. A 3-D flow in a section of a patientspecific carotid artery is also presented.