Geodesic
Reduced models for blood flow in curved vessels
S. Balbis1 ; L. Formaggia2 ; G. Pontrelli3 ; C. Guiot1
1 University of Torino, Neuroscience Dep., C.so Raffaello, 30, 10125 Torino, Italy.
2 MOX, Mathematics Department, Politecnico di Milano, Italy.
3 Istituto per le Applicazioni del Calcolo - CNR, Viale del Policlinico, 137, 00161 Roma, Italy.
ESAIM. Proceedings, Tome 14 (2005), pp. 14-24.

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Flow in curved pipes has been intensively investigated and applications to arterial flow are relevant both in physiological and pathological conditions. A comprehensive survey of the work developed over almost one century from experimental and modelling point of view is carried out. Despite its complex nature, the 3D curved flow can be modeled, under reasonable assumptions, accounting only for 2, or even 1, geometrical dimensions. A couple of different reduced models are presented and discussed here. Results of numerical simulations demonstrate the role of curvature in the formation of the secondary flow patterns and in the asymmetry of wall shear stresses. Both the above features can have important haemodynamical effects and clinical diagnostic velocimeters should be equipped with correction algorithms for the measurement bias induced by vessel curvature.
DOI : 10.1051/proc:2005002

S. Balbis 1 ; L. Formaggia 2 ; G. Pontrelli 3 ; C. Guiot 1

1 University of Torino, Neuroscience Dep., C.so Raffaello, 30, 10125 Torino, Italy.
2 MOX, Mathematics Department, Politecnico di Milano, Italy.
3 Istituto per le Applicazioni del Calcolo - CNR, Viale del Policlinico, 137, 00161 Roma, Italy. 
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     title = {Reduced models for blood flow in curved vessels},
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S. Balbis; L. Formaggia; G. Pontrelli; C. Guiot. Reduced models for blood flow in curved vessels. ESAIM. Proceedings, Tome 14 (2005), pp. 14-24. doi : 10.1051/proc:2005002. http://geodesic.mathdoc.fr/articles/10.1051/proc:2005002/

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