WIT Press


An Exact Solution Of Navier-Stokes Equations For The Flow Through A Diverging Artery

Price

Free (open access)

Volume

45

Pages

6

Published

2004

Size

328 kb

Paper DOI

10.2495/AFM040381

Copyright

WIT Press

Author(s)

N. Vlachakis, D. Pavlou, V. Vlachakis, M. Pavlou & M. Kouskouti

Abstract

The estimation of the axial and radial component distributions of the blood velocity during its flow in a diverging artery is attempted. To this scope part of the Navier-Stokes equations and the continuity equation were treated analytically. Several flow characteristics, such as the back flow near the internal artery wall surfaces are investigated. Analytical results obtained by the proposed methodology are also included. 1 Introduction Blood flow analysis through diverging arteries is very important due to the fact that the diverging arteries cause damage in the cardiovascular system. Although main physical mechanism of the formation of the arterial diverging is not clearly understood by the theoretical point of view, however, the effects of blood flow in the damage acc

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