Numerical study of shear-dependent non-Newtonian fluids in compliant vessels

Authors:
A. Hundertmark-Zaušková;M. Lukáčová-Medvid'ová
Affiliations:
Institute of Numerical Simulation, Hamburg University of Technology, Hamburg, Germany and Department of Mathematical and Numerical Analysis, Comenius University, Bratislava, Slovakia;Institute of Numerical Simulation, Hamburg University of Technology, Hamburg, Germany
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

The aim of this contribution is to present recent results on numerical modelling of non-Newtonian flow in compliant stenosed vessels with application in hemodynamics. We consider two models of shear-thinning non-Newtonian fluids and compare them with the Newtonian model. For the structure problem, the generalized string equation for radial symmetric tubes is used and extended to a stenosed vessel. The global iterative approach to approximate the fluid-structure interaction is used. Finally, we present numerical experiments for some non-Newtonian models, comparisons with the Newtonian model and the results for hemodynamic wall parameters such as the wall shear stress and the oscillatory shear index.