Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9506302 | Applied Mathematics and Computation | 2005 | 15 Pages |
Abstract
The influence of the non-Newtonian stress-strain relation of blood on the oscillatory shear index (OSI) and mean wall shear stress (WSS) are described. A mathematical non-dimensional model based on the momentum equation for a modified Casson's fluid is formulated in terms of the dimensionless yield shear stress Ï0â. An original direct numerical procedure is presented to predict the flow patterns. Results obtained by using a finite difference approach show a difference in OSI when blood is assumed to be a Newtonian fluid instead of a modified Casson's fluid. The calculation of the OSI in human normal conditions under the Newtonian approach differs in 5% from the result obtained from using the Casson model.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hernán A. González, Nelson O. Moraga,