A new generalized Oldroyd-B model for blood flow in complex geometries

M, Anand and Kwack, K and Masud, A (2013) A new generalized Oldroyd-B model for blood flow in complex geometries. International Journal of Engineering Science, 72. pp. 78-88. ISSN 0020-7225

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A new generalization of the Oldroyd-B model is developed to describe the flow of blood. The model is developed within a thermodynamic framework which recognizes that a viscoelastic fluid can remain stress free in multiple configurations. The new model is an improvement over an earlier model developed within the same framework to describe the response characteristics of blood. It captures the shear-thinning and deformation-dependent viscoelastic behavior of blood just like the previous model. More importantly, unlike the previous model, it does not have the shortcoming of an abrupt transition of the material properties at low shear rates: instead, it allows for a smooth variation of the rate of dissipation, and therefore viscosity, over the entire range of physically feasible shear-rates. This feature is very attractive for developing high-fidelity numerical methods for application to the complex geometries that are typically encountered in the human vasculature. Convergence of the numerical method in simple geometries shows its superior properties as compared to the earlier model: this demonstration of model performance is a precursor to its use in 3D geometries

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Item Type: Article
Additional Information: MA thanks Dr. C. S. Sastry for useful discussions. JK was partially funded by a grant from the NCSA, and this support is acknowledged. We thank Professor K. R. Rajagopal for discussions on the presentation of the results.
Uncontrolled Keywords: Blood; Convergence; Oldroyd-B model; Thermodynamic framework; Variational multiscale method
Subjects: Chemical Engineering > Biochemical Engineering
Divisions: Department of Chemical Engineering
Depositing User: Team Library
Date Deposited: 27 Nov 2014 05:30
Last Modified: 12 Mar 2015 05:56
URI: http://raiith.iith.ac.in/id/eprint/1001
Publisher URL: http://dx.doi.org/10.1016/j.ijengsci.2013.06.009
OA policy: http://www.sherpa.ac.uk/romeo/issn/0020-7225/
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