Pulsatile flow of a shear-thinning model for blood through a two-dimensional stenosed channel

N, Nandakumar and Sahu, K C and M, Anand (2015) Pulsatile flow of a shear-thinning model for blood through a two-dimensional stenosed channel. European Journal of Mechanics, B/Fluids, 49 (Part A). pp. 29-35. ISSN 0997-7546

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The effects of percentage stenosis and Reynolds number (Re) on steady flow, and Womersley number (Wo) on pulsatile flow, of blood through a two-dimensional channel with stenosis are investigated, and the results are compared with the Newtonian case. We model blood using the shear-thinning relation proposed by Yeleswarapu, while the stenosis is approximated using a cosine-shaped taper. The vorticity–streamfunction formulation of the flow equations is solved using a finite difference scheme in conjunction with a full-multigrid algorithm that reduces computational time. The presence of stenosis leads to a recirculation zone immediately downstream of the stenosis. In steady flow, the shear-thinning fluid predicts higher peak wall shear stress than the Newtonian fluid: the difference between the predictions, expressed as a percentage of the Newtonian wall shear stress, decreases as percentage stenosis and Reynolds number increase. For a given percentage stenosis and Reynolds number, the percentage difference between the shear-thinning fluid and Newtonian fluid decreases, and remains negligible, as the Womersley number increases (corresponding to increasing pulsatile nature of the flow). This suggests that the Newtonian approximation can accurately model wall shear stress in the aortic flow of blood; however, for other variables (e.g. mean velocity) the shear-thinning model is more appropriate.

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IITH Creators:
IITH CreatorsORCiD
Item Type: Article
Uncontrolled Keywords: Shear-thinning fluid; Yeleswarapu model; Pulsatile flow; Stenosis; Womersley number
Subjects: Chemical Engineering > Biochemical Engineering
Divisions: Department of Chemical Engineering
Depositing User: Team Library
Date Deposited: 05 Mar 2015 09:23
Last Modified: 12 Mar 2015 04:53
URI: http://raiith.iith.ac.in/id/eprint/1374
Publisher URL: http://dx.doi.org/10.1016/j.euromechflu.2014.07.00...
OA policy: http://www.sherpa.ac.uk/romeo/issn/0997-7546/
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