Title: A numerical model study of steady flow through bell-shaped stenoses with and without asymmetry

Authors: D.K. Mandal, N.K. Manna, S. Chakrabarti

Addresses: Department of Mechanical Engineering, College of Engineering and Management, Kolaghat, P.O.K.T.P.P. Township, Midnapore (E) – 721 171, West Bengal, India. ' Department of Mechanical Engineering, Jadavpur University, Kolkata – 700 032, West Bengal, India. ' Department of Mechanical Engineering, Bengal Engineering and Science University, Shibpur, Howrah – 711 103, West Bengal, India

Abstract: In the present paper, the effect of symmetrical and asymmetrical bell shaped stenoses on wall pressure drop, streamline contour, and rise in wall shear stress (WSS) for the progression of the disease, atherosclerosis has been investigated numerically. The governing equations have been solved by finite volume method. It is revealed from the study that the impact of wall pressure and peak WSS on progression of disease are always high for asymmetrical shaped stenosis. The impact of asymmetrical shape on plaque deposition zone is less, if the aggravation changes the shape of stenosis due to change in stricture length only keeping percentage of restriction same. Whereas, the impact of asymmetrical shape on plaque deposition zone will be high, if shape of stenosis changes by increasing both stricture length and percentage of restriction.

Keywords: atherosclerosis; wall pressure drop; reattachment length; peak wall shear stress; computational biomechanics; numerical modelling; steady flow; bell-shaped stenoses; asymmetry; streamline contour; finite volume method; plaque deposition zone; stricture length; stenosis shape; cardiovascular disease; narrowing of the arteries; arterial wall; fluid dynamics; blood flow; arterial stenosis.

DOI: 10.1504/IJECB.2010.035263

International Journal of Experimental and Computational Biomechanics, 2010 Vol.1 No.3, pp.306 - 331

Published online: 18 Sep 2010 *

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