Pressure driven steady flow in constricted channels of different cross-section shapes

Wu, B., Van Hirtum, A. and Luo, X.Y. (2013) Pressure driven steady flow in constricted channels of different cross-section shapes. International Journal of Applied Mechanics, 5(1), pp. 1350002-1. (doi:10.1142/S1758825113500026)

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Abstract

The influence of the cross-section shape on pressure driven viscous flow through a uniform channel is assessed by presenting analytical flow solutions of velocity distribution, volume flow rate and shear stress for different cross-section shapes. Next, a simplified flow model through a non-uniform constricted channel is formulated which accounts for flow inertia, viscosity and cross-section shape. The model outcome is quantified for different fluids, flows and geometrical properties relevant to physiological flows. It is seen that a commonly applied quasi-one-dimensional (1D) model is not accurate indicating the need to account for the cross-section shape.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Luo, Professor Xiaoyu
Authors: Wu, B., Van Hirtum, A., and Luo, X.Y.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:International Journal of Applied Mechanics
Journal Abbr.:Int. J. of Appl. Mech.
ISSN:1758-8251
ISSN (Online):1758-826X

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