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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