PRESSURE DRIVEN STEADY FLOW IN CONSTRICTED CHANNELS OF DIFFERENT CROSS-SECTION SHAPES-Reference-Cited by-同舟云学术

PRESSURE DRIVEN STEADY FLOW IN CONSTRICTED CHANNELS OF DIFFERENT CROSS-SECTION SHAPES

Published:2013-03 Issue:01 Volume:05 Page:1350002
ISSN:1758-8251
Container-title:International Journal of Applied Mechanics
language:en
Short-container-title:Int. J. Appl. Mechanics

Author:

WU B.¹,VAN HIRTUM A.¹,LUO X. Y.²

Affiliation:

1. GIPSA-Lab, UMR CNRS 5216, Grenoble University, France

2. School of Mathematics and Statistics, University of Glasgow, Glasgow G12 8QW, UK

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mechanical Engineering,Mechanics of Materials,General Materials Science

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1758825113500026

Reference20 articles.

1. An Introduction to Fluid Dynamics

2. Comparison of computations of asymptotic flow models in a constricted channel

3. Theoretical simulation and experimental validation of inverse quasi-one-dimensional steady and unsteady glottal flow models

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