The flow of Newtonian and power law fluids in elastic tubes

被引：17
|
作者：
Sochi, Taha [1 ]
机构：
[1] UCL, Dept Phys & Astron, London WC1E 6BT, England
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2014年 / 67卷
关键词：
Fluid dynamics; Elastic tube; Newtonian fluid; Power law fluid; 1D Navier-Stokes; Lubrication approximation; BLOOD-FLOW; ARTERIES; MODELS;
D O I：
10.1016/j.ijnonlinmec.2014.09.013
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We derive analytical expressions for the flow of Newtonian and power law fluids in elastic circularly symmetric tubes based on a lubrication approximation where the flow velocity profile at each cross section is assumed to have its axially dependent characteristic shape for the given rheology and cross sectional size. Two pressure-area constitutive elastic relations for the tube elastic response are used in these derivations. We demonstrate the validity of the derived equations by observing qualitatively correct trends in general and quantitatively valid asymptotic convergence to limiting cases. The Newtonian formulae are compared to similar formulae derived previously from a one-dimensional version of the Navier-Stokes equations. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：245 / 250
页数：6
相关论文
共 50 条
12345