On mechanism of peristaltic flows for power-law fluids

T. Hayat; N. Ali

doi:10.1016/j.physa.2006.03.059

On mechanism of peristaltic flows for power-law fluids

T. Hayat
, N. Ali

Quaid-I-Azam University

Research output: Contribution to journal › Article › peer-review

71 Scopus citations

Abstract

This paper presents a mathematical model for flow induced by peristaltic waves through a deformable tube. An incompressible power-law fluid is considered. The two dimensional model is formulated based upon the fundamental equation of mass conservation and momentum. Exact analytical solutions have been derived for the stream function, axial velocity and pressure gradient which is the main goal of this work. Moreover, pressure rise per wavelength has been evaluated numerically. The present analysis has been performed under long wavelength and low Reynolds number assumptions. The effects of various physical parameters are also discussed through graphs.

Original language	English
Pages (from-to)	188-194
Number of pages	7
Journal	Physica A: Statistical Mechanics and its Applications
Volume	371
Issue number	2
DOIs	https://doi.org/10.1016/j.physa.2006.03.059
State	Published - 15 Nov 2006
Externally published	Yes

Keywords

Peristalsis
Power-law fluid
Tube

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10.1016/j.physa.2006.03.059

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title = "On mechanism of peristaltic flows for power-law fluids",

abstract = "This paper presents a mathematical model for flow induced by peristaltic waves through a deformable tube. An incompressible power-law fluid is considered. The two dimensional model is formulated based upon the fundamental equation of mass conservation and momentum. Exact analytical solutions have been derived for the stream function, axial velocity and pressure gradient which is the main goal of this work. Moreover, pressure rise per wavelength has been evaluated numerically. The present analysis has been performed under long wavelength and low Reynolds number assumptions. The effects of various physical parameters are also discussed through graphs.",

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AU - Hayat, T.

AU - Ali, N.

PY - 2006/11/15

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N2 - This paper presents a mathematical model for flow induced by peristaltic waves through a deformable tube. An incompressible power-law fluid is considered. The two dimensional model is formulated based upon the fundamental equation of mass conservation and momentum. Exact analytical solutions have been derived for the stream function, axial velocity and pressure gradient which is the main goal of this work. Moreover, pressure rise per wavelength has been evaluated numerically. The present analysis has been performed under long wavelength and low Reynolds number assumptions. The effects of various physical parameters are also discussed through graphs.

AB - This paper presents a mathematical model for flow induced by peristaltic waves through a deformable tube. An incompressible power-law fluid is considered. The two dimensional model is formulated based upon the fundamental equation of mass conservation and momentum. Exact analytical solutions have been derived for the stream function, axial velocity and pressure gradient which is the main goal of this work. Moreover, pressure rise per wavelength has been evaluated numerically. The present analysis has been performed under long wavelength and low Reynolds number assumptions. The effects of various physical parameters are also discussed through graphs.

KW - Peristalsis

KW - Power-law fluid

KW - Tube

UR - https://www.scopus.com/pages/publications/33748714321

U2 - 10.1016/j.physa.2006.03.059

DO - 10.1016/j.physa.2006.03.059

M3 - Article

AN - SCOPUS:33748714321

SN - 0378-4371

VL - 371

SP - 188

EP - 194

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 2

ER -

On mechanism of peristaltic flows for power-law fluids

Abstract

Keywords

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