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On the Instability of Plane Poiseuille Flow of Two Immiscible Fluids Using the Energy Gradient Theory

Published online by Cambridge University Press:  13 March 2014

I. Farahbakhsh ,
S. S. Nourazar ,
H. Ghassemi ,
H.-S. Dou  and
A. Nazari-Golshan
I. Farahbakhsh*
Affiliation:
Ocean Engineering Department, Amirkabir University of Technology, Tehran, Iran
S. S. Nourazar
Affiliation:
Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran
H. Ghassemi
Affiliation:
Ocean Engineering Department, Amirkabir University of Technology, Tehran, Iran
H.-S. Dou
Affiliation:
Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou, China
A. Nazari-Golshan
Affiliation:
Department of Physics, Amirkabir University of Technology, Tehran, Iran
*
[email protected]
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Abstract

In the present study, the instability of laminar flow of two immiscible fluids is investigated. The theory of energy gradient is employed for the analysis. The distributions of energy gradient for various viscosity ratios, i.e., ratios of lower viscosity to higher one, are obtained and the results for the onset of instability are compared with the available experimental data. The comparison of the results shows excellent agreement with the existing experimental data. It will be also demonstrated that as the viscosity ratio decreases the flow becomes more stable even at high Reynolds numbers.

Keywords

Energy gradientInstabilityPlane Poiseuille flowViscosity ratio
Type
Research Article
Information
Journal of Mechanics , Volume 30 , Issue 3 , June 2014 , pp. 299 - 305
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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