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Electromagnetohydrodynamic Flow of Powell-Eyring Fluids in a Narrow Confinement

Published online by Cambridge University Press:  09 September 2016

F.-Q. Li ,
Y.-J. Jian ,
Z.-Y. Xie  and
L. Wang
F.-Q. Li
Affiliation:
School of Mathematical Science Inner Mongolia University Hohhot, China
Y.-J. Jian*
Affiliation:
School of Mathematical Science Inner Mongolia University Hohhot, China
Z.-Y. Xie
Affiliation:
School of Mathematical Science Inner Mongolia University Hohhot, China
L. Wang
Affiliation:
School of Mathematical Science Inner Mongolia University Hohhot, China
*
*Corresponding author (jianyj@imu.edu.cn)
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Abstract

In this work, we investigate electromagnetohydrodynamic (EMHD) flow of Powell-Eyring fluid through a slit confinement. The approximate analytical solution and numerical result of EMHD velocity are obtained by using homotopy perturbation method and Chebyshev spectral method, respectively. The analytical solutions are found to be in good agreement with numerical results under the same conditions. The influences of Hartmann number Ha, electrical field strength parameter S, the Powell-Eyring fluid parameters γ and β on velocity are discussed in detail. It is found that the volume flow rate of Newtonian fluid is always larger than that of Powell-Eyring fluid. The results reveal the intricate interaction between EMHD effect and fluid rheology involving non-Newtonian fluid. Therefore, the results are useful in dealing with some non-Newtonian biomicrofluidic systems.

Keywords

EMHD micropumpPowell-Eyring fluidHartmann numberHomotopy perturbation method

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Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 2 , April 2017 , pp. 225 - 233
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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