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MHD peristaltic flow of a third order fluid in an asymmetric channel

Ali, N. and Hayat, T. and Wang, Yongqi :
MHD peristaltic flow of a third order fluid in an asymmetric channel.
[Online-Edition: http://dx.doi.org/10.1002/fld.2184]
In: International Journal for Numerical Methods in Fluids, 64 (9) pp. 992-1013. ISSN 1097-0363
[Article] , (2010)

Official URL: http://dx.doi.org/10.1002/fld.2184

Abstract

This study is concerned with peristaltic flow of a magnetohydrodynamic (MHD) fluid in an asymmetric channel. Asymmetry in the flow is induced by waves on the channel walls having different amplitudes and phase. A systematic approach based on an expansion of Deborah number is used for the solution series. Analytic expressions have been developed for the stream function, axial velocity and axial pressure gradient. The pressure rise over a wavelength has been addressed through numerical integration. Particular attention has been given to the effects of Hartman number and Deborah number on the pressure rise over a wavelength and the trapping phenomenon. Several limiting solutions of interest are obtained as the special cases of the presented analysis by taking the appropriate parameter(s) to be zero.

Item Type: Article
Erschienen: 2010
Creators: Ali, N. and Hayat, T. and Wang, Yongqi
Title: MHD peristaltic flow of a third order fluid in an asymmetric channel
Language: English
Abstract:

This study is concerned with peristaltic flow of a magnetohydrodynamic (MHD) fluid in an asymmetric channel. Asymmetry in the flow is induced by waves on the channel walls having different amplitudes and phase. A systematic approach based on an expansion of Deborah number is used for the solution series. Analytic expressions have been developed for the stream function, axial velocity and axial pressure gradient. The pressure rise over a wavelength has been addressed through numerical integration. Particular attention has been given to the effects of Hartman number and Deborah number on the pressure rise over a wavelength and the trapping phenomenon. Several limiting solutions of interest are obtained as the special cases of the presented analysis by taking the appropriate parameter(s) to be zero.

Journal or Publication Title: International Journal for Numerical Methods in Fluids
Volume: 64
Number: 9
Publisher: John Wiley and Sons
Uncontrolled Keywords: asymmetric channel; MHD flow; third-order fluid; peristalsis
Divisions: 16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
16 Department of Mechanical Engineering
Date Deposited: 24 Aug 2011 18:12
Official URL: http://dx.doi.org/10.1002/fld.2184
Additional Information:

dio:10.1002/fld.2184

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