Effects of rotation and magnetic field on nonlinear peristaltic flow of second-order fluid in an asymmetric channel through a porous medium

doi:10.1088/1674-1056/22/7/074702

中国物理B ›› 2013, Vol. 22 ›› Issue (7): 74702-074702.doi: 10.1088/1674-1056/22/7/074702

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Effects of rotation and magnetic field on nonlinear peristaltic flow of second-order fluid in an asymmetric channel through a porous medium

A. M. Abd-Alla^{a b}, S. M. Abo-Dahab^{a c}, H. D. El-Shahrany^a

a Department of Mathematics, Faculty of Science, Taif University, Saudi Arabia;
b Department of Mathematics, Faculty of Science, Sohag, Egypt;
c Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt

收稿日期:2012-10-22 修回日期:2013-01-15 出版日期:2013-06-01 发布日期:2013-06-01

Effects of rotation and magnetic field on nonlinear peristaltic flow of second-order fluid in an asymmetric channel through a porous medium

A. M. Abd-Alla^{a b}, S. M. Abo-Dahab^{a c}, H. D. El-Shahrany^a

a Department of Mathematics, Faculty of Science, Taif University, Saudi Arabia;
b Department of Mathematics, Faculty of Science, Sohag, Egypt;
c Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt

Received:2012-10-22 Revised:2013-01-15 Online:2013-06-01 Published:2013-06-01
Contact: A. M. Abd-Alla E-mail:mohmrr@yahoo.com

摘要/Abstract

摘要： In this paper, the effects of both rotation and magnetic field of the peristaltic transport of second-order fluid through a porous medium in a channel are studied analytically and computed numerically. The material was represented by the constitutive equations for a second-order fluid. Closed-form solutions under the consideration of long wavelength and low Reynolds number is presented. The analytical expressions for the pressure gradient, pressure rise, friction force, stream function, shear stress, and velocity are obtained in the physical domain. The effects of the non-dimensional wave amplitude, porosity, magnetic field, rotation, and the dimensionless time-mean flow in the wave frame are analyzed theoretically and computed numerically. Numerical results are given and illustrated graphically in each case considered. Comparison was made with the results obtained in the presence and absence of rotation, magnetic field, and porosity. The results indicate that the effects of the non-dimensional wave amplitude, porosity, magnetic field, rotation, and the dimensionless time-mean flow are very pronounced in the phenomena.

关键词: peristaltic flow, second-order fluid, magnetic field, porous medium

Abstract: In this paper, the effects of both rotation and magnetic field of the peristaltic transport of second-order fluid through a porous medium in a channel are studied analytically and computed numerically. The material was represented by the constitutive equations for a second-order fluid. Closed-form solutions under the consideration of long wavelength and low Reynolds number is presented. The analytical expressions for the pressure gradient, pressure rise, friction force, stream function, shear stress, and velocity are obtained in the physical domain. The effects of the non-dimensional wave amplitude, porosity, magnetic field, rotation, and the dimensionless time-mean flow in the wave frame are analyzed theoretically and computed numerically. Numerical results are given and illustrated graphically in each case considered. Comparison was made with the results obtained in the presence and absence of rotation, magnetic field, and porosity. The results indicate that the effects of the non-dimensional wave amplitude, porosity, magnetic field, rotation, and the dimensionless time-mean flow are very pronounced in the phenomena.

Key words: peristaltic flow, second-order fluid, magnetic field, porous medium

中图分类号:

47.15.G-

47.15.Rq (Laminar flows in cavities, channels, ducts, and conduits) 47.27.nd (Channel flow) 47.45.Gx (Slip flows and accommodation)

A. M. Abd-Alla, S. M. Abo-Dahab, H. D. El-Shahrany. Effects of rotation and magnetic field on nonlinear peristaltic flow of second-order fluid in an asymmetric channel through a porous medium[J]. 中国物理B, 2013, 22(7): 74702-074702.

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Effects of rotation and magnetic field on nonlinear peristaltic flow of second-order fluid in an asymmetric channel through a porous medium

Effects of rotation and magnetic field on nonlinear peristaltic flow of second-order fluid in an asymmetric channel through a porous medium

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