Slip and induced magnetic field effects on peristaltic transport of Johnson-Segalman fluid

doi:10.1007/s10483-012-1603-6

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (8): 1035-1048.doi: https://doi.org/10.1007/s10483-012-1603-6

Slip and induced magnetic field effects on peristaltic transport of Johnson-Segalman fluid

T. HAYAT¹, S. NOREEN², A. ALSAEDI³

1. Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;
2. Department of Mathematics, Comsats Institute of Information Technology, Attock 43600, Pakistan;
3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

收稿日期:2011-05-18 修回日期:2011-12-28 出版日期:2012-08-10 发布日期:2012-08-10
通讯作者: T. HAYAT, Professor, Ph.D., E-mail: pensy_t@yahoo.com E-mail:pensy_t@yahoo.com
基金资助:
Project supported by the Higher Education Commission (HEC) of Pakistan (No. 074-2997-Ps4-021) and the Deanship of Scientific Research (DSR) of King Abdualaziz University of Saudi Arabia

Slip and induced magnetic field effects on peristaltic transport of Johnson-Segalman fluid

T. HAYAT¹, S. NOREEN², A. ALSAEDI³

1. Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;
2. Department of Mathematics, Comsats Institute of Information Technology, Attock 43600, Pakistan;
3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Received:2011-05-18 Revised:2011-12-28 Online:2012-08-10 Published:2012-08-10
Supported by:
Project supported by the Higher Education Commission (HEC) of Pakistan (No. 074-2997-Ps4-021) and the Deanship of Scientific Research (DSR) of King Abdualaziz University of Saudi Arabia

摘要/Abstract

摘要：

The peristaltic flow of a Johnson-Segalman fluid in a planar channel is investigated in an induced magnetic field with the slip condition. The symmetric nature of the flow in a channel is utilized. The velocity slip condition in terms of shear stresses is considered. The mathematical formulation is presented, and the equations are solved under long wavelength and low Reynolds number approximations. The perturbation solutions are established for the pressure, the axial velocity, the micro-rotation component, the stream function, the magnetic-force function, the axial induced magnetic field, and the current distribution across the channel. The solution expressions for small Weissenberg numbers are derived. The flow quantities of interest are sketched and analyzed.

关键词: slip condition, induced magnetic field, Johnson-Segalman fluid, different tension-compression modulus, neutral axis, beam subjected to lateral force, analytical solution

Abstract:

Key words: different tension-compression modulus, neutral axis, beam subjected to lateral force, analytical solution, Johnson-Segalman fluid, induced magnetic field, slip condition

中图分类号:

O357.2

T. HAYAT;S. NOREEN;A. ALSAEDI. Slip and induced magnetic field effects on peristaltic transport of Johnson-Segalman fluid[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(8): 1035-1048.

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Slip and induced magnetic field effects on peristaltic transport of Johnson-Segalman fluid

Slip and induced magnetic field effects on peristaltic transport of Johnson-Segalman fluid

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