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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

作     者:T.HAYAT S.NOREEN A.ALSAEDI 

作者机构:Department of MathematicsQuaid-I-Azam UniversityIslamabad 44000Pakistan Department of MathematicsComsats Institute of Information TechnologyAttock 43600Pakistan Department of MathematicsFaculty of ScienceKing Abdulaziz UniversityJeddah 21589Saudi Arabia 

出 版 物:《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学(英文版))

年 卷 期:2012年第33卷第8期

页      面:1035-1048页

核心收录:

学科分类:080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学(可授工学、理学学位)] 

基  金:Project supported by the Higher Education Commission (HEC) of Pakistan (No. 074-2997-Ps4-021) the Deanship of Scientific Research (DSR) of King Abdualaziz University of Saudi Arabia 

主  题:induced magnetic field slip condition Johnson-Segalman fluid 

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.

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