Applied Mathematics and Mechanics
, Volume 33, Issue 8, pp 10351048
First online:
Slip and induced magnetic field effects on peristaltic transport of JohnsonSegalman fluid
 T. HayatAffiliated withDepartment of Mathematics, QuaidIAzam University Email author
 , S. NoreenAffiliated withDepartment of Mathematics, Comsats Institute of Information Technology
 , A. AlsaediAffiliated withDepartment of Mathematics, Faculty of Science, King Abdulaziz University
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The peristaltic flow of a JohnsonSegalman 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 microrotation component, the stream function, the magneticforce 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.
Key words
induced magnetic field slip condition JohnsonSegalman fluidChinese Library Classification
O357.22010 Mathematics Subject Classification
76A05 Title
 Slip and induced magnetic field effects on peristaltic transport of JohnsonSegalman fluid
 Journal

Applied Mathematics and Mechanics
Volume 33, Issue 8 , pp 10351048
 Cover Date
 201208
 DOI
 10.1007/s1048301216036
 Print ISSN
 02534827
 Online ISSN
 15732754
 Publisher
 Shanghai University
 Additional Links
 Topics
 Keywords

 induced magnetic field
 slip condition
 JohnsonSegalman fluid
 O357.2
 76A05
 Industry Sectors
 Authors

 T. Hayat ^{(1)}
 S. Noreen ^{(2)}
 A. Alsaedi ^{(3)}
 Author Affiliations

 1. Department of Mathematics, QuaidIAzam 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