Slip and induced magnetic field effects on peristaltic transport of JohnsonSegalman fluid
 T. Hayat,
 S. Noreen,
 A. Alsaedi
 … show all 3 hide
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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.
 Latham, T. W. Fluid Motion in a Peristaltic Pump, Massachusetts Institute of Technology, Massachusetts (1966)
 Shapiro, A. H., Jaffrin, M. Y., and Weinberg, S. L. Peristaltic pumping with long wavelength at low Reynolds number. Journal of Fluid Mechanics, 37, 799–825 (1969) CrossRef
 Mekheimer, K. S. and AbdElmaboud, Y. The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: application of an endoscope. Physics Letters A, 372, 1657–1665 (2008) CrossRef
 Mekheimer, K. S. Peristaltic flow of blood under effect of a magnetic field in a nonuniform channel. Applied Mathematics and Computation, 153, 763–777 (2004) CrossRef
 Mekheimer, K. S. and AbdElmaboud, Y. Peristaltic flow of a couple stress fluid in an annulus: application of an endoscope. Physica A, 387, 2403–2415 (2008) CrossRef
 Vajravelu, K., Radhakrishnamacharya, G., and Murty, V. R. Peristaltic flow and heat transfer in a vertical porous annulus with long wavelength approximation. International Journal of NonLinear Mechanics, 42, 754–759 (2007) CrossRef
 Vajravelu, K., Sreenadh, S., and Babu, V. R. Peristaltic pumping of a HerschelBulkley fluid in a channel. Applied Mathematics and Computation, 169, 726–735 (2005) CrossRef
 Kothandapani, M. and Srinivas, S. Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel. International Journal of NonLinear Mechanics, 43, 915–924 (2008) CrossRef
 Kothandapani, M. and Srinivas, S. On the influence of wall properties in the MHD peristaltic transport with heat transfer and porous medium. Physics Letters A, 372, 4586–4591 (2008) CrossRef
 Kothandapani, M. and Srinivas, S. Nonlinear peristaltic transport of a Newtonian fluid in an inclined asymmetric channel through a porous medium. Physics Letters A, 372, 1265–1276 (2008) CrossRef
 Haroun, M. H. Effect of Deborah number and phase difference on peristaltic transport of a third grade fluid in an asymmetric channel. Communications in Nonlinear Science and Numerical Simulation, 12, 1464–1480 (2007) CrossRef
 Haroun, M. H. Nonlinear peristaltic flow of a fourth grade fluid in an inclined asymmetric channel. Computational Materials Science, 39, 324–333 (2007) CrossRef
 Eldabe, N. T. M., AlSayad, M. F., Galy, A. Y., and Sayed, H. M. Peristaltically induced motion of an MHD biviscosity fluid in a nonuniform tube. Physica A, 383, 253–266 (2007) CrossRef
 Nadeem, S. and Akram, S. Peristaltic flow of a Williamson fluid in an asymmetric channel. Communications in Nonlinear Science and Numerical Simulation, 15, 1705–1716 (2010) CrossRef
 Ali, N. and Hayat, T. Peristaltic flow of a micropolar fluid in an asymmetric channel. Computers and Mathematics with Applications, 55, 589–608 (2008) CrossRef
 Hayat, T., Ali, N., Asghar, S., and Siddiqui, A. M. Exact peristaltic flow in tubes with an endoscope. Applied Mathematics and Computation, 182, 359–368 (2006) CrossRef
 Hayat, T. and Ali, N. Effect of variable viscosity on the peristaltic transport of a Newtonian fluid in an asymmetric channel. Applied Mathematical Modelling, 32, 761–774 (2008) CrossRef
 Wang, Y., Hayat, T., Ali, N., and Oberlack, M. Magnetohydrodynamic peristaltic motion of a Sisko fluid in a symmetric or asymmetric channel. Physica A, 387, 347–362 (2008) CrossRef
 Hayat, T. and Ali, N. A mathematical description of peristaltic hydromagnetic flow in a tube. Applied Mathematics and Computation, 188, 1491–1502 (2007) CrossRef
 Hayat, T., Khan, M., Siddiqui, A. M., and Asghar, S. Nonlinear peristaltic flow of a nonNewtonian fluid under effect of a magnetic field in a planar channel. Communications in Nonlinear Science and Numerical Simulation, 12, 910–919 (2007) CrossRef
 Ebaid, E. Effects of magnetic field and wall slip on the peristaltic transport of a Newtonian fluid in an asymmetric channel. Physics Letters A, 372, 4493–4499 (2008) CrossRef
 Srinivas, S., Gayathri, R., and Kothandapani, M. The influence of slip conditions, wall properties and heat transfer on the MHD peristaltic transport. Computer Physics Communications, 180, 2115–2122 (2009) CrossRef
 Mandviwalla, X. and Archer, R. The influence of slip boundary conditions on the peristaltic pumping in a rectangular channel. Journal of Fluids Engineering, 130, 124501 (2008) CrossRef
 ElShehawy, E. F., ElDabe, N. T., and ElDesoky, I. M. Slip effects on the peristaltic flow of a nonNewtonian Maxwellian fluid. Acta Mechanica, 186, 141–159 (2006) CrossRef
 Sobh, A. M. Interaction of couple stresses and slip flow on peristaltic transport in uniform and nonuniform channels. Turkish Journal of Engineering and Environmental Sciences, 32, 117–123 (2008)
 Hayat, T., Hussain, Q., and Ali, N. Influence of partial slip on the peristaltic flow in a porous medium. Physics Letters A, 387, 3399–3409 (2008)
 Ali, N., Hussain, Q., Hayat, T., and Asghar, S. Slip effects on the peristaltic transport of MHD fluid with variable viscosity. Physics Letters A, 372, 1477–1489 (2008) CrossRef
 Hayat, T., Hina, S., and Ali, N. Simultaneous effects of slip and heat transfer on the peristaltic flow. Communications in Nonlinear Science and Numerical Simulation, 15, 1526–1537 (2010) CrossRef
 Hayat, T., Qureshi, M. U., and Ali, N. The influence of slip on the peristaltic motion of a third order fluid in an asymmetric channel. Physics Letters A, 372, 2653–2664 (2008) CrossRef
 Vishnyakov, V. I. and Pavlov, K. B. Peristaltic flow of a conductive fluid in a transverse magnetic field (in Russian). Magnitnaya Gidrodinamika, 8, 174–178 (1972)
 Mekheimer, K. S. Effect of induced magnetic field on peristaltic flow of a couple stress fluid. Physics Letters A, 372, 4271–4278 (2008) CrossRef
 Nadeem, S. and Akram, S. Peristaltic flow of a couple stress fluid under the effect of induced magnetic field in an asymmetric channel. Archive of Applied Mechanics, 8, 97–109 (2011) CrossRef
 Hayat, T., Khan, Y., Ali, N., and Mekheimer, K. S. Effect of an induced magnetic field on the peristaltic flow of a third order fluid. Numerical Methods for Partial Differential Equations, 26, 345–360 (2010)
 Hayat, T., Saleem, N., and Ali, N. Effect of induced magnetic field on peristaltic transport of a Carreau fluid. Communications in Nonlinear Science and Numerical Simulation, 15, 2407–2423 (2010) CrossRef
 Mekheimer, K. S. Peristaltic flow of a magnetomicropolar fluid: effect of induced magnetic field. Journal of Applied Mathematics, 2008, 570825 (2008) CrossRef
 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
 20120801
 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