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Slip effects on MHD flow of third order fluid in a planar channel. (English) Zbl 1221.76220
Summary: The peristaltic flow of magnetohydrodynamic (MHD) third order fluid in a planar channel with slip condition is investigated. The solutions are derived under long wavelength and low Reynolds number approximations. Explicit expressions of stream function, longitudinal pressure gradient, longitudinal velocity, temperature and coefficient of heat transfer are given. The pumping and trapping phenomena are analyzed in the presence of MHD and slip effects. The effects of parameters on temperature distribution and heat transfer coefficient are discussed. A comparison is provided with the different existing cases.
76W05Magnetohydrodynamics and electrohydrodynamics
[1]Latham TW. Fluid motion in peristaltic pump. M.S. thesis. Cambridge, MA: MIT; 1966.
[2]Shapiro, A. H.; Jaffrin, M. Y.; Weinberg, S. L.: Peristaltic pumping with long wave length at low Reynolds number, J fluid mech 39, 799-825 (1969)
[3]Mishra, M.; Rao, A. R.: Peristaltic transport of a Newtonian fluid in an asymmetric channel, Z angew math phys 54, 532-550 (2003) · Zbl 1099.76545 · doi:10.1007/s00033-003-1070-7
[4]Siddiqui, A. M.; Schwarz, W. H.: Peristaltic motion of a third order fluid in a planar channel, Rheol acta 32, 47-56 (1993)
[5]Siddiqui, A. M.; Schwarz, W. H.: Peristaltic motion of a second order fluid in tubes, J non-Newtonian fluid mech 53, 247-284 (1994)
[6]Mekheimer, Kh.S.: Peristaltic flow of blood under the effect of a magnetic field in a non-uniform channels, Appl math comput 153, 763-777 (2004) · Zbl 1041.92006 · doi:10.1016/S0096-3003(03)00672-6
[7]Mekheimer, Kh.S.; Elmaboud, Y. Abd: Peristaltic flow of couple stress fluid in an annulus: application of an endoscope, Physica A 387, 2403-2415 (2008)
[8]Mekheimer, Kh.S.: Effect of the induced magnetic field on peristaltic flow of a couple stress fluid, Phys lett A 372, 4271-4278 (2008) · Zbl 1221.76231 · doi:10.1016/j.physleta.2008.03.059
[9]Hayat, T.; Wang, Y.; Siddiqui, A. M.; Hutter, K.; Asghar, S.: Peristaltic transport of third order fluid in a circular cylindrical tube, Math mod methods appl sci 12, 1691-1706 (2002) · Zbl 1041.76002 · doi:10.1142/S0218202502002288
[10]Hayat, T.; Momoniat, E.; Mahomed, F. M.: Peristaltic MHD flow of a third grade fluid with an endoscope and variable viscosity, J nonlinear math phys 15, 91-104 (2008)
[11]Hayat, T.; Ali, N.; Hussain, Q.: Influence of partial slip on the peristaltic flow in porous medium, Physica A 387, 3399-3409 (2008)
[12]Radhakrishnamacharya, G.; Srinivasulu, C.: Influence of wall properties in peristaltic transport with heat transfer, CR mecanique 335, 369-373 (2007) · Zbl 1144.76067 · doi:10.1016/j.crme.2007.05.002
[13]Kothandapani, M.; Srinivas, S.: On the influence of wall properties in the MHD peristaltic transport with heat transfer and porous medium, Phys lett A 372, 4586-4591 (2008) · Zbl 1221.76044 · doi:10.1016/j.physleta.2008.04.050
[14]Mekheimar, Kh.S.; Elmaboud, Y. Abd: The influence of heat transfer and magnetic field on the peristaltic transport of Newtonian fluid in vertical annulus: an application of an endoscope, Phys lett A 372, 1657-1665 (2008) · Zbl 1217.76106 · doi:10.1016/j.physleta.2007.10.028
[15]Srinivas, S.; Kothandapani, M.: The influence of heat and mass transfer on MHD peristaltic flow through a porous space with complaint walls, Appl math comput 213, 197-208 (2009) · Zbl 1165.76052 · doi:10.1016/j.amc.2009.02.054
[16]Stud, V. K.; Sephon, G. S.; Mishra, R. K.: Pumping action on blood flow by a magnetic field, Bull math biol 39, 385-390 (1977)
[17]Agrawal, H. L.; Anwwaruddin, B.: Peristaltic flow of blood in a branch, Ranchi univ math J 15, 111-118 (1984) · Zbl 0579.76128
[18]Haroun, M. H.: Effect of Deborah number and phase difference on peristaltic transport of third order fluid in asymmetric channel, Commun nonlinear sci numer simulat 12, 1464-1480 (2007) · Zbl 1127.76069 · doi:10.1016/j.cnsns.2006.03.002
[19]Srinivas, S.; Kothandapani, M.: Peristaltic transport in an asymmetric channel with heat transfer – a note, Int commun heat mass transfer 35, 514-522 (2008)
[20]Srinivas, S.; Gayathri, R.; Kothandapani, M.: The influence of slip condition, wall properties and heat transfer on MHD peristaltic transport, Comput phys commun 180, 2115-2122 (2009) · Zbl 1197.76157 · doi:10.1016/j.cpc.2009.06.015
[21]Hayat, T.; Qureshi, M. Umar; Ali, N.: The influence of slip on the peristaltic motion of third order fluid in an asymmetric channel, Phys lett A 372, 2653-2664 (2008) · Zbl 1220.76092 · doi:10.1016/j.physleta.2007.12.049
[22]Hayat, T.; Hina, S.: The influence of wall properties on the MHD peristaltic flow of a Maxwell fluid with heat and mass transfer, Nonlinear anal real world appl 11, 3155-3269 (2010) · Zbl 1194.35328 · doi:10.1016/j.nonrwa.2009.11.010
[23]Hayat, T.; Afsar, A.; Khan, M.; Asghar, S.: Peristaltic transport of a third order fluid under the effect of a magnetic field, Comput math appl 53, 1074-1087 (2007) · Zbl 1121.76006 · doi:10.1016/j.camwa.2006.12.014