×

Magnetohydrodynamic peristaltic flow of a hyperbolic tangent fluid in a vertical asymmetric channel with heat transfer. (English) Zbl 1270.76086

Summary: In the present paper we discuss the magnetohydrodynamic (MHD) peristaltic flow of a hyperbolic tangent fluid model in a vertical asymmetric channel under a zero Reynolds number and long wavelength approximation. Exact solution of the temperature equation in the absence of dissipation term has been computed and the analytical expression for stream function and axial pressure gradient are established. The flow is analyzed in a wave frame of reference moving with the velocity of wave. The expression for pressure rise has been computed numerically. The physical features of pertinent parameters are analyzed by plotting graphs and discussed in detail.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
80A20 Heat and mass transfer, heat flow (MSC2010)
Full Text: DOI

References:

[1] Srivastava, L.M., Agrawal, R.P.: Oscillating flow of a conducting fluid with suspension of spherical particles. J. Appl. Mech. 47, 196–199 (1980) · doi:10.1115/1.3153605
[2] Agrawal, H.L., Anwaruddin, B.: Peristaltic flow of blood in a branch. Ranchi Uni. Math. J. 15, 111 (1984) · Zbl 0579.76128
[3] Nadeem, S., Akram, S.: Slip effects on the peristaltic flow of a Jeffrey fluid in an asymmetric channel under the effect of induced magnetic field. Int. J. Numer. Meth. Fluids. Doi: 10.1002/fld.2081 · Zbl 1352.76124
[4] Hayat, T., Ali, N.: Peristaltically induced motion of a MHD third grade fluid in a deformable tube. Phys. A. 370, 225–239 (2006) · doi:10.1016/j.physa.2006.02.029
[5] Mekheimer, Kh.S.: Non linear peristaltic transport of magnetohydrodynamic flow in an inclined planar channel. Arab J. Sci. Eng. 28, 183–201 (2003) · Zbl 1057.76059
[6] Ealshahed, M., Haroun, M.H.: Peristaltic transport of Johnson-Segalman fluid under effect of a magnetic field. Math. Prob. Eng. 6, 663–677 (2005) · Zbl 1200.76024 · doi:10.1155/MPE.2005.663
[7] Radhakrishnamacharya, G., Srinivasulu, Ch.: Influence of wall properties on peristaltic transport with heat transfer. C. R. Mecanique. 335, 369–373 (2007) · Zbl 1144.76067 · doi:10.1016/j.crme.2007.05.002
[8] Radhakrishnamacharya, G., Radhakrishna Murthy, V.: Heat transfer to peristaltic transport in a non-uniform channel. Def. Sci. J. 43, 275–280 (1993)
[9] Srinivas, S., Kothandapani, M.: Peristaltic transport in an asymmetric channel with heat transfer. Int. Commun. Heat Mass Transf. 35, 514–522 (2008) · Zbl 1217.76105 · doi:10.1016/j.icheatmasstransfer.2007.08.011
[10] Mekheimer, Kh. S., Abdelmaboud, Y.: Influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus. Application of an endoscope. Phys. Lett. A. 372, 1657–1665 (2008) · Zbl 1217.76106 · doi:10.1016/j.physleta.2007.10.028
[11] Nadeem, S., Akram, S.: Heat transfer in a peristaltic flow of MHD fluid with partial slip. Commun. Non Linear. Sci. Numer. Simulat. 15, 312–321 (2010) · Zbl 1221.76232 · doi:10.1016/j.cnsns.2009.03.038
[12] Nadeem, S., Akbar, N.S.: Influence of heat transfer on a peristaltic transport of Herschel-Bulkley fluid in a non-uniform inclined tube. Commun. Non Linear. Sci. Numer. Simulat. 14, 4100–4113 (2009) · Zbl 1221.76269 · doi:10.1016/j.cnsns.2009.02.032
[13] Nadeem, S., Akbar, N.S.: Effects of heat transfer on the peristaltic transport of MHD Newtonian fluid with variable viscosity. Application of adomian decomposition method. Commun. Non Linear. Sci. Numer. Simulat. 14, 3844–3855 (2009) · doi:10.1016/j.cnsns.2008.09.010
[14] Srinivas, S., Gayathri, R.: Peristaltic transport of a Newtonian fluid in a vertical asymmetric channel with heat transfer and porous medium. Appl. Math. Comput. 215, 185–196 (2009) · Zbl 1172.76051 · doi:10.1016/j.amc.2009.04.067
[15] Pop, I., Ingham, D.B.: Convective Heat Transfer: Mathematical and Computational Modelling of Viscous Fluids and Porous Media. Pergamon, Amsterdam, New York. 2001
[16] Nadeem, S., Akram, S.: Peristaltic transport of a hyperbolic tangent fluid model in an asymmetric channel. ZNA, 64a, 559–567 (2009)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.