Hall Effect on Peristaltic Flow of Third Order Fluid in a Porous Medium with Heat and Mass Transfer

Nabil T. M. Eldabe, Ahmed Y. Ghaly, Sallam N. Sallam, Khaled Elagamy, Yasmeen M. Younis

Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt.

DOI: 10.4236/jamp.2015.39141                

Abstract

We investigated the influence of hall, heat and mass transfer on the peristaltic flow of MHD third order fluid under long-wavelength and low Reynolds number approximation. The governing equations are solved analytically with the appropriate boundary conditions by using perturbation technique. The formula of velocity with temperature and concentration is obtained analytically as a function of the physical parameters of the problem.

Keywords

Peristaltic Flow, Third Order Fluid, Hall Effect, Heat, Mass Transfer

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Latham, T.W. (1966) Fluid Motions in a Peristaltic Pump, M.S. Thesis, M.I.T., Cambridge.
[2]	Haroun, M.H. (2007) Effect of Deborah Number and Phase Difference on Peristaltic Transport of a Third-Order Fluid in an Asymmetric Channel. Communications in Nonlinear Science and Numerical Simulation, 12, 1464-1480. http://dx.doi.org/10.1016/j.cnsns.2006.03.002
[3]	Eldabe, N.T.M., El-Sayed, M.F., Ghaly, A.Y. and Sayed, H.M. (2007) Peristaltically Induced Transport of a MHD Biviscosity Fluid in a Non-Uniform Tube. Physica A, 383, 253-266. http://dx.doi.org/10.1016/j.physa.2007.05.027
[4]	Hayat, T., Afsar, A., Khan, M. and Asghar, S. (2007) Peristaltic Transport of a Third Order Fluid under the Effect of a Magnetic Field. Computers and Mathematics with Applications, 53, 1074-1087. http://dx.doi.org/10.1016/j.camwa.2006.12.014
[5]	Srinivas, S. and Kothandapani, M. (2009) The Influence of Heat and Mass Transfer on MHD Peristaltic Flow through a Porous Space with Compliant Walls. Applied Mathematics and Computation, 213, 197-208. http://dx.doi.org/10.1016/j.amc.2009.02.054
[6]	Siddiqui, A.M., Rana, M.A. and Ahmed, N. (2008) Effects of Hall Current and Heat Transfer on MHD Flow of a Burgers’ Fluid Due to a Pull of Eccentric Rotating Disks. Communications in Nonlinear Science and Numerical Simulation, 13, 1554-1570. http://dx.doi.org/10.1016/j.cnsns.2006.10.005
[7]	Hayat, T., Abbas, Z. and Asghar, S. (2008) Effects of Hall Current and Heat Transfer on Rotating Flow of a Second Grade Fluid through a Porous Medium. Communications in Nonlinear Science and Numerical Simulation, 13, 2177-2192. http://dx.doi.org/10.1016/j.cnsns.2007.03.033
[8]	Nowar, K. (2014) Peristaltic Flow of a Nanofluid under the Effect of Hall Current and Porous Medium. Mathematical Problems in Engineering, 2014, 1-15. http://dx.doi.org/10.1155/2014/389581
[9]	Eldabe, N.T.M., Fouad, A. and Hussein, M.M. (2010) Magnetohydrodynamic Flow and Heat Transfer for a Peristaltic Motion of Carreau Fluid through a Porous Medium. Journal of Mathematics, 42, 1-16.
[10]	Eldabe, N.T.M., Agoor, M. and Alame, H. (2014) Peristaltic Motion of Non-Newtonian Fluid with Heat and Mass Transfer through a Porous Medium in Channel under Uniform Magnetic Field. Journal of Fluids, 2014, 1-12. http://dx.doi.org/10.1155/2014/525769
[11]	Eldabe, N.T.M., Sallam, N.S., Mohamed, M.A.A, Abo Zaid, M.Y. and Abd-Elmonem, A. (2011) Magnetohydrodynamic Peristaltic Motion with Heat and Mass Transfer of a Jeffery Fluid in a Tube through Porous Medium. Innovative Systems Design and Engineering, 264-275.