Peristaltic Pumping of a Conducting Sisko Fluid through Porous Medium with Heat and Mass Transfer
- 1 Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt
- 2 Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt
- 3 Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt
- 4 Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt
- 5 Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt
Abstract
The mathematical model is presented for the flow of peristaltic pumping of a conducting non-Newtonian fluid obeying Sisko model through a porous medium under the effect of magnetic field with heat and mass transfer. The solutions of the system of equations which represent this motion are obtained analytically using perturbation technique after considering the approximation of long wave length. The formula of the velocity with temperature and concentration of the fluid is obtained as a function of the physical parameters of the problem. The effects of these parameters on these solutions are discussed numerically and illustrated graphically through some graphs.
- Shapiro, A.H., Jafferin, M.Y. and Weinberg, S.L. (1969) Peristaltic Pumping with Long Wave Lengths at Low Reynolds Number. Journal Fluid Mechanics, 35, 669-675.
- Kaimal, M.R. (1978) Peristaltic Pumping of Non-Newtonian Fluid at Low Reynolds Number under Long Wave Approximation. Journal of Applied Mechanics, 45, 32. http://dx.doi.org/10.1115/1.3424270
- Radhakrishnamacharya, G. and Srinivasulu, C. (2007) Influence of Wall Properties on Peristaltic Transport with Heat Transfer. Comptes Rendus Mecanique, 335, 369-373. http://dx.doi.org/10.1016/j.crme.2007.05.002
- Hayat, T., Qureshi, M.U. and Hussain, Q. (2009) Effect of Heat Transfer on the Peristaltic Flow of an Electrically Conducting Fluid in a Porous Space. Applied Mathematical Modelling, 33, 1862-1873. http://dx.doi.org/10.1016/j.apm.2008.03.024
- Abd Elmaboud, Y. and Mekheimer, Kh.S. (2008) Peristaltic Flow of a Couple Stress Fluid in an Annulus: Application of an Endoscope. Physica A: Statistical Mechanics and Its Applications, 387, 2403-2415. http://dx.doi.org/10.1016/j.physa.2007.12.017
- Krishna Kumari.P, S.V.H.N., Ramana Murthy, M.V., Chenna Krishna Reddy, M. and Ravi Kumar, Y.V.K. (2011) Peristaltic Pumping of a Magnetohydrodynamic Casson Fluid in an Inclined Channel. Advances in Applied Science Research, 2, 428-436.
- Ravi Kumar, Y.V.K., Krishna Kumari.P, S.V.H.N., Ramana Murthy, M.V. and Sreenadh, S. (2011) Peristaltic Transport of a Power-Law Fluid in an Assymmetric Channel Bounded by Permeable Walls. Advances in Applied Sciences, 2, 396-340.
- Eldabe, N.T. and Sallam, S.N. (1998) Magenetohydrodynamic Flow and Heat Transfer in a Viscoelastic Incompressible Fluid Confined between a Horizontal Stretching Sheet and a Parallel Porous Wall. Canadian Journal of Physics, 76, 98. http://dx.doi.org/10.1139/cjp-76-12-949
- El Shehawey, E.F. and El Sebaei, W. (2000) Peristaltic Transport in a Cylindrical Tube through a Porous Medium. International Journal of Mathematics and Mathematical Sciences, 26, 217-230. http://dx.doi.org/10.1155/S0161171200004737
- El-Dabe, 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. Punjab University Journal of Mathematics, 42, 1-16.
- Eldabe, N.T. and Mohamed, M.A.A. (2002) Heat and Mass Transfer in Hydromagnetic Flow of the Non-Newtonian Fluid with Heat Source over an Accelerating Surface through a Porous Medium. Chaos, Solitons and Fractals, 13, 907-917. http://dx.doi.org/10.1016/S0960-0779(01)00066-2