Technical Papers
Nov 17, 2015

Wall Properties Effect on the Peristaltic Motion of a Coupled Stress Fluid with Heat and Mass Transfer through a Porous Medium

Publication: Journal of Engineering Mechanics
Volume 142, Issue 3

Abstract

The present paper deals with the study of peristaltic motion, with heat and mass transfer of a coupled stress fluid through a porous medium in a channel with compliant walls. The motion is induced by sinusoidal waves traveling along the channel walls. A system of nonlinear partial differential equations, which controlled this motion, is solved analytically by using the perturbation technique. The velocity, temperature, and concentration distributions are obtained as functions of the problem parameters. The effects of the permeability parameter of the medium, coupled stress parameter, and spring stiffness of the wall on these distributions are discussed and illustrated graphically through a set of figures.

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References

Afifi, N. A. S. (1998). “Study of peristaltic flow for different cases.” Ph.D. thesis, Ain Shams Univ., Cairo, Egypt.
Eldabe, N. T., and Abou-zeid, M. Y. (2014). “Magnetohydrodynamic peristaltic flow with heat and mass transfer of micropolar biviscosity fluid through a porous medium between two co-axial ducts.” Arabian J. Sci. Eng., 39(6), 5045–5062.
El-Sayed, M. F., Eldabe, N. T. M., Ghaly, A. Y., and Sayed, H. M. (2011). “Effects of chemical reaction, heat, and mass transfer on non-Newtonian fluid flow through porous medium in a vertical peristaltic tube.” Transp. Porous Media, 89(2), 185–212.
El-Shehawey, E. F., Sobh, A. M. F., and Elbarbary, E. M. E. (2000). “Peristaltic motion of a generalized Newtonian fluid through a porous medium.” J. Phys. Soc. Japan, 69(2), 401–407.
Hayat, T., Ali, N., and Asghar, S. (2007). “Hall effects on peristaltic flow of a Maxwell fluid in a porous medium.” Phys. Lett. A, 363(5–6), 397–403.
Jaffrin, M. Y., and Shapiro, A. H. (1971). “Peristaltic pumping.” Ann. Rev. Fluid Mech., 3(1), 13–37.
Mekheimer, Kh. S. (2002). “Peristaltic transport of a couple stress fluid in a uniform and non-uniform channels.” Biorehology, 39(6), 755–765.
Mekheimer, Kh. S. (2003). “Nonlinear peristaltic transport through a porous medium in an inclined planar channel.” J. Porous Media, 6(3), 189–202.
Mimdlin, R. D., and Tierstea, H. F. (1962). “Effect of couple stresses in linear elasticity.” Arch. Ration. Mech. Anal., 11(1), 415–448.
Nadeem, S., and Akram, S. (2011). “Peristaltic flow of a couple stress fluid under the effect of induced magnetic field in an asymmetric channel.” Arch. Appl. Mech., 81(1), 97–109.
Pandey, S. K., and Chaube, M. K. (2011). “Study of wall properties on peristaltic transport of a couple stress fluid.” Meccanica, 46(6), 1319–1330.
Pozrikidis, C. (1987). “A study of peristaltic flow.” J. Fluid Mech., 180, 515–527.
Rathod, V. P., and Pallavi, K. (2011). “The influence of wall properties on MHD peristaltic transport of dusty fluid.” Adv. Appl. Sci. Res., 2(3), 265–279.
Sobh, A. M. (2008). “Interaction of couple stresses and slip flow on peristaltic transport in uniform and non-uniform channels.” Turkish J. Eng. Environ. Sci., 32(2), 117–123.
Stokes, V. K. (1966). “Couple stresses in fluids.” Phys. Fluids, 9(9), 1709–1715.
Taylor, G. I. (1951). “Analysis of the swimming of microscopic organisms.” Proc. R. Soc. A, 209(1099), 447–461.
Vasudev, C., Rajeswara Rao, U., Prabhakara Rao, G., and Subba Reddy, M. V. (2011). “Peristaltic flow of a Newtonian fluid through a porous medium in a vertical tube under the effect of a magnetic field.” Int. J. Curr. Sci. Res., 1(3), 105–110.
Vasudev, C., Rajeswara Rao, U., Subba Reddy, M. V., and Prabhakara Rao, G. (2010). “Effect of heat transfer on peristaltic transport of a Newtonian fluid through a porous medium in an asymmetric vertical channel.” Eur. J. Sci. Res., 44(1), 79–92.
Yin, F. C. P., and Fung, Y. C. (1971). “Comparison of theory and experiment in peristaltic transport.” J. Fluid Mech., 47(1), 93–112.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 142Issue 3March 2016

History

Received: May 13, 2015
Accepted: Sep 15, 2015
Published online: Nov 17, 2015
Published in print: Mar 1, 2016
Discussion open until: Apr 17, 2016

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Authors

Affiliations

Nabil T. M. Eldabe [email protected]
Professor, Dept. of Mathematics, Faculty of Education, Ain Shams Univ., Heliopolis, Cairo 11757, Egypt (corresponding author). E-mail: [email protected]
Mohamed A. Hassan
Associate Professor, Dept. of Mathematics, Faculty of Education, Ain Shams Univ., Heliopolis, Cairo 11757, Egypt.
Mohamed Y. Abou-Zeid
Associate Professor, Dept. of Mathematics, Faculty of Education, Ain Shams Univ., Heliopolis, Cairo 11757, Egypt.

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