Slip effects on the peristaltic flow of a Jeffrey fluid in an asymmetric channel under the effect of induced magnetic field

Abstract

SUMMARYIn the present study, we investigated the effects of slip and induced magnetic field on the peristaltic flow of a Jeffrey fluid in an asymmetric channel. The governing two-dimensional equations for momentum, magnetic force function and energy are simplified by using the assumptions of long wavelength and low but finite Reynolds number. The reduced problem has been solved by Adomian decomposition method (ADM) and closed form solutions have been presented. Further, the exact solution of the proposed problem has also been computed and the mathematical comparison shows that both solutions are almost similar. The effects of pertinent parameters on the pressure rise per wavelength are investigated using numerical integration. The expressions for pressure rise, friction force, velocity, temperature, magnetic force function and the stream lines against various physical parameters of interest are shown graphically. Moreover, the behavior of different kinds of wave shape are also discussed.

Impact of velocity slip and joule heating on MHD peristaltic flow through a porous medium with chemical reaction

“…When the molecular mean free path length of the fluid is comparable to the distance between the plates as in nanochannels or microchannels, the fluid exhibits non-continuum effects such as slip-flow as demonstrated experimentally by Derek et al [17]. Investigations of the effects of slip on the peristaltic motion have been recently reported in [18][19][20][21].…”

Peristaltic transport of a Maxwell fluid in a porous asymmetric channel through a porous medium

“…Since, the first investigation done by Latham (1966) a large amount of literature is available on peristaltic motion of Newtonian and non-Newtonian fluid with different flow geometries Akram, Nadeem, & Hanif, 2013;Ali, Hayat, & Asghar, 2009;Eldesoky, 2012Eldesoky, , 2013Eldesoky & Mousa, 2010;El-Shehawey, El-Dabe, & El-Desoky, 2006;Mittra & Prasad, 1973;Nadeem & Akram, 2010;Nadeem, Akram, & Akbar, 2013;Shapiro, Jaffrin, & Weinberg, 1969). Peristaltic mechanism is a fluid transport induced by a progressive wave of area contraction or expansion along the walls of a distensible tube containing fluid.…”

Exact and numerical simulation of peristaltic flow of a non‐Newtonian fluid with inclined magnetic field in an endoscope

“…After the first investigation done by Latham [1], several theoretical and experimental investigations have been made to study the Newtonian and non-Newtonian fluids. Some recent studies on the topic include the works in [2][3][4][5][6][7][8][9][10][11].…”