Interaction of peristaltic flow with pulsatile magneto-fluid through a porous medium

Abstract

Summary. The interaction of purely periodic mean flow with a peristaltic induced flow is investigated within the framework of a two-dimensional analogue. The mathematical model considers a viscous incompressible fluid under the effect of a transverse magnetic field through a porous medium between infinite parallel walls on which a sinusoidal traveling wave is imposed. A perturbation solution to the complete set of Navier-Stokes equations is found for the case in which the frequency of the traveling wave and that of the imposed pressure gradient are equal. The ratio of the traveling wave amplitude to channel width is assumed to be small. For this case a first-order steady flow is found to exist, as contrasted to a second-order effect in the absence of the imposed periodic pressure gradient. The effect of the magnetic parameter, permeability parameter and the various parameters included in the problem are discussed numerically.

Peristaltic Hemodynamic Flow of Couple-Stress Fluids Through a Porous Medium with Slip Effect

“…Movement of underground water and oils, limestone, rye bread, wood, the human lung, bile duct, gall bladder with stones, and small blood vessels are some important examples of flow through porous medium. Some important studies on peristaltic flow of Newtonian fluid with constant viscosity/variable viscosity and non-Newtonian fluids through the porous medium have been presented by El-Shehawey and Husseny (2000), Afifi and Gad (2001), Mekheimer (2003), El-Shehawey et al (2006a), Hayat et al (2007), and . The features of Newtonian, non-Newtonian, and porosity on flow pattern have been discussed.…”

Peristaltic Pumping of Williamson fluid through a porous medium in a horizontal channel with heat transfer

“…A rectangular co-ordinate system (X, Y) is chosen such that X-axis lies along the centre line of the channel in the direction of wave propagation and Y-axis transverse to it. Since we are considering uniform channel therefore the upper wall is maintained at temperature 1 T and due to symmetry at the center of the channel the change of the temperature taken to be zero (given in Nadeem and Akbar, 2009). Fig.…”

“…Solution for system of order 1 We Substituting Equation (3.17) in the Eq. (3.11) and solving the Eq.…”

“…Elshehawey et al [4] have studied the peristaltic motion of a Carreau fluid through a porous medium in a channel. The interaction of peristaltic flow with pulsatile fluid under the effect of a transverse magnetic field through a porous medium bounded by a two-dimensional channel was studied by Afifi and Gad [1]. Mekheimer and Arabi [11] studied the non-linear peristaltic transport of MHD flow through a porous medium.…”

Peristaltic Transport of a Magneto Non-Newtonian Fluid through A porous medium in a horizontal finite channe

“…Afifi [6] studied the aspects of a magneto-fluid with suspended particles. The fluid motion through a porous medium has been studied by many authors [7][8][9][10][11][12][13][14][15]. Tripathi [16,17] studied the influence of heat transfer in swallowing of food bolus (water) through the oesophagus and heat flow through porous finite channel.…”