Slip effects on the peristaltic flow of a non-Newtonian Maxwellian fluid

El-Shehawy, E. F.; Eldabe, Nabil T.; Eldesoky, Islam M.

doi:10.1007/s00707-006-0343-6

Cited by 73 publications

(35 citation statements)

References 19 publications

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“…The concept of slip flow of a fluid at a solid wall plays an important role to explain the macroscopic effects in the study of fluid-solid surface interactions. No slip condition is considered in most of the investigations on peristaltic flow but wall slip condition is considered in some few investigations (Ebaid 2008;El-Shehawey et al 2006b;Hayat et al 2008;Ali et al 2008). The effect of slip parameter on peristaltic flow pattern has been discussed.…”

mentioning

confidence: 98%

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

Tripathi

2012

Transp Porous Med

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The present investigation deals with a theoretical study of the peristaltic hemodynamic flow of couple-stress fluids through a porous medium under the influence of wall slip condition. This study is motivated towards the physiological flow of blood in the micro-circulatory system, by taking account of the particle size effect. Reynolds number is small enough and the wavelength to diameter ratio is large enough to negate inertial effects. Analytical solutions for axial velocity, pressure gradient, frictional force, stream function and mechanical efficiency are obtained. Effects of different physical parameters reflecting couple-stress parameter, permeability parameter, slip parameter, as well as amplitude ratio on pumping characteristics and frictional force, streamlines pattern and trapping of peristaltic flow pattern are studied with particular emphasis. The computational results are presented in graphical form. This study puts forward an important observation that pressure reduces by increasing the magnitude of couple-stress parameter, permeability parameter, slip parameter, whereas it enhances by increasing the amplitude ratio.

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confidence: 98%

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

Tripathi

2012

Transp Porous Med

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“…For example, the first case deals with the scenario where the channel wall contractions move with a zero phase lag θ 12 = 0 • and the passive particles are uniformly distributed around the region of contractions as described before by Eqs. (19)(20)(21)(22). Simulations have shown that after the wall contractions complete a whole contraction-expansion cycle, i.e., t = T , particles return back to their initial positions and there will be no net motion (i.e., no net flow is produced) as shown in Fig.…”

Section: Particle Tracking Simulationsmentioning

confidence: 94%

“…Once the upper wall profile H 2 (x, t) is prescribed, the induced flow motions can be fully calculated by using Eqs. (7)- (19).…”

Section: Mathematical Modelmentioning

confidence: 98%

“…The induced net flow motion is predicted and the effect of Reynolds number, relaxation and retardation times and compressibility are studied in detail. A realistic flow model that accounts for the slip effects on the peristaltic flow of a Newtonian and non-Newtonian Maxwellian fluid is given by [19]. Their analysis has Problem Schematic: a 2D channel with moving upper wall contraction profile H 2 (x, t) and stationary lower wall profile H 1 (x), b g 1 (t) and g 2 (t), the motion protocols assigned to the first and second contractions, respectively been found to be applicable in numerous and various branches of science, including simulations of fluid flow in porous media and the study of blood flow dynamics in living physiological environments [19].…”

Section: Introductionmentioning

confidence: 99%

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Flow transport in a microchannel induced by moving wall contractions: a novel micropumping mechanism

Aboelkassem

Staples

2011

Acta Mech

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A novel micropumping mechanism based on a theoretical model that describes flow transport in a microchannel induced by moving wall contractions in the low Reynolds number flow regime is presented. The channel is assumed to have a length that is much greater than its width (δ = W/L 1) and the upper wall is subjected to prescribed, non-peristaltic, localized moving contractions. Lubrication theory for incompressible viscous flow at low Reynolds number (R e ∼ δ) is used to model the problem mathematically and to derive expressions for the velocity components, pressure gradient, wall shear stress, and net flow produced by the wall contractions. The effect of contraction parameters such as amplitude and phase lag on the time-averaged net flow over a single cycle of wall motions is studied. The results presented here are supported by passive particle tracking simulations to investigate the possibility of using this system as a pumping mechanism. The present study is motivated by collapse mechanisms observed in entomological physiological systems that use multiple contractions to transport fluid, and the emerging novel microfluidic devices that mimic these systems.

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“…In these investigations, many authors have used a no-slip boundary condition. Recently, some researchers have investigated boundary layer ow assuming a slip condition at the boundary [29][30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Unsteady mixed convection flow through a permeable stretching flat surface with partial slip effects through MHD nanofluid using spectral relaxation method

2017

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An unsteady, laminar, mixed convective stagnation point nano uid ow through a permeable stretching at surface using internal heat source or sink and partial slip is investigated. The e ects of thermophoresis and Brownian motion parameters are revised on the traditional model of nano uid for which nano uid particle volume fraction is passively controlled on the boundary. Spectral relaxation method is applied here to solve the nondimensional conservation equations. The results show the illustration of the impact of skin friction coe cient, different physical parameters, and the heat transfer rate. The nano uid motion is enhanced with increase in the value of the internal heat sink or source. On the other hand, the rate of heat transfer on the stretching sheet and the skin friction coe cient are reduced by an increase in internal heat generation. This study further shows that the velocity slip increases with decrease in the rate of heat transfer. The outcome results are benchmarked with previously published results.

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Slip effects on the peristaltic flow of a non-Newtonian Maxwellian fluid

Cited by 73 publications

References 19 publications

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

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

Flow transport in a microchannel induced by moving wall contractions: a novel micropumping mechanism

Unsteady mixed convection flow through a permeable stretching flat surface with partial slip effects through MHD nanofluid using spectral relaxation method

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