scholarly journals The Influence of Slippage on Trapping and Reflux Limits with Peristalsis through an Asymmetric Channel

2010 ◽  
Vol 7 (2) ◽  
pp. 95-108
Author(s):  
Z. M. Gharsseldien ◽  
Kh. S. Mekheimer ◽  
A. S. Awad
Keyword(s):  
Boundary Condition ◽  
Reynolds Number ◽  
Viscous Fluid ◽  
Slip Boundary Condition ◽  
Peristaltic Transport ◽  
Asymmetric Channel ◽  
Slip Parameter ◽  
Long Wavelength ◽  
Slip Boundary ◽  
Newtonian Viscous Fluid

The effects of slip boundary condition on peristaltic transport of incompressible Newtonian viscous fluid in an asymmetric channel is investigated, under the conditions of low Reynolds number and long wavelength. The pumping characteristics, trapping and reflux limits are studied for different values of the dimensionless slip parameterβ.

scholarly journals Hall Currents and Heat Transfer Effects on Peristaltic Transport in a Vertical Asymmetric Channel through a Porous Medium

2012 ◽  
Vol 2012 ◽  
pp. 1-23 ◽  
Author(s):  
E. Abo-Eldahab ◽  
E. Barakat ◽  
Kh. Nowar
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Porous Medium ◽  
Frame Of Reference ◽  
Peristaltic Transport ◽  
Shear Stresses ◽  
Asymmetric Channel ◽  
Transfer Effects ◽  
Long Wavelength ◽  
Heat Transfer Effects

The influences of Hall currents and heat transfer on peristaltic transport of a Newtonian fluid in a vertical asymmetric channel through a porous medium are investigated theoretically and graphically under assumptions of low Reynolds number and long wavelength. The flow is investigated in a wave frame of reference moving with the velocity of the wave. Analytical solutions have been obtained for temperature, axial velocity, stream function, pressure gradient, and shear stresses. The trapping phenomenon is discussed. Graphical results are sketched for various embedded parameters and interpreted.

Incompressible slip flow past a semi-infinite flat plate

1965 ◽  
Vol 22 (3) ◽  
pp. 463-469 ◽  
Author(s):  
J. D. Murray
Keyword(s):  
Boundary Condition ◽  
Shear Stress ◽  
Viscous Fluid ◽  
Flat Plate ◽  
Slip Velocity ◽  
Slip Flow ◽  
Slip Boundary Condition ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Slip Boundary

An asymptotic solution to the Navier-Stokes equation is obtained for the incompressible flow of a viscous fluid past a semi-infinite flat plate when a slip boundary condition is applied at the plate. The results for the shear stress (and hence the slip velocity) on the plate differ basically from those obtained by previous authors who considered the same problem using some form of the Oseen equations.

scholarly journals Effect of the Velocity Second Slip Boundary Condition on the Peristaltic Flow of Nanofluids in an Asymmetric Channel: Exact Solution

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Emad H. Aly ◽  
Abdelhalim Ebaid
Keyword(s):  
Boundary Condition ◽  
Temperature Distribution ◽  
Pressure Gradient ◽  
Exact Solutions ◽  
Slip Boundary Condition ◽  
Peristaltic Flow ◽  
Physical Parameters ◽  
Asymmetric Channel ◽  
Nanoparticle Concentration ◽  
Slip Boundary

The problem of peristaltic nanofluid flow in an asymmetric channel in the presence of the second-order slip boundary condition was investigated in this paper. To the best of the authors’ knowledge, this parameter was here incorporated for the first time in such field of a peristaltic flow. The system governing the current flow was found as a set of nonlinear partial differential equations in the stream function, pressure gradient, nanoparticle concentration, and temperature distribution. Therefore, this system has been successfully solved exactly via a very effective procedure. These exact solutions were then proved to reduce to well-known results in the absence of second slip which were published very recently in the literature. Effect of the second slip parameter on the present physical parameters was discussed through graphs and it was found that this type of slip is a very important one to predict the investigated physical model. Moreover, the variation of many physical parameters such as amplitudes of the lower and upper waves, phase difference on the temperature distribution, nanoparticle concentration, pressure rise, velocity, and pressure gradient were also discussed. Finally, the present results may be viewed as an optimal choice for their dependence on the exact solutions which are obtained due to the highly complex nonlinear system.

On the no-slip boundary condition

1973 ◽  
Vol 59 (4) ◽  
pp. 707-719 ◽  
Author(s):  
S. Richardson
Keyword(s):  
Boundary Condition ◽  
Simple Model ◽  
Viscous Fluid ◽  
Viscous Dissipation ◽  
Solid Surface ◽  
Fluid Flows ◽  
Slip Boundary Condition ◽  
Rough Wall ◽  
Microscopic Scale ◽  
Slip Boundary

It has been argued that the no-slip boundary condition, applicable when a viscous fluid flows over a solid surface, may be an inevitable consequence of the fact that all such surfaces are, in practice, rough on a microscopic scale: the energy lost through viscous dissipation as a fluid passes over and around these irregularities is sufficient to ensure that it is effectively brought to rest. The present paper analyses the flow over a particularly simple model of such a rough wall to support these physical ideas.

scholarly journals A laminar roughness boundary condition

1995 ◽  
Vol 300 ◽  
pp. 59-70 ◽  
Author(s):  
E. O. Tuck ◽  
A. Kouzoubov
Keyword(s):  
Boundary Condition ◽  
Reynolds Number ◽  
Laminar Flow ◽  
Slip Boundary Condition ◽  
Plane Boundary ◽  
Slip Boundary ◽  
Flow Domain ◽  
The Mean ◽  
Local Reynolds Number ◽  
Steady Laminar

A modified slip boundary condition is obtained to represent the effects of small roughness-like perturbations to an otherwise-plane fixed wall which is acting as a boundary to steady laminar flow of a viscous fluid. In its simplest form, for low local Reynolds number and small roughness slope, this boundary condition involves a constant apparent backflow at the mean surface or, equivalently, represents a shift of the apparent plane boundary toward the flow domain. Extensions of the theory are also made to include finite local Reynolds number and finite roughness slope.

Sign in / Sign up

Export Citation Format

Share Document