Broadside mobility of a disk in a viscous fluid near a plane wall with no-slip boundary condition

2012 ◽  
Vol 137 (8) ◽  
pp. 084906 ◽  
Author(s):  
B. U. Felderhof
Keyword(s):  
Boundary Condition ◽  
Viscous Fluid ◽  
Slip Boundary Condition ◽  
Plane Wall ◽  
Slip Boundary

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.

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.

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 Unsteady Rotational Motion of a Slip Spherical Particle in a Viscous Fluid

2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
E. A. Ashmawy
Keyword(s):  
Boundary Condition ◽  
Fluid Flow ◽  
Angular Velocity ◽  
Viscous Fluid ◽  
Spherical Particle ◽  
Rotational Motion ◽  
Fluid Flows ◽  
Slip Boundary Condition ◽  
Viscous Fluid Flow ◽  
Slip Boundary

The unsteady rotational motion of a slip spherical particle with a nonuniform angular velocity in an incompressible viscous fluid flow is discussed. The technique of Laplace transform is used. The slip boundary condition is applied at the surface of the sphere. A general formula for the resultant torque acting on the surface of the sphere is deduced. Special fluid flows are considered and their results are represented graphically.

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