Determination of the slip boundary condition between a gas and a solid surface with a random array of rough patches

1994 ◽  
Vol 52 (1) ◽  
pp. 25-29 ◽  
Author(s):  
KALVIS M. JANSONS
Keyword(s):  
Boundary Condition ◽  
Solid Surface ◽  
Slip Boundary Condition ◽  
Slip Boundary ◽  
Random Array

The half-wetted bearing. Part 1: Extended Reynolds equation

2003 ◽  
Vol 217 (1) ◽  
pp. 1-14 ◽  
Author(s):  
H. A. Spikes
Keyword(s):  
Boundary Condition ◽  
Solid Surface ◽  
Reynolds Equation ◽  
Hydrodynamic Lubrication ◽  
Critical Shear Stress ◽  
Slip Boundary Condition ◽  
Low Friction ◽  
Slip Boundary ◽  
Lubrication Condition ◽  
Bearing Part

Recent research has shown that, when a liquid is partially wetting or non-wetting against a very smooth solid surface, the conventional no-slip boundary condition can break down. Under such circumstances, the Reynolds equation is no longer applicable. In the current paper, the Reynolds equation is extended to consider the sliding, hydrodynamic lubrication condition where the lubricant has a no-slip boundary condition against the moving solid surface but can slip at a critical shear stress against the stationary surface. It is shown that such a ‘half-wetted’ bearing is able to combine good load support resulting from fluid entrainment with very low friction due to very low or zero Couette friction.

scholarly journals Experimental Determination of Limit Adhesive Shear Stress between Solid Wall and Liquid

2014 ◽  
Vol 61 (3-4) ◽  
pp. 175-181
Author(s):  
Jerzy M. Sawicki
Keyword(s):  
Boundary Condition ◽  
Shear Stress ◽  
Theoretical Analysis ◽  
Solid Wall ◽  
Slip Boundary Condition ◽  
Low Velocity ◽  
Slip Boundary ◽  
Gravitational Forces ◽  
Limit Value

AbstractThe slip boundary condition can be a very useful relation when some specific problems of hydromechanics are considered. According to the classical form of this condition, the slip of a fluid with respect to the solid wall should occur even at a very low velocity of motion. However, both theoretical analysis and certain empirical data suggest that there must be a limit value of the wall shear stress, below which the slip does not occur. According to the simplified balance of adhesive and gravitational forces, a simple experimental method for determining this stress has been proposed and applied in this paper.

On the motion of a fluid-fluid interface along a solid surface

1974 ◽  
Vol 65 (1) ◽  
pp. 71-95 ◽  
Author(s):  
Elizabeth B. Dussan V. ◽  
Stephen H. Davis
Keyword(s):  
Boundary Condition ◽  
Solid Surface ◽  
Basic Assumption ◽  
Slip Boundary Condition ◽  
Fluid Interface ◽  
Common Line ◽  
Slip Boundary ◽  
Mutual Displacement ◽  
The Common

A fluid-fluid interface that joins a solid surface forms a common line. If the common line moves along the solid, a mutual displacement process is involved and is studied here. Some simple experiments motivate the formulation of the basic assumption of the analysis. The basic assumption is a formalization of the idea that the fluid-fluid interface rolls on or unrolls off the solid. This forms an axiom for the mostly kinematical analysis that follows. The predictions are tested through a series of qualitative experiments. The role of the no-slip boundary condition at the solid surface is discussed.

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.

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