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.

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 lubricant boundary condition for a biological body lined by a thin heterogeneous biofilm

2019 ◽  
Vol 12 (01) ◽  
pp. 1950003
Author(s):  
Mustapha El Jarroudi ◽  
Riane Hajjami ◽  
Aadil Lahrouz ◽  
Moussa El Jarroudi
Keyword(s):  
Boundary Condition ◽  
Asymptotic Behavior ◽  
Slip Boundary Condition ◽  
The Body ◽  
Local Problem ◽  
Viscous Fluid Flow ◽  
Slip Boundary ◽  
Varying Thickness ◽  
Cellular Microstructure ◽  
Biological Particle

We study the asymptotic behavior of an incompressible viscous fluid flow in a biological body lined by a thin biological film with a cellular microstructure, varying thickness, and a heterogeneous viscosity regulated by a time random process. Letting the thickness of the film tend to zero, we derive an effective biological slip boundary condition on the boundary of the body. This law relates the tangential fluxes to the tangential velocities via a proportional coefficient corresponding to the energy of some local problem. This law describes the ability of the biological film to function as a lubricant reducing friction at the wall of the body. The tangential velocities are functions of the random trajectories of a finely concentrated biological particle.

Numerical Simulation of Newtonian Fluid Flow in a T-Channel with no Slip/Slip Boundary Conditions on a Solid Wall

2017 ◽  
Vol 743 ◽  
pp. 480-485
Author(s):  
Evgeny Borzenko ◽  
Olga Dyakova
Keyword(s):  
Boundary Condition ◽  
Fluid Flow ◽  
Solid Wall ◽  
Simple Procedure ◽  
Slip Boundary Condition ◽  
Navier Slip ◽  
Slip Boundary ◽  
Pressure Profiles ◽  
Slip Yield Stress ◽  
Solid Walls

The planar flow of a Newtonian incompressible fluid in a T-shaped channel is investigated. Three fluid interaction models with solid walls are considered: no slip boundary condition, Navier slip boundary condition and slip boundary condition with slip yield stress. The fluid flow is provided by uniform pressure profiles at the boundary sections of the channel. The problem is numerically solved using a finite difference method based on the SIMPLE procedure. Characteristic flow regimes have been found for the described models of liquid interaction with solid walls. The estimation of the influence of the Reynolds number, pressure applied to the boundary sections and the parameters of these models on the flow pattern was performed. The criterial dependences describing main characteristics of the flow under conditions of the present work have been demonstrated.

Slip boundary condition and rough sphere angular velocity correlations

1977 ◽  
Vol 47 (3) ◽  
pp. 575-577 ◽  
Author(s):  
James T. Hynes ◽  
Raymond Kapral ◽  
Michael Weinberg
Keyword(s):  
Boundary Condition ◽  
Angular Velocity ◽  
Slip Boundary Condition ◽  
Slip Boundary ◽  
Rough Sphere
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