The no-slip boundary condition in fluid mechanics

Resonance ◽  
2004 ◽  
Vol 9 (5) ◽  
pp. 61-71 ◽  
Author(s):  
Sandeep Prabhakara ◽  
M. D. Deshpande
Keyword(s):  
Boundary Condition ◽  
Fluid Mechanics ◽  
Slip Boundary Condition ◽  
Slip Boundary

The no-slip boundary condition in fluid mechanics

Resonance ◽  
2004 ◽  
Vol 9 (4) ◽  
pp. 50-60 ◽  
Author(s):  
Sandeep Prabhakara ◽  
M. D. Deshpande
Keyword(s):  
Boundary Condition ◽  
Fluid Mechanics ◽  
Slip Boundary Condition ◽  
Slip Boundary

Slip mechanisms in complex fluid flows

Soft Matter ◽  
2015 ◽  
Vol 11 (40) ◽  
pp. 7851-7856 ◽  
Author(s):  
Savvas G. Hatzikiriakos
Keyword(s):  
Boundary Condition ◽  
Fluid Mechanics ◽  
Polymer Solutions ◽  
Polymer Melts ◽  
Complex Fluids ◽  
Fluid Flows ◽  
Slip Boundary Condition ◽  
Slip Boundary ◽  
Complex Fluid

The classical no-slip boundary condition of fluid mechanics is not always a valid assumption for the flow of several classes of complex fluids including polymer melts, their blends, polymer solutions, microgels, glasses, suspensions and pastes.

NEW MODELS IN MICROPOLAR FLUID AND THEIR APPLICATION TO LUBRICATION

2005 ◽  
Vol 15 (03) ◽  
pp. 343-374 ◽  
Author(s):  
GUY BAYADA ◽  
NADIA BENHABOUCHA ◽  
MICHÈLE CHAMBAT
Keyword(s):  
Boundary Condition ◽  
Friction Coefficient ◽  
Boundary Conditions ◽  
Existence And Uniqueness ◽  
Micropolar Fluid ◽  
Reynolds Equation ◽  
Slip Boundary Condition ◽  
Slip Boundary ◽  
New Models ◽  
Uniqueness Of The Solution

A thin micropolar fluid with new boundary conditions at the fluid-solid interface, linking the velocity and the microrotation by introducing a so-called "boundary viscosity" is presented. The existence and uniqueness of the solution is proved and, by way of asymptotic analysis, a generalized micropolar Reynolds equation is derived. Numerical results show the influence of the new boundary conditions for the load and the friction coefficient. Comparisons are made with other works retaining a no slip boundary condition.

scholarly journals Involving the Navier–Stokes equations in the derivation of boundary conditions for the lattice Boltzmann method

2011 ◽  
Vol 369 (1944) ◽  
pp. 2184-2192 ◽  
Author(s):  
Joris C. G. Verschaeve
Keyword(s):  
Boundary Condition ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Stokes Equations ◽  
Slip Boundary Condition ◽  
Navier Stokes ◽  
Grid Spacing ◽  
Navier Stokes Equations ◽  
Slip Boundary ◽  
Boltzmann Method

By means of the continuity equation of the incompressible Navier–Stokes equations, additional physical arguments for the derivation of a formulation of the no-slip boundary condition for the lattice Boltzmann method for straight walls at rest are obtained. This leads to a boundary condition that is second-order accurate with respect to the grid spacing and conserves mass. In addition, the boundary condition is stable for relaxation frequencies close to two.

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