The linear stability of no-slip boundary conditions in the numerical solution of nonsteady fluid flows

1970 ◽  
Vol 6 (2) ◽  
pp. 268-287 ◽  
Author(s):  
P.J Taylor
Keyword(s):  
Boundary Conditions ◽  
Numerical Solution ◽  
Linear Stability ◽  
Fluid Flows ◽  
Slip Boundary Conditions ◽  
Slip Boundary

Microscopic Slip Boundary Conditions in Unsteady Fluid Flows

2019 ◽  
Vol 123 (26) ◽  
Author(s):  
J. A. de la Torre ◽  
D. Duque-Zumajo ◽  
D. Camargo ◽  
Pep Español
Keyword(s):  
Boundary Conditions ◽  
Fluid Flows ◽  
Slip Boundary Conditions ◽  
Slip Boundary ◽  
Unsteady Fluid

Newtonian and viscoelastic fluid flows through an abrupt 1:4 expansion with slip boundary conditions

2020 ◽  
Vol 32 (4) ◽  
pp. 043103 ◽  
Author(s):  
L. L. Ferrás ◽  
A. M. Afonso ◽  
M. A. Alves ◽  
J. M. Nóbrega ◽  
F. T. Pinho
Keyword(s):  
Boundary Conditions ◽  
Viscoelastic Fluid ◽  
Fluid Flows ◽  
Slip Boundary Conditions ◽  
Slip Boundary

Numerical Solution of Reynolds Equation With Slip Boundary Conditions for Cases of Large Bearing Number (Λ > 300)

1979 ◽  
Vol 101 (1) ◽  
pp. 64-66 ◽  
Author(s):  
A. Sereny ◽  
V. Castelli
Keyword(s):  
Boundary Layer ◽  
Boundary Conditions ◽  
Exact Solutions ◽  
Numerical Solution ◽  
Reynolds Equation ◽  
Slip Boundary Conditions ◽  
Grid Spacing ◽  
Slip Boundary ◽  
Finite Differencing ◽  
Bearing Number

The behavior of two numerical discretizations for the solution of Reynolds equation with slip boundary conditions for cases of large bearing number is described. The narrow boundary layer caused by the large bearing number is well handled by a variable grid spacing. The performance of these methods is compared against exact solutions for the ∞-wide case. It is clearly demonstrated that discretization which satisfies integral conservation is preferable to the differential procedure of finite differencing.

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