scholarly journals On incompressible viscous fluid flows with slip boundary conditions

2003 ◽  
Vol 159 (1) ◽  
pp. 161-172 ◽  
Author(s):  
Jiro Watanabe
Keyword(s):  
Viscous Fluid ◽  
Boundary Conditions ◽  
Fluid Flows ◽  
Incompressible Viscous Fluid ◽  
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

ASYMPTOTIC BEHAVIOR OF A VISCOUS FLUID WITH SLIP BOUNDARY CONDITIONS ON A SLIGHTLY ROUGH WALL

2010 ◽  
Vol 20 (01) ◽  
pp. 121-156 ◽  
Author(s):  
J. CASADO-DÍAZ ◽  
M. LUNA-LAYNEZ ◽  
F. J. SUÁREZ-GRAU
Keyword(s):  
Asymptotic Behavior ◽  
Viscous Fluid ◽  
Boundary Conditions ◽  
Critical Size ◽  
Three Dimensional ◽  
Plane Boundary ◽  
Limit Equation ◽  
Slip Boundary Conditions ◽  
Slip Boundary ◽  
Oscillating Boundary

For an oscillating boundary of period and amplitude ε, it is known that the asymptotic behavior when ε tends to zero of a three-dimensional viscous fluid satisfying slip boundary conditions is the same as if we assume no-slip (adherence) boundary conditions. Here we consider the case where the period is still ε but the amplitude is δε with δε/ε converging to zero. We show that if [Formula: see text] tends to infinity, the equivalence between the slip and no-slip conditions still holds. If the limit of [Formula: see text] belongs to (0, +∞) (critical size), then we still have the slip boundary conditions in the limit but with a bigger friction coefficient. In the case where [Formula: see text] tends to zero the boundary behaves as a plane boundary. Besides the limit equation, we also obtain an approximation (corrector result) of the pressure and the velocity in the strong topology of L2 and H1 respectively.

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