A note on boundary layers and wakes in rotating fluids

1976 ◽  
Vol 32 (4) ◽  
pp. 155-161 ◽  
Author(s):  
Toshio Yamagata
Keyword(s):  
Boundary Layers ◽  
Rotating Fluids

Linear theory of rotating stratified fluid motions

1967 ◽  
Vol 29 (1) ◽  
pp. 1-16 ◽  
Author(s):  
V. Barcilon ◽  
J. Pedlosky
Keyword(s):  
Boundary Layer ◽  
Boundary Layers ◽  
Linear Theory ◽  
Stable Stratification ◽  
Ekman Layer ◽  
Stratified Fluid ◽  
Rotating Fluids ◽  
Ekman Layers ◽  
Steady Motions ◽  
Rotating Stratified Fluid

A linear theory for steady motions in a rotating stratified fluid is presented, valid under the assumption that ε < E, where ε and E are respectively the Rossby and Ekman numbers. The fact that the stable stratification inhibits vertical motions has important consequences and many features of the dynamics of homogeneous rotating fluids are no longer present. For instance, in addition to the absence of the Taylor-Proudman constraint, it is found that Ekman layer suction no longer controls the interior dynamics. In fact, the Ekman layers themselves are frequently absent. Furthermore, the vertical Stewartson boundary layers are replaced by a new kind of boundary layer whose structure is characteristic of rotating stratified fluids. The interior dynamics are found to be controlled by dissipative processes.

scholarly journals Ekman Boundary Layers for Rotating Fluids

2006 ◽  
Author(s):  
Jean-Yves Chemin ◽  
Benoit Desjardins ◽  
Isabelle Gallagher ◽  
Emmanuel Grenier
Keyword(s):  
Vector Field ◽  
Boundary Conditions ◽  
Boundary Layers ◽  
Dirichlet Boundary ◽  
Turbulent Viscosity ◽  
Viscous Fluids ◽  
Dirichlet Boundary Conditions ◽  
Rotating Fluids ◽  
Free Condition ◽  
Divergence Free

In this chapter, we investigate the problem of rapidly rotating viscous fluids between two horizontal plates with Dirichlet boundary conditions. We present the model with so-called “turbulent” viscosity. More precisely, we shall study the limit when ε tends to 0 of the system where Ω = Ωh×]0, 1[: here Ωh will be the torus T2 or the whole plane R2. We shall use, as in the previous chapters, the following notation: if u is a vector field on Ω we state u = (uh, u3). In all that follows, we shall assume that on the boundary ∂Ω, uε0 · n = uε,30 = 0, and that div uε0 = 0. The condition u30 = 0 on the boundary implies the following fact: for any vector field u ∊ H(Ω), the function ∂3u3 is L2(]0, 1[) with respect to the variable x3 with values in H−1(Ωh) due to the divergence-free condition.

scholarly journals Nonlinear boundary layers for rotating fluids

2017 ◽  
Vol 10 (1) ◽  
pp. 1-42
Author(s):  
Anne-Laure Dalibard ◽  
David Gérard-Varet
Keyword(s):  
Boundary Layers ◽  
Nonlinear Boundary ◽  
Rotating Fluids

scholarly journals Ekman boundary layers in rotating fluids

2002 ◽  
Vol 8 ◽  
pp. 441-466 ◽  
Author(s):  
Jean-Yves Chemin ◽  
Benoît Desjardins ◽  
Isabelle Gallagher ◽  
Emmanuel Grenier
Keyword(s):  
Boundary Layers ◽  
Rotating Fluids
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