Flow past a Cylinder on a β Plane, with Application to Gulf Stream Separation and the Antarctic Circumpolar Current

@article{Tansley2001FlowPA,
  title={Flow past a Cylinder on a $\beta$ Plane, with Application to Gulf Stream Separation and the Antarctic Circumpolar Current},
  author={Claire E. Tansley and David P. Marshall},
  journal={Journal of Physical Oceanography},
  year={2001},
  volume={31},
  pages={3274-3283}
}
Abstract The classical problem of flow past a cylinder is revisited in the context of understanding two oceanographic phenomena: separation of the Gulf Stream from the North American coastline at Cape Hatteras and the interaction of the Antarctic Circumpolar Current with topographic obstacles. Numerical solutions are presented for eastward, barotropic flow past a cylinder in a β-plane channel. The solutions are dependent on two nondimensional parameters: the Reynolds number, Re, and a… Expand
Turbulent flow regimes behind a coastal cape in a stratified and rotating environment
Abstract A numerical study aimed at investigating the roles of both the stratification and topographic slope in generation of turbulent coherent structures in the lee of capes is presented. WeExpand
Prograde and retrograde flow past cylindrical obstacles on a β-plane
The problem of viscous prograde (eastward) and retrograde (westward) flow past a cylindrical obstacle on a β-plane is considered. The barotropic vorticity equation is solved using a numerical methodExpand
On the Separation of a Barotropic Western Boundary Current from a Cape
Abstract The problem of western boundary current separation is investigated using a barotropic vorticity model. Specifically, a boundary current flowing poleward along a boundary containing a cape isExpand
Island Wakes in Deep Water
Abstract Density stratification and planetary rotation distinguish three-dimensional island wakes significantly from a classical fluid dynamical flow around an obstacle. A numerical model is used toExpand
Gill’s model of the Antarctic Circumpolar Current, revisited: The role of latitudinal variations in wind stress
Gill’s (1968) model of the Antarctic Circumpolar Current (ACC) is reinterpreted for a stratified, reduced-gravity ocean, where the barotropic streamfunction is replaced by the pycnocline depth, andExpand
There is an ongoing debate concerning the distribution of eddy stirring across the Antarctic Circumpolar
[1] There is an ongoing debate concerning the distribution of eddy stirring across the Antarctic Circumpolar Current (ACC) and the nature of its controlling processes. The problem is addressed hereExpand
Eddy stirring in the Southern Ocean
There is an ongoing debate concerning the distribution of eddy stirring across the Antarctic Circumpolar Current (ACC) and the nature of its controlling processes. The problem is addressed here byExpand
Eddy-induced mixing in the Southern Ocean
There is an ongoing debate concerning the distribution of eddy-induced mixing across the Antarctic Circumpolar Current (ACC) and the nature of its controlling processes. The problem is addressed hereExpand
Reply to “Comments on ‘The Interaction of an Eastward-Flowing Current and an Island: Sub- and Supercritical Flow’”
An eastward-flowing current of a homogeneous fluid with velocity U, contained in a channel of width L, impinges on an island of width of O(L), and the resulting interaction and dynamics are studiedExpand
A Theoretical Model of Long Rossby Waves in the Southern Ocean and Their Interaction with Bottom Topography
An analytical model of long Rossby waves is developed for a continuously-stratified, planetary geostrophic ocean in the presence of arbitrary bottom topography under the assumption that the potentialExpand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 29 REFERENCES
Delayed separation in eastward, rotating flow on a β-plane
We consider the small-Rossby-number flow of a fluid past an obstacle in a coordinate frame in which the rotation rate varies linearly in the direction normal to the flow in a manner that models theExpand
Flow separation on a -plane
In non-rotating fluids, boundary-layer separation occurs when the nearly inviscid flow just outside a viscous boundary-layer experiences an appreciable deceleration due to a region of adverseExpand
The Problem of Gulf Stream Separation: A Barotropic Approach
Inertial separation of a western boundary current from an idealized continent is studied in a homogeneous ocean circulation model. A number of processes are identified that either encourage orExpand
A Rossby Wake due to an Island in an Eastward Current
Abstract A mathematical barotropic model based upon the conservation of absolute vorticity is used to determine the effect of the spherical shape of the rotating earth [approximated by the beta (β)Expand
Flow Past a Circular Cylinder on a β -Plane
This paper gives analytical and numerical solutions for both westward and eastward flows past obstacles on a beta-plane. The flows are considered in the quasi-geostrophic limit where nonlinearity andExpand
On the Dynamics of Wind-Driven Circumpolar Currents
The factors controlling the transport of the Antarctic Circumpolar Current (ACC) have recently been a topic of heated debate. At the latitudes of Drake Passage, potential vorticity contours areExpand
FLOW PAST CYLINDRICAL OBSTACLES ON A BETA-PLANE
The flow past a cylindrical obstacle in an enclosed channel is examined when the entire configuration is rotating rapidly about an axis which is aligned with that of the obstacle. When viewed from aExpand
Waves and turbulence on a beta-plane
Two-dimensional eddies in a homogeneous fluid at large Reynolds number, if closely packed, are known to evolve towards larger scales. In the presence of a restoring force, the geophysicalExpand
An Implicit Formula for Boundary Current Separation
Abstract Boundary layer separation occurs in classical fluids when the boundary layer is decelerated by an adverse pressure gradient. Here a “separation formula” is derived for downstream variationsExpand
On detached shear layers and western boundary currents in a rotating homogeneous liquid
Abstract This paper reports a study of slow motions produced mechanically in a rapidly rotating homogeneous liquid when the side-wall of the container is a circular cylinder of radius b′, one of theExpand
...
1
2
3
...