# The axisymmetric flow in a rotating annulus due to a horizontally applied temperature gradient

@article{Hunter1967TheAF, title={The axisymmetric flow in a rotating annulus due to a horizontally applied temperature gradient}, author={Christopher Hunter}, journal={Journal of Fluid Mechanics}, year={1967}, volume={27}, pages={753 - 778} }

The axisymmetric flow of fluid, confined within a rapidly rotating annulus and caused by a horizontally applied temperature gradient, is discussed under the assumptions of small thermal Rossby number and small Taylor number. It is initially assumed that the transfer of heat is purely conductive, and the flow is calculated for when the upper fluid surface is either rigid or free. The analysis of the problem in which the upper surface is rigid is extended so as to allow con-vective as well as…

## 46 Citations

Differential rotation driven by convection in a rapidly rotating annulus

- Physics, Environmental Science
- 1982

Abstract The generation of a mean zonal flow by centrifugally driven thermal convection in a rotating annulus heated from the outside and cooled from within is investigated theoretically as well as…

Axisymmetric compressible flow in a rotating cylinder with axial convection

- PhysicsJournal of Fluid Mechanics
- 1985

The steady compressible flow of an ideal gas in a rotating annulus with thermally conducting walls is considered for small Rossby number ε and Ekman number E and moderate rotational Mach numbers M.…

A Source-Sink Flow of an Incompressible Rotating Fluid

- Engineering, Physics
- 1975

A steady axisymmetric source-sink flow of an incompressible viscous fluid in a rotating circular cylinder is studied. The source-sink distribution is idealized as the line distribution along the…

Oscillatory Instabilities in a Rapidly Rotating Liquid Annulus

- Physics
- 1992

Under low-gravity conditions, rotating fluid systems having liquid-solid, liquid-liquid, or liquid-gas interfaces with imposed (horizontal or vertical) temperature gradients are significantly…

Compressible countercurrent flow in a strongly rotating cylinder

- Physics, Mathematics
- 1977

The motion of a compressible viscous gas in a rapidly rotating cylinder closed at both ends is investigated by the linear theory. The rigid rotation state is perturbed slightly by source or sinks and…

The shear-layer structure in a rotating fluid near a differentially rotating sidewall

- PhysicsJournal of Fluid Mechanics
- 1983

This paper describes the flow of a homogeneous fluid contained in a rapidly rotating cylinder. The upper part of the cylinder rotates slightly faster, giving rise to a discontinuity in the sidewall…

Thermocapillary and centrifugal-buoyancy-driven motion in a rapidly rotating liquid cylinder

- Physics, EngineeringJournal of Fluid Mechanics
- 1986

The thermocapillary flow field in a uniformly rotating liquid cylinder heated from above is calculated using linear boundary-layer theory appropriate for small values of the Ekman number. The results…

Forced convection in a rapidly rotating annulus

- PhysicsJournal of Fluid Mechanics
- 1982

The source-sink flow within a rapidly rotating annular region, bounded by a pair of concentric circular cylinders and by horizontal end plates, is considered. Fluid is injected into the container at…

Centrifugally driven thermal convection in a rotating cylinder

- Physics, EngineeringJournal of Fluid Mechanics
- 1969

Thermally induced convection in a rotating cylinder of fluid heated from above and strongly influenced by centrifugal accelerations is treated using boundary-layer methods. As in the theory of…

Sloping convection in a rotating fluid

- Physics, Environmental Science
- 1975

Abstract Laboratory experiments on thermal convection in a fluid which rotates about a vertical axis and is subject to a horizontal temperature gradient show that when the rotation rate Ω exceeds a…

## References

SHOWING 1-5 OF 5 REFERENCES

The symmetric state of a rotating fluid differentially heated in the horizonal

- Physics, Environmental ScienceJournal of Fluid Mechanics
- 1959

The motion of a fluid inside a rotating annulus of square cross-section, whose dimensions are small compared with the distance from the axis of rotation, is considered. The rigid side walls are held…

Thermal Convection in a Rotating Annulus of Liquid: Effect of Viscosity on the Transition Between Axisymmetric and Non-Axisymmetric Flow Regimes

- Physics, Environmental Science
- 1965

Abstract When a vertical rotating annulus of liquid is subject to a horizontal temperature gradient, provided that the coefficient of kinematical viscosity, ν¯, is not too great and the angular…

The viscous boundary layer at the free surface of a rotating baroclinic fluid

- Environmental Science, Physics
- 1964

The properties of the viscous boundary layer at the free surface of a rotating baroclinic fluid are analyzed and compared with those of the well-known Ekman boundary layer at a rigid surface.…

On a time-dependent motion of a rotating fluid

- PhysicsJournal of Fluid Mechanics
- 1963

We consider here the manner in which the state of rigid rotation of a contained viscous fluid is established. It is found that the motion consists of three distinct phases, namely, the development of…

On almost rigid rotations

- Physics, GeologyJournal of Fluid Mechanics
- 1957

In order to answer some of Proudman's questions (1956) concerning shear layers in rotating fluids, a study is made of the flow between two coaxial rotating discs, each having an arbitrary small…