Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-18T19:06:43.762Z Has data issue: false hasContentIssue false
  • English
  • Français

Thermally-driven linear vortex

Published online by Cambridge University Press:  29 March 2006

S. Blumsack  and
A. Barcilon
S. Blumsack
Affiliation:
Department of Mathematics, Department of Meteorology and Geophysical Fluid Dynamics Institute, Florida State University, Tallahassee, Florida
A. Barcilon
Affiliation:
Department of Mathematics, Department of Meteorology and Geophysical Fluid Dynamics Institute, Florida State University, Tallahassee, Florida
Get access Rights & Permissions [Opens in a new window]

Abstract

We investigate steady axially symmetric small Rossby number flows in which the driving consists of prescribed axial heat sources. By letting the velocity be proportional to the shear at the bottom surface we study the effects of that boundary condition on the resulting flows.

A multi-boundary-layer structure is found in the core, surrounding the heat sources. That structure depends on the relative magnitudes of the aspect ratio, stratification parameter and Ekman number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 48 , Issue 4 , 27 August 1971 , pp. 801 - 814
Copyright
© 1971 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abramowitz, M. & Stegun, I. A. 1964 Handbook of mathematical functions. Washington: Nat. Bureau of Standards.
Barcilon, V. & Pedlosky, J. 1967a Linear theory of rotating stratified fluid motion J. Fluid Mech. 29, 1–16.Google Scholar
Barcilon, V. & Pedlosky, J. 1967b A unified linear theory of homogeneous and stratified rotating fluids J. Fluid Mech. 9, 609–621.Google Scholar
Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
Pedlosky, J. 1968 An overlooked aspect of the wind-driven oceanic circulation J. Fluid Mech. 32, 809–821.Google Scholar
Stewartson, K. 1957 On almost rigid rotations J. Fluid Mech. 3, 17–26.Google Scholar
Taylor, G. I. 1915 Eddy motion in the atmosphere. Phil. Trans. Roy. Soc A 215, 1–26.Google Scholar
Veronis, G. 1967 Analogous behaviour of homogeneous rotating fluids and stratified non-rotating fluids Tellus, 19, 326–335.Google Scholar