Journal ArticleDOI
The Field Distributions and Balances in a Baroclinic Annulus Wave
Reads0
Chats0
TLDR
In this article, the detailed structure of a steady wave occurring in a rotating annulus of square cross-section and having a free surface is presented, and the field distributions are obtained by numerical integration of the three-dimensional nonlinear Navier-Stokes equations.Abstract:
The detailed structure of a steady wave occurring in a rotating annulus of square cross-section and having a free surface is presented. The field distributions are obtained by numerical integration of the three-dimensional nonlinear Navier-Stokes equations. The distributions of pressure, temperature, and the three velocity components are displayed for the total fields and for the fields of deviation from the zonal means. Their dynamical balances are also discussed. The deviation wave is a type of Eady wave and the solution is used to discuss the structure of such waves in finite amplitude steady-state form under the influence of variations in baroclinicity, shear, and boundary layers. The side layers make little contribution to the characteristics of the wave in the deviation field although significant Ekman layer features do appear. The flow is essentially in hydrostatic and geostrophic balance except in the boundary layers. Heat conduction is important only in the side layers.read more
Citations
More filters
Journal ArticleDOI
A Comparison of Laboratory Experiments and Numerical Simulations of Steady Baroclinic Waves Produced in a Differentially Heated Rotating Fluid Annulus
Kazuo Ukaji,Katsumi Tamaki +1 more
Journal ArticleDOI
Regimes of axisymmetric flow in an internally heated rotating fluid
TL;DR: In this paper, a boundary-layer scale analysis is presented for steady, zonally symmetric flow in a Cartesian channel of rectangular cross-section, subject to uniform internal heating, and cooling at the lateral boundaries, using an approach based on that of Hignett, Ibbetson & Killworth for a related system.
Journal ArticleDOI
Inertia–gravity waves in a liquid-filled, differentially heated, rotating annulus
TL;DR: In this article, Randriamampianina et al. used high-resolution pseudospectral methods for detailed investigation into the instabilities arising in a differentially heated, rotating annulus, the baroclinic cavity.
Journal ArticleDOI
Finite-amplitude, neutral baroclinic eddies and mean flows in an internally heated rotating fluid: 1. Numerical simulations and quasi-geostrophic ‘free modes’
TL;DR: In this article, a series of numerical simulations of steady wave flows in a rotating fluid annulus, subject to internal heating and various thermal boundary conditions, is examined to characterise their structures, energetics and potential vorticity transport properties.
References
More filters
Journal ArticleDOI
The dynamics of long waves in a baroclinic westerly current
TL;DR: In this article, it was shown that the instability increases with shear, lapse rate, and latitude, and decreases with wave length, and that the westerlies of middle latitudes are a seat of constant dynamic instability.
Journal ArticleDOI
The Stability of Currents in the Atmosphere and the Ocean: Part II
TL;DR: In this article, the stability of flows containing both horizontal and vertical shear is studied and necessary conditions for the existence of marginally stable waves are derived for the two-layer system.
Journal ArticleDOI
The Mechanics of Vacillation
TL;DR: In this paper, the equations governing a symmetrically heated rotating viscous fluid are reduced to a system of fourteen ordinary differential equations, by a succession of approximations, which contain two external parameters-an imposed thermal Rossby number and a Taylor number.
Journal ArticleDOI
Finite-Amplitude Baroclinic Waves
TL;DR: In this article, a theory for the finite-amplitude behavior of unstable baroclinic waves in a quasi-geostrophic two-layer model is presented, and it is shown that in the absence of dissipation, the equilibrated finite amplitude state exhibits an oscillation.
Journal ArticleDOI
Numerical integration of the three-dimensional Navier-Stokes equations for incompressible flow
TL;DR: In this article, a method of numerically integrating the Navier-Stokes equations for certain three-dimensional incompressible flows is described through application to the particular problem of describing thermal convection in a rotating annulus.