Equatorially Trapped Convection in a Rapidly Rotating Shallow Shell.

  title={Equatorially Trapped Convection in a Rapidly Rotating Shallow Shell.},
  author={Miquel Benjamin and Xie Jin-Han and Featherstone Nicholas and Julien Keith and Knobloch Edgar},
  journal={arXiv: Fluid Dynamics},
Motivated by the recent discovery of subsurface oceans on planetary moons and the interest they have generated, we explore convective flows in shallow spherical shells of dimensionless gap width $\varepsilon^2\ll 1$ in the rapid rotation limit $\mathrm{E}\ll1$, where $\mathrm{E}$ is the Ekman number. We employ direct numerical simulations (DNS) of the Boussinesq equations to compute the local heat flux $\mathrm{Nu}(\lambda)$ as a function of the latitude $\lambda$ and use the results to… 

Figures and Tables from this paper

Exploring Ocean Circulation on Icy Moons Heated From Below

We numerically explore convection and general circulation of an ocean, encased in a spherical shell of uniform thickness, heated from below by a spatially uniform heat flux, and whose temperature at

Ocean Dynamics of Outer Solar System Satellites

Ocean worlds are prevalent in the solar system. Focusing on Enceladus, Titan, Europa, and Ganymede, I use rotating convection theory and numerical simulations to predict ocean currents and the



The onset of thermal convection in rotating spherical shells

The correct asymptotic theory for the linear onset of instability of a Boussinesq fluid rotating rapidly in a self-gravitating sphere containing a uniform distribution of heat sources was given

Convectively driven shear and decreased heat flux

Abstract We report on direct numerical simulations of two-dimensional, horizontally periodic Rayleigh–Bénard convection between free-slip boundaries. We focus on the ability of the convection to

Space-laboratory and numerical simulations of thermal convection in a rotating hemispherical shell with radial gravity

The Sun and the giant planets rotate and possess deep shells of convection. Some basic aspects of prototypical global convection have been studied with a laboratory model operated in the microgravity

Multiple zonal jets and convective heat transport barriers in a quasi-geostrophic model of planetary cores

We study rapidly-rotating Boussinesq convection driven by internal heating in a full sphere. We use a numerical model based on the quasi-geostrophic approximation for the velocity field, whereas the

Numerical simulation of an asymptotically reduced system for rotationally constrained convection

For rotationally constrained convection, the Taylor–Proudman theorem enforces an organization of nonlinear flows into tall columnar or compact plume structures. While coherent structures in

Spiralling columnar convection in rapidly rotating spherical fluid shells

  • Keke Zhang
  • Physics, Environmental Science
    Journal of Fluid Mechanics
  • 1992
It is shown that the fundamental features of both thermal instabilities and the corresponding nonlinear convection in rapidly rotating spherical systems (in the range of the Taylor number 109 < T <

Geological evidence for solid-state convection in Europa's ice shell

The morphology and geological interpretation of distinct surface features—pits, domes and spots—discovered in high-resolution images of Europa obtained by the Galileo spacecraft are reported, finding that the formation of the features can be explained by thermally induced solid-state convection within an ice shell, possibly overlying a liquid water layer.

Asymptotic theory of thermal convection in rapidly rotating systems

  • J. Yano
  • Physics
    Journal of Fluid Mechanics
  • 1992
An asymptotic theory of marginal thermal convection in rotating systems is constructed for the limit of rapid rotation. Many self-gravitating astronomical bodies, including the major planets, the