English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We experimentally test the effects of tilting a turbulent Rayleigh-B{\'e}nardconvection cell on the dynamics of the large-scale circulation (LSC)orientation $\theta_0$. The probability distribution of $\theta_0$ is measured,and used to obtain a tilt-induced potential acting on $\theta_0$, which is usedin a low-dimensional model of diffusion of $\theta_0$ in a potential. The formof the potential is sinusoidal in $\theta_0$, and linear in tilt angle forsmall tilt angles, which is explained by a simple geometric model of the vectordirection of the mean buoyancy force acting on the LSC. However, the magnitudeof the tilt-induced forcing is found to be two orders of magnitude larger thanpreviously predicted. When this parameter is adjusted to match values obtainedfrom the probability distribution of $\theta_0$, the diffusive model canquantitatively predict effects of tilt on $\theta_0$. In particular, tiltcauses a change in potential barrier height between neighboring corners of acubic cell, and changes in the barrier-crossing rate for $\theta_0$ to escape acorner are predicted with an accuracy of $\pm30\%$. As a cylindrical cell istilted, the tilt-induced potential provides a restoring force which inducesoscillations when it exceeds the strength of damping; this critical tilt angleis predicted within 20\%, and the prediction is consistent with measuredoscillation frequencies. These observations show that a self-consistentlow-dimensional model can be extended to include the dynamics of $\theta_0$ dueto tilt. However, the underprediction of the effect of tilt on $\theta_0$warrants revisiting the predicted magnitude.

Effects of tilt on the orientation dynamics of the large-scale circulation in turbulent Rayleigh-B{\'e}nard convection