Viscous dissipation as a mechanism for spatiotemporal chaos in Rayleigh-Bénard convection between poorly conducting boundaries at infinite Prandtl number

Leonid Kagan*, Peter V. Gordon, Gregory Sivashinsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Nonlinear Rayleigh-Bénard convection in an infinite-Prandtl-number fluid layer between poorly conducting boundaries is considered as a model for convection in the earth's upper mantle. It is shown that accounting for the generally neglected impact of viscous dissipation may lead to the development of large-scale spatiotemporal chaotic dynamics governed by the familiar Kuramoto-Sivashinsky equation φτ+?4φ+2?2φ-(?φ)2+αφ=0, known to occur in various physical systems.

Original languageEnglish
Article number113501
JournalPhysical Review Fluids
Volume7
Issue number11
DOIs
StatePublished - Nov 2022

Funding

FundersFunder number
Simons Foundation317882
United States-Israel Binational Science Foundation2020-005

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