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

Leonid Kagan1,*, Peter V. Gordon2,†, and Gregory Sivashinsky1,‡

  • 1School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel
  • 2Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242, USA

  • *Corresponding author: kaganleo@tauex.tau.ac.il
  • gordon@math.kent.edu
  • grishas@tauex.tau.ac.il

Phys. Rev. Fluids 7, 113501 – Published 9 November, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.113501

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+22Φ(Φ)2+αΦ=0, known to occur in various physical systems.

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References (18)

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