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Coupled convection and internal gravity waves excited in water around its density maximum at 4°C

P. Léard*, B. Favier, P. Le Gal, and M. Le Bars

  • Aix Marseille Univ, CNRS, Centrale Marseille, IRPHE, Marseille, France

  • *leard@irphe.univ-mrs.fr
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Phys. Rev. Fluids 5, 024801 – Published 5 February, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.024801

Abstract

Coupled mixed convective and stratified systems are common in natural flows. To study experimentally the associated dynamics, we use a singular property of water: its nonlinear equation of state is characterized by a maximum density close to 4°C. By heating the top of a tank at 35°C and cooling the bottom at 0°C, a two-layer configuration spontaneously appears. The convective motion in the bottom layer consists mostly of a large-scale circulation and rising cold plumes. This turbulent flow generates propagating internal gravity waves in the upper stably stratified layer. Particle image velocimetry measurements are performed and spectral characteristics of the convection and internal gravity waves are presented. An horizontal large-scale reversing flow in the stratified layer is observed which is viscously driven by a third, intermediate layer. This buffer layer is located between the convective and stratified layers and is thermally coupled with the convective one, hence sustaining a strong horizontal shear. Three-dimensional direct numerical simulations with geometry and physical parameters close to the experimental ones corroborate our experimental results.

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Phys. Rev. Fluids 5, 024801– Published 5 February, 2020
  • Received 3 October 2019
  • Accepted 19 December 2019
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