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April 24, 2026Journal of Fluid Mechanics1 citationsOpen Access

Hysteretic transitions between Rayleigh–Bénard and horizontal convection in an experimental model of subglacial lakes

VRValentine RabauxYBYu-Zhou BuLCLouis-Alexandre Couston

Key Points

  • The study aims to explore the flow dynamics between Rayleigh–Bénard convection and horizontal convection in subglacial lakes.
  • Conducted experiments using a fluid layer heated from below with a uniform heat flux and a temperature gradient on top.
  • Measured the non-dimensional control parameter to identify transitions between flow structures.
  • Identified hysteretic transitions at non-dimensional control parameters of $4\times 10^{-4}$ for decreasing and $7\times 10^{-4}$ for increasing values.
  • Observed that at large values of the control parameter, the temperature of the top plate stabilizes, indicating a shift from visible thermal plumes to internal gravity waves.

Abstract

We investigate experimentally the flow structure in a fluid layer of thermal conductivity k, heated from below with a uniform heat flux F, and exposed to a horizontal temperature gradient, , on the top plate. This is a model system for the dynamics in subglacial lakes where such a competition between Rayleigh–Bénard convection (RBC) and horizontal convection (HC) is thought to happen. We evidence a hysteretic transition from a RBC flow structure to a HC flow structure when the non-dimensional control parameter, = k /F, is 4 10^-4 when is decreasing, and 7 10^-4 when is increasing. These values are lower than the threshold value found in recent two-dimensional direct numerical simulations (Couston et al. 2022 J. Fluid Mech. , vol. 947, p. A13), of order 10^-2, highlighting the importance of exploring three-dimensional dynamics at higher realistic Prandtl numbers, and suggesting that HC may be more common in subglacial lakes than previously predicted. For large values of, we observe that the warmest part of the top plate has approximately the same temperature as the bottom plate, such that a stable temperature gradient settles below the warm side of the top plate. Thermal plumes are no longer visible in this region, and seem to be replaced by internal gravity waves.

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Cite This Study

Rabaux et al. (2026) studied this question.

synapsesocial.com/papers/69eb0a94553a5433e34b4a2ahttps://doi.org/10.1017/jfm.2026.11453
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