The response of surface buoyancy flux-driven convection to localized mechanical forcing

  • Katarzyna E. MatusikEmail author
  • Stefan G. Llewellyn Smith
Research Article


We present laboratory experiments in which both a buoyancy and mechanical forcing are imposed on the surface of a rectangular tank filled with freshwater. The buoyancy forcing is generated by a saltwater source at the surface that drives a sinking half-line plume along one endwall, and the mechanical forcing is generated by a continuous flow of freshwater across the surface of the tank. A steady-state circulation is achieved when the advection of salt by the plume is matched by the diffusion of salt through the upper boundary. The surface stress drives flow in the same direction as the plume, resulting in a convective cell whose depth is determined by the interplay of the two forcings. When the surface stress is relatively weak, the steady-state flow is described by a high-Rayleigh number ‘recycling box’ model for horizontal convection (Hughes et al. in J Fluid Mech 581:251–276, 2007). Once the stress is strong enough to overturn the stratified waters, a region of localized mixing develops. The immediate consequence of this regional turbulence is a net input of stabilizing buoyancy in the form of fresher water into the plume, which renders it too weak to penetrate to the bottom boundary. In general, the plume is unable to recover a full-depth circulation within the experiment time frame. The resulting flow can be described by the recycling box model with a spatially varying turbulent diffusivity parameterized by the characteristics of the turbulent eddy that develops in the mixing region. This work applies experimental techniques to show that, with adequate mechanical forcing, a buoyancy-driven circulation will develop localized mixing that significantly alters the overall structure and density distribution of the circulation for relatively long timescales. The experimental results corroborate the recycling box model as a valid descriptor of the flow structure in such systems.



The authors would like to thank Dr. Eugene Pawlak for the use of his laser equipment, and Thomas Chalfant and Nicholas Busan for their assistance in building experiment components. We are also extremely grateful to Drs. Kial Stewart, Ross Griffiths, and James Rottman for thoughtful discussion and insight on the subject matter. This work was funded by National Science Foundation awards OCE-0926481 and OCE-1259580.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Katarzyna E. Matusik
    • 1
    • 2
    Email author
  • Stefan G. Llewellyn Smith
    • 3
  1. 1.Department of Mechanical and Aerospace EngineeringJacobs School of Engineering, UCSDLa JollaUSA
  2. 2.X-Ray Science DivisionArgonne National LaboratoryLemontUSA
  3. 3.Department of Mechanical and Aerospace EngineeringJacobs School of Engineering and Scripps Institution of Oceanography, UCSDLa JollaUSA

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