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Stability of solutal advective flow in a horizontal shallow layer

Aleksey Mizev*, Elena Mosheva, and Konstantin Kostarev

Vitaly Demin† and Eugenii Popov

  • Institute of Continuous Media Mechanics, Academica Koroleva Street 1, 614013 Perm, Russia

  • Perm State University, Bukireva Street 1, 614990 Perm, Russia

  • *alex_mizev@icmm.ru
  • †demin@psu.ru
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Phys. Rev. Fluids 2, 103903 – Published 20 October, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.103903

Abstract

This paper presents an experimental and numerical study on the structure and stability of a solutal advective flow in a horizontal shallow layer. The flow is induced by the initial longitudinal steplike density distribution caused by inhomogeneous solute concentration. It is shown that, when the density difference or the channel thickness increases, the main flow instability in the form of longitudinal convective rolls occurs in the near-wall region. This phenomenon originates from the Rayleigh-Taylor instability, which develops near both the upper and lower horizontal boundaries, where the unstable density stratification occurs due to no-slip boundary conditions. It is established that the solutal Péclet number, a measure of the relative strength of advection and diffusion, must exceed the critical value Pe*≈300 for the instability to set in. Moreover, the Péclet number uniquely determines the spatiotemporal characteristics of the secondary flow, namely, its wavelength and formation time. The results of the laboratory experiments are in good agreement with the numerical predictions.

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Phys. Rev. Fluids 2, 103903– Published 20 October, 2017
  • Received 10 March 2017

©2017 American Physical Society

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