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Bubble plumes in a stratified environment: Source parameters, scaling, intrusion height, and neutral height

Shigan Chu1,* and Andrea Prosperetti2,†

  • 1Department of Mechanical Engineering, Johns Hopkins University, Baltimore, Maryland 21218, USA
  • 2Department of Mechanical Engineering, University of Houston, Houston, Texas 77204, USA

  • *schu13@jhu.edu
  • †Corresponding author: aprosperetti@uh.edu; also, Faculty of Science and Technology, Impact Institute and J. M. Burgers Center for Fluid Dynamics, University of Twente, 7500AE Enschede, The Netherlands.
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Phys. Rev. Fluids 2, 104503 – Published 27 October, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.104503

Abstract

A cross-sectionally averaged model is used to study several aspects of the physics of a bubble plume rising in a stratified quiescent liquid. Scaling analyses for the peel height, at which the plume momentum vanishes, and the neutral height, at which its average density equals the ambient density, are presented. Contrary to a widespread practice in the literature, it is argued that the neutral height cannot be identified with the experimentally reported intrusion height. Recognizing this difference provides an explanation of the reason why the intrusion height is found so frequently to be much above predictions and brings the theoretical results in line with observations. The mathematical model depends on three dimensionless parameters, some of which are related to the inlet conditions at the plume source. Their influence on the peel and neutral heights is illustrated by means of physical considerations, scaling analyses, and numerical results.

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Phys. Rev. Fluids 2, 104503– Published 27 October, 2017
  • Received 10 May 2017

©2017 American Physical Society

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