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Numerical investigation of vorticity and bubble clustering in an air entraining hydraulic jump

Journal Article · · Computers and Fluids
 [1];  [2];  [3]
  1. Univ. of Minnesota, Minneapolis, MN (United States). St. Anthony Falls Lab. Dept. of Civil, Environmental and Geo-Engineering; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Environmental Sciences Division
  2. Univ. of Minnesota, Minneapolis, MN (United States). St. Anthony Falls Lab. Dept. of Civil, Environmental and Geo-Engineering
  3. Univ. of Minnesota, Minneapolis, MN (United States). St. Anthony Falls Lab. Dept. of Mechanical Engineering

In this paper, a high resolution computational fluid dynamics model is used to simulate a steady air entraining laboratory scale hydraulic jump. A detailed examination of shear layer instabilities reveals the dynamic relationship between spanwise vortices, free surface fluctuations, and air–water spatial patterns. Spanwise vortices generated at the toe roll-up under a variable depth roller, creating large free surface fluctuations through high velocity water ejections in the roller. The mean shear layer elevation and free surface elevations periodically alternate between positive and negative correlation throughout the roller, driven by dynamic vortex transport. Vortices descending towards the lower wall create an upwelling of non-bubbly fluid into the shear layer that contributes to regions of decreased bubble concentration between vortices. The position of a strong shear layer at the location of maximum air entrainment, directly above the jump toe, leads to highly aerated vortices that influence bubble behavior. Bubbles breakup quickly after entrainment at the toe and bubble clusters are observed most frequently below and at the end of the roller where bubble breakup and energy dissipation are diminished. Finally, the dominant separation angle of clustered bubbles is independent of downstream distance and aligns closely with the direction of initial shear, suggesting bubble clustering is a remnant of bubble breakup.

Research Organization:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Organization:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Water Power Technologies Office (EE-4WP)
Grant/Contract Number:
AC05-00OR22725; EE0002668
OSTI ID:
1462844
Alternate ID(s):
OSTI ID: 1495286
Journal Information:
Computers and Fluids, Journal Name: Computers and Fluids Vol. 172; ISSN 0045-7930
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (6)

Analytical prediction of the hydraulic jump detachment length in front of mounted obstacles in supercritical open-channel flows journal April 2019
LES of a classical hydraulic jump: Influence of modelling parameters on the predictive accuracy preprint January 2020
Planar hydraulic jumps in thin film flow journal December 2019
Extreme pressure forecasting methodology for the hydraulic jump downstream of a low head spillway journal January 2020
Start position of a sloping hydraulic jump journal January 2020
Numerical Simulation of Hydraulic Jumps. Part 2: Recent Results and Future Outlook journal December 2018

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