DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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, suggestingmore » bubble clustering is a remnant of bubble breakup.« less

Authors:
ORCiD logo [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
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Renewable Power Office. Water Power Technologies Office
OSTI Identifier:
1462844
Alternate Identifier(s):
OSTI ID: 1495286
Grant/Contract Number:  
AC05-00OR22725; EE0002668
Resource Type:
Accepted Manuscript
Journal Name:
Computers and Fluids
Additional Journal Information:
Journal Volume: 172; Journal ID: ISSN 0045-7930
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
13 HYDRO ENERGY; 42 ENGINEERING; air entrainment; bubble cluster; hydraulic jump; multiphase simulations; shear layer; vortices

Citation Formats

Witt, Adam, Gulliver, John S., and Shen, Lian. Numerical investigation of vorticity and bubble clustering in an air entraining hydraulic jump. United States: N. p., 2018. Web. doi:10.1016/j.compfluid.2018.06.019.
Witt, Adam, Gulliver, John S., & Shen, Lian. Numerical investigation of vorticity and bubble clustering in an air entraining hydraulic jump. United States. https://doi.org/10.1016/j.compfluid.2018.06.019
Witt, Adam, Gulliver, John S., and Shen, Lian. Tue . "Numerical investigation of vorticity and bubble clustering in an air entraining hydraulic jump". United States. https://doi.org/10.1016/j.compfluid.2018.06.019. https://www.osti.gov/servlets/purl/1462844.
@article{osti_1462844,
title = {Numerical investigation of vorticity and bubble clustering in an air entraining hydraulic jump},
author = {Witt, Adam and Gulliver, John S. and Shen, Lian},
abstractNote = {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.},
doi = {10.1016/j.compfluid.2018.06.019},
journal = {Computers and Fluids},
number = ,
volume = 172,
place = {United States},
year = {2018},
month = {7}
}

Journal Article:

Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Turbulent Dispersed Multiphase Flow
journal, January 2010


Performance assessment of OpenFOAM and FLOW-3D in the numerical modeling of a low Reynolds number hydraulic jump
journal, June 2016


Drop impact onto a liquid layer of finite thickness: Dynamics of the cavity evolution
journal, March 2009


A continuum method for modeling surface tension
journal, June 1992


Structure and dynamics of the wake of bubbles and its relevance for bubble interaction
journal, July 1999


Effect of bubble deformation on the properties of bubbly flows
journal, November 2003


Classical hydraulic jump: basic flow features
journal, November 2009

  • Castro-Orgaz, Oscar; Hager, Willi H.
  • Journal of Hydraulic Research, Vol. 47, Issue 6
  • DOI: 10.3826/jhr.2009.3610

Bubbly flow measurements in hydraulic jumps with small inflow Froude numbers
journal, July 2011


Experimental study of the air–water shear flow in a hydraulic jump
journal, April 2000


Bubbly flow structure in hydraulic jump
journal, May 2007


Convective transport of air bubbles in strong hydraulic jumps
journal, October 2010


Numerical Simulation of Dissolved Oxygen Concentration in Water Flow over Stepped Spillways
journal, May 2013


Computational and experimental characterization of a liquid jet plunging into a quiescent pool at shallow inclination
journal, April 2012


Evaluating the performance of the two-phase flow solver interFoam
journal, January 2012

  • Deshpande, Suraj S.; Anumolu, Lakshman; Trujillo, Mario F.
  • Computational Science & Discovery, Vol. 5, Issue 1
  • DOI: 10.1088/1749-4699/5/1/014016

Distinguishing features of shallow angle plunging jets
journal, August 2013

  • Deshpande, Suraj S.; Trujillo, Mario F.
  • Physics of Fluids, Vol. 25, Issue 8
  • DOI: 10.1063/1.4817389

Clustering in high Re monodispersed bubbly flows
journal, September 2005

  • Figueroa-Espinoza, Bernardo; Zenit, Roberto
  • Physics of Fluids, Vol. 17, Issue 9
  • DOI: 10.1063/1.2055487

Modeling Dissolved Gas Supersaturation Below Spillway Plunge Pools
journal, May 1998


Effect of Froude number on bubble clustering in a hydraulic jump
journal, August 2010


Classical hydraulic jump: length of roller
journal, September 1990


Fundamentals of the hydrodynamic mechanism of splitting in dispersion processes
journal, September 1955


The flow field downstream of a hydraulic jump
journal, March 1995


Hydraulic Jump as “Mixing layer”
journal, December 1989


Coherent structures and turbulence
journal, December 1986


A review of statistical models for the break-up of an immiscible fluid immersed into a fully developed turbulent flow
journal, February 2002

  • Lasheras, J. C.; Eastwood, C.; Martı́nez-Bazán, C.
  • International Journal of Multiphase Flow, Vol. 28, Issue 2
  • DOI: 10.1016/S0301-9322(01)00046-5

Estimating void fraction in a hydraulic jump by measurements of pixel intensity
journal, January 2012


Particle Image Velocity Measurements of Undular and Hydraulic Jumps
journal, December 2006


A literature review of theoretical models for drop and bubble breakup in turbulent dispersions
journal, August 2009


Evolution of a quasi-steady breaking wave
journal, November 1995


Flow property and self-similarity in steady hydraulic jumps
journal, September 2012


Turbulence Structure of Hydraulic Jumps of Low Froude Numbers
journal, June 2004


Structure of flow in hydraulic jumps
journal, March 1991

  • Long, Dejiang; Rajaratnam, Nallamuthu; Steffler, Peter M.
  • Journal of Hydraulic Research, Vol. 29, Issue 2
  • DOI: 10.1080/00221689109499004

Three-dimensional Large Eddy Simulation of air entrainment under plunging breaking waves
journal, June 2006


On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency
journal, December 1999

  • MartÍNez-BazÁN, C.; MontaÑÉS, J. L.; Lasheras, J. C.
  • Journal of Fluid Mechanics, Vol. 401
  • DOI: 10.1017/S0022112099006680

On spatially growing disturbances in an inviscid shear layer
journal, November 1965


The mean and turbulent flow structure of a weak hydraulic jump
journal, March 2008

  • Misra, S. K.; Kirby, J. T.; Brocchini, M.
  • Physics of Fluids, Vol. 20, Issue 3
  • DOI: 10.1063/1.2856269

Direct numerical simulation of a turbulent hydraulic jump: turbulence statistics and air entrainment
journal, May 2016

  • Mortazavi, Milad; Le Chenadec, Vincent; Moin, Parviz
  • Journal of Fluid Mechanics, Vol. 797
  • DOI: 10.1017/jfm.2016.230

Flow Visualization in Bubbly Two-Phase Hydraulic Jump
journal, March 1998

  • Mossa, Michele; Tolve, Umberto
  • Journal of Fluids Engineering, Vol. 120, Issue 1
  • DOI: 10.1115/1.2819641

Optical fibre probe measurements of bubbly flow in hydraulic jumps
journal, January 2005


Free-surface fluctuations in hydraulic jumps: Experimental observations
journal, October 2009


The use of single-point measurements to characterize dynamic behavior in sprays
journal, September 2000


Dissolved gas supersaturation downstream of a spillway II: Computational model
journal, March 2000


Spilling Breakers, Bores, and Hydraulic Jumps
journal, January 1978

  • Peregrine, D. H.; Svendsen, I. A.
  • Coastal Engineering Proceedings, Vol. 1, Issue 16
  • DOI: 10.9753/icce.v16.30

A multiphase model for the hydrodynamics and total dissolved gas in tailraces
journal, November 2009


Numerical simulation and analysis of water flow over stepped spillways
journal, June 2009

  • Qian, ZhongDong; Hu, XiaoQing; Huai, WenXin
  • Science in China Series E: Technological Sciences, Vol. 52, Issue 7
  • DOI: 10.1007/s11431-009-0127-z

Reynolds stress measurements in hydraulic jumps
journal, October 1972


Dynamics of large turbulent structures in a steady breaker
journal, February 2011


Bubble Shapes and Orientations in Low Re Simple Shear Flow
journal, May 2002

  • Rust, A. C.; Manga, Michael
  • Journal of Colloid and Interface Science, Vol. 249, Issue 2
  • DOI: 10.1006/jcis.2002.8292

The role of coherent structures in bubble transport by turbulent shear flows
journal, January 1994


A new k-ϵ eddy viscosity model for high reynolds number turbulent flows
journal, March 1995


Bubble interaction in low-viscosity liquids
journal, November 1995


The flow in weak turbulent hydraulic jumps
journal, September 2000


On the dynamics of buoyant and heavy particles in a periodic Stuart vortex flow
journal, September 1993


Modeling Total Dissolved Gas Concentration Downstream of Spillways
journal, May 2008


Experimental Study of Turbulent Fluctuations in Hydraulic Jumps
journal, July 2015


Interaction between free-surface, two-phase flow and total pressure in hydraulic jump
journal, June 2015


Two-dimensional bubble clustering in hydraulic jumps
journal, November 2015


Bubble measurements downstream of hydraulic jumps
journal, July 2001

  • Waniewski, Tricia A.; Hunter, Christopher; Brennen, Christopher E.
  • International Journal of Multiphase Flow, Vol. 27, Issue 7
  • DOI: 10.1016/S0301-9322(01)00003-9

Simulating air entrainment and vortex dynamics in a hydraulic jump
journal, June 2015


Turbulence and aeration in hydraulic jumps: free-surface fluctuation and integral turbulent scale measurements
journal, September 2012


Effects of trailing jet instability on vortex ring formation
journal, March 2000

  • Zhao, Wei; Frankel, Steven H.; Mongeau, Luc G.
  • Physics of Fluids, Vol. 12, Issue 3
  • DOI: 10.1063/1.870264

Computation of confined coflow jets with three turbulence models
journal, November 1994

  • Zhu, J.; Shih, T. -H.
  • International Journal for Numerical Methods in Fluids, Vol. 19, Issue 10
  • DOI: 10.1002/fld.1650191005

Assessment of three turbulence model performances in predicting water jet flow plunging into a liquid pool
journal, January 2010

  • Zidouni, Kendil; Bousbia, Salah; Mataoui, Amina
  • Nuclear Technology and Radiation Protection, Vol. 25, Issue 1
  • DOI: 10.2298/NTRP1001013Z

Works referencing / citing this record:

Planar hydraulic jumps in thin film flow
journal, December 2019

  • Dhar, Mrinmoy; Das, Gargi; Das, Prasanta Kumar
  • Journal of Fluid Mechanics, Vol. 884
  • DOI: 10.1017/jfm.2019.833

Start position of a sloping hydraulic jump
journal, January 2020


Analytical prediction of the hydraulic jump detachment length in front of mounted obstacles in supercritical open-channel flows
journal, April 2019

  • Gond, Lorris; Perret, Gaele; Mignot, Emmanuel
  • Physics of Fluids, Vol. 31, Issue 4
  • DOI: 10.1063/1.5085744

Extreme pressure forecasting methodology for the hydraulic jump downstream of a low head spillway
journal, January 2020


Numerical Simulation of Hydraulic Jumps. Part 2: Recent Results and Future Outlook
journal, December 2018

  • Viti, Nicolò; Valero, Daniel; Gualtieri, Carlo
  • Water, Vol. 11, Issue 1
  • DOI: 10.3390/w11010028