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On bubble clustering and energy spectra in pseudo-turbulence

Published online by Cambridge University Press:  24 March 2010

JULIÁN MARTÍNEZ MERCADO ,
DANIEL CHEHATA GÓMEZ ,
DENNIS VAN GILS ,
CHAO SUN  and
DETLEF LOHSE
JULIÁN MARTÍNEZ MERCADO*
Affiliation:
Physics of Fluids Group, Department of Science and Technology, J.M. Burgers Centre for Fluid Dynamics and IMPACT Institute, University of Twente, PO Box 217, 7500 AE Enschede, The Netherlands
DANIEL CHEHATA GÓMEZ
Affiliation:
Physics of Fluids Group, Department of Science and Technology, J.M. Burgers Centre for Fluid Dynamics and IMPACT Institute, University of Twente, PO Box 217, 7500 AE Enschede, The Netherlands
DENNIS VAN GILS
Affiliation:
Physics of Fluids Group, Department of Science and Technology, J.M. Burgers Centre for Fluid Dynamics and IMPACT Institute, University of Twente, PO Box 217, 7500 AE Enschede, The Netherlands
CHAO SUN
Affiliation:
Physics of Fluids Group, Department of Science and Technology, J.M. Burgers Centre for Fluid Dynamics and IMPACT Institute, University of Twente, PO Box 217, 7500 AE Enschede, The Netherlands
DETLEF LOHSE
Affiliation:
Physics of Fluids Group, Department of Science and Technology, J.M. Burgers Centre for Fluid Dynamics and IMPACT Institute, University of Twente, PO Box 217, 7500 AE Enschede, The Netherlands
*
†Email address for correspondence: [email protected]
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Abstract

Three-dimensional particle tracking velocimetry (PTV) and phase-sensitive constant temperature anemometry in pseudo-turbulence – i.e. flow solely driven by rising bubbles – were performed to investigate bubble clustering and to obtain the mean bubble rise velocity, distributions of bubble velocities and energy spectra at dilute gas concentrations (α ≤ 2.2 %). To characterize the clustering the pair correlation function G(r, θ) was calculated. The deformable bubbles with equivalent bubble diameter db = 4–5 mm were found to cluster within a radial distance of a few bubble radii with a preferred vertical orientation. This vertical alignment was present at both small and large scales. For small distances also some horizontal clustering was found. The large number of data points and the non-intrusiveness of PTV allowed well-converged probability density functions (PDFs) of the bubble velocity to be obtained. The PDFs had a non-Gaussian form for all velocity components and intermittency effects could be observed. The energy spectrum of the liquid velocity fluctuations decayed with a power law of −3.2, different from the ≈ −5/3 found for homogeneous isotropic turbulence, but close to the prediction −3 by Lance & Bataille (J. Fluid Mech., vol. 222, 1991, p. 95) for pseudo-turbulence.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 650 , 10 May 2010 , pp. 287 - 306
Copyright
Copyright © Cambridge University Press 2010

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