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A direct numerical simulation analysis of coherent structures in bubble-laden channel flows

Published online by Cambridge University Press:  04 November 2020

Josef Hasslberger Open the ORCID record for Josef Hasslberger [Opens in a new window] ,
Paolo Cifani Open the ORCID record for Paolo Cifani [Opens in a new window] ,
Nilanjan Chakraborty  and
Markus Klein Open the ORCID record for Markus Klein [Opens in a new window]
Josef Hasslberger*
Affiliation:
Institute of Applied Mathematics and Scientific Computing, Bundeswehr University Munich, Werner-Heisenberg-Weg 39, 85577Neubiberg, Germany
Paolo Cifani
Affiliation:
Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, Nijenborgh 9, 9747 AGGroningen, Netherlands
Nilanjan Chakraborty
Affiliation:
School of Engineering, Newcastle University, Claremont Road, Newcastle-Upon-TyneNE1 7RU, UK
Markus Klein
Affiliation:
Institute of Applied Mathematics and Scientific Computing, Bundeswehr University Munich, Werner-Heisenberg-Weg 39, 85577Neubiberg, Germany
*
†Email address for correspondence: josef.hasslberger@unibw.de
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Abstract

To investigate the coherent structures in turbulent wall-bounded bubbly flows, a local flow topology analysis has been performed in this work. Using the invariants of the velocity-gradient tensor, all possible small-scale flow structures can be categorized into two nodal and two focal topologies for incompressible flows. The analysed direct numerical simulation database of freely moving and deforming bubble swarms is based on a multi-marker geometrical volume-of-fluid method. It appears that bubbles are acting as mixing elements and fragmenting the large topology structures. Since the behaviour in both phases is quite different, key quantities were evaluated in a conditional manner, i.e. separately for the gaseous dispersed phase and the liquid carrier phase. Several similarities with an analytical solution for laminar creeping flows have been observed although the investigated channel flow is turbulent. It has been concluded that the inclusion of bubbles results in a partial shift from focal to nodal flow character whereas the share of stable and unstable flow types remains fairly constant at approximately 50 % in both phases. No clear analogy can be discerned in terms of the global effects of bubble inclusion and wall confinement on flow topologies. At least with respect to flow topologies, regions in the vicinity of the interface show a clearly different behaviour depending on the phase. The size distribution of coherent structures in the bubble-laden channel flow has also been analysed. The measured flow topology size spectrum in the liquid phase can be approximated by a simple model with reasonable accuracy.

JFM classification

Mathematical Foundations: Topological fluid dynamics Multiphase and Particle-laden Flows: Multiphase flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 905 , 25 December 2020 , A37
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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