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Energy spectra of buoyancy-driven bubbly flow in a vertical Hele-Shaw cell
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).ORCID iD: 0000-0002-5120-2142
Number of Authors: 32023 (English)In: Frontiers in Physics, E-ISSN 2296-424X, Vol. 11, article id 1112304Article in journal (Refereed) Published
Abstract [en]

We present direct numerical simulations (DNS) study of confined buoyancy-driven bubbly flows in a Hele-Shaw setup. We investigate the spectral properties of the flow and make comparisons with experiments. The energy spectrum obtained from the gap-averaged velocity field shows E(k) ∼ k for k < kd, E(k) ∼ k−5 for k > kd, and an intermediate scaling range with E(k) ∼ k−3 around kkd. We perform an energy budget analysis to understand the dominant balances and explain the observed scaling behavior. For k < kd, energy injection balances dissipation due to drag, whereas for k > kd, the net injection balances net dissipation. We also show that the Navier-Stokes equation with a linear drag can be used to approximate large scale flow properties of bubbly Hele-Shaw flow.

Place, publisher, year, edition, pages
2023. Vol. 11, article id 1112304
Keywords [en]
buoyancy driven bubbly flows, Hele-Shaw setup, energy budget analysis, turbulence, pseudo-turbulence
National Category
Fluid Mechanics
Identifiers
URN: urn:nbn:se:su:diva-230491DOI: 10.3389/fphy.2023.1112304ISI: 000975595300001Scopus ID: 2-s2.0-85153508288OAI: oai:DiVA.org:su-230491DiVA, id: diva2:1867376
Available from: 2024-06-10 Created: 2024-06-10 Last updated: 2025-02-09Bibliographically approved

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Pandey, Vikash

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