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Energy spectra of buoyancy-driven bubbly flow in a vertical Hele-Shaw cell

2022/12/09 by Rashmi Ramadugu, Vikash Pandey, Ramadugu, Rashmi +3
Economics, Econometrics and Finance · Engineering · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Lattice Boltzmann Simulation Studies #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2212.04989

openalex publication_date 2022/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 k ∼ kd. We perform an energy budget analysis to understand the dominant balances and explain the observed scaling behavior. 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.

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