Vela-Martín, Alberto; Avila, Marc (2022): Memoryless drop breakup in turbulence [dataset]. PANGAEA, https://doi.org/10.1594/PANGAEA.951271
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Published: 2022-11-25 • DOI registered: 2023-04-11
Abstract:
The breakup of drops and bubbles in turbulent fluids is a key mechanism in many environmental and engineering processes. Even in the well-studied dilute case, quantitative descriptions of drop fragmentation remain elusive and empirical models continue to proliferate. We here investigate drop breakup by leveraging a novel computer code, which enables the generation of ensembles of experiments with thousands of independent, fully-resolved simulations. We show that in homogeneous isotropic turbulence breakup is a memoryless process whose rate depends only on the Weber number. A simple model based on the computed breakup rates can accurately predict experimental measurements and demonstrates that dilute emulsions evolve through a continuous fragmentation process with exponentially increasing time scales. Our results suggest a non-vanishing breakup rate below the critical Kolmogorov-Hinze diameter, challenging the current paradigm of inertial drop fragmentation.
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Related to:
Vela-Martín, Alberto; Avila, Marc (2022): Memoryless drop breakup in turbulence. Science Advances, 8(50), eabp9561, https://doi.org/10.1126/sciadv.abp9561
Parameter(s):
| # | Name | Short Name | Unit | Principal Investigator | Method/Device | Comment |
|---|---|---|---|---|---|---|
| 1 | Binary Object | Binary | Vela-Martín, Alberto | Numerical simulated | ||
| 2 | Figure | Fig | Vela-Martín, Alberto | Numerical simulated | ||
| 3 | Title | Title | Vela-Martín, Alberto | Numerical simulated | ||
| 4 | File name | File name | Vela-Martín, Alberto | Numerical simulated | ||
| 5 | Variable | Variable | Vela-Martín, Alberto | Numerical simulated | ||
| 6 | File format | File format | Vela-Martín, Alberto | Numerical simulated | ||
| 7 | Binary Object (File Size) | Binary (Size) | Bytes | Vela-Martín, Alberto | Numerical simulated | |
| 8 | Description | Description | Vela-Martín, Alberto | Numerical simulated |
License:
Creative Commons Attribution 4.0 International (CC-BY-4.0)
Status:
Curation Level: Enhanced curation (CurationLevelC) * Processing Level: PANGAEA data processing level 2 (ProcLevel2)
Size:
60 data points
Data
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| 1 Binary | 2 Fig | 3 Title | 4 File name | 5 Variable | 6 File format | 7 Binary (Size) [Bytes] | 8 Description |
|---|---|---|---|---|---|---|---|
| codes.tar.gz | Code for the direct numerical simulation (DNS) of the Cahn-Hilliard-Navier-Stokes equations (CHNS) and code for the stochastic simulation of dilute emulsions | codes.tar.gz | 22.2 MBytes | Sources of the Fourier pseudospectral DNS code solving the CHNS in a triply periodic box (GPU cuda) and of the matlab code for the stochastic model based on the DNS data. | |||
| movie_we05_1.tar.gz | 1A | Drop deformation and breakup in homogeneous isotopic turbulence We=1.82 (A) derived by direct numerical simulation | movie_we05_1.tar.gz | Phase field, Velocity Cartesian | hdf5 snapshots, tar | 16.6 GBytes | Time series of spatially resolved phase-field variable (variable C in the hd5 files) and fluid velocity field (variables u, v, w in the hd5 files) over the whole domain, resolution N=256, Re=58, We=1.82 and viscosity ratio 1. Shown in Figure 1A of the paper. |
| movie_we05_2.tar.gz | 1B | Drop deformation and breakup in homogeneous isotopic turbulence We=1.82 (B) derived by direct numerical simulation | movie_we05_2.tar.gz | Phase field, Velocity Cartesian | hdf5 snapshots, tar | 18.2 GBytes | Time series of spatially resolved phase and velocity field over the whole domain, resolution N=256, Re=58, We=1.82 and viscosity ratio 1. Shown in Figure 1B of the paper. |
| movie_we15.tar.gz | 1C | Drop deformation and breakup in homogeneous isotopic turbulence We=5.45 (C) derived by direct numerical simulation | movie_we15.tar.gz | Phase field, Velocity Cartesian | hdf5 snapshots, tar | 9.7 GBytes | Time series of spatially resolved phase and velocity field over the whole domain, resolution N=256, Re=58, We=5.45 and viscosity ratio 1. Shown in Figure 1C of the paper. |
| breakup_times.tar.gz | 2,S2,S3 | Breakup times at as a function of We, Re, numerical resolution, viscosity ratio and initial drop shape derived by direct numerical simulation | breakup_times.tar.gz | Time | mat for each parameter set, tar | 327.8 kBytes | Breakup times for different We, Re, viscosity ratios, numerical resolutions and initially ellipsoidal drops obtained with DNS. Each mat file has results for fixed parameters, as indicated in the directory structure of the data. The Weber number is given in the variable wed of the mat file. Breakup times are in the variable time and the variable trun is 0 if the simulation is not truncated (breakup took place) and 1 if it is trucnated (breakup did not take place when the run was terminated). |
| drops_distribution_model.tar.gz | 3A | Drop size distribution model as a function of time and initial drop distribution derived by numerical simulation of the stochastic model | drops_distribution_model.tar.gz | Drop diameter | mat for each distribution, tar | 2.1 MBytes | Drop size distribution of the stochastic breakup model to reproduce the results of figure 3A |
| vankova.tar.gz | 3B, S4B | Drop size distribution as a function of time and initial average drop diameter derived by numerical simulation of the stochastic model | vankova.tar.gz | Drop diameter | mat for each distribution, tar | 47.1 kBytes | Evolution of mean drop diameter in the stochastic model and comparison with data in Vankova et al. 2007 |
| energy_spectra.tar.gz | S1 | Average energy spectra at different Reynolds numbers in Kolmogorov units for Re=31, 58 and 96 derived by direct numerical simulation | energy_spectra.tar.gz | Energy density | mat, tar | 4.8 kBytes | Average energy spectra of isotropic turbulence at Reynolds numbers Re=31, 58, 96 in .mat (hdf5) format together with a routine to plot figure S1 |
| data_volume.tar.gz | S4A | Volume of largest daughter drop after breakup as a function of We derived by direct numerical simulation | data_volume.tar.gz | Volume fraction | mat for each parameter set, tar | 11.6 kBytes | Volume of largest daugther drop after breakup normalised by the total volume at as a function of We, Re=58, N=256 derived by direct numerical simulation. |