Deformation of ellipsoidal droplets in homogeneous and isotropic turbulence
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911000220925952 |
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| author | Guglietta, Fabio Taglienti, Diego Sbragaglia, Mauro |
| author_facet | Guglietta, Fabio Taglienti, Diego Sbragaglia, Mauro |
| contents | We study the statistics of deformation of neutrally buoyant droplets in homogeneous isotropic turbulence (HIT), wherein the characteristic droplet size $R$ is smaller than the characteristic Kolmogorov scale $η$ of the turbulent flow. We systematically focus on the characterization of droplet statistics obtained with various phenomenological ellipsoidal models (EMs) -- assuming that the droplet preserves the ellipsoidal shape at all times - with the droplet moving as a passive tracer in the turbulent flow. The predictions of the EMs are compared with ground-truth data obtained with three-dimensional fully resolved simulations (FRSs) without any ad-hoc assumption on the droplet shape. Our work helps in elucidating the applicability of the EMs in describing droplet deformation in HIT at changing the capillary number $\text{Ca}=τ_σ/τ_η$, weighting the relative importance of the droplet characteristic time $τ_σ$ with respect to the turbulent flow characteristic time $τ_η$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09692 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Deformation of ellipsoidal droplets in homogeneous and isotropic turbulence Guglietta, Fabio Taglienti, Diego Sbragaglia, Mauro Fluid Dynamics We study the statistics of deformation of neutrally buoyant droplets in homogeneous isotropic turbulence (HIT), wherein the characteristic droplet size $R$ is smaller than the characteristic Kolmogorov scale $η$ of the turbulent flow. We systematically focus on the characterization of droplet statistics obtained with various phenomenological ellipsoidal models (EMs) -- assuming that the droplet preserves the ellipsoidal shape at all times - with the droplet moving as a passive tracer in the turbulent flow. The predictions of the EMs are compared with ground-truth data obtained with three-dimensional fully resolved simulations (FRSs) without any ad-hoc assumption on the droplet shape. Our work helps in elucidating the applicability of the EMs in describing droplet deformation in HIT at changing the capillary number $\text{Ca}=τ_σ/τ_η$, weighting the relative importance of the droplet characteristic time $τ_σ$ with respect to the turbulent flow characteristic time $τ_η$. |
| title | Deformation of ellipsoidal droplets in homogeneous and isotropic turbulence |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2506.09692 |