Turbulent convection in emulsions: the Rayleigh-Bénard configuration

Fuente: arXiv
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Autori principali: Bilondi, Abbas Moradi, Scapin, Nicolò, Brandt, Luca, Mirbod, Parisa
Natura: Preprint
Pubblicazione: 2024
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author Bilondi, Abbas Moradi
Scapin, Nicolò
Brandt, Luca
Mirbod, Parisa
author_facet Bilondi, Abbas Moradi
Scapin, Nicolò
Brandt, Luca
Mirbod, Parisa
contents This study explores heat and turbulent modulation in three-dimensional multiphase Rayleigh-Bénard convection using direct numerical simulations. Two immiscible fluids with identical reference density undergo systematic variations in dispersed-phase volume fractions, $0.0 \leq \Upphi \leq 0.5$, and ratios of dynamic viscosity, $λ_μ$, and thermal diffusivity, $λ_α$, within the range $[0.1-10]$. The Rayleigh, Prandtl, Weber, and Froude numbers are held constant at $10^8$, $4$, $6000$, and $1$, respectively. Initially, when both fluids share the same properties, a 10\% Nusselt number increase is observed at the highest volume fractions. In this case, despite a reduction in turbulent kinetic energy, droplets enhance energy transfer to smaller scales, smaller than those of single-phase flow, promoting local mixing. By varying viscosity ratios, while maintaining a constant Rayleigh number based on the average mixture properties, the global heat transfer rises by approximately 25\% at $\Upphi=0.2$ and $λ_μ=10$. This is attributed to increased small-scale mixing and turbulence in the less viscous carrier phase. In addition, a dispersed phase with higher thermal diffusivity results in a 50\% reduction in the Nusselt number compared to the single-phase counterpart, owing to faster heat conduction and reduced droplet presence near walls. The study also addresses droplet-size distributions, confirming two distinct ranges dominated by coalescence and breakup with different scaling laws.
format Preprint
id arxiv_https___arxiv_org_abs_2408_13087
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Turbulent convection in emulsions: the Rayleigh-Bénard configuration
Bilondi, Abbas Moradi
Scapin, Nicolò
Brandt, Luca
Mirbod, Parisa
Fluid Dynamics
This study explores heat and turbulent modulation in three-dimensional multiphase Rayleigh-Bénard convection using direct numerical simulations. Two immiscible fluids with identical reference density undergo systematic variations in dispersed-phase volume fractions, $0.0 \leq \Upphi \leq 0.5$, and ratios of dynamic viscosity, $λ_μ$, and thermal diffusivity, $λ_α$, within the range $[0.1-10]$. The Rayleigh, Prandtl, Weber, and Froude numbers are held constant at $10^8$, $4$, $6000$, and $1$, respectively. Initially, when both fluids share the same properties, a 10\% Nusselt number increase is observed at the highest volume fractions. In this case, despite a reduction in turbulent kinetic energy, droplets enhance energy transfer to smaller scales, smaller than those of single-phase flow, promoting local mixing. By varying viscosity ratios, while maintaining a constant Rayleigh number based on the average mixture properties, the global heat transfer rises by approximately 25\% at $\Upphi=0.2$ and $λ_μ=10$. This is attributed to increased small-scale mixing and turbulence in the less viscous carrier phase. In addition, a dispersed phase with higher thermal diffusivity results in a 50\% reduction in the Nusselt number compared to the single-phase counterpart, owing to faster heat conduction and reduced droplet presence near walls. The study also addresses droplet-size distributions, confirming two distinct ranges dominated by coalescence and breakup with different scaling laws.
title Turbulent convection in emulsions: the Rayleigh-Bénard configuration
topic Fluid Dynamics
url https://arxiv.org/abs/2408.13087