Oscillatory convective structures and solutal jets originated from discrete distributions of droplets in organic alloys with a miscibility gap

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Abstract

The pattern formation process driven by N droplets out of thermodynamic equilibrium, uniformly distributed on the bottom of a container filled with a partially miscible organic liquid, is investigated for different values of N by means of multiprocessor solution of the Navier-Stokes equations. The considered system is intended to model the typical phenomena occurring during the thermal processing of liquid-liquid systems exhibiting a miscibility gap (the so-called "immiscible alloys"). These alloys undergo sedimentation of the separated heavier phase to the bottom of the container under normal gravity conditions. Droplets in non-equilibrium conditions, are responsible for the occurrence of still poorly-known fluid-dynamic instabilities. The present analysis provides a clear and quite exhaustive picture of the different stages of evolution of fluid motion inside the container. The distribution of solute is found to depend on the complex multicellular structure of the convective field and on associated ‘pluming phenomena’. Significant adjustments in the pattern take place as time passes. The structure of the velocity field and the number of rising solutal plumes exhibit sensitivity to the number of droplets and to the possible presence of surface Marangoni effects. New classes of possible instability mechanisms (pulsating, traveling, erratic) are identified and described. The investigation provides "local" details as well as general rules and trends about the macroscopic evolution (i.e. "ensemble behaviors") of the system.
LanguageEnglish
Article number042105
Number of pages14
JournalPhysics of Fluids
Volume18
Issue number4
DOIs
Publication statusPublished - 30 Apr 2006

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miscibility gap
containers
nonequilibrium conditions
organic liquids
thermodynamic equilibrium
fluid dynamics
liquids
Navier-Stokes equation
plumes
solutes
velocity distribution
adjusting
occurrences
gravitation
trends
fluids
sensitivity

Keywords

  • fluid droplets
  • liquid surfaces
  • convection
  • organic alloys
  • rotating flows
  • Marangoni effects
  • Marangoni convection

Cite this

@article{28e22770622a4e0c9df61ce4a362e161,
title = "Oscillatory convective structures and solutal jets originated from discrete distributions of droplets in organic alloys with a miscibility gap",
abstract = "The pattern formation process driven by N droplets out of thermodynamic equilibrium, uniformly distributed on the bottom of a container filled with a partially miscible organic liquid, is investigated for different values of N by means of multiprocessor solution of the Navier-Stokes equations. The considered system is intended to model the typical phenomena occurring during the thermal processing of liquid-liquid systems exhibiting a miscibility gap (the so-called {"}immiscible alloys{"}). These alloys undergo sedimentation of the separated heavier phase to the bottom of the container under normal gravity conditions. Droplets in non-equilibrium conditions, are responsible for the occurrence of still poorly-known fluid-dynamic instabilities. The present analysis provides a clear and quite exhaustive picture of the different stages of evolution of fluid motion inside the container. The distribution of solute is found to depend on the complex multicellular structure of the convective field and on associated ‘pluming phenomena’. Significant adjustments in the pattern take place as time passes. The structure of the velocity field and the number of rising solutal plumes exhibit sensitivity to the number of droplets and to the possible presence of surface Marangoni effects. New classes of possible instability mechanisms (pulsating, traveling, erratic) are identified and described. The investigation provides {"}local{"} details as well as general rules and trends about the macroscopic evolution (i.e. {"}ensemble behaviors{"}) of the system.",
keywords = "fluid droplets, liquid surfaces, convection, organic alloys, rotating flows, Marangoni effects, Marangoni convection",
author = "Marcello Lappa",
year = "2006",
month = "4",
day = "30",
doi = "10.1063/1.2192531",
language = "English",
volume = "18",
journal = "Physics of Fluids",
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TY - JOUR

T1 - Oscillatory convective structures and solutal jets originated from discrete distributions of droplets in organic alloys with a miscibility gap

AU - Lappa, Marcello

PY - 2006/4/30

Y1 - 2006/4/30

N2 - The pattern formation process driven by N droplets out of thermodynamic equilibrium, uniformly distributed on the bottom of a container filled with a partially miscible organic liquid, is investigated for different values of N by means of multiprocessor solution of the Navier-Stokes equations. The considered system is intended to model the typical phenomena occurring during the thermal processing of liquid-liquid systems exhibiting a miscibility gap (the so-called "immiscible alloys"). These alloys undergo sedimentation of the separated heavier phase to the bottom of the container under normal gravity conditions. Droplets in non-equilibrium conditions, are responsible for the occurrence of still poorly-known fluid-dynamic instabilities. The present analysis provides a clear and quite exhaustive picture of the different stages of evolution of fluid motion inside the container. The distribution of solute is found to depend on the complex multicellular structure of the convective field and on associated ‘pluming phenomena’. Significant adjustments in the pattern take place as time passes. The structure of the velocity field and the number of rising solutal plumes exhibit sensitivity to the number of droplets and to the possible presence of surface Marangoni effects. New classes of possible instability mechanisms (pulsating, traveling, erratic) are identified and described. The investigation provides "local" details as well as general rules and trends about the macroscopic evolution (i.e. "ensemble behaviors") of the system.

AB - The pattern formation process driven by N droplets out of thermodynamic equilibrium, uniformly distributed on the bottom of a container filled with a partially miscible organic liquid, is investigated for different values of N by means of multiprocessor solution of the Navier-Stokes equations. The considered system is intended to model the typical phenomena occurring during the thermal processing of liquid-liquid systems exhibiting a miscibility gap (the so-called "immiscible alloys"). These alloys undergo sedimentation of the separated heavier phase to the bottom of the container under normal gravity conditions. Droplets in non-equilibrium conditions, are responsible for the occurrence of still poorly-known fluid-dynamic instabilities. The present analysis provides a clear and quite exhaustive picture of the different stages of evolution of fluid motion inside the container. The distribution of solute is found to depend on the complex multicellular structure of the convective field and on associated ‘pluming phenomena’. Significant adjustments in the pattern take place as time passes. The structure of the velocity field and the number of rising solutal plumes exhibit sensitivity to the number of droplets and to the possible presence of surface Marangoni effects. New classes of possible instability mechanisms (pulsating, traveling, erratic) are identified and described. The investigation provides "local" details as well as general rules and trends about the macroscopic evolution (i.e. "ensemble behaviors") of the system.

KW - fluid droplets

KW - liquid surfaces

KW - convection

KW - organic alloys

KW - rotating flows

KW - Marangoni effects

KW - Marangoni convection

U2 - 10.1063/1.2192531

DO - 10.1063/1.2192531

M3 - Article

VL - 18

JO - Physics of Fluids

T2 - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

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