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The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

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Published on: May 1, 2018

Nonlinear diffusion model for Rayleigh-Taylor mixing.

G Boffetta1, F De Lillo, S Musacchio

  • 1Dipartimento di Fisica Generale and INFN, Università di Torino, via P. Giuria 1, 10125 Torino, Italy.

Physical Review Letters
|April 7, 2010
PubMed
Summary
This summary is machine-generated.

This study models turbulent mixing in Rayleigh-Taylor convection using eddy diffusivity. A nonlinear Prandtl mixing model accurately predicts turbulent profiles and heat flux in thermal convection.

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Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Area of Science:

  • Fluid Dynamics
  • Turbulence Research
  • Convective Heat Transfer

Background:

  • Rayleigh-Taylor convection is a complex phenomenon involving fluid instability.
  • Understanding turbulent mixing is crucial for predicting heat transfer in various applications.
  • Existing models often struggle to accurately capture the evolution of turbulent profiles.

Purpose of the Study:

  • To develop and validate an eddy diffusivity model for turbulent mixing in Rayleigh-Taylor convection.
  • To accurately predict the mean temperature profile evolution.
  • To provide precise predictions for turbulent heat flux and Nusselt number in the ultimate state regime.

Main Methods:

  • Utilized nonlinear eddy diffusivity models within the Prandtl mixing theory framework.
  • Compared model predictions with results from numerical simulations of turbulent profiles.
  • Focused on the ultimate state regime of thermal convection.

Main Results:

  • The nonlinear model accurately reproduced turbulent profiles from numerical simulations.
  • The model provides precise predictions for turbulent heat flux.
  • Accurate predictions for the Nusselt number in the ultimate state regime were achieved.

Conclusions:

  • A nonlinear Prandtl mixing theory-based eddy diffusivity model effectively describes turbulent mixing in Rayleigh-Taylor convection.
  • The developed model offers accurate predictive capabilities for heat flux and Nusselt number.
  • This work advances the understanding of turbulent heat transfer in convective systems.