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Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel
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Shell model for buoyancy-driven turbulence.

Abhishek Kumar1, Mahendra K Verma1

  • 1Department of Physics, Indian Institute of Technology Kanpur, Kanpur 208 016, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 15, 2015
PubMed
Summary
This summary is machine-generated.

A unified shell model explains turbulence. Stably stratified flow shows Bolgiano-Obukhbov scaling, while convective turbulence matches Kolmogorov

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Area of Science:

  • Fluid dynamics
  • Turbulence modeling

Background:

  • Turbulence is a complex phenomenon with distinct behaviors in stably stratified and convective flows.
  • Existing models often treat these regimes separately, limiting a unified understanding.

Purpose of the Study:

  • To introduce a unified shell model applicable to both stably stratified and convective turbulence.
  • To validate the model's predictions against established scaling laws and direct numerical simulations.

Main Methods:

  • Development of a novel unified shell model for turbulent flows.
  • Numerical simulations of the shell model for stably stratified and convective regimes.
  • Comparison of simulation results with theoretical scaling laws (Bolgiano-Obukhbov and Kolmogorov).

Main Results:

  • The unified shell model accurately reproduces Bolgiano-Obukhbov scaling (k(-11/5)) for stably stratified turbulence.
  • For convective turbulence, the model yields Kolmogorov's spectrum, consistent with theoretical predictions.
  • Model results show good agreement with direct numerical simulations from prior research.

Conclusions:

  • The proposed unified shell model provides a consistent framework for studying different turbulent regimes.
  • The model successfully captures the energy transfer mechanisms influenced by buoyancy in stratified flows.
  • This work advances the understanding of turbulence and offers a tool for further investigation.