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Turbulent flow is characterized by unpredictable fluctuations in velocity and pressure, which result in a chaotic fluid movement distinct from the orderly patterns of laminar flow. While laminar flow is governed by smooth, parallel layers with minimal mixing, turbulent flow exhibits highly irregular, three-dimensional patterns. This behavior arises due to instabilities in the fluid's velocity profile, and amplifies as the flow velocity increases. Minor disturbances, known as turbulent...
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The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
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Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
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Entropy and Turbulence Structure.

T-W Lee1, J E Park1

  • 1Mechanical and Aerospace Engineering, SEMTE, Arizona State University, Tempe, AZ 85287, USA.

Entropy (Basel, Switzerland)
|January 21, 2022
PubMed
Summary
This summary is machine-generated.

Turbulent flow structures are explained using maximum entropy principles and conservation laws. This approach accurately predicts turbulence energy spectra and dissipation across various Reynolds numbers.

Keywords:
energy spectramaximum entropyscalingturbulence

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Area of Science:

  • Fluid Dynamics
  • Statistical Mechanics

Background:

  • Turbulent flows exhibit complex spectral and spatial structures.
  • Understanding turbulence is crucial in various scientific and engineering fields.

Purpose of the Study:

  • To offer new perspectives on turbulent flow structure using conservation principles and entropy.
  • To demonstrate the derivation of turbulence energy spectra from the maximum entropy principle.

Main Methods:

  • Applying the maximum entropy principle to derive turbulence energy spectra.
  • Analyzing Reynolds stress components and dissipation structure functions within energy and dissipation constraints.
  • Investigating Reynolds number effects in wall-bounded turbulent flows.

Main Results:

  • Turbulence energy spectra derived from maximum entropy show good agreement with experimental data.
  • Dissipation in wall-bounded flows is linked to Reynolds number effects.
  • Reynolds stress gradients fold onto curves, enabling scaling to other Reynolds numbers.

Conclusions:

  • The maximum entropy principle provides a framework for understanding turbulence structure.
  • Entropy perspective offers a quantifiable method to analyze the origins of turbulence.
  • Dissipation structure functions can serve as templates for predicting behavior at different Reynolds numbers.