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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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Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
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The phase rule describes the relationship between the variance (degrees of freedom), the number of components, and the number of phases in a system at equilibrium.Variance is a concept that denotes the number of independent intensive properties (properties are those that do not depend on the amount of material in the system), such as temperature, pressure, and composition, that can be altered without impacting the number of phases in equilibrium.In a single-component system, such as pure water,...
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A phase transition is the process in which a substance changes from one state of matter to another, like from a solid to a liquid, liquid to gas, or vice versa, at a specific temperature and under given pressure conditions. This change is spontaneous and is affected by alterations in temperature and pressure. These parameters impact the strength of the forces between molecules (intermolecular forces) in the substance.During a phase transition, both the initial and final phases of the substance...
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Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
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Area of Science:

  • Fluid Dynamics
  • Atmospheric Science
  • Turbulence Research

Background:

  • Coherent structures are fundamental to understanding turbulence.
  • A prevailing assumption links coherent structures to correlated spectral phases.
  • Phase randomization is generally thought to eliminate coherent structures.

Purpose of the Study:

  • To reexamine the assumption that phase correlation is a necessary characteristic of coherent structures.
  • To investigate the nature of coherent structures in atmospheric turbulence.
  • To clarify terminology and assumptions in turbulence research.

Main Methods:

  • Utilized atmospheric turbulence measurements.
  • Employed the wavelet transform for detecting small-scale coherent structures.
  • Analyzed structures for spatial and temporal organization alongside spectral phase correlation.

Main Results:

  • A significant portion of detected small-scale coherent structures lacked phase correlation.
  • Larger-scale structures exhibited high spatiotemporal coherence but weak phase correlation.
  • Examples demonstrated that organization can exist independently of strong phase correlation.

Conclusions:

  • The assumption linking coherent structures solely to phase correlation is challenged by atmospheric data.
  • Real-world turbulence exhibits complex coherent structures that may not fit simplified definitions.
  • There is a need for refined terminology and assumptions regarding coherent structures in complex turbulent flows.