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Dimensionless Groups in Fluid Mechanics01:15

Dimensionless Groups in Fluid Mechanics

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Dimensionless groups in fluid mechanics provide simplified ratios that help analyze fluid behavior without relying on specific units. The Reynolds number (Re), which represents the ratio of inertial to viscous forces, distinguishes between laminar and turbulent flows, making it essential in the design of pipelines and aerodynamic surfaces. The Froude number (Fr), the ratio of inertial to gravitational forces, is particularly useful in predicting wave formation and hydraulic jumps in...
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Irrotational Flow01:28

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Rapidly varying flow (RVF) in open channels is characterized by abrupt changes in flow depth over a short distance, with the rate of depth change relative to distance often approaching unity. These flows are inherently complex due to their transient and multi-dimensional nature, making exact analysis difficult. However, approximate solutions using simplified models provide valuable insights into their behavior.Key Features of Rapidly Varying FlowRVF is commonly observed in scenarios involving...
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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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To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
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Experimental Investigation of the Flow Structure over a Delta Wing Via Flow Visualization Methods
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Dynamic realization of emergent high-dimensional optical vortices.

Dongha Kim1,2, Geonhyeong Park3, Yun-Seok Choi4

  • 1Ginzton Laboratory, Stanford University, Stanford, CA, USA. donghakim@korea.ac.kr.

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Researchers created high-dimensional optical vortices using a gradient thickness optical cavity (GTOC). This breakthrough enables the study of complex topological interactions and opens new avenues for photonic devices.

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Area of Science:

  • Photonics
  • Topological Physics
  • Materials Science

Background:

  • Vortical structures are key for information processing and turbulence control.
  • Extending vortical structures beyond 2D offers enhanced complexity and robustness.
  • Natural materials typically do not support high-dimensional vortical structures.

Purpose of the Study:

  • To experimentally demonstrate high-dimensional vortical structures in a novel optical system.
  • To explore topological interactions across multiple dimensions using optical coupling.
  • To investigate the potential for emulating high-dimensional physics and developing active topological photonic devices.

Main Methods:

  • Utilized a high-dimensional gradient thickness optical cavity (GTOC).
  • Employed optical coupling of planar metal-dielectric multilayers for topological interactions.
  • Observed emergent high-dimensional vortical structures via electro-optic tomography.

Main Results:

  • Successfully induced high-dimensional vortical structures (3D, 4D, and beyond) in generalized parameter space.
  • Demonstrated optical vortex dynamics in 2D real-space using optical thicknesses as synthetic dimensions.
  • Confirmed the implementation of topological interactions across multiple dimensions within the GTOC.

Conclusions:

  • The GTOC provides a novel platform for generating and studying high-dimensional vortical structures.
  • Findings pave the way for emulating complex high-dimensional physics in a controlled laboratory setting.
  • The research holds significant promise for the development of advanced active topological photonic devices.