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Related Concept Videos

Rapidly Varying Flow01:24

Rapidly Varying Flow

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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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Gradually Varying Flow01:29

Gradually Varying Flow

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Gradually varying flow (GVF) in open channels describes situations where water depth changes slowly along the channel due to factors like non-uniform bed slope, channel shape variations, or obstructions. This flow type occurs when the depth adjusts gradually to balance gravitational forces, shear forces, and energy requirements, resulting in a low rate of depth change.Characteristics of Gradually Varying FlowGVF is commonly observed in natural streams, rivers, and canals, where flow depth...
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Laminar and Turbulent Flow01:07

Laminar and Turbulent Flow

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Fluid dynamics is the study of fluids in motion. Velocity vectors are often used to illustrate fluid motion in applications like meteorology. For example, wind—the fluid motion of air in the atmosphere—can be represented by vectors indicating the speed and direction of the wind at any given point on a map. Another method for representing fluid motion is a streamline. A streamline represents the path of a small volume of fluid as it flows. When the flow pattern changes with time, the...
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Velocity and Acceleration of a Wave00:51

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A wave propagates through a medium with a constant speed, known as a wave velocity. It is different from the speed of the particles of the medium, which is not constant. In addition, the velocity of the medium is perpendicular to the velocity of the wave. The variable speed of the particles of the medium implies that there must be acceleration associated with it. 
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Poiseuille's Law and Reynolds Number01:10

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Any fluid in a horizontal tube can flow due to pressure differences—fluid flows from high to low pressure. The flow rate (Q) is the ratio of pressure difference and resistance through a horizontal tube. The greater the pressure difference, the higher the flow rate. The flow resistance is expressed as:
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Introduction to Types of Flows01:23

Introduction to Types of Flows

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Fluid flows are categorized by dimensionality and behavior, with one-dimensional flow being the simplest form, where properties like velocity and pressure change only along a single axis. Water moving through straight pipes exemplifies this flow type, as variations in other directions are minimal. One-dimensional analysis helps simplify understanding such flows, focusing solely on changes along the pipe's length.
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Related Experiment Video

Updated: Jul 8, 2025

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing
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Fast-slow wave transitions induced by a random mean flow.

S Boury1, O Bühler1, J Shatah1

  • 1Courant Institute of Mathematical Sciences, New York University, New York, New York 10012, USA.

Physical Review. E
|December 20, 2023
PubMed
Summary

Dispersive waves in random flows can shift from fast to slow, changing their behavior. This transition depends on wave properties and flow dynamics, especially for unsteady flows.

Area of Science:

  • Fluid dynamics
  • Atmosphere-ocean systems
  • Wave propagation

Background:

  • Recent asymptotic results in atmosphere-ocean fluid dynamics.
  • Understanding wave behavior in complex flows is crucial.

Purpose of the Study:

  • Investigate conditions for group velocity changes in dispersive waves.
  • Analyze fast-slow wave transitions due to Doppler shifting and refraction.

Main Methods:

  • Idealized numerical and theoretical study.
  • Analysis of two-dimensional dispersive waves in random mean flows.

Main Results:

  • Identified conditions on dispersion relation and mean flow amplitude for fast-slow transitions.
  • Determined a finite amplitude threshold for steady mean flows.

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  • Showed that unsteady flows can drive transitions regardless of amplitude.

    • Conclusions:

    • Fast-slow wave transitions are possible and depend on flow characteristics.
    • Unsteady flows significantly impact wave behavior and long-term fate.