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Related Concept Videos

Boundary Layer Characteristics01:18

Boundary Layer Characteristics

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When a fluid encounters a solid surface, a boundary layer forms due to the interaction between the fluid's motion and the stationary surface. This phenomenon is characterized by a thin region adjacent to the surface where viscous forces dominate, influencing the fluid's velocity profile. The development of the boundary layer begins at the leading edge of the surface and evolves as the fluid moves downstream.As the fluid flows over the surface, friction between the fluid and the wall slows down...
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When a wave travels from one medium to another, it gets reflected at the boundary of the second medium. A common example of this is when a person yells at a distance from a cliff and hears the echo of their voice. The sound waves (longitudinal waves) traveling in the air are reflected from the bounding cliff. Similarly, flipping one end of a string whose other end is tied to a wall causes a pulse (transverse wave) to travel through the string, which gets reflected upon reaching the wall. In...
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While deriving the Doppler formula for the observed frequency of a sound wave, it is assumed that the speed of sound in the medium is greater than the source's speed through it. When this condition is breached, a shock wave occurs.
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Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
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Turbulent Flow01:24

Turbulent Flow

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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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Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so...
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Related Experiment Video

Updated: Nov 19, 2025

Magnetically Induced Rotating Rayleigh-Taylor Instability
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Instability wave-streak interactions in a supersonic boundary layer.

Pedro Paredes1, Meelan M Choudhari1, Fei Li1

  • 1Computational AeroSciences Branch, NASA Langley Research Center, Hampton, VA 23681, USA.

Journal of Fluid Mechanics
|January 29, 2021
PubMed
Summary

Optimal initial conditions for transient growth in supersonic boundary layers involve stationary streaks. These streaks can delay laminar-turbulent transition by stabilizing instability waves, but only under specific wavelength conditions.

Keywords:
boundary layer transitionpassive flow controlsupersonic flow

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Area of Science:

  • Fluid dynamics
  • Aerodynamics
  • Supersonic flow

Background:

  • Transient growth in boundary layers generates streamwise streaks.
  • In incompressible flow, streaks can stabilize Tollmien-Schlichting waves.
  • Supersonic flow instabilities differ, with dominant oblique, first-mode waves.

Purpose of the Study:

  • Investigate the effect of optimally growing stationary streaks on supersonic boundary layer transition.
  • Determine if streak excitation promotes or suppresses transition in the supersonic regime.

Main Methods:

  • Analysis of optimal initial conditions for transient growth.
  • Examination of nonlinear interactions between instability waves and streaks.
  • Parametric study of streak spacing and instability wave spanwise wavelength.

Main Results:

  • Optimally growing stationary streaks destabilize short-wavelength first-mode waves.
  • However, these streaks stabilize longer-wavelength first-mode waves typical in benign environments.
  • A net stabilization effect is achieved when destabilized wave amplification remains below the transition threshold.

Conclusions:

  • Artificial excitation of stationary streaks can promote transition in supersonic boundary layers.
  • Suppression of streaks can delay transition, consistent with prior research.
  • Under specific conditions, optimal streaks can lead to significant transition delay in supersonic flows.