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A regime of nonlinear viscous flow characterized by random, rotational motion with a wide range of length scales. Its study is critical to many fields, such as aerospace, atmospheric science, chemical engineering, and astrophysics.

2 votes
1 answer
72 views

Turbulence: a state, a property, a structure?

The term "turbulence" ("turbulent" etc.) appears in many phrases from an ordinary technical description to apparent parables. … I am aware of the concept of transition and fully developed turbulence. Again, I aim for the terminology. …
Victor Pira's user avatar
  • 2,834
2 votes
1 answer
778 views

Plane landing into a tunnel

Typical action movies cliché is landing a plane in a tunnel or even a flight in a tunnel. Let's drop any doubts about supreme heroic piloting skills of the characters etc. and focus on aerodynamics. …
Victor Pira's user avatar
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1 vote
1 answer
410 views

Does surface tension attenuate turbulence?

Rapids and several other "white water" systems could be typical examples of turbulent motion. To describe such flows the Navier-Stokes equations must be extended by terms describing the surface tensio …
Victor Pira's user avatar
  • 2,834
4 votes
2 answers
3k views

Ways to compute the turbulent velocity kinetic energy spectrum

The implicit definition of the kinetic energy spectrum $\hat{E}_k$ of the turbulent flow is simply: $$ E = \int \hat{E}(k) \mathrm{d}k $$ I have found the definition using Fourier transform of a two …
Victor Pira's user avatar
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3 votes
1 answer
594 views

Physical intuition on vortex sound generation

Whenever a fluid has a nonzero vorticity, it looses some of its energy in a form of sound wave. Formally is this mechanism described by Lighthill's equation or some related model (like e.g. Curle's th …
Victor Pira's user avatar
  • 2,834
2 votes
1 answer
15k views

What is actually the characteristic length in fluid dynamics description?

In many fluid-dynamics models and quantities (Reynolds number, Strouhal number... generally various turbulent flow descriptions) there is a parameter (usually $L$ or $\ell$) descripted as characterist …
Victor Pira's user avatar
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7 votes
1 answer
149 views

How to popularly describe typical features of a "non-linear system"

I need this for a popular lecture about fluid dynamics and turbulence. My aim is not to use sentences like "We have here a highly non-linear flow" without explaining or exemplifying the term. …
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