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Reynolds number

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Reynolds number

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dimensionless quantity that is used to help predict similar flow patterns in different fluid flow situations

AI overview

The Reynolds number is a mathematical value that helps scientists and engineers predict whether fluid flow (like water or air moving) will behave in similar ways across different situations, without depending on the specific units used to measure it. It matters because it allows researchers to understand and predict flow patterns without having to test every possible real-world scenario.

AI-generated from the Wikipedia summary — may contain errors.

Wikidata facts

Named after
Osborne Reynolds
Image
Reynolds behaviors.png
Show 7 more facts
time of earliest written record
1883-00-00
Commons category
Reynolds number
recommended unit of measurement
1
on focus list of Wikimedia project
Wikipedia:Vital articles/Level/4
discoverer or inventor
Sir George Stokes, 1st Baronet
appointed by
Arnold Sommerfeld
Sources (5)

via Wikidata · CC0

~36 min read

Encyclopedic overview

The plume from this candle flame transitions from laminar to turbulent. A vortex street around a cylinder. This can occur around cylinders and spheres, for any fluid, cylinder size, and fluid speed provided that it has a Reynolds number between roughly 40 and 1000. George Stokes introduced Reynolds numbers. Osborne Reynolds popularised the concept.

In fluid dynamics, the Reynolds number (Re) is a dimensionless quantity that helps predict fluid flow patterns in different situations by measuring the ratio between inertial and viscous forces. At low Reynolds numbers, flows tend to be dominated by laminar (sheet-like) flow, while at high Reynolds numbers, flows tend to be turbulent. The turbulence results from differences in the fluid's speed and direction, which may sometimes intersect or even move counter to the overall direction of the flow (eddy currents). These eddy currents begin to churn the flow, using up energy in the process, which for liquids increases the chances of cavitation.

Excerpted from Wikipedia’s “Reynolds number” article, available under the CC BY-SA 4.0 licence.

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