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Turbulence Reynolds Number (Re_y)

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Old   August 17, 2016, 07:19
Default Turbulence Reynolds Number (Re_y)
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Peter
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Hi,

Would anyone be able to explain to me the difference between the turbulence Reynolds Number Re_y available as a result in fluent, and the standard Reynolds Number.

I am trying to determine if the outlet of a jet flow will be turbulent or laminar. As turbulence must be specified beforehand I was wondering would this result be useful in deciding 'how' turbulent the flow is at least?

Thanks for anyone help in advance
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Old   August 18, 2016, 05:55
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Andrea
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I reckon you can find an explanation in any good Turbulence book.

A turbulent flow is characterised by a wide range of scales and you can define a Reynolds number at whichever scale you want, and each Reynolds number will be representative of a given scale within the turbulence spectrum.

I guess the "standard" Reynolds number you are referring to is the one defined at the characteristic scales of your domain.

The turbulent Reynolds number is usually defined at the energy containing scale, i.e. l_t=k^(3/2)/epsilon. The velocity scale in this case is k^(1/2) and therefore the turbulent Reynods number is equal to

Re_t = rho*u_t*l_t/nu = rho*k^(1/2)*l_t/nu

You can define other Reynolds numbers at different significant scales, e.g. the Taylor microscale or the Kolmogorov scale. For example, the Reynolds number associated with the Kolmogorov scale is equal to unity, since those scales are dominated by viscosity.
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