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Calculate variance of velocities (eg.) in centrifugal impeller

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Old   August 12, 2016, 14:17
Post Calculate variance of velocities (eg.) in centrifugal impeller
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Raphael Kuckuck
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Hello forum (as this is my first post),

I currently have the problem that I simulate a centrifugal compressor which has to be improved via using splitter blades.

One of my goals is to homogenize the exit-flow pattern to improve efficiency etc.

My approach is to calculate the variance of the velocities (Mach numbers, vorticity etc). Thus I need to have every cell's value for velocity (as the calculation of variance is somewhat like
\sigma² = 1/N \sum (x - x_m)²
where N defines the number of tangential "stripes" over which I calculate the mean value x_m.
x is the value of every single cell within my "stripe".

You can imagine these stripes as the tangential mixing of a stage interface (mixing interface).

To make it more comprehensible, I attached a picture of what I mean.
--------------------------------------------------------------------------------
The question: How do I calculate a cell's value to insert it into my formula.


If you also know another method to summarize the degree of homogenity of a flow, please let me know

Thanks in advance!
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cell value, centrifugal compressor, variance


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