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RMS Velocity coordinates transform?

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Old   July 6, 2016, 23:54
Default RMS Velocity coordinates transform?
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Ray
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Dear all,

I have the RMS fluctuating velocities in Cartesian coordinate taken from a FLUENT LES simulation. But I now need to check the the RMS fluctuating velocities in cylindrical coordinate.

Do anybody know how to transform RMS fluctuating velocities from Cartesian to cylindrical?

Many thanks
Ray
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Old   July 9, 2016, 05:08
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figure it out. actually quite easy ~_~ .
I will put the answer here just for people who may need a quick answer of it.

radial:
ur_rms=sqrt(cos(theta)*cos(theta)*SQR(ux_rms)+sin( theta)*sin(theta)*SQR(uy_rms)+2*cos(theta)*sin(the ta)*uv)

tangential:
ut_rms=sqrt(cos(theta)*cos(theta)*SQR(uy_rms)+sin( theta)*sin(theta)*SQR(ux_rms)-2*cos(theta)*sin(theta)*uv)
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