Mass flow rate calculation from velocity contour in pipe

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ca2n
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Hello all,

Looking for ideas on how to calculate mass flow rate from a velocity contour plot. The cross-sectional area is circular. An example of the velocity contour plot is shown in the figure below:

38230090532_0d4a696530_b.jpg


In most of the cases (as exemplified above) the flow is non-axisymmetric. Any suggestions welcomed. Thank you in advance.
 

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