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Flow Coefficent for Orifices

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JoeChem

Chemical
Dec 9, 2002
50
Geetings,

Was recently trying to calculate an accidental discharge of liquid from a tank (small hole) and was scratching my head about some things in Crane TP410 and was hoping to get some clarification. I was not sure if I should approach the leak rate calculation using an orifice equation or as an entrance loss equation. This really boiled down to selecting a C for the orifice or a K for an entrance loss

When considering a flow coefficient for an orifice, as the beta ratio decreases the approach Reynolds number decreases and C approaches 0.5 as shown on the graph on page A-20. All is good.

Struggled then with the formula given to calculate K for an orifice:

K = (1-beta^2)/(C^2 x beta^4)

K values begin to increase rapidly as beta decreases. The denominator is essentially 0 for low beta values, i.e., a pinhole in a tank wall.

How do we get to an entrance loss K of 0.5?

Thanks in advance.

JoeChem
 
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