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This page calculates the head loss coefficient and head loss of a fluid in across a thin perforated plate (plate thickness / hole hydraulic diameter < 0.015) inside a pipe. It is assumed that Re is greater than 10⁵.

The head loss h_L can be calculated as:

hl = k_loss x (u_m² / (2 x g) )

Where k_loss is the head loss coefficient, u_m is the flow velocity in the pipe, and g is the gravitational acceleration. k_loss is calculated from:

k_loss =

Where FAR is the free area ratio. The free area ratio must be entered directly by the user, but is defined as:

FAR = Free or Open Area / Total Area

References

Idel'chik, I E. and Fried, Erwin., Flow Resistance, a Design Guide for Engineers, Taylor & Francis, Washington D.C. 1989. p 260.