Minor-loss resistance for a thin square-edged orifice
plate of bore diameter diameter_orifice in a pipe
of diameter dimension. The pressure loss is
dp =
K*m_flow^2/(2*rho*A_pipe^2)
with the resistance coefficient referenced to the full-pipe
velocity head and given by the Idelchik thin-orifice correlation
(K_thinOrifice),
K = [1 + 0.707√(1-a) - a]²/a² with a =
(d_orifice/d_pipe)². Orifices are very lossy at small
openings (a=0.5 → K≈4, a=0.2 → K≈51). Symmetric thin plate – loss
is the same in either flow direction and opposes the flow. Circular
cross-section; thin-plate (no bore-length friction).
Idelchik, I. E. Handbook of Hydraulic Resistance, Begell House.