Discharge Coefficient 
Convert discharge coefficient to minor loss coefficient 

Discharge Coefficient Diagram and Conceptual Flow Lines for an Orifice in a Pipe Discharge Coefficient Equation Valid for 0.4 ≤ C ≤ 0.8 and 0.2 ≤ β ≤ 0.7 Derivation of Discharge Coefficient Equation Steady flow of an incompressible fluid through an orifice based on a discharge coefficient: Pressure loss from location 1 to 3 in the pipe written in terms of discharge coefficient: Pressure loss from 1 to 3 in the pipe due to the orifice written in terms of minor loss coefficient: Also:
The goal is to solve the above equations for K. Begin by equating discharge coefficient equation (2) to (3):
Solve for K in terms of discharge coefficient: Many pipe flow analysis programs do not readily implement orifice discharge coefficients because they use K's instead. Hence, having a value for K based on the orifice discharge coefficient is useful for flow calculators. Symbols and units for discharge coefficient equations: A_{o}=orifice area (m^{2}), A_{p}=pipe area (m^{2}), d=orifice diameter (m), D=pipe inside diameter (m), P_{1}P_{2}=differential pressure (N/m^{2}), P_{1}P_{3}=nonrecoverable pressure difference (N/m^{2}), Q=flow rate (m^{3}/s), V_{o}=velocity through orifice (m/s), V_{p}=velocity in pipe (m/s), ρ=fluid mass density (kg/m^{3}). Reference for discharge coefficient: LMNO Engineering  Large diameter orifice flow meter calculation for liquids
© 20172024 LMNO Engineering, Research, and
Software, Ltd. All rights reserved.

To: LMNO Engineering home page (full list of calculators including more advanced orifice, nozzle, venturi) 