The discharge coefficient of an orifice is important for the outflow through the orifice. While it cannot be quantified theoretically as the outflow through an orifice depends on a number of parameters such as the pipe pressure, the liquid velocity and the shape and the area of the orifice. In this study, experiments and computational fluid dynamics (CFD) simulations were performed to find out the factors influencing discharge coefficient and the corresponding mechanism. The CFD simulation is based on Navier-Stokes equations combined with RNG k − ε turbulence model. The results show that a negative exponential function could fit the relationship between orifice discharge coefficient, pipe pressure, and orifice area more accurately. The relationship between the discharge coefficient of the orifice and the velocity was linear. In general, the simulation results fit well with the experimental results, which indicates that CFD simulation could be used to study pipeline leakage.Keywords Outflow · Orifice · Velocity · Pressure · Numerical model · Computational fluid dynamics (CFD)
Abbreviations
Q totalThe inlet flow rate, m 3 /s Q outThe outflow rate, m 3 /s Q endThe outlet flow rate, m 3 /s A crossThe area of the cross-section, m 2 k aThe ration of the orifice area which represents the relative size of the orifice area H 1The upstream water head, m P a Atmospheric pressure, P a ρThe water density, kg/m 3 gThe gravity constant, 9.8 m/s 2 α 0The kinetic energy correction factor of the inlet flow ν comeThe upstream velocity, m/s P outThe pressure of the shrinkage section out of the orifice, P a α outThe kinetic energy correction factor of the orifice outflow h w