Abstract
This paper uses transient frequency methods to locate a leak in a pipeline system when a leak is modeled as a small cylindrical pipe element open to atmospheric pressure on one end. The impedance of the leak as a small cylindrical pipe is included in the transfer function equation at the closed valve in a reservoir-pipe-valve system. The impedance diagram of this system with cylindrical leak is plotted and analyzed; the influence of the pipe thickness on leak locations is studied. The numerical study relying on impedance method shows that the cylindrical leak geometry approach allows secondary peaks to be detected only for thick pipes. By imposing a periodic pattern on the resonant responses, the leak with cylindrical geometry can be located and its location is based on an empirical relation. The computed results show satisfactory agreement with previous works when leak is modeled by a circular orifice.