Assessment of a cracked pipe subject to transient flow by the Monte Carlo method

Abstract

THE PURPOSE OF THIS WORK is to assess the risk of failure of cracked pipe due to fluid transient. A mathematical model has been established based on the mass and momentum conservation laws, the system of hyperbolic partial differential equations has been solved by the method of characteristics and a finite difference method to calculate the maximum pressure in the pipe. Afterwards, a finite element method have been used to perform a reliable assessment analysis of a cracked pipe used in water distribution by using Monte Carlo method and failure assessment diagram (FAD) tools to evaluate the safety factor from deterministic and probabilistic view points.