Numerical Modelling of Cavitation in an Elastic Pipe

Ouafae Rkibi; Nawal Achak; Mohammed Cherraj; Bennasser Bahrar

doi:10.37934/arfmts.97.1.1319

Authors

Ouafae Rkibi Team of Modeling and Simulation of Mechanical and Energetic Faculty of Sciences, Mohammed V University, Rabat, Morocco
Nawal Achak Team of Modeling and Simulation of Mechanical and Energetic Faculty of Sciences, Mohammed V University, Rabat, Morocco
Mohammed Cherraj Team of Modeling and Simulation of Mechanical and Energetic Faculty of Sciences, Mohammed V University, Rabat, Morocco
Bennasser Bahrar Nanostructures and Advanced Materials, Mechanics and Thermo Fluids Laboratory (NMAMTL)., Hassan II University, Casablanca, Morroco

DOI:

https://doi.org/10.37934/arfmts.97.1.1319

Keywords:

Cavitation model, column separation model of vapor, method of characteristics, transient flow, unsteady friction model, vapor pressure

Abstract

This study is devoted to a theoretical and numerical modeling of transient vaporous cavitation in a horizontal pipeline. The model approach is, essentially, based on that of the column separation model (CSM). The basic system of partial differential equations to solve is a hyperbolic type and adapts perfectly to the method of characteristics. This code, allows us, taking into account the unsteady part of the friction term, to determine at any point of the pipe, and at each instant, the average piezometric head, the average discharge and the change in volume of the vapor cavity. This study illustrates the coupled effect of the presence of air pockets resulting in cavitation and the unsteady term of friction, on the amplitude of the pressure wave. The calculation results are in good agreement with those reported in the literature.