In this article, the two-phase water hammer theoretical and numerical simulation are provided. A mathematical formulation is presented to describe the transient one-dimensional flow of bubbly gas-liquid mixtures without phase change in an horizontal pipe. The features of the two-fluid model for simulating water hammer flows are investigated. The governing equations were obtained from mass and momentum conservation laws combined with interfacial interaction correlations. The obtained system of equations for steady-state is solved through the Runge-Kutta method. On the other hand, the transient flow equation solutions are provided by the Newton-Raphson methods. A laborious calculation was carried out to determine the common pressure of the two phases. In order to improve the robustness and efficiency of the Richtmeyer-Lax-Wendroff method in solving the two-fluid model, a flux corrected transport technique was proposed. The results obtained by the proposed model are compared successfully to the corresponding homogeneous equilibrium model and the experimental ones provided by the literature.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.