Modeling of Cavitation in Pipelines

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Abstract

In the paper a model of liquid-gas mixture flow in pipelines is presented. The result enables simulation of transient and cavitation phenomena so it provides a tool for prediction and prevention of pollution due to damages on pipelines as well as an environmentally improved pipeline design. Particularly an application to a pipeline Plase-Opatija in the coastal zone is presented in the paper. The applied methods are mathematical and numerical. The mathematical model consists of an initial-boundary value problem for a hyperbolic conservation law system, which is derived from the Kraneneburg's model for gas-liquid mixture flow in pipes. These hyperbolic conservation laws together with boundary conditions are then numerically solved using the essentially non-oscillatory schemes developed by Shu, Osher et al. The proposed cavitation model is tested on the Kranenburg's test example. The test shows excellent charact

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