Mathematical Simulation of Cavitation with Column Separation in Pressurized Pump Pipeline Systems Nerella Ruben and Erva Venkatarathnam Abstract Hydraulic transient analysis is important in design stage as well as the execution stage of pipeline systems for diagnosis of problems arises due to pipe burst, pipe collapses and leakages. The calculations necessary to analyse transient conditions must be very precise, more realistic and less time consuming. To fulfill this objective, a suitable mathematical model incorporating different components that simulates the real physical phenomenon is the need of hour. In this paper, column separation model called Discrete Vapour Cavitation Model (DVCM) is described and applied to a reference problem that consists of pump pipeline system. The cal- culations of this model are compared with calculations of the reference problem by conventional Method of Characteristics (MOC) approach. The results show that MOC could not able to capture the real physical phenomenon of cavitation with water column separation due to drawbacks in basic modelling. Keywords Hydraulic transients · Water column separation · Method of characteristics 1 Introduction In the water field, mathematical modelling of water distribution systems has become a necessary component to analyse, design and diagnose the systems. The numerical representation of the water installation components leads to optimized and efficient safe design of the systems. Thus, the numerical models allow greater reliability and command over the entire system operation. Nowadays, the simulations of hydraulic N. Ruben (B ) Vignan’s Foundation for Science, Technology and Research, Guntur 522213, AP, India e-mail: rubennerella2512@gmail.com E. Venkatarathnam National Institute of Technology Warangal, Warangal 506001, TS, India e-mail: e.venkatarathnam@gmail.com © Springer Nature Singapore Pte Ltd. 2019 D. Srinivasacharya and K. S. Reddy (eds.), Numerical Heat Transfer and Fluid Flow, Lecture Notes in Mechanical Engineering, https://doi.org/10.1007/978-981-13-1903-7_45 393