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Water hammer vibrations in pressurized water distribution system: Conceptual development of dynamic model and validation
Author(s) -
S Sankaranarayanan,
N. Sivakumaran,
T. K. Radhakrishnan,
G. Swaminathan
Publication year - 2019
Publication title -
asia‐pacific journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.348
H-Index - 35
eISSN - 1932-2143
pISSN - 1932-2135
DOI - 10.1002/apj.2345
Subject(s) - water hammer , ordinary differential equation , ode , partial differential equation , vibration , control valves , context (archaeology) , differential equation , pipeline (software) , differential (mechanical device) , mathematics , mechanics , engineering , mathematical analysis , physics , mechanical engineering , thermodynamics , geology , paleontology , quantum mechanics
In this paper, the dynamical behavior of water hammer (WH) caused vibrations by valve failures, and the corresponding impact of the vibrations over the water distribution system (WDS) is discussed. The existing mathematical model of WH is represented by partial Differential Equation (PDE) format, which is not compatible with the WDS model represented through Ordinary Differential Equation (ODE). The existing PDE model does not account the rate of change of valve dynamics. Thus, to overcome the abovementioned intricacies, the PDE is converted to a set of ordinary differential equations, and the valve coefficient is incorporated in the model. The WDS that is considered in this context has storage tank in every consumer node too, with regulating valves at the terminal ends of the pipelines. Various modes of pipeline valve failures are created, and the corresponding effects propagating throughout the WDS are studied in control aspects. The corresponding mathematical model in each mode of operations are also obtained. The simulation studies show the uncertainties induced by WH that interrupts the nominal operation of the WDS.