Abstract

GONZALEZ CASAS, Fernando; ZAMUDIO HUERTAS, Eduardo  and  GARCIA UBAQUE, César Augusto. Demonstration and analysis of water hammer using the arithmetic means method. Tecnura [online]. 2015, vol.19, n.spe, pp.143-151. ISSN 0123-921X.  https://doi.org/10.14483/udistrital.jour.tecnura.2015.SE1.a12.

This article presents the calculation of overpressures and variation of discharge when closing valves, with the hypothesis of linear variation in the relation between overpressure and distance travelled by the wave of swiftness. The problem of the Water Hammer was firstly studied in the symposium realized in 1933 [1]. The demonstration of the formula with the hypothesis of linear variation in the relation between overpressure and distance travelled is developed from the theory of the mathematical analysis in the text "Treaty of Applied Hydraulics" by Calvin Victor -George Rich, published by the Labor of Barcelona Spain in 1956 [2], and also in the work "Water-Hammer analysis by the Laplace-Mellin Transformation, Trans.", ASME, year 1945 by the professor of the university of Columbia, George R. Rich [3]. In this publication we develop the demonstration of this equation using Vaschy-Buckingham's π theorem, which uses the principles of dimensional analysis for solving physical problems.

Keywords : Water Hammer; conductions; hydraulic pressure; pipelines.

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