Demostración y análisis del golpe de ariete por el método de los promedios aritméticos
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Universidad Distrital Francisco José de Caldas. Colombia
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En este artículo se presenta la solución al cálculo de sobrepresiones y variación de caudal al cerrar válvulas, con la hipótesis de variación lineal en la relación entre sobrepresión y distancia recorrida por la onda de celeridad. Los problemas del golpe de ariete comenzaron a estudiarse en profundidad en el simposio realizado en 1933 [1]. El estudio de la variación lineal en la relación sobrepresión y distancia recorrida aparece desarrollado con base en la teoría del análisis matemático en el ¨Tratado de Hidráulica Aplicada¨ de Calvin Victor-George Rich, editorial Labor de Barcelona España en el año 1956 [2] y en la obra ¨Water-Hammer analysis by the Laplace-Mellin Transformation, Trans., ASME, 1945, de George R. Rich [3], profesor de la universidad de Columbia. En esta publicación se desarrolla la demostración de esta ecuación usando el teorema π de Vaschy-Buckingham, que utiliza los principios del análisis dimensional a la solución de problemas físicos.
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 p theorem, which uses the principles of dimensional analysis for solving physical problems.
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 p theorem, which uses the principles of dimensional analysis for solving physical problems.
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Water Hammer, conductions, hydraulic pressure, pipelines., Conducciones, golpe de ariete, presión hidráulica, tuberías.