Parameters affecting water-hammer wave attenuation, shape and timing—Part 1: Mathematical tools
نویسندگان
چکیده
منابع مشابه
Multiple Scales Analysis of Water Hammer Attenuation
A multiple scales analysis is used to construct a uniformly accurate approximation to water hammer pressure wave attenuation that is initiated by a sudden valve opening. The method of analysis is well suited to the study of a water hammer that possesses several time scales and is applied to a mild generalization of the classical equations. It should prove useful for finding attenuation curves w...
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is book is a guide for researchers and practitioners to the new frontiers of 3D shape analysis and the complex mathematical tools most methods rely on. e target reader includes students, researchers and professionals with an undergraduate mathematics background, who wish to understand the mathematics behind shape analysis. e authors begin with a quick review of basic concepts in geometry, to...
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The effect of local drop of wall stiffness in pressurized waterways on the pressure wave speed and the wave attenuation during transients is investigated experimentally. A new signal-processing procedure to identify the presence of a weak reach is introduced and validated by physical experimentation based on assessing the pressure and vibration records acquired at both ends of a multi-reach ste...
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Column separation refers to the breaking of liquid columns in fully filled pipelines. This may occur in a water hammer event when the pressure drops to the vapor pressure at specific locations such as closed ends, high points or knees (changes in pipe slope). A vapor cavity, driven by the inertia of the parting liquid columns, will start to grow. The cavity acts as a vacuum, a low-pressure poin...
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A typical linear water wave problem is a boundary-value problem involving partial differential equations and boundary conditions. Such a problem is usually solved by applying a sequence of mathematical arguments, and it would be helpful if some or all of the successive steps in this sequence could be given a physical interpretation. In the author’s experience this is generally not possible. Ill...
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ژورنال
عنوان ژورنال: Journal of Hydraulic Research
سال: 2008
ISSN: 0022-1686,1814-2079
DOI: 10.3826/jhr.2008.2848