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The Basic Theorem and Math Model of Piping Network

Abstract
This paper gives out a hydraulic model and its basic concept about piping net element, and introduces theorem of its copulation for in piping network. In the paper, author gives the basic shape of hydraulic model as a power function in mathematics, and points out two important coefficients of the function is coefficient of proportionality and coefficient of exponent. According to the concept of pipe element and its combination model, author presents the application of the theorem and its network analysis method.
Key word: pipe copulation, hydraulics, model, piping network.

Introduction
Generally, we use some formulas, known as Darcy-Weisbach formula or Hazen-Williams, to analysis the piping network in hydraulics. Many hydraulics books have a description of this, for Darcy-Weisbach formula as . For the Reynolds number, they use the Moody diagram to determine the "f” value needed for the Darcy-Weisbach equation. The same way is used when using the Hazen-Williams formula. Actually, the two formulas are the same, only that, the shapes in expression are different. Above-mentioned formula is applied as base of hydraulics analysis. This computational method only gets out static parameter of pipe section, in case of operative and dynamic state of water pump, when pump is hand-in-hand working with the pipes, the changing of whole systematic state is unable to accurately present with this approach.
The writer gave forth, at 1988, THE METHOD OF AUTOMATIC SUITABLE SIMULATION FOR SPRAY SYSTEM, which presents dynamic state simulating method of tree like network in analysis of piping net in spray system.
Today, for the reason of saving energy and water, people need more and more precision application of water. Then analytical theory is needed to apply an exact method to analyze the piping network. This paper offers the rationale of analysis in piping net and forwards the methodology of piping analysis.
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posted by IrriPro @ 4:18 PM