NDLI: Vacuum System Design using Symbolic Numeric Processors

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Vacuum System Design using Symbolic Numeric Processors

Content Provider	Semantic Scholar
Author	Cornelius, Wayne D.
Copyright Year	1997
Abstract	The widespread availability of symbolic numeric processor environments for the personal computer (such as MathCAD [1], Maple [2], Mathematica [3], Macsyma [4], etc.) now provides a convenient framework to support the design of large and complicated vacuum systems. The mathematical model introduced below provides a framework for using symbolic processors to design both simple and complex vacuum systems. The widespread availability of software for the personal computer (Maple, MathCAD, Mathematica, etc.) provides a convenient means of analyzing the design of vacuum systems for large and small facilities. The overall vacuum system is easily expressed as a matrix equation that includes surface outgassing and vacuum pumping rates and can include such effects as opening and closing of valves. Once the matrix equation has been defined, it is a simple matter to derive pressure solutions as a function of the different variables and to determine the effects of opening or closing valves. Thus one can derive the vacuum pressure in each section of the entire system as a function of these variables and quickly optimize the overall vacuum system design. 2. MATHEMATICAL FRAMEWORK All vacuum systems can be modeled as a series of chambers or segments comprised of outgassing surfaces with mutual conductances between adjacent segments. In each segment, n, the mass flow of gas, Q n(Torrliters/sec) is equal to the outgassing from the surfaces of that segment, R n, plus the gas conducted in from the adjacent segments minus the gas conducted out into the adjacent segments and minus any vacuum pumping, V, connected to that segment:
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://accelconf.web.cern.ch/accelconf/pac97/papers/pdf/4P021.PDF
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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