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Computer Modeling of Free-Surface and Pressurized Flows pp 447–458Cite as

Derivation of One-Dimensional Conservation Equations of Pressure Transients

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Part of the book series: NATO ASI Series ((NSSE,volume 274))

Abstract

The one-dimensional partial differential equations of mass and momentum are derived by applying control volume methods to an elastic conduit containing a compressible fluid. The derivation is accomplished by choosing a control surface to be represented by a differential element having cross sections (ends) fixed in space and wall boundary coincident with the pipe wall. By not including the pipe wall itself in the control volume the developed relationships do not directly include effects of the structure other than those of radial motion.

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References

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Author information

Authors and Affiliations

  1. School of Civil Engineering, Georgia Institute of Technology, Atlanta, Georgia, 30332, USA

    C. Samuel Martin

Authors
  1. C. Samuel Martin
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Editor information

Editors and Affiliations

  1. Washington State University, Pullman, WA, USA

    M. Hanif Chaudhry

  2. Arizona State University, Tempe, AZ, USA

    Larry W. Mays

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© 1994 Springer Science+Business Media Dordrecht

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Martin, C.S. (1994). Derivation of One-Dimensional Conservation Equations of Pressure Transients. In: Chaudhry, M.H., Mays, L.W. (eds) Computer Modeling of Free-Surface and Pressurized Flows. NATO ASI Series, vol 274. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0964-2_15

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  • DOI: https://doi.org/10.1007/978-94-011-0964-2_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4417-2

  • Online ISBN: 978-94-011-0964-2

  • eBook Packages: Springer Book Archive

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