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Network Analysis of Steam Generator Flow

  • T. A. Porsching
Part of the Modules in Applied Mathematics book series

Abstract

In this first section we want to examine the role of the steam generator in the overall operation of a nuclear power plant. In this way we hope to put into perspective the mathematical problem which will eventually evolve and, at the same time, to emphasize its importance.

Keywords

Pressure Drop Network Analysis Nuclear Power Plant Friction Factor Flow Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Steam, Its Generation and Use. New York: Babcock and Wilcox, 1972.Google Scholar
  2. [2]
    R. B. Potts and R. M. Oliver, Flows in Transportation Networks. New York: Academic, 1972.MATHGoogle Scholar
  3. [3]
    L. R. Ford and D. R. Fulkerson, Flows in Networks. Princeton, NJ: Princeton Univ. Press, 1962.MATHGoogle Scholar
  4. [4]
    C. Berge and A. Ghouila-Houri, Programming, Games and Transportation Networks. New York: Wiley, 1965.Google Scholar
  5. [5]
    R. G. Busacker and T. L. Saaty, Finite Graphs and Applications. New York: McGraw-Hill, 1965.MATHGoogle Scholar
  6. [6]
    The Holy Bible, Exodus 14:21.Google Scholar
  7. [7]
    C. C. MacDuffee, Vectors and Matrices, Carus Mathematical Monograph Number 7, Mathematical Association of America, 1943.MATHGoogle Scholar
  8. [8]
    G. Birkhoff, “A variational principle for nonlinear networks,” Q. Appli. Math., vol. 21, pp. 160–162, 1963.MathSciNetGoogle Scholar
  9. [9]
    J. G. Knudsen and D. L. Katz, Fluid Dynamics and Heat Transfer, New York: McGraw-Hill, 1958.MATHGoogle Scholar
  10. [10]
    R. Von Mises and K. O. Friedrichs, “Fluid dynamics,” in Applied Mathematical Sciences, vol. 5. New York: Springer-Verlag, 1971.Google Scholar
  11. [11]
    J. E. Meyer, “Hydrodynamic models for the treatment of reactor thermal transients,” Nucl. Sci. and Eng. vol. 10, pp. 269–277, 1961.Google Scholar
  12. [12]
    R. S. Varga, Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, New Jersey, 1962.Google Scholar
  13. [13]
    W. Rheinboldt, “On M-functions and their application to nonlinear Gauss-Seidel iterations and network flows,” J.Math. Anal. Appl., vol. 32, pp. 274–307, 1970.MathSciNetMATHCrossRefGoogle Scholar
  14. [14]
    J. Ortega and W. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables. New York: Academic, 1970.MATHGoogle Scholar
  15. [15]
    L. A. Hageman and T. A. Porsching, “Aspects of nonlinear block successive overrelaxation,” SIAM J. Numerical Anal., 1975.Google Scholar
  16. [16]
    D. Young, Iterative Solution of Large Linear Systems. New York: Academic, 1971.MATHGoogle Scholar
  17. [17]
    A. Ostrowski, Solution of Equations and Systems of Equations, 2nd ed. New York: Academic, 1966.MATHGoogle Scholar
  18. [18]
    J. Traub, Iterative Methods for the Solution of Equations. Englewood Cliffs, NJ: Prentice-Hall, 1964.MATHGoogle Scholar
  19. [19]
    S. K. Beal, “Deposition of particles in turbulent flow on channel or pipe walls,” Nucl. Sci. Eng., vol. 40, pp. 1–11, 1970.Google Scholar
  20. [20]
    ­_, “Prediction of heat exchanger fouling rates—A fundamental approach,” preprint of paper presented at AICHE Meeting, Nov. 1972.Google Scholar
  21. [21]
    W. A. Blackwell, Mathematical Modeling of Physical Networks. New York: Macmillan, 1968.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1983

Authors and Affiliations

  • T. A. Porsching
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of PittsburghPittsburghUSA

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