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Part of the book series: Water Science and Technology Library ((WSTL,volume 10/3))

Abstract

This paper describes the present status of efforts to develop an alternative approach to hydraulics, in which probability and entropy concepts are combined with deterministic, fluid-mechanics principles. Some results of applying the approach in analysis and modeling of flows in pipes and open channels are also presented.

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References

  • Blaney, H. F. (1937). “Discussion of ”Stable Channels in Erodible Material.“ by E. W. Lane.” Trans., ASCE, Vol. 102.

    Google Scholar 

  • Chiu, C.-L., and Chiou, J.-D. (1986). “Structure of 3-D Flow in Rectangular Open Channels.” J. Hydr. Engrg., ASCE, 112 (11).

    Google Scholar 

  • Chiu, C.-L. (1987). “Entropy and Probability Concepts in Hydraulics.” J. Hydr. Engrg., ASCE, 113 (5), 583 – 600.

    Article  Google Scholar 

  • Chiu, C.-L. (1988). “Entropy and 2-D Velocity Distribution in Open Channels.” J. Hydr. Engrg., ASCE, 114 (7), 738 – 756.

    Article  Google Scholar 

  • Chiu, C.-L. (1989). “Velocity Distribution in Open- Channel Flow.” J. Hydr. Engrg., ASCE, 115 (5), 576 – 594.

    Article  Google Scholar 

  • Chiu, C.-L. (1991). “Application of Entropy Concept in Open-Channel Flow Study.” J. Hydr. Engrg., ASCE, 117 (5), 615 – 628.

    Article  Google Scholar 

  • Chiu, C.-L., and Murray, D. W. (1992). “Variation of Velocity Distribution along Non-Uniform Open Channel Flow.” J. Hydr. Engrg., ASCE, Vol. 118 (7), 989 – 1001.

    Article  Google Scholar 

  • Chiu, C.-L., and Rich, C. A. (1992). “Entropy-Based Velocity Distribution Model in Study of Distribution of Suspended-Sediment Concentration.” Proc., ASCE National Conf. on Hyd. Engrg., Baltimore, Aug., 1992.

    Google Scholar 

  • Chiu, C.-L., Lin, G.-F., and Lu, J.-M. (1993). “Application of Probability and Entropy Concepts in Pipe-Flow Study.” J. Hydr. Engrg., ASCE, Vol. 119 (6).

    Google Scholar 

  • Nikuradse, J. (1932). “Gesetzmäßigkeit der turbulenten Strömung in glatten Rohren.” Forschungsheft. 356.

    Google Scholar 

  • Schlichting, H. (1979). Boundary-Layer Theory, McGraw-Hill Book Co., New York, 596 – 621.

    Google Scholar 

  • Shannon, C. E. (1948). “A Mathematical Theory of Communication.” The Bell System Technical Journal, Vol. 27, October 1948, pp. 623 – 656.

    Google Scholar 

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© 1994 Springer Science+Business Media Dordrecht

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Chiu, CL. (1994). Application of Probability and Entropy Concepts in Hydraulics. In: Hipel, K.W., McLeod, A.I., Panu, U.S., Singh, V.P. (eds) Stochastic and Statistical Methods in Hydrology and Environmental Engineering. Water Science and Technology Library, vol 10/3. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3083-9_10

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  • DOI: https://doi.org/10.1007/978-94-017-3083-9_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4379-5

  • Online ISBN: 978-94-017-3083-9

  • eBook Packages: Springer Book Archive

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