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Note on a paper by Sinha and Odgaard ``Application of conformal mapping to diverging open channel flow''

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Abstract

A steady gravity-free two-dimensional potential flow separating a parent channel and an offtake channel is studied by conformal mapping of a half-strip in the Zhukovskii domain onto a strip with a cut in the complex potential domain. A parameter of the mapping and the equation of a free streamline are found by computer-algebra routines.

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References

  1. M.I. Gurevich, Theory of Jets in Ideal Fluids. New York: Academic Press, (1965) 585 pp.

    Google Scholar 

  2. P.Ya. Polubarinova-Kochina, Theory of Ground-Water Movement. Moscow: Nauka (1977) 665 pp.

    Google Scholar 

  3. M.J. Cooker, Potential flow for a steady jet in a wedge. Q. J. Mech. appl. Math. 52 (1999) 127-140.

    Google Scholar 

  4. N.B. Ilyinsky and A.R. Kacimov, Problems of seepage to empty ditch and drain. Water Resources Res. 28 (1992) 871-876.

    Google Scholar 

  5. D.V. Maklakov, A note on the optimum profile of a sprayless planing surface. J. Fluid Mech. 384 (1999) 281-292.

    Google Scholar 

  6. D.H. Peregrine and S. Kalliadsis, Filling flows, cliff erosion and cleaning flows. J. Fluid Mech. 310 (1996) 365-374.

    Google Scholar 

  7. J. Hureau and R. Weber, Impinging free jets of ideal fluid. J. Fluid Mech. 372 (1998) 357-374.

    Google Scholar 

  8. W.C. Hassenpflug, Branched channel free-streamlines. Comput. Methods Appl. Mech. Engrg. 159 (1998) 329-354.

    Google Scholar 

  9. S.K. Sinha and A.J. Odgaard, Application of conformal mapping to diverging open channel flows. J. Eng. Math. 30 (1996) 355-363.

    Google Scholar 

  10. V.T. Chow, Open Channel Hydraulics. New York: McGraw Hill (1959) 680 pp.

    Google Scholar 

  11. D.B. Kraatz and I.K. Mahajan, Small Hydraulic Structures. Rome: FAO (1975) 407 pp.

    Google Scholar 

  12. S. Wolfram. Mathematica, A System for Doing Mathematics by Computer. Redwood City: Addison-Wesley (1991) 961 pp.

    Google Scholar 

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Authors and Affiliations

  1. Dept. of Soil & Water Sciences, Sultan Qaboos University, P.O. Box 34, Al-Khod, 123, Sultanate of Oman

    A.R. Kacimov

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  1. A.R. Kacimov
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Kacimov, A. Note on a paper by Sinha and Odgaard ``Application of conformal mapping to diverging open channel flow''. Journal of Engineering Mathematics 37, 397–400 (2000). https://doi.org/10.1023/A:1004763326618

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  • DOI: https://doi.org/10.1023/A:1004763326618

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