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Errors of kinematic-wave and diffusion-wave approximations for time-independent flows in infiltrating channels

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Abstract

Time-independent (or steady-state) cases of channel flow were treated and errors of the kinematic-wave and diffusion-wave approximations derived for finite flow at the upstream end. The diffusion-wave approximation was found to be in excellent agreement with the dynamic wave representation, with error magnitudes of 0.2% for values of KF 20 ≥7.5, where K is the kinematic-wave number and f 0 is the Froude number. Even for small values of KF 20 (e.g., KF 20 =0.75), the errors were typically in the range of 1.3 to 3.7%. The approximate analytical diffusion-wave solution performed poorly with error magnitudes greater than 30% even for large values of KF 20 . The kinematic-wave approximation was also found to be in good agreement with the dynamic-wave representation with errors of about 1.2% for KF 20 =7.5 and varying from 15 to 44% for KF 20 =0.75.

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References

  • Govindaraju RS, Jones SE, Kavvas ML (1988) On the diffusion wave model for overland flow. 2. Steady state analysis. Water Res Res 24: 745–754

    Google Scholar 

  • Morris M (1978) The effect of the small-slope approximation and lower boundary condition on the solutions of the Saint Venant equations. J Hydrol 40: 31–47

    Google Scholar 

  • Parlange JY, Hogarth W, Sander G, Rose C, Haverkamp R, Surin A, Brutsaert W (1990) Asymptotic expansion for steady-state overland flow. Water Res Res 26: 579–583

    Google Scholar 

  • Parlange JY, Hogarth W, Sander G, Surin A, Haverkamp R (1989) Comment on “On the diffusion wave model for overland flow.” 2. Steady state analysis. In: Govindaraju RS, Jones SE, Kavvas ML (1988) Water Res Res 25: 1923–1924

  • Pearson CP (1989) One-dimensional flow over a plane: criteria for kinematic wave modeling. J Hydrol 111: 39–48

    Google Scholar 

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, Louisiana State University, 70803-6405, Baton Rouge, LA, USA

    V. P. Singh & V. Aravamuthan

  2. Department of Civil Engineering, Southern University, 70813, Baton Rouge, LA, USA

    E. S. Joseph

Authors
  1. V. P. Singh
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  2. V. Aravamuthan
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  3. E. S. Joseph
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Singh, V.P., Aravamuthan, V. & Joseph, E.S. Errors of kinematic-wave and diffusion-wave approximations for time-independent flows in infiltrating channels. Irrig Sci 15, 137–146 (1994). https://doi.org/10.1007/BF00187199

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  • DOI: https://doi.org/10.1007/BF00187199

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