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A mathematical model for border irrigation III. Evaluation of Models

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Summary

This paper, the concluding one of a series of three, evaluates 9 border irrigation models (3 for advance, 3 for vertical recession and 3 for horizontal recession) which have closed-form solutions. Experimental data from 10 vegetated and nonvegetated borders are used to compare these models with the proposed (Singh-Yu or SY) model derived in Parts I and II. The proposed model is found to be superior in terms of accuracy, ease of application, and physical basis of parameters.

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References

  • Atchison KT (1973) Retardance coefficients and other data for a vegetated irrigation border. Unpublished M.S. Thesis, University of Arizona, Tucson, AZ, USA

    Google Scholar 

  • Chen CL, Hansen VE (1966) Theory and characteristics of overland flow. Trans ASAE 9:20

    Google Scholar 

  • Christiansen JE, Bishop AA, Fok YS (1959) The intake rate as relate to the advance of water in surface irrigation. Presented at the Winter Meetings ASAE, Chicago, IL, USA

  • Fok YS, Bishop AA (1965) Analysis of water advance in surface irrigation. J Irrig Drain Div ASCE 9 (IRI):99

    Google Scholar 

  • Fonken DW, Carmody T, Laursen EM, Fangmeier DD (1980) Mathematical model of border irrigation. J Irrig Drain ASCE 106 (IR3):203

    Google Scholar 

  • Kiefer FW Jr (1959) Average depth of absorbed water in surface irrigation. Unpublished report, Civil Engineering Department, Utah State University, Logan, UT, USA

    Google Scholar 

  • Kostyakov AN (1932) On the dynamics of the coefficient of water percolation in soil and on the necessity of studying it from a dynamic point of view for purposes of amelioration. Trans Sixth Committee International Soc Soil Sci Part A, Russian, pp 17–21

  • Lewis MR, Milne WE (1938) Analysis of border irrigation. Agr Eng 19:267

    Google Scholar 

  • Ram RS, Lal R (1969) Recession of impounded water in an irrigated border with closed downstream end. Harvester, Indian Institute of Technol., Khargpur, India, 2 (1), pp 206–210

    Google Scholar 

  • Ram RS, Lal R (1971) Recession flow in border irrigation. J Agric Eng (ISAE) 8:62

    Google Scholar 

  • Ram RS, Singh VP (1982) Evaluation of models of border irrigation recession. J Agric Eng Res 27:235

    Google Scholar 

  • Roth RL (1971) Roughness during border irrigation. M.S. Thesis, University of Arizona, Tucson, AZ, USA

    Google Scholar 

  • Sherman B, Singh VP (1978) A kinematic model for surface irrigation. Water Resour Res 14:357

    CAS  PubMed  Google Scholar 

  • Singh VP, Ram RS (1983) A kinematic model for surface irrigation: verification by experimental data. Water Resour Res 19:1599

    Google Scholar 

  • Shockley DG, Woodward HJ, Phelan JT (1964) Quasirational method of border irrigation design. Trans Amer Soc Agric Eng 7:420

    Google Scholar 

  • Strelkoff T (1970) Numerical solution of the Saint Venant equations. J Hydr Div ASCE 96 (HY7):223

    Google Scholar 

  • Strelkoff T (1977) Algebraic computation of flow in border irrigation. J Irrig Drain Div ASCE 103 (IR3):357

    Google Scholar 

  • US Soil Conservation Service (1974) Border irrigation. In: National Engineering Handbook, Chapter 4, Section 15, USDS, SCS, Washington, DC, USA

    Google Scholar 

  • Wu IP, Bishop AA (1970) Graphical relation of intake, length of run and time. J Irrig Drain ASCE 96 (IR2):233

    Google Scholar 

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Singh, V.P., Yu, F.X. A mathematical model for border irrigation III. Evaluation of Models. Irrig Sci 8, 191–213 (1987). https://doi.org/10.1007/BF00259381

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  • DOI: https://doi.org/10.1007/BF00259381

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