Summary
A numerical model is developed to solve kinematic wave equations of border irrigation. This model accommodates transient infiltration, which may be defined by any of the well known infiltration models. Test runs, performed using different incremental values of time and space, were found to give results within 5% of one another, thus showing the stability of the numerical model. The conservation of volume of water was satisfied within 1% error at different values of time and space. Three sample data sets from field experiments were used to analyze the numerical model.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bassett DL, McCool DK (1973) A mathematical model of water advance and flow in small earth channels. Project Completion Report, Department of Agricultural Engineering, Washington State University, Pullman
Chen CL (1970) Surface irrigation using kinematic wave method. J Irrig Drain Div, ASCE 96(IR1):39
Clemmens AJ (1979) Verification of zero-inertia model for border irrigation. Trans ASAE 22(6):1306
Israelson OW (1932) Irrigation principles and practices. John Wiley, New York
Jobling GA, Turner AK (1973) Physical model study of border strip irrigation. J Irrig Drain Div, ASCE 99(IR4):493
Lewis MR, Milne WE (1938) Analysis of border irrigation. Agr Eng 19:267
Ram RS, Singh VP, Prasad SN (1983) Mathematical modeling of border irrigation. Tech. Rep. WRR5, Water Resources Program, Dept. of Civil Engineering, Louisiana State University, Baton Rouge, LA
Ram RS, Singh VP, Prasad SN (1986a) A quasi-steady state integral model for closed-end border irrigation. Agric Water Manag 11:39
Ram RS, Singh VP, Prasad SN (1986b) A quasi-steady state integral model for border irrigation. Irrig Sci 7:113
Roth RL, Fonken DW, Fangmeier DD, Atchison KT (1974) Data for border irrigation models. Trans ASAE 8:157
Sherman B, Singh VP (1978) A kinematic model for surface irrigation. Water Resour Res 14(2):357
Sherman B, Singh VP (1982a) Free boundary problems in channel flow. Rainfall-runoff relationship. Singh VP (ed) Water Resources Publications, Littleton, Colorado, pp 203–212
Sherman B, Singh VP (1982b) A kinematic model for surface irrigation: an extension. Water Resour Res 18(3):659
Singh VP, Ram RS (1983) A kinematic model for surface irrigation: Verification by experimental data. Water Resour Res 19(6):1599
Singh VP, Ram RS (1984) Solution to the kinematic wave equations for border irrigation. Agric Water Manage 9:127
Smith RE (1972) Border irrigation advance and ephemeral flood waves. J Irrig Drain Div ASCE 98(IR2):289
Strelkoff T, Katopodes ND (1977) Border irrigation hydraulics with zero inertia. J Irrig Drain Div ASCE 103(IR3):325
Weir GJ (1985) Surface irrigation advance after gate closure. WRR 21:1409
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Jain, S.K., Singh, V.P. A numerical kinematic wave model for border irrigation. Irrig Sci 10, 253–263 (1989). https://doi.org/10.1007/BF00257491
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00257491