Open-access MATHEMATICAL MODEL FOR SIMULATION OF FURROW IRRIGATION ADVANCE PHASE

rbeaa Revista Brasileira de Engenharia Agrícola e Ambiental Rev. bras. eng. agríc. ambient. 1415-4366 1807-1929 Departamento de Engenharia Agrícola - UFCG ABSTRACT The mathematical models to forecast the surface irrigation are valuable tools capable to take into consideration several design alternatives with reduced cost and time. The aim of this study was to develop, in the Pascal language, a simplified computer mathematical model to simulate the furrow irrigation advance phase based on the Manning equation for the uniform water flow in channels and on the Kostiakov-Lewis equation. The furrow is hypothetically divided in small fixed space cells, in which the flow is assumed to be uniform and the "n" Manning roughness coefficient variable. Water balance along the furrow was studied considering the water infiltrated and that supplied from preceding segment. When it was used field measurements of high precision, the simulated values of advance time at the end of the field differed in 0.71% from those obtained in the field. Even when the model was tested under usual operation and management conditions, it still provided satisfactory results, showing an average of the differences between the simulated and measured times equal to 8.22%. The model showed to be a useful tool in the design of furrow irrigation systems. Texto completo disponível apenas em PDF. Full text available only in PDF format. REFERÊNCIAS BIBLIOGRÁFICAS BASSET, D.L.; FANGMEIR, D.D.; STRELKOF, T. Hidraulics of surface irrigation. In: JEMSEN, M.E. Design and operation of farm irrigations systems. St. Joseph. The American Society of Agricultural Engineers, 1983. Cap.12, p.447-98. BASSET D.L. FANGMEIR D.D. STRELKOF T. Hidraulics of surface irrigation JEMSEN M.E. Design and operation of farm irrigations systems St. Joseph The American Society of Agricultural Engineers 1983 Cap.12 447 498 BROWN, M.; KEMPER, W.D.; TROUT, T.J.; HUMPHERYS, A.S. Sedimant, erosion and water intake in furrows. Irrigation Science, New York, 9:45-55, 1988. BROWN M. KEMPER W.D. TROUT T.J. HUMPHERYS A.S. Sedimant, erosion and water intake in furrows Irrigation Science New York 9 45 55 1988 CHOW, V.T. Open-channel hydraulics. 22. Ed. Singapore, McGraw-Hill, 1986. 680p. CHOW V.T. Open-channel hydraulics 22. Ed Singapore McGraw-Hill 1986 680 ELLIOTT, R.L. & WALKER, W.R. Fiel evaluation of furrow infiltration and advance functions. Transactions of the ASAE, St. Joseph, 25(2):396-400, 1982. ELLIOTT R.L. WALKER W.R. Fiel evaluation of furrow infiltration and advance functions Transactions of the ASAE St. Joseph 25 2 396 400 1982 FANGMEIR, D.D.; RAMSEY, M.K. Intake characteristics of irrigation furrows. Transactions of the ASAE, St. Joseph, 22(1):93-9, 1979. FANGMEIR D.D. RAMSEY M.K. Intake characteristics of irrigation furrows Transactions of the ASAE St. Joseph 22 1 93 99 1979 GRASSI, C.J. Diseño y operación del riego por superficie. Mérida, CIDIAT, 1988. 415p. (Série RD, 36). GRASSI C.J. Diseño y operación del riego por superficie Mérida CIDIAT 1988 415 Série RD, 36 LEVIEN, S.L.A.; SOUZA, F. de. Algebraic computation of flow in furrow irrigation. Journal of Irrigation and Drainage Engineering. ASCE, New York, 113 (3):367-77, 1987. LEVIEN S.L.A. SOUZA F. de Algebraic computation of flow in furrow irrigation Journal of Irrigation and Drainage Engineering. ASCE New York 113 3 367 377 1987 REDDY, J.M. ; CLYMA, W. Optimal design of furrow irrigation system. Transactions of the ASAE, St. Joseph, 24(3):617-23, 1981. REDDY J.M. CLYMA W. Optimal design of furrow irrigation system Transactions of the ASAE St. Joseph 24 3 617 623 1981 SCALOPPI, E.J. Modelos matemáticos para simulação da irrigação superficial. Botucatu, 1983. 115p. (Livre Docência - Faculdade de Ciências Agronômicas/UNESP). SCALOPPI E.J. Modelos matemáticos para simulação da irrigação superficial Botucatu 1983 115 Livre Docência Faculdade de Ciências Agronômicas/UNESP SOUZA, F. de. Non linear hydrodinamic model of furrow irrigation. Davis, 1981. 172p. (PhD - University of California). SOUZA F. de Non linear hydrodinamic model of furrow irrigation Davis 1981 172 PhD - University of California SOUZA, F. de. Modelo matemático da irrigação por sulcos. Pesquisa Agropecuária Brasileira, Brasília, 19(9):1135-43. 1984. SOUZA F. de Modelo matemático da irrigação por sulcos Pesquisa Agropecuária Brasileira Brasília 19 9 1135 1143 1984 STRELKOF, T. Numerical solution of the Saint-Vanant equations. Journal of the Hydraulic Division. ASCE, New York, 96('HY1):223-52, 1970. STRELKOF T. Numerical solution of the Saint-Vanant equations Journal of the Hydraulic Division. 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Rome, FAO, 1989. 137p. (FAO - Irrigation and Drainage Paper, 45). WALKER W.R. Guidelines for designing and evaluation surface irrigations systems Rome FAO 1989 137 FAO - Irrigation and Drainage Paper, 45 WALKER, W.R.; SKOGERBOE, G. V. Surface irrigation: theory and practice. Englewood Cliffs, Prentice Hall, 1987. 386p. WALKER W.R. SKOGERBOE G. V. Surface irrigation: theory and practice Englewood Cliffs Prentice Hall 1987 386
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