Shooting Method for Saint Venant Equations of Furrow Irrigation

Wallender, W. W.; Rayej, Mohammad

doi:10.1061/(asce)0733-9437(1990)116:1(114)

Cited by 33 publications

(7 citation statements)

References 8 publications

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“…A closely related aspect of irrigation is the effect of water level on infiltration rate and ensuing soil water distributions in the soil profile. Previous studies have shown that the effect of water level on infiltration in borders is relatively minimal ͑Philip 1958; Parlange 1972͒ but that with furrows it has a first-order effect on the surface area over which infiltration occurs ͑Fangmeier and Ramsey 1978;Souza 1981;Wallender and Rayej 1990͒. The main objective of this study was to monitor twodimensional field-scale water flow and solute transport, and to more precisely evaluate the effect of water level on transport and distributions of water and bromide in a field with blocked-end furrows under variable conditions.…”

Section: Introductionmentioning

confidence: 99%

Effects of Flow Depth on Water Flow and Solute Transport in Furrow Irrigation: Field Data Analysis

Abbasi¹,

Adamsen²,

Hunsaker³

et al. 2003

J. Irrig. Drain Eng.

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Because of field-scale heterogeneity in soil hydraulic and solute transport properties, relatively large-scale experiments are now increasingly believed to be critical to better understand and predict the movement of water and dissolved solutes under field conditions. In this study, five field experiments were conducted on short blocked-end furrows to assess the effects of irrigation water level on water flow and solute transport in furrows. Three experiments were carried out, each of the same duration but with different amounts of water and solutes resulting from 6, 10, and 14 cm furrow water depths, designated as low, moderate, and high water levels, respectively. Two more experiments were performed with the same amounts of applied water and solute and, consequently, different durations, on furrows with depths of 6 and 10 cm of water. Results show that both the water level and the duration play an important role in transporting and distributing water and solutes in the soil profile. A positive correlation was found between water level and infiltrated amount of water or solute. Irrigation/solute application amounts increased with decreasing water level. Water and solutes were both distributed almost vertically ͑one-dimensionally͒ for the low water level and short application treatments, while they moved much more two-dimensionally with low and moderate water depths but longer application times. Irrigation with the 14 cm water level and short application time improved the distribution of water and solutes within the soil profiles, while also causing relatively less deep percolation of water and solutes as compared to low and moderate water levels and relatively long duration times.

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Section: Introductionmentioning

confidence: 99%

Effects of Flow Depth on Water Flow and Solute Transport in Furrow Irrigation: Field Data Analysis

Abbasi¹,

Adamsen²,

Hunsaker³

et al. 2003

J. Irrig. Drain Eng.

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“…The flow regime in surface irrigation is usually sub critical and the downstream conditions influence the upstream conditions. The finite difference solution begins from the downstream and estimates the upstream flow conditions (Wallender and Rayej, 1990). The roughness at any surface irrigation systems has been expressed often in terms of the Manning roughness coefficient "n" which can be calculated from equation 2 2For border irrigation, A is the variable flow cross-section area in m 2 , S is the border water surface bottom slope in m.m -1 , Q is the flow rate in m 3 .m -1 s -1 and P is the variable wetted perimeter in m.…”

Section: Mathematical Analysis Approachmentioning

confidence: 99%

Determination of Manning Roughness Coefficient for Border Irrigation System

Kassem

GHONİMY

2011

Misr Journal of Agricultural Engineering

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Manning roughness coefficient "n" is one of the most important factors affecting the border irrigation design. The purpose of this study is to determine the Manning roughness coefficient values "n" for border irrigation in a clay loam soil with compacted and uncompacted soil under continuous and surge flow. The determination was based on the volume balance equation in the form of a differential equation that was solved with the forward finite difference. The results indicated that, soil surface compaction had its effect on n values of the first irrigation and had not any effect for the next irrigations. For continuous flow, at first irrigation, the values of n were 0.1915 and 0.164 for un-compacted and compacted soils respectively. At the second irrigation, the n values decreased by about 44.51% and 49.82% compared to the first irrigation for compacted and un-compacted soil respectively. However, after the second irrigation, the seedling of wheat resulted on increases the n values. The minimum value, 0.083, of n was achieved at the second irrigation for surge flow. While, the maximum value, 0.25, of n was found at the seventh irrigation for continuous flow. Also, by using surge flow, the n values were decreased compared with those for continuous flow without vegetation crop or with wheat crop.

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“…An approximation of these equations was developed by rewriting them in an integral form and by a numerical integration by using weighted averages. The integral can be defined in either the Lagrangian coordinate system, which describes the flow by a cell that moves at an average flow velocity and deforms as it moves (Elliot et al, 1982;Wallender and Rayej, 1990), or in the Eulerian coordinate system, which consists of a space-time solution grid (Walker and Skogerboe, 1987;Bautista and Wallender, 1992;Tabuada et al, 1995). The last approach was followed in the hydrodynamic model for the conservation of mass and momentum as described by Walker and Skogerboe (1987).…”

Section: The Sirmod Modelmentioning

confidence: 99%

Simulation of continuous and surge flow irrigation under short field conditions

Ismail

Depeweg

2005

Irrig. and Drain.

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This paper describes the simulation results for continuous and surge flow irrigation under short field conditions by the computer model SIRMOD III in order to evaluate the performance and applicability of the model for short furrows and to investigate the viability of the two-point method for calculating infiltration parameters under continuous and surge flow irrigation in short fields. These specific field conditions are found on farms smaller than 1 ha and with a furrow length of 70 m. To evaluate the model a series of experiments has been carried out in two locations in Egypt and in one site in the Netherlands. The experiments in Egypt were conducted on a field with clay soil situated at the Agriculture Experimental Station, Assiut University, and on a sandy soil field located at the Assiut University Experimental Station for Desert Land, El-Wadi El-Assuity, Assiut. The experiments in the Netherlands were carried out at the Tunnel Experimental Setting of the Irrigation and Water Engineering Group of Wageningen University. The tunnel was covered as a greenhouse to protect the investigations against the external weather conditions, especially rainfall. Two soil types were available inside the tunnel, namely sandy clay and sandy clay loam. All the experiments were carried out in furrows with a blocked end and their length and width were 70 and 0.70 m, respectively.Measured field data were used to evaluate the computer model SIRMOD III. The results of the evaluation indicated that the model can accurately simulate continuous and surge flow irrigation under short field conditions for the measured infiltration parameters. These field data are very important for a good simulation of the advance time and consequently the infiltration. The two-point method can be successfully used to obtain the infiltration parameters for continuous and surge flow irrigation under short field conditions and for different soil types.

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Shooting Method for Saint Venant Equations of Furrow Irrigation

Cited by 33 publications

References 8 publications

Effects of Flow Depth on Water Flow and Solute Transport in Furrow Irrigation: Field Data Analysis

Effects of Flow Depth on Water Flow and Solute Transport in Furrow Irrigation: Field Data Analysis

Determination of Manning Roughness Coefficient for Border Irrigation System

Simulation of continuous and surge flow irrigation under short field conditions

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