A Simple Model to Estimate Wetted Soil Volume from the Trickle by Use of the Dimensional Analysis Technique
Abstract
In efficient utilization of irrigation water resources, it is very important to determine dimension diameter (d) and depth (z) of wetted soil (wetting onion) at different times from commencement of irrigation (t). In this research, by utilization of physical factors effective in volume of wetted soil under point feeding source and by use of the Buckingham Π theorem and dimensional analysis, some dimensionless numbers were defined. Then the relations obtained by dimensional analysis were compared with laboratory data collected from a physical model. At last, a number of scientific-experimental equations were obtained that showed a good agreement with the experimental results. This indicates that the derived empirical functions could be used properly for designing drip irrigation system.
Key words
water resource dimensional analysis Buckingham Π theorem wetting soil volumePreview
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Refrences
- Appel D W, P G Hubbard, L Landweber, E M Laursen, J S McNown, H rouse, t T Siao, A toch, C S Yih (1959) Advanced Mechanics of Fluids. State University of Iowa City 5–14.Google Scholar
- Amithirigala W Jayawardena, pujitha B G Dissana yake (1999) Effective hydraulic conductivity for partially saturated porous media. Journal of Irrigation and drainage Engineering / March / April, 82–88.Google Scholar
- Burt C M, J T Barrerars (1999) Evaluation of retrievable drip irrigation system. ITRC paper No: P01-001.1–5.Google Scholar
- Camp C R, F R Lamm, R G Evans, C J Phene (2000) Now 14–16, subsurface drip irrigation-past, present, and future. Proceeding of the 4th Decennial National Irrigation Symposium, 363–372.Google Scholar
- Cresswell H P, Z Paydar (1999) Funditional evaluation of methods for predicting the soil water characteristic. Journal of Hydrology 227. 160–172.CrossRefGoogle Scholar
- Daniel H, A W Warrick, R S Baker, C Rosenzweig (1998) Environmental Soil Physics. Academic Press.Google Scholar
- Daniel H (1982) Advances in Irrigation. Academic Press, 238–251.Google Scholar
- Daugherty R L(1977) Fluid mechanics’ with engineering applications. 184–188.Google Scholar
- Eshel Bresler (1978). Analysis of trickle Irrigation with application to design problems. Irrigation science. 1, 3–17.CrossRefGoogle Scholar
- Gaiswal C S, Chhedi Lal (2001) Wetted front advancement under surface line surface condition. Proceeding of Sixth International Microirrigation Congress. 142–148.Google Scholar
- Keller J, D Karmeli (1975) Trickle Irrigation. Rain Bird Sprinkler Manufacturing Corporation, Glendora, California 91740, U. S. A.Google Scholar
- Nakayama F S, D A Bucks (1968) Trickle irrigation for crop production, design, operation and management. Elsevier Science publishers B. V. pp: 93–116. p. 383.Google Scholar
- Philip J R (1984) Travel times from buried and surface infiltration point Surfaces, Water Resources Research, Vol. 20. No. 7, 990–994.CrossRefGoogle Scholar
- Revol Ph, B E Clotheir, Lesaffre B, Vachaud G (1971) An approximate Time-dependent solution for point-sourc Infiltration. proceeding of the fifth international Micro irrigation congress. 603–608.Google Scholar
- Schwartzman M, b Zur (1986) Emitter spacing and Geometry of wetted soil volume. Journal of Irrigation and Drainage Engineering, Vol,112, No: 3.Google Scholar
- Shu Q, Liu Z, Wang Z, Liang H (2007) Simulation of the soil wetting shape under porous pipe sub-irrigation using dimentional analysis. Willy InterSience, Irri. And Drain 56:389–398.Google Scholar
- Streeter Victor Lyle, Wylie E Benjamin, K W Bedford (1998) Fluid mechanics. McGraw-Hill.Google Scholar
- Thorburn P J, F J Cook, K L Bristow (2003) Soil-dependent wetting from trickle emitters. email: peter.Thorburn@CSIRO.auGoogle Scholar
- Warrick A W (1985) Point and line infiltration calculation of the wetted soil surface, sci.soc.M. J., VOL. 49. 1581–1583.Google Scholar
- Zur, B (1996) Wetted soil volume as a design objective in trickle irrigation. Irrigation Sci, 16: 101–105.CrossRefGoogle Scholar