A Simple Model to Estimate Wetted Soil Volume from the Trickle by Use of the Dimensional Analysis Technique

  • Farhad Mirzaei
  • Mojtaba Hatami
  • Fatemeh Mousazadeh
Conference paper

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 volume 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Refrences

  1. 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
  2. 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
  3. Burt C M, J T Barrerars (1999) Evaluation of retrievable drip irrigation system. ITRC paper No: P01-001.1–5.Google Scholar
  4. 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
  5. Cresswell H P, Z Paydar (1999) Funditional evaluation of methods for predicting the soil water characteristic. Journal of Hydrology 227. 160–172.CrossRefGoogle Scholar
  6. Daniel H, A W Warrick, R S Baker, C Rosenzweig (1998) Environmental Soil Physics. Academic Press.Google Scholar
  7. Daniel H (1982) Advances in Irrigation. Academic Press, 238–251.Google Scholar
  8. Daugherty R L(1977) Fluid mechanics’ with engineering applications. 184–188.Google Scholar
  9. Eshel Bresler (1978). Analysis of trickle Irrigation with application to design problems. Irrigation science. 1, 3–17.CrossRefGoogle Scholar
  10. Gaiswal C S, Chhedi Lal (2001) Wetted front advancement under surface line surface condition. Proceeding of Sixth International Microirrigation Congress. 142–148.Google Scholar
  11. Keller J, D Karmeli (1975) Trickle Irrigation. Rain Bird Sprinkler Manufacturing Corporation, Glendora, California 91740, U. S. A.Google Scholar
  12. 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
  13. Philip J R (1984) Travel times from buried and surface infiltration point Surfaces, Water Resources Research, Vol. 20. No. 7, 990–994.CrossRefGoogle Scholar
  14. 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
  15. 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
  16. 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
  17. Streeter Victor Lyle, Wylie E Benjamin, K W Bedford (1998) Fluid mechanics. McGraw-Hill.Google Scholar
  18. Thorburn P J, F J Cook, K L Bristow (2003) Soil-dependent wetting from trickle emitters. email: peter.Thorburn@CSIRO.auGoogle Scholar
  19. Warrick A W (1985) Point and line infiltration calculation of the wetted soil surface, sci.soc.M. J., VOL. 49. 1581–1583.Google Scholar
  20. Zur, B (1996) Wetted soil volume as a design objective in trickle irrigation. Irrigation Sci, 16: 101–105.CrossRefGoogle Scholar

Copyright information

© Tsinghua University Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg 2009

Authors and Affiliations

  • Farhad Mirzaei
    • 1
  • Mojtaba Hatami
    • 2
  • Fatemeh Mousazadeh
    • 3
  1. 1.Faulty of water and soil Eng.University of TehranKarajIran
  2. 2.Water engineering DeptMazanderan UniversityIran
  3. 3.Ab&Khak consulting EngineeringIran

Personalised recommendations