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New mathematical model for computing head loss across sand media filter for microirrigation systems

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Abstract

Dimensional analysis was used to develop a new mathematical model that can describe head loss across sand filters for microirrigation using parameters that are easy to estimate. The developed model was compared with others previously developed. The study revealed that the new mathematical model had an adjusted coefficient of determination of 0.995 with no obvious pattern in its residual plot, in addition to other statistical parameters that revealed high precision and accuracy. Furthermore, the study exposed that the new developed model and the previously developed ones are adequate for computing head loss across sand filters. The selection among various models depends primarily on the available information about the microirrigation system and the applied effluent characteristics.

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References

  • Adin A, Alon G (1986) Mechanisms and process parameters of filter screens. J Irrig Drain Eng 112:293–304

    Article  Google Scholar 

  • Allison PD (1977) Testing for interaction in multiple regression. Am J Soc 83:144–153

    Article  Google Scholar 

  • Althauser RP (1971) Multicollinearity and non-additive regression models. In: Blalock HM (ed) Causal models in the social sciences. Aldine-Atherton, Chicago

    Google Scholar 

  • Aronino R, Dlugy C, Arkhangelsky E, Shandalov S, Oron G, Brenner A, Gitis V (2009) Removal of viruses from surface water and secondary effluents by sand filtration. Water Res 43:87–96

    Article  PubMed  CAS  Google Scholar 

  • AWWA (2003) Principles and practices of water supply operations: water treatment, 3rd edn. American Water Works Association, Denver

    Google Scholar 

  • Buckingham E (1915) Model experiments and the form of empirical equations. Trans ASME 37:263–296

    Google Scholar 

  • Burt CM, Styles SW (2000) Drip and microirrigation for trees, vines and row crops. Irrigation Training and Research Center (ITRC). California Polytechnic State University, San Luis Obispo

    Google Scholar 

  • Clesceri LS, Gneenbery AE, Eaton AD (1998) Standard methods for the examination of water and wastewater, 12th edn. American Public Health Association, Washington, DC

    Google Scholar 

  • Duran-Ros M, Puig-Bargués J, Arbat G, Barragán J, Ramírez de Cartagena F (2008) Definition of SCADA system for a microirrigation network with effluents. Comput Elect Agric 64:338–342

    Article  Google Scholar 

  • Duran-Ros M, Arbat G, Barragán J, Ramírez de Cartagena F, Puig-Bargués J (2010) Assessment of head loss equations developed with dimensional analysis for micro irrigation filters using effluents. Biosyst Eng 106:521–526

    Article  Google Scholar 

  • Haman DZ, Smajstrla AG, Zazueta FS (1994) Media filters for trickle irrigation in Florida. AE57 Agricultural and biological engineering department, florida cooperative extension service, institute of food and agricultural sciences. University of Florida, Gainesville

    Google Scholar 

  • McCabe WL, Smith JC, Harriott P (2001) Unit operation of chemical engineering, 6th edn. McGraw-Hill, New York

    Google Scholar 

  • McDonald DR, Lau LS, Wu IP, Gee HK, Young SCH (1984) Improved emitter and network system design for reuse of wastewater in drip irrigation. Technical Report no 163, Water resources research center. University of Hawaii, Honolulu, Hawaii

  • Nakayama FS, Boman BJ, Pitts DJ (2007) Maintenance. In: Lamm FR, Ayars JE, Nakayama FS (eds) Microirrigation for crop production: design, operation, and management. Developments in agricultural engineering, vol 13. Elsevier, Amsterdam

    Google Scholar 

  • Oron G, Shelef G, Turzynski B (1979) Trickle irrigation using treated wastewaters. J Irrig Drain Div 105:175–186

    Google Scholar 

  • Price JF (2003) Dimensional analysis of models and data sets. Am J Phys 71:437–447

    Article  Google Scholar 

  • Puig-Bargués J, Barragán J, Ramírez de Cartagena F (2005) Development of equations for calculating the head loss in effluent filtration in microirrigation systems using dimensional analysis. Biosyst Eng 92:383–390

    Article  Google Scholar 

  • Ravina I, Paz E, Sofer Z, Marcu A, Shisha A, Sagi G (1992) Control of emitter clogging in drip irrigation with reclaimed wastewater. Irrig Sci 13:129–139

    Article  Google Scholar 

  • Sonin AA (2001) The physical basis of dimensional analysis. Second edition. http://web.mit.edu/2.25/www/pdf/DA_unified.pdf. Accessed 14th Jan 2011

  • Wakeman R (2007) Filter media: testing for liquid filtration. Filtr 7:138–147

    CAS  Google Scholar 

  • Wisniak J, Polishuk A (1999) Analysis of residuals–a useful tool for phase equilibrium data analysis. Fluid Ph Equilib 164:61–82

    Article  CAS  Google Scholar 

  • Yurdem H, Demir V, Degirmencioglu A (2008) Development of a mathematical model to predict head losses from disc filters in drip irrigation system using dimensional analysis. Biosyst Eng 100:14–23

    Article  Google Scholar 

  • Yurdem H, Demir V, Degirmencioglu A (2010) Development of a mathematical model to predict clean water head losses in hydrocyclone filters in drip irrigation system using dimensional analysis. Biosyst Eng 105:495–506

    Article  Google Scholar 

Download references

Acknowledgments

The authors would like to thank the Spanish Ministry of Science and Innovation for their financial support through grant CGL2005-02201/HID. Author M. Elbana also acknowledges a research fellowship from the Spanish Ministry of Science and Innovation.

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Correspondence to J. Puig-Bargués.

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Communicated by K. Stone.

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Elbana, M., Ramírez de Cartagena, F. & Puig-Bargués, J. New mathematical model for computing head loss across sand media filter for microirrigation systems. Irrig Sci 31, 343–349 (2013). https://doi.org/10.1007/s00271-011-0310-4

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  • DOI: https://doi.org/10.1007/s00271-011-0310-4

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