Development of a mathematical model using dimensional analysis for predicting the friction losses in drip irrigation laterals with cylindrical type in-line emitters

This paper presents a prediction model developed using dimensional analysis for friction losses in drip irrigation laterals. Drip irrigation laterals with cylindrical type in-line emitters placed at different spacings ranging from to 1 m were considered. | Turk J Agric For 28 (2004) 101-107 © TÜB‹TAK Development of a Mathematical Model Using Dimensional Analysis for Predicting the Friction Losses in Drip Irrigation Laterals with Cylindrical Type In-Line Emitters Vedat DEM‹R*, Hüseyin YÜRDEM, Adnan DE⁄‹RMENC‹O⁄LU Department of Agricultural Machinery, Faculty of Agriculture, Ege University, 35100, ‹zmir - TURKEY Received: Abstract: This paper presents a prediction model developed using dimensional analysis for friction losses in drip irrigation laterals. Drip irrigation laterals with cylindrical type in-line emitters placed at different spacings ranging from to 1 m were considered. The parameters affecting the variation in friction losses in laterals were defined as dimensionless terms using Buckingham’s pi theorem. In order to develop a model, experimental friction loss data from 14 different drip irrigation pipes, and some domestic and some imported ones with the above-mentioned spacings were used. The model developed in this study accounted for of the variation in the data. The results showed that the mathematical model may be used to determine friction losses in drip laterals with cylindrical type in-line emitters with spacings ranging from to 1 m. Key Words: Drip irrigation, emitters, friction loss, mathematical model, dimensional analysis ‹çine Geçik Silindirik Tip Damlat›c›l› Damla Sulama Borular›ndaki Sürtünme Kay›plar›n›n Kestiriminde Kullan›labilecek Bir Matematiksel Modelin Boyutsal Analiz Yöntemiyle Gelifltirilmesi Özet: Bu çal›flmada, damla sulama laterallerinde oluflan sürtünme kay›plar›n›n tahmininde kullan›labilecek bir matematiksel modelin gelifltirilmesi amaçlanm›flt›r. Matematiksel modelin gelifltirilmesinde boyutsal analiz yöntemi kullan›lm›flt›r. Çal›flmada, silindirik tip içine geçik damlat›c›lar›n - 1 m aras›nda de¤iflen aral›klarda yerlefltirildi¤i damla sulama borular› ele al›nm›flt›r. Borularda sürtünme kay›plar›n›n de¤iflimine neden olan parametreler, .

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