This paper proposes a simple method for determining drip lateral length in relatively flat fields in which minor losses are not considered and a uniform emitter flow rate is assumed. This makes it possible to derive a useful relationship in a closed form to determine drip lateral length according to the Hazen-Williams and Blasius resistance equations. An important advantage of the proposed procedure for determining drip lateral length is that it helps users establish the characteristics of the commercial emitters that they should select, an issue that has been poorly addressed in the past. Finally, after deriving this new solution, the same relationship is extended to a case in which minor losses are considered, and the uniform emitters' flow rate assumption is relaxed. The results of all input data sets show that when neglecting minor losses, the relative error between the inlet pressure head estimated with the suggested procedure and that calculated with the exact numerical method is less than 2.5%. However, when minor losses are considered, the number of emitters must not exceed 300 to obtain this threshold error. Several applications are performed, showing the reliability of this new design procedure.Cet article propose une m & eacute;thode simple pour d & eacute;terminer la longueur lat & eacute;rale d'& eacute;gouttement dans des champs relativement plats, dans laquelle les pertes mineures ne sont pas prises en compte et un d & eacute;bit d'& eacute;metteur uniforme est suppos & eacute;. Cela permet de d & eacute;river une relation utile sous forme ferm & eacute;e pour d & eacute;terminer la longueur du lat & eacute;rale, selon les & eacute;quations de r & eacute;sistance de Hazen-Williams et Blasius. Un avantage important de la proc & eacute;dure propos & eacute;e pour d & eacute;terminer la longueur lat & eacute;rale est qu'elle aide les utilisateurs & agrave; & eacute;tablir les caract & eacute;ristiques des & eacute;metteurs commerciaux qu'ils devraient s & eacute;lectionner, une question qui a & eacute;t & eacute; mal abord & eacute;e dans le pass & eacute;. Finalement, apr & egrave;s avoir d & eacute;riv & eacute; cette nouvelle solution, la m & ecirc;me relation est & eacute;tendue & agrave; un cas dans lequel des pertes mineures sont consid & eacute;r & eacute;es, et l'hypoth & egrave;se de d & eacute;bit uniforme des & eacute;metteurs est assouplie. Les r & eacute;sultats de tous les ensembles de donn & eacute;es d'entr & eacute;e montrent qu'en n & eacute;gligeant les pertes mineures, l'erreur relative entre la hauteur de pression d'entr & eacute;e estim & eacute;e avec la proc & eacute;dure sugg & eacute;r & eacute;e et celle calcul & eacute;e avec la m & eacute;thode num & eacute;rique exacte est inf & eacute;rieure & agrave; 2.5%. Cependant, lorsque l'on consid & egrave;re des pertes mineures, le nombre d'& eacute;metteurs ne doit pas d & eacute;passer 300 pour obtenir ce seuil d'erreur. Plusieurs applications sont r & eacute;alis & eacute;es, d & eacute;montrant la fiabilit & eacute; de cette nouvelle proc & eacute;dure de conception.

Baiamonte, G. (2024). Closed‐form solution for the length of drip laterals and easy selection of commercial emitters for low‐slope fields under the Hazen–Williams and Blasius resistance equations. IRRIGATION AND DRAINAGE, 73(4), 1279-1291 [10.1002/ird.2969].

Closed‐form solution for the length of drip laterals and easy selection of commercial emitters for low‐slope fields under the Hazen–Williams and Blasius resistance equations

Baiamonte, Giorgio
Primo
Conceptualization
2024-05-02

Abstract

This paper proposes a simple method for determining drip lateral length in relatively flat fields in which minor losses are not considered and a uniform emitter flow rate is assumed. This makes it possible to derive a useful relationship in a closed form to determine drip lateral length according to the Hazen-Williams and Blasius resistance equations. An important advantage of the proposed procedure for determining drip lateral length is that it helps users establish the characteristics of the commercial emitters that they should select, an issue that has been poorly addressed in the past. Finally, after deriving this new solution, the same relationship is extended to a case in which minor losses are considered, and the uniform emitters' flow rate assumption is relaxed. The results of all input data sets show that when neglecting minor losses, the relative error between the inlet pressure head estimated with the suggested procedure and that calculated with the exact numerical method is less than 2.5%. However, when minor losses are considered, the number of emitters must not exceed 300 to obtain this threshold error. Several applications are performed, showing the reliability of this new design procedure.Cet article propose une m & eacute;thode simple pour d & eacute;terminer la longueur lat & eacute;rale d'& eacute;gouttement dans des champs relativement plats, dans laquelle les pertes mineures ne sont pas prises en compte et un d & eacute;bit d'& eacute;metteur uniforme est suppos & eacute;. Cela permet de d & eacute;river une relation utile sous forme ferm & eacute;e pour d & eacute;terminer la longueur du lat & eacute;rale, selon les & eacute;quations de r & eacute;sistance de Hazen-Williams et Blasius. Un avantage important de la proc & eacute;dure propos & eacute;e pour d & eacute;terminer la longueur lat & eacute;rale est qu'elle aide les utilisateurs & agrave; & eacute;tablir les caract & eacute;ristiques des & eacute;metteurs commerciaux qu'ils devraient s & eacute;lectionner, une question qui a & eacute;t & eacute; mal abord & eacute;e dans le pass & eacute;. Finalement, apr & egrave;s avoir d & eacute;riv & eacute; cette nouvelle solution, la m & ecirc;me relation est & eacute;tendue & agrave; un cas dans lequel des pertes mineures sont consid & eacute;r & eacute;es, et l'hypoth & egrave;se de d & eacute;bit uniforme des & eacute;metteurs est assouplie. Les r & eacute;sultats de tous les ensembles de donn & eacute;es d'entr & eacute;e montrent qu'en n & eacute;gligeant les pertes mineures, l'erreur relative entre la hauteur de pression d'entr & eacute;e estim & eacute;e avec la proc & eacute;dure sugg & eacute;r & eacute;e et celle calcul & eacute;e avec la m & eacute;thode num & eacute;rique exacte est inf & eacute;rieure & agrave; 2.5%. Cependant, lorsque l'on consid & egrave;re des pertes mineures, le nombre d'& eacute;metteurs ne doit pas d & eacute;passer 300 pour obtenir ce seuil d'erreur. Plusieurs applications sont r & eacute;alis & eacute;es, d & eacute;montrant la fiabilit & eacute; de cette nouvelle proc & eacute;dure de conception.
2-mag-2024
Settore AGRI-04/A - Idraulica agraria e sistemazioni idraulico-forestali
Baiamonte, G. (2024). Closed‐form solution for the length of drip laterals and easy selection of commercial emitters for low‐slope fields under the Hazen–Williams and Blasius resistance equations. IRRIGATION AND DRAINAGE, 73(4), 1279-1291 [10.1002/ird.2969].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/662873
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