Abstract

There are several models for hydraulic designs and optimization of lateral lines depending on the existing pressure head profile and flow which allows designing longer lateral lines, therefore decreasing the cost of the system implementation. A model has been developed to calculate the pressure head and required flow rate at the inlet of lateral line using the back step method. A set of equations was implemented in an algorithm in the R language. For the calculations, the following variables must be provided: pressure head at the end of the lateral line (Hend), coefficients K and x of the characteristic equation (flow-pressure) of the emitter, pipe diameter (D), emitter spacing (Se) and number of emitters (Ne). For the evaluation of the model, the pressure head at the end of the lateral line, the pipe diameter and the number of emitters were varied within the established limits. Relationships between these variables were established by regression analysis using the least-squares method. The model shown in the study was suitable for the calculation of the pressure head and flow rate profile along the lateral line. The power, plateau, exponential and linear equations were adjusted to describe these relationships. These equations can help in the design of irrigation systems by simplifying the procedures in order to meet the design criteria. Also, the proposed equations allow evaluation of the systems still in the design phase.

Highlights

  • Irrigated agriculture has been increasing in Brazil

  • There are several models for hydraulic designs and optimization of lateral lines depending on the existing pressure head profile and flow which allows designing longer lateral lines, decreasing the cost of the system implementation

  • For the evaluation of the model, the pressure head at the end of the lateral line, the pipe diameter and the number of emitters were varied within the established limits

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Summary

Introduction

With the high availability of water resources in the country, there is no concern with the rational use of water, leading to low efficiency of irrigation systems. Such fact can be attributed to inadequate management and erroneous hydraulic design (AYARS, 2007). According to IICA (2008), in Brazil, the design of the irrigation hydraulic system is constantly neglected, causing 36% of water to be lost in the system. These losses are attributed to poor distribution in hydraulic structures. The laterals must be designed to meet the water distribution uniformity criteria (Wu, 1997), defined as the ability of an irrigation system to deliver the same amount of water over an irrigated area. (Sokol et al, 2019)

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