MATHEMATICAL MODELS OF A REQUIRED POWER DESIGN FOR IRRIGATION WITH SMALL-SIZED ELECTRIC MOTORS

Luís Roberto Almeida Gabriel Filho ,Juliano Aparecido Vérri ,Odivaldo José Seraphim ,Fernando Ferrari Putti ,Camila Pires Cremasco ,Maria Cristina Rodrigues Halmeman ,A O Silva ,Fernando De Lima Caneppele

doi:10.18011/bioeng2015v9n2p99-108

Abstract

Irrigation methods in rural areas usually consist of pumping water from dams and reservoirs by engines connected to the electric power station or powered with diesel oil. Current assay establishes mathematical models for scaling low-power electric motors for irrigation in small cultivated areas. Equations of engine power were determined by numerical integration and by the theorem of kinetic energy. A geometric model was established with a paraboloid of revolution to determine the volume of the reservoir. A 3600 m² area was irrigated during 4 h, 380 m distant from the dam, with a 21° slope, for simulation purposes. The amount of water for irrigation was 5 U m² by means of a dam with diameter 14 m and 5 m deep. The establishment of mathematical models scaled up a 2.5 hp engine with a removal of 5000 L of water from a 385 000 L dam, with a variation of 7.2 cm and the immersion of the engine below this borderline.

Highlights

Irrigation is an agricultural practice for the supply of water to plants in places and at times when rainfall or other natural supply sources are insufficient to provide for their water requirements (SILVA; KLAR, 2010)
Concern is primarily focused on the size of the hydraulic apparatus, the feasibility of the enterprise depends on the efficiency and costs of its installation and functioning (CARVALHO; OLIVEIRA, 2008)
The performance of the low-power electric engine in water pumping may be assessed by methods contemplated by Physics and by Differential and Integral Calculus

Summary

Introduction

Irrigation is an agricultural practice for the supply of water to plants in places and at times when rainfall or other natural supply sources are insufficient to provide for their water requirements (SILVA; KLAR, 2010).According to Fedrizzi (1997), the pumping of water for human consumption, domestic animals and irrigation provides drinkable water to populations, the maintenance of herds and the increase in agricultural production and productivity and the seasonal regularity of production with food throughout the year and not merely in the rainy season.The dimensioning of water pumping devices is an important stage for the performance of irrigation pressurized systems (ZOCOLER et al, 2013). Irrigation is an agricultural practice for the supply of water to plants in places and at times when rainfall or other natural supply sources are insufficient to provide for their water requirements (SILVA; KLAR, 2010). According to Fedrizzi (1997), the pumping of water for human consumption, domestic animals and irrigation provides drinkable water to populations, the maintenance of herds and the increase in agricultural production and productivity and the seasonal regularity of production with food throughout the year and not merely in the rainy season. The correct sizing of an irrigation system requires the determination of maximum water requirements demanded by the plant (SANTOS JÚNIOR et al, 2014), the necessary time for irrigation (DADHICH et al, 2012) and the maximum available discharge of the water course without the jeopardizing of the latter (KUSTU et al, 2010) for the adequate use of the pumping system

Methods

Results

Conclusion