Construction and Validation of Sprinkler Pattern Radius Computational Model

Abstract In ascertaining the sprinkler and micro-sprinkler computational approach. computing models of sprinkler pattern radius were generated in accordance with hydraulic parameters such as, nozzle diameter(E), working pressure(P), installation heights(D), jet angle of sprinkler flow(A), discharging coefficient(µ), wind direction(WD) and wind Speed (WS), water flow state, and motion of water droplets in the air, as well as accounted for Newton's second law of motion, aerodynamics, and fluid mechanics principles. Furthermore, it was confirmed that the empirical formula for the typical sprinkler pattern radius, which related E, P, A, D, WD, and WS. The results demonstrated a substantial correlation between the sprinkler pattern radius and E, P, D, A, μ, WD, WS, water flow regime, and droplet motion in the air, the sprinkler pattern radius increased in the downwind by 5.2342%-10.6278%, and decreased in the headwind by 4.6897%-9.8623% than the absence of wind, additionally, the direction of sprinkler pattern radius changed with the WD altered, meanwhile, sprinkler pattern radius dropped with WS increased. Between the calculated and measured values of the computational model, the r2(coefficients of determination), c(coefficient of concordance), RMSE(mean root square error), MBE(mean bias error), MAE(mean absolute error), and MRE(mean relative error) were 0.9146, 0.9205, 8.7748%, 10.4980%, 8.2524%, and 8.1421%, respectively, the computed values and measured values of computational model in wind had fewer r2 and c, as well as bigger RMSE, MBE, MAE, and MRE compared to no wind. This study's computational model features a straightforward concept, a wide range of influencing factors, full physical significance, high computational accuracy, a negligibly small error, and broad applicability, the sprinkler pattern radius as it changes can be accurately reflected by the computer model, this study offers theoretical support for estimating sprinkler hydraulic performance as well as technical backing for sprinkler irrigation system strategy and design, it has significance for promoting the sprinkler irrigation quality.