Optimization Analysis of Laying Length of Thin-Wall Micro-Spray Belt Under Different Slope Conditions

Abstract

To optimize the laying length of the thin-walled micro-spraying belt, the field layout way of the micro-spraying belt was considered to determine the water head distribution coefficient β as 0.55 in lateral pipe. The allowable water head deviation of the micro-spraying belt was calculated. Combined with the energy conservation law, the models of the relative pressure function between the head end and the tail end of the micro-spraying belt under different slope-laying conditions were established, so were the mathematical relationships between the allowable head deviation of the micro-spraying belt and, the head end and the tail end relative pressure. Thus, the optimization of the laying length and slope was analyzed. It is found that the relationship between the relative pressure and the laying length is a decreasing function at the adverse slope while a parabolic function at the down slope. When the laying length of the micro-spraying belt is arranged to L0, the relative pressure P (L0) gets the maximum value. The paper put forward the laying length formula of the micro-spraying belt under different laying conditions—down slope, flat slope and adverse slope. The laying length of down slope of the micro-spraying belt with fold diameter of 43 and 64 mm was calculated under the condition of adverse slope at an incline of 0.01, 0.03 and 0.05 degrees and flat slope, respectively, aiming to provide a theoretical basis for engineering plan and design.