Method for calculating depth of sprayed water of translational sprinkler in different working conditions

Abstract

Disclosed is a method for calculating the depth of sprayed water of a translational sprinkler in different working conditions, involving placing rain barrels (3) in n rows in the movement direction of a translational sprinkler (1), each row having m barrels, such that the spray radius of rain droplets can completely cover the rain barrels (3) while ensuring that the translational sprinkler (1) is spraying stably; calculating the average sprinkler strength of each rain barrel (3); drawing a relationship curve of the sprinkler strength and the distance from the centre; setting the movement speed s of the translational sprinkler (1); establishing a function relationship between a sprinkler strength d′ and time t; calculating the time t2 needed for the translational sprinkler (1) to completely pass one of the rain barrels (3); and with the condition that the movement time is t2, performing mathematical integration on the sprinkler strength function to obtain the sprinkled depth of water at a certain rain barrel (3). The calculation method has a simple operation, is fast and can effectively save on costs, providing a basis for optimizing the movement speed of the translational sprinkler (1).

Claims

1. A method for controlling the movement and speed of a translational sprinkler in different working conditions comprising the following steps: a) placing rain gauge buckets with water-receiving opening in diameter D in n rows and m columns, at spacing a between the rows and between the columns, within the sprinkling radius range of sprinkler heads in the travel direction of the translational sprinkler, to collect sprinkled water droplets; b) selecting an working pressure of the translational sprinkler, to maintain the translational sprinkler in a state of stable sprinkling at fixed spots, and logging the volume of water droplets c.sub.ξ received in each rain gauge bucket within sprinkling time t1, wherein ξ=1, 2, 3, . . . , m×n, calculating average volume of water droplets c.sub.i=c.sub.ξ/m received in the rain gauge buckets in each row, wherein i=1, . . . , n, repeating the above-mentioned process for b times, calculating average volume of water droplets ν.sub.i=Σ.sub.j=1.sup.bc.sub.ij/b received in the rain gauge buckets in each row, wherein i=1, 2, 3, . . . , n, j=1, 2, 3, . . . , n, and calculating spot sprinkling intensity $d_i=v_i/\left[\pi .Math.\left(\frac{D}{2}\right).Math.t_1\right],$ wherein i=1, 2, . . . , n; c) establishing a relation curve of spot sprinkling intensity vs. distance from center: numbering the rain gauge buckets by the sequence of passing of the translational sprinkler as rain gauge bucket 1, rain gauge bucket 2, rain gauge bucket 3, . . . , rain gauge bucket n−1, and rain gauge bucket n, and plotting a relation curve of sprinkling intensity vs. distance from a sprinkler head at a center of the sprinkler heads, with the sprinkler head at the center as an origin, the distance of rain gauge bucket from the sprinkler head as x-axis, and the sprinkling intensity of sprinkler head as y-axis, and establishing a functional relationship d=f(L), wherein d is the sprinkling intensity, and L is the vertical distance of the sprinkler head at a center of the rain gauge buckets; d) setting a movement speed s of the translational sprinkler, establishing a mathematical curve of d=f(t) according to L=st and wherein t is time, and converting the relation curve of sprinkling intensity vs. distance from the sprinkler head at the center into a relation curve of sprinkling intensity vs. time t; e) setting the time required for the translational sprinkler to pass by a rain gauge bucket completely as t.sub.2, calculating a depth of sprinkled water H=∫.sub.0.sup.t2 f(t)dt collected after the translational sprinkler passes by the rain gauge bucket completely, which is the depth of sprinkled water at the rain gauge bucket in a travel cycle of the translational sprinkler; and f) controlling, based on the depth of sprinkled water at the rain gauge bucket in the travel cycle of the translational sprinkler, the movement speed s of the translational sprinkler to realize a desired depth of sprinkled water for sprinkling irrigation.

2. The method for controlling the movement and speed of a translational sprinkler in different working conditions according to claim 1 wherein when the relation curve of sprinkling intensity vs. distance from the sprinkler head at the center is plotted in the step c), only the positive half of x-axis is taken into consideration since the sprinkling area of the sprinkler head is circular and the negative part of x-axis is symmetric to the positive half of x-axis with respect to y-axis, and the depth of sprinkled water at a rain gauge bucket in a travel cycle of the translational sprinkler in the step e) is H=2∫.sub.0.sup.t2f(t)dt.

3. The method for controlling the movement and speed of a translational sprinkler in different working conditions according to claim 1 wherein the number n of rows of the rain gauge buckets is greater than 1, and the number m of rain gauge buckets in each row is greater than 1.

4. The method for controlling the movement and speed of a translational sprinkler in different working conditions according to claim 1 wherein the number b of repetition times is greater than 1.

5. The method for controlling the movement and speed of a translational sprinkler in different working conditions according to claim 1 wherein in the travel direction of the translational sprinkler, the sprinkling radius R of the sprinkler heads is 3.6 m, the number of the sprinkler heads is 3, the mounting spacing between the 3 sprinkler heads is 3 m, the altitude of the sprinkler heads from the ground is 1 m, the diameter D of the water-receiving opening of the rain gauge bucket is 0.2 m, n=11, m=9, and the spacing a between the rain gauge buckets is 0.3 m.

Description

IV. DESCRIPTION OF DRAWINGS

(1) FIG. 1 is a schematic layout diagram of the rain gauge buckets for a translational sprinkler.

(2) FIG. 2 is a flow diagram illustrating a method for controlling the movement and speed of a translational sprinkler in different working conditions.

(3) In the FIGURE: 1. translational sprinkler; 2—sprinkler head; 3—rain gauge bucket

V. EMBODIMENTS

(4) Hereunder the present invention will be further detailed in embodiments with reference to the accompanying drawings, but the protection scope of the present invention is not limited to those embodiments.

(5) To describe the method for calculating the depth of water sprinkled of a translational sprinkler in different working conditions provided in the present invention more clearly, a translational sprinkler 1 is selected as a test object, and the sprinkler heads used is a Nelson D3000 refraction sprinkler heads with sprinkling radius R of about 3.6 m, 3 sprinkler heads are mounted at 3 m spacing at 1 m height, and rain gauge buckets with water-receiving opening in diameter D=0.2 m are arranged in n rows and m columns at 0.3 m spacing from each other in the travel direction of the sprinkler for collecting sprinkled water droplets, wherein n=1 and m=9; the rain gauge buckets are fully covered by the water droplet sprinkling radius.

(6) First, the working pressure for the test is set to 0.07 Mpa, and the timing is started after the translational sprinkler 1 sprinkles stably; after the translational sprinkler sprinkles for 15 min. at fixed spots, the volume of water droplets c.sub.ξ received by each rain gauge bucket 3 within the 15 min. sprinkling time at fixed spots is logged, wherein ξ=1, 2, 3, . . . , m×n. The average volume of water droplets c.sub.i=c.sub.ξ/m received in the rain gauge buckets 3 in each row is calculated, wherein i=1, . . . , n. The test is repeated for 3 times under the same conditions, the average volume of water droplets ν.sub.i=Σ.sub.j=1.sup.bc.sub.ij/b received in the rain gauge bucket 3 is each row is calculated, wherein i=1, 2, 3, . . . , n, j=1, 2, 3, . . . , b, and the spot sprinkling intensity

(7) $\mathrm{di}=v_i/\left[\pi .Math.{\left(\frac{D}{2}\right)}^2.Math.t_1\right]$
is calculated, wherein i=1, 2, . . . , n.

(8) The average volume of water droplets received in the rain gauge buckets 3 in each row and the sprinkling intensity are shown in Table 1.

(9) TABLE-US-00001 TABLE 1 Average Volume of Sprinkled Water Received in Each Rain Gauge Bucket and Sprinkling Intensity Row No. 1 2 3 4 5 6 7 8 9 10 11 Volume 1.sup.st time 354 150 180 194 283 351 366 385 384 175 40 of 2.sup.nd time 418 154 190 215 287 417 470 490 485 372 136 Sprinkled 3.sup.rd time 370 146 185 194 283 390 453 522 520 355 110 Water, Average 380 149.6 181.6 201 284.3 386 429.6 465.6 463 300.6 94.6 mL value Sprinkling Intensity 12.1 4.76 5.78 6.4 9.05 12.29 13.7 14.8 14.7 9.6 3.0 (mm/h)

(10) A relation curve of spot sprinkling intensity vs. distance from center is established: the rain gauge buckets are numbered by the sequence of passing of the translational sprinkler as rain gauge bucket 1, rain gauge bucket 2, rain gauge bucket 3, . . . , rain gauge bucket n−1, and rain gauge bucket n, and a relation curve of sprinkling intensity vs. distance from the sprinkler head at the center is plotted, with the sprinkler head at the center as an origin, the distance of rain gauge bucket from the sprinkler head as x-axis, and the sprinkling intensity of sprinkler head as y-axis, and a functional relationship d=f(L) is established. When the relation curve of sprinkling intensity vs. distance from the sprinkler head at the center is plotted in the step c), only the positive half of x-axis is taken into consideration since the sprinkling area of the sprinkler head is circular and the negative part of x-axis is symmetric to the positive half of x-axis with respect to y-axis. The distance of the first rain gauge bucket from the sprinkler head at the center of the translational sprinkler is 0.3 m, a rain gauge bucket is placed at 0.3 m interval, and curve fitting is carried out according to the measurement data, to obtain a mathematical functional relationship between the sprinkling intensity and the distance of the rain gauge bucket from the sprinkler head at the center:
d=−33.55x+25.17x.sup.2−4.91x.sup.3+18.89

(11) The movement speed s of the sprinkler unit is set to s=2 m/min., a mathematical curve of d′=f(t) is established according to L=st, and the relation curve of sprinkling intensity vs. distance from the sprinkler head at the center into a relation curve of sprinkling intensity vs. time t. The above-mentioned functional relationship may be simplified as:
d′=−67.1t+100.68t.sup.2−39.28t.sup.3+18.89

(12) The time required for the sprinkler to pass by a rain gauge bucket completely is t.sub.2=0.03 h, the depth of sprinkled water

(13) $H^{\prime }=\underset{0}{\overset{t_2}{\int }}f\left(t\right)\mathrm{dt}$
collected after the sprinkler 1 passes by the rain gauge bucket 3 completely is calculated by integration according to the above-mentioned mathematical functional relationship y′. Since only the positive half of x-axis is taken into consideration, the depth of sprinkled water at a rain gauge bucket in a travel cycle of the translational sprinkler 1 is

(14) $H=2\underset{0}{\overset{t_2}{\int }}f\left(t\right)\mathrm{dt},i.e.\text{:}$$H=2\underset{0}{\overset{0.03}{\int }}\left(-67.1t+100.68t^2-39.28t^3+18.89\right)\mathrm{dt}$
Through the calculation, a result Q=1.07 mm is obtained, i.e., the depth of sprinkled water is 1.07 mm.

(15) While above described embodiments are preferred embodiments of the present invention, the present invention is not limited to those above embodiments. Any obvious improvement, replacement, or variation that can be made by those skilled in the art without departing from the spirit of the present invention shall be deemed as falling in the protection scope of the present invention.

(16) FIG. 2 is a flow diagram illustrating a method 200 for controlling the movement and speed of a translational sprinkler in different working conditions. The method 200 includes placing rain gauge buckets within a sprinkling radius range of sprinkler heads of a translational sprinkler at a step 202. The method 200 further includes selecting a working pressure of the translational sprinkler and logging the volume of water received in each rain gauge bucket at a step 204. The method 200 further includes establishing a relation curve of spot sprinkling intensity vs. distance from center at a step 206. The method 200 further includes setting a movement speed of the translational sprinkler at a step 208. The method 200 further includes setting a time required for the sprinkler to pass by a rain gauge bucket completely at a step 210. The method 200 further includes controlling, based on a depth of sprinkled water at the rain gauge bucket, the movement speed of the translational sprinkler to realize a desired depth of sprinkled water at a step 212.