CN103017960B - Device for testing kinetic energy of spraying water drop - Google Patents

Abstract

The invention relates to a device for testing kinetic energy of a spraying water drop. The device comprises a sensor water receiving module, a signal conditioning module, a data collection module, a computer and a data analysis module, wherein the data analysis module is arranged inside the computer, the sensor water receiving module comprises a substrate, an array sensor which is composed of a plurality of piezoelectric membranes is arranged on the substrate, the sensor water receiving module us arranged below spraying water, a sensor outputs a sensed electric charge quantity Q through a forward electrode output end of the sensor after the sensor senses the water drop, a reverse electrode output end of the sensor is grounded, the signal conditioning module comprises an impedance conversion unit and an amplification unit, the impedance conversion unit is used for converting the electric charge quantity Q sensed by the sensor into a voltage quantity U<0> for output, the amplification unit is used for amplifying the voltage quantity U<0> output by the impedance conversion unit and outputting a voltage quantity U<out>, and the data collection module obtains the voltage signal U<out> output by the amplification unit in real time and inputs the voltage signal U<out> into the computer after analog-to-digital (A/D) conversion. The device is widely applicable to kinetic energy tests of spraying water drops in little sprinkling irrigation projects.

Description

A kind of sprinkling water droplet kinetic energy proving installation

Technical field

The present invention relates to a kind of proving installation, particularly about a kind of sprinkling water droplet kinetic energy proving installation.

Background technology

Microspray irrigation is one of important technology of realizing agricultural water conservation and Sustainable Water Resources Development.Spraying intensity of dripping water is an important performance characteristic of sprinkling irrigation sprinkler head, is also to evaluate the important indicator of spray irrigation system to soil and crop conformability.The water of certain pressure is from the nozzle ejection of shower nozzle, and water bundle divides in air, finally with the form of single water droplet, trickles down soil surface.When droplets impact its soil surface, the kinetic energy that water droplet has must exert an influence to the infiltration process of the soil erosion and water.Practice shows, shower nozzle sprays water droplet, and to hit kinetic energy excessive, can erosion soil surface, and cause soil compaction, cause runoff.Sealing of soil will reduce the performance of infiltrating of soil; Meanwhile, the skinning that soil surface forms also can affect crop and sprout, and excessive water droplet hits kinetic energy also can produce damage to crop blade face.

Because current domestic shortage can meet the sprinkling water droplet kinetic energy proving installation of engineering precision, therefore the unit's of detection general tree shower nozzle intensity of dripping water is measured, and has technique parameter request in concerned countries or industry standard and standard.Measure water droplet strike kinetic energy and depend primarily on the correlative factors such as drop diameter, water droplet sinking speed and water droplet density.Traditional method of testing is divided three steps: the first step, and test obtains the drop diameter to position apart from shower nozzle Different Diameter; Second step, application water droplet motion model, movement velocity and water droplet kinetic energy when calculating the single water droplet of trying to achieve different-diameter and contacting with ground; The 3rd step, tries to achieve the water droplet kinetic energy to position apart from shower nozzle Different Diameter.For the measurement of drop diameter, from publishing, document, there are High Speed Photography, laser holography method, radar observation method, flour method, filter paper color spot method etc. both at home and abroad.Wherein with flour method, be most widely used, first the method is the fresh flour that tiles on the disk of certain area; Disk is placed in to spray water below, moment receives sprays water droplet again, and flour can form dough after absorbing water droplet; Secondly the flour disk that receives water droplet is put into oven drying, then with standard sieve classification, obtain the dried noodle powder ball of different sizes; Last according to the drop diameter of measuring in advance and the relation between dried noodle powder ball quality, by the dried noodle powder ball quality conversion of different stage, be corresponding drop diameter.

Above-mentioned flour method is measured drop diameter and is calculated that the process of water droplet kinetic energy is numerous and diverse, test period is long, and in most test process, manual operations easily produces operate miss, in solution procedure, also need application to simplify or experimental formula, this will cause, and measurement result precision is low, poor repeatability.The method is owing to being subject to the impact of wind direction, wind speed, the overlapping sprinkling of water droplet when field test, and actual measurement difficulty and measuring error are larger.

Summary of the invention

For the problems referred to above, the object of this invention is to provide that a kind of operating process is simple, the high and reproducible sprinkling water droplet kinetic energy proving installation of measurement result precision.

For achieving the above object, the present invention takes following technical scheme: a kind of sprinkling water droplet kinetic energy proving installation, is characterized in that: it comprises that sensor is subject to water module, signal condition module, data acquisition module, computing machine and is arranged on the data analysis module in described computing machine; Described sensor is subject to water module to comprise a substrate, is provided with the sensor array being comprised of some piezoelectric films on described substrate; Described sensor is subject to water module to be arranged on spray water below, and described sensor sensing sprays after water droplet, the forward electrode output output by the quantity of electric charge Q sensing through described sensor; The reverse electrode output head grounding of described sensor; Described signal condition module comprises an impedance transformation unit and an amplifying unit, described impedance transformation unit for by described sensor sensing to quantity of electric charge Q convert voltage U to ₀output; The voltage U of described amplifying unit for described impedance transformation unit is exported ₀output voltage amount U after amplifying _out; The voltage signal U of amplifying unit output described in described data acquisition module Real-time Obtaining _out, carry out being input to described computing machine after A/D conversion; Described data analysis module comprises a unlatching unit, a sampling unit, a computing unit, a display unit, a storage unit and a demarcation unit; The startup of data analysis module and stopping described in described unlatching unit controls; Described sampling unit is adjusted frequency acquisition and the time of described data acquisition module; Described computing unit, for calculating singly dripping of different radii R, differing heights h, drops onto the dynamic impact forces F and the kinetic energy E that on described sensor, produce _k; Described display unit is for showing the process of singly dripping contacting with described sensor, the real-time voltage value U that described data collecting module collected arrives _out; Described storage unit is for storing the voltage signal U that described data collecting module collected arrives _out; Described demarcation unit is for the output voltage values U singly dripping to different radii R, differing heights h _outdemarcate the magnitude of voltage U that the magnitude of voltage U producing in theory and actual measurement are arrived _outcontrast, obtain the modified value of calibration result.

Described computing unit calculates singly dripping of different radii R, differing heights h, drops onto the dynamic impact forces F and the kinetic energy E that on described sensor, produce _k, calculate by the following method: 1) suppose that the dynamic impact forces producing on described sensor is F, the output voltage values U of described impedance transformation unit ₀for,

$U_0=-\frac{{\mathrm{Fd}}_{\mathrm{ij}}}{C_f};---\left(1\right)$

In formula, d _ijfor the piezoelectric constant of described sensor, C _ffor the feedback capacity in described impedance transformation unit;

2) amplification coefficient of supposing described amplifying unit is K, the voltage signal U that described data collecting module collected arrives _outfor,

U _out＝-KU ₀；（2）

3) simultaneous formula (1) and formula (2) draw,

$U_{\mathrm{out}}=\frac{{\mathrm{Kd}}_{\mathrm{ij}}}{C_f}F;---\left(3\right)$

$F=\frac{C_f}{{\mathrm{Kd}}_{\mathrm{ij}}}{U}_{\mathrm{out}};---\left(4\right)$

By formula (4), drawn the dynamic impact forces F that single water droplet produces on described sensor;

4) according to theorem of kinetic energy and theorem of momentum,

$E_K=\mathrm{mgh}=\frac{1}{2}{\mathrm{mV}}^2;---\left(5\right)$

mV＝Ft；（6）

In formula, the quality that m is single water droplet; H is water droplet free-falling height; The speed of moment when V is water droplet contact piezo film sensor 12; T is that water droplet acts on the time on described sensor;

5) simultaneous formula (5) and formula (6), derive kinetic energy E _kand the relational expression between water droplet impulsive force F is,

$E_K=\frac{1}{2}{\mathrm{mV}}^2=\frac{{\left(\mathrm{Ft}\right)}^2}{2m};---\left(7\right)$

6) simultaneous formula (3), formula (7), show that the had kinetic energy that singly drips is E _koutput voltage U with described amplifying unit _outfuntcional relationship as follows,

$E_K=\mathrm{mgh}={\left(\frac{C_{f}t}{{\mathrm{Kd}}_{\mathrm{ij}}}\right)}^2\frac{1}{2m}{U}_{\mathrm{out}}^2;---\left(8\right)$

7) suppose that the volume singly dripping is V _vwith the density of water be ρ, the quality m of water droplet is,

m＝ρV _v；（9）

8) suppose the volume V of water droplet _vfor spheroid, volume V _vhave with the radius R of water droplet,

$V_v=\frac{4}{3}{\mathrm{\&pi;R}}^3;---\left(10\right)$

9) simultaneous formula (9) and formula (10) draw,

$m=\frac{4}{3}{\mathrm{\&rho;\&pi;R}}^3;---\left(11\right)$

10) simultaneous formula (8) and (11) draw, the had kinetic energy that singly drips is E _kand the relation between radius R,

$E_K=\mathrm{mgh}={\left(\frac{C_{f}t}{{\mathrm{Kd}}_{\mathrm{ij}}}\right)}^2\frac{3}{8\mathrm{\&rho;\&pi;}{R}^3}{U}_{\mathrm{out}}^2;---\left(12\right)$

11) by formula (8), derived,

$U_{\mathrm{out}}=\sqrt{2\mathrm{gh}}\frac{d_{\mathrm{ij}}K}{C_{f}t}m;---\left(13\right)$

12) simultaneous formula (13) and formula (11) draw, singly drip and act on the output voltage U on described sensor _outand the relation between the radius R singly dripping,

$U_{\mathrm{out}}=\sqrt{2\mathrm{gh}}\frac{4\mathrm{\&rho;}{\mathrm{\&pi;d}}_{\mathrm{ij}}K}{3C_{f}t}{R}^3.---\left(14\right)$

Described sensor is adopted and is fixedly installed in the method for paste on described substrate.

Described sensor the selection of material is organic piezoelectric materials.

Described substrate adopts poly (methyl methacrylate) plate.

CA3140 integrated chip is selected in described impedance transformation unit, and described data acquisition module is selected USB7333 multifunctional data acquisition card, and described data analysis module is the control program that LabWindows/CVI writes.

The present invention is owing to taking above technical scheme, it has the following advantages: 1, the present invention is subject to water module owing to being provided with sensor, signal condition module, data acquisition module, computing machine and data analysis module, therefore when tested water droplet is beaten when sensor is subject in water module, the impulsive force of moment will make sensor be subject to the sensor in water module to produce the corresponding quantity of electric charge, through circuit conditioning module, realize the quantity of electric charge to the conversion of small voltage amount, again through amplifying, after filtering, export to data acquisition module, data acquisition module carries out inputting computing machine after A/D conversion, after processing, data analysis module can obtain the test result of all water droplet kinetic energy in certain a period of time and space, greatly shortened measuring period, and operating process is simple, need manual operation link few, can effectively improve detecting reliability, precision and detection efficiency.2, the present invention is subject to water module owing to being provided with a sensor with sensor array, and sensor select pliability strong, can be made into arbitrary dimension, there is water resistance, organic piezoelectric materials Kynoar that frequency response is wide.Therefore, the dynamic impact forces of water droplet is acted on sensor and can be converted to charge signal, for realizing dynamic impulsion force measurement, provide most important data basis.3, the present invention is owing to being provided with a computing unit at data analysis module, computing unit can calculate according to the experimental result of singly dripping of different radii, differing heights, and then draw singly to drip and drop onto dynamic impact forces and the kinetic energy producing on sensor, and the funtcional relationship between proving installation output voltage signal.4, the present invention is owing to being provided with a demarcation unit at data analysis module, by demarcating unit, can demarcate the output voltage values singly dripping of different radii, differing heights, by the magnitude of voltage producing in theory and actual measurement to magnitude of voltage contrast, obtain the modified value of calibration result, make test result of the present invention more accurate.The present invention adopts data-collection mode to detect water droplet kinetic energy, can realize water droplet kinetic energy and detect, and detects convenient, simple to operate and precision is relatively high, can be widely used in the kinetic energy test of spraying water droplet in microspray irrigation engineering.

Accompanying drawing explanation

Fig. 1 is structural representation of the present invention

Fig. 2 is that sensor of the present invention is subject to water modular structure schematic diagram

Fig. 3 is signal condition modular structure schematic diagram of the present invention

Fig. 4 is data analysis module structural representation of the present invention

Fig. 5 is that radius of the present invention is 2mm water droplet output voltage theoretical value and measured value and test height graph of a relation

Fig. 6 is that radius of the present invention is 2mm water droplet kinetic energy theoretical value and measured value and test height graph of a relation

Embodiment

Below in conjunction with drawings and Examples, the present invention is described in detail.

As shown in Figure 1, the present invention includes a sensor and be subject to water module 1, a signal condition module 2, a data acquisition module 3, a computing machine 4 and a data analysis module 5.

As shown in Figure 2, sensor is subject to water module 1 to comprise a substrate 11, on substrate 11, be arranged side by side eight chip arrays piezo film sensors 12, the upper and lower faces of each sensor 12 is respectively arranged with one deck waterproof membrane, to prevent that water from dripping etc., affects the output that sensor detects charge Q.The leading-out terminal 13 of each sensor 12 adopts riveting method to draw positive and negative to electrode output 14,15.

As shown in Figure 1, Figure 3, signal condition module 2 comprises impedance transformation unit 21 and amplifying unit 22, and impedance transformation unit 21 is mainly used in impedance transformation and quantity of electric charge Q that sensor 12 is sensed converts voltage U to ₀output; The input end of impedance transformation unit 21 connects each sensor 12 forward electrode outputs 14, and sensor is subject to each sensor reverse electrode output terminal 15 ground connection of water module 1; The voltage U of amplifying unit 22 for impedance transformation unit 21 is exported ₀output voltage amount U after amplifying _out.

The voltage signal U of data acquisition module 3 Real-time Obtaining amplifying unit 22 outputs _out, and carried out being input to computing machine 4 after A/D conversion.

As shown in Figure 4, data analysis module 5 is arranged in computing machine 4, and it comprises a unlatching unit 51, a sampling unit 52, a computing unit 53, a display unit 54, a storage unit 55 and a demarcation unit 56.Open unit 51 for controlling the startup of data analysis module 5 and stopping; Sampling unit 52 is for adjusting frequency acquisition and the acquisition time of data acquisition module 3.Computing unit 53, for calculating singly dripping of different radii R, differing heights h, drops onto the dynamic impact forces F and the kinetic energy E that on sensor 12, produce _k.Display unit 54 is for showing the process of singly dripping contacting with sensor 12, the real-time voltage value U that data acquisition module 3 collects _out.The voltage signal U that storage unit 55 collects for storing data acquisition module 3 _out.Demarcate unit 56 for the output voltage values U singly dripping to different radii R, differing heights h _outdemarcate the magnitude of voltage U that the magnitude of voltage U producing in theory and actual measurement are arrived _outcontrast, obtain the modified value of calibration result, make test result of the present invention more accurate.

The dynamic impact forces F and the kinetic energy E that on computing unit 53 calculating sensors 12, produce _k, can calculate by the following method:

Suppose that the dynamic impact forces producing on sensor 12 is F, the output voltage values U of impedance transformation unit 21 ₀for,

$U_0=-\frac{{\mathrm{Fd}}_{\mathrm{ij}}}{C_f}---\left(1\right)$

In formula, d _ijfor the piezoelectric constant of sensor 12, C _ffor the feedback capacity in impedance transformation unit 21, C _f=C ₈.The amplification coefficient of supposing amplifying unit 22 is K, the voltage signal U that data acquisition module 3 collects _outfor,

U _out＝-KU ₀（2）

Simultaneous formula (1) and formula (2) can draw,

$U_{\mathrm{out}}=\frac{{\mathrm{Kd}}_{\mathrm{ij}}}{C_f}F---\left(3\right)$

$F=\frac{C_f}{{\mathrm{Kd}}_{\mathrm{ij}}}{U}_{\mathrm{out}}---\left(4\right)$

By formula (4), can draw the dynamic impact forces F that single water droplet produces on sensor 12.Again according to theorem of kinetic energy and theorem of momentum,

$E_K=\mathrm{mgh}=\frac{1}{2}{\mathrm{mV}}^2---\left(5\right)$

mV＝Ft（6）

In formula, the quality that m is single water droplet; H is water droplet free-falling height, can be by measuring during test; The speed of moment when V is water droplet contact piezo film sensor 12; T is that water droplet acts on the time on sensor 12, because water droplet is relatively short action time, through many experiments test, t can be approximately a constant, gets t=3.56 * 10 ^-7s.

Simultaneous formula (5) and formula (6) can be derived kinetic energy E _kand the relational expression between water droplet impulsive force F is,

$E_K=\frac{1}{2}{\mathrm{mV}}^2=\frac{{\left(\mathrm{Ft}\right)}^2}{2m}---\left(7\right)$

Simultaneous formula (3), formula (7) can show that the had kinetic energy that singly drips is E _koutput voltage U with amplifying unit 22 _outfuntcional relationship as follows,

$E_K=\mathrm{mgh}={\left(\frac{C_{f}t}{{\mathrm{Kd}}_{\mathrm{ij}}}\right)}^2\frac{1}{2m}{U}_{\mathrm{out}}^2---\left(8\right)$

Suppose that the volume singly dripping is V _vwith the density of water be ρ, the quality m of water droplet is,

m＝ρV _v（9）

Suppose the volume V of water droplet _vfor spheroid, volume V _vhave with the radius R of water droplet,

$V_v=\frac{4}{3}{\mathrm{\&pi;R}}^3---\left(10\right)$

Simultaneous formula (9) and formula (10), can draw,

$m=\frac{4}{3}{\mathrm{\&rho;\&pi;R}}^3---\left(11\right)$

Simultaneous formula (8) and (11) can draw, the had kinetic energy that singly drips is E _kand the relation between radius R,

$E_K=\mathrm{mgh}={\left(\frac{C_{f}t}{{\mathrm{Kd}}_{\mathrm{ij}}}\right)}^2\frac{3}{8\mathrm{\&rho;\&pi;}{R}^3}{U}_{\mathrm{out}}^2---\left(12\right)$

By formula (8), can derive relation,

$U_{\mathrm{out}}=\sqrt{2\mathrm{gh}}\frac{d_{\mathrm{ij}}K}{C_{f}t}m---\left(13\right)$

Simultaneous formula (13) and formula (11) can draw, singly drip and act on the output voltage U on sensor 12 _outand the relation between the radius R singly dripping,

$U_{\mathrm{out}}=\sqrt{2\mathrm{gh}}\frac{4\mathrm{\&rho;}{\mathrm{\&pi;d}}_{\mathrm{ij}}K}{3C_{f}t}{R}^3---\left(14\right)$

From formula (14), in the freely falling body test experiments singly dripping, be subject to the output voltage U of apparatus of the present invention after water droplet strike effect _outsquare amount be directly proportional to the height of drop h of water droplet.

Radius is 2mm, differing heights h singly drip and test be take in the demarcation unit 56 of data analysis module 5 of the present invention, the magnitude of voltage U that the magnitude of voltage U producing in theory and apparatus of the present invention actual measurement are arrived _outcontrast (as shown in Figure 5); And the kinetic energy values E that the kinetic energy values E producing in theory and apparatus of the present invention actual measurement are arrived _kcontrast (as shown in Figure 6).

In above-described embodiment, substrate 11 can adopt poly (methyl methacrylate) plate.

In above-described embodiment, sensor 12 can be adopted and be fixedly installed in the method for paste on substrate 11.Sensor 12 can the selection of material is organic piezoelectric materials PVDF(Kynoar) high molecular polymer, main because PVDF piezoelectric film has the features such as stronger pliability, waterproof and frequency response be wide.The reason that eight sensors 12 are set on organic glass 11 is: the face area of using when the useful area of these eight sensors 12 is measured with classic method flour method is corresponding, with this, sets up measurement reference.In actual applications, can select as required different types of sensor 12, the quantity of sensor 12 also can change to some extent.

In above-described embodiment, the leading-out terminal 13 of sensor 12 adopts silver electrode to draw, and the one, because silver-colored electric conductivity is better than aluminium, the 2nd, because silver electrode is applicable to measure analog output quantity, aluminium electrode is applicable to measuring switching value.

In above-described embodiment, CA3140 integrated chip can be selected in impedance transformation unit 21, and it is high that it has input impedance, the feature that input current is low; Amplifying unit 22 can be selected LM358 integrated chip.Data acquisition module 3 can be selected USB7333 multifunctional data acquisition card.Data analysis module 5 can be the control program that LabWindows/CVI writes.

Apparatus of the present invention in use, are first subject to sensor water module 1 to be placed in the optional position of spraying in region.As shown in Figure 1, connect each module of the present invention, open computing machine 4, log-on data analysis module 5.Open shower nozzle, log-on data analysis module 5 starts to gather, and reads measurement of correlation data.

The various embodiments described above are only for illustrating the present invention, and wherein the structure of each parts, connected mode etc. all can change to some extent, and every equivalents of carrying out on the basis of technical solution of the present invention and improvement, all should not get rid of outside protection scope of the present invention.

Claims (8)

1. spray a water droplet kinetic energy proving installation, it is characterized in that: it comprises that sensor is subject to water module, signal condition module, data acquisition module, computing machine and is arranged on the data analysis module in described computing machine;

Described sensor is subject to water module to comprise a substrate, is provided with the sensor array being comprised of some piezoelectric films on described substrate; Described sensor is subject to water module to be arranged on spray water below, and described sensor sensing sprays after water droplet, the forward electrode output output by the quantity of electric charge Q sensing through described sensor; The reverse electrode output head grounding of described sensor;

Described signal condition module comprises an impedance transformation unit and an amplifying unit, described impedance transformation unit for by described sensor sensing to quantity of electric charge Q convert voltage U to ₀output; The voltage U of described amplifying unit for described impedance transformation unit is exported ₀output voltage amount U after amplifying _out;

The voltage signal U of amplifying unit output described in described data acquisition module Real-time Obtaining _out, carry out being input to described computing machine after A/D conversion;

Described data analysis module comprises a unlatching unit, a sampling unit, a computing unit, a display unit, a storage unit and a demarcation unit; The startup of data analysis module and stopping described in described unlatching unit controls; Described sampling unit is adjusted frequency acquisition and the time of described data acquisition module; Described computing unit, for calculating singly dripping of different radii R, differing heights h, drops onto the dynamic impact forces F and the kinetic energy E that on described sensor, produce _k; Described display unit is for showing the process of singly dripping contacting with described sensor, the real-time voltage value U that described data collecting module collected arrives _out; Described storage unit is for storing the voltage signal U that described data collecting module collected arrives _out; Described demarcation unit is for the output voltage values U singly dripping to different radii R, differing heights h _outdemarcate the magnitude of voltage U that the magnitude of voltage U producing in theory and actual measurement are arrived _outcontrast, obtain the modified value of calibration result;

Described computing unit calculates singly dripping of different radii R, differing heights h, drops onto the dynamic impact forces F and the kinetic energy E that on described sensor, produce _k, calculate by the following method:

1) suppose that the dynamic impact forces producing on described sensor is F, the output voltage values U of described impedance transformation unit ₀for,

$U_0=-\frac{{\mathrm{Fd}}_{\mathrm{ij}}}{C_f}---\left(1\right)$

In formula, d _ijfor the piezoelectric constant of described sensor, C _ffor the feedback capacity in described impedance transformation unit;

2) amplification coefficient of supposing described amplifying unit is K, the voltage signal U that described data collecting module collected arrives _outfor,

U _out＝-KU ₀(2)

3) simultaneous formula (1) and formula (2) draw,

$U_{\mathrm{out}}=-\frac{{\mathrm{Kd}}_{\mathrm{ij}}}{C_f}F---\left(3\right)$

$F=\frac{C_f}{{\mathrm{Kd}}_{\mathrm{ij}}}{U}_{\mathrm{out}}---\left(4\right)$

By formula (4), drawn the dynamic impact forces F that single water droplet produces on described sensor;

4) according to theorem of kinetic energy and theorem of momentum,

$E_K=\mathrm{mgh}=\frac{1}{2}m{V}^2---\left(5\right)$

mV＝Ft (6)

In formula, the quality that m is single water droplet; H is water droplet free-falling height; The speed of moment when V is water droplet contact piezo film sensor 12; T is that water droplet acts on the time on described sensor;

5) simultaneous formula (5) and formula (6), derive kinetic energy E _kand the relational expression between water droplet impulsive force F is,

$E_K=\frac{1}{2}m{V}^2=\frac{{\left(\mathrm{Ft}\right)}^2}{2m}---\left(7\right)$

6) simultaneous formula (3), formula (7), show that the had kinetic energy that singly drips is E _koutput voltage U with described amplifying unit _outfuntcional relationship as follows,

$E_K=\mathrm{mgh}={\left(\frac{C_{f}t}{{\mathrm{Kd}}_{\mathrm{ij}}}\right)}^2\frac{1}{2m}{U}_{\mathrm{out}}^2---\left(8\right)$

7) suppose that the volume singly dripping is V _vwith the density of water be ρ, the quality m of water droplet is,

m＝ρV _v(9)

8) suppose the volume V of water droplet _vfor spheroid, volume V _vhave with the radius R of water droplet,

$V_v=\frac{4}{3}\mathrm{\&pi;}{R}^3---\left(10\right)$

9) simultaneous formula (9) and formula (10) draw,

$m=\frac{4}{3}\mathrm{\&rho;\&pi;}{R}^3---\left(11\right)$

10) simultaneous formula (8) and (11) draw, the had kinetic energy that singly drips is E _kand the relation between radius R,

$E_K=\mathrm{mgh}={\left(\frac{C_{f}t}{{\mathrm{Kd}}_{\mathrm{ij}}}\right)}^2\frac{3}{8\mathrm{\&rho;\&pi;}{R}^3}{U}_{\mathrm{out}}^2---\left(12\right)$

11) by formula (8), derived,

$U_{\mathrm{out}}=\sqrt{2\mathrm{gh}}\frac{d_{\mathrm{ij}}K}{C_{f}t}m---\left(13\right)$

12) simultaneous formula (13) and formula (11) draw, singly drip and act on the output voltage U on described sensor _outand the relation between the radius R singly dripping,

$U_{\mathrm{out}}=\sqrt{2\mathrm{gh}}\frac{4\mathrm{\&rho;\&pi;}{d}_{\mathrm{ij}}K}{3C_{f}t}{R}^3.---\left(14\right)$

2. a kind of sprinkling water droplet kinetic energy proving installation as claimed in claim 1, is characterized in that: described sensor is adopted and is fixedly installed in the method for paste on described substrate.

3. a kind of sprinkling water droplet kinetic energy proving installation as claimed in claim 1 or 2, is characterized in that: described sensor the selection of material is organic piezoelectric materials.

4. a kind of sprinkling water droplet kinetic energy proving installation as claimed in claim 1 or 2, is characterized in that: described substrate adopts poly (methyl methacrylate) plate.

5. a kind of sprinkling water droplet kinetic energy proving installation as claimed in claim 3, is characterized in that: described substrate adopts poly (methyl methacrylate) plate.

6. a kind of sprinkling water droplet kinetic energy proving installation as described in claim 1 or 2 or 5, it is characterized in that: CA3140 integrated chip is selected in described impedance transformation unit, described data acquisition module is selected USB7333 multifunctional data acquisition card, and described data analysis module is the control program that LabWindows/CVI writes.

7. a kind of sprinkling water droplet kinetic energy proving installation as claimed in claim 3, it is characterized in that: CA3140 integrated chip is selected in described impedance transformation unit, described data acquisition module is selected USB7333 multifunctional data acquisition card, and described data analysis module is the control program that LabWindows/CVI writes.

8. a kind of sprinkling water droplet kinetic energy proving installation as claimed in claim 4, it is characterized in that: CA3140 integrated chip is selected in described impedance transformation unit, described data acquisition module is selected USB7333 multifunctional data acquisition card, and described data analysis module is the control program that LabWindows/CVI writes.