CN103606323A - Free boundary electro-hydrodynamic analogue device and analogue method - Google Patents
Free boundary electro-hydrodynamic analogue device and analogue method Download PDFInfo
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- CN103606323A CN103606323A CN201310576178.6A CN201310576178A CN103606323A CN 103606323 A CN103606323 A CN 103606323A CN 201310576178 A CN201310576178 A CN 201310576178A CN 103606323 A CN103606323 A CN 103606323A
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Abstract
The invention discloses a free boundary electro-hydrodynamic analogue device and an analogue method. The device comprises variable power supply copper poles, adjustable supporting seats, horizontal bubbles, a high-frequency AC signal source, a variable model test domain, a high precision voltmeter, a voltage basic point, a measuring point, a variable resistor and a test platform boundary. The variable model test domain is formed by enclosing the test platform boundary. The variable power supply copper poles are connected with the test platform boundary. The device is provided with multiple adjustable supporting seats and multiple horizontal bubbles which are used for adjusting the device to be horizontal. The high-frequency AC signal source is connected with all the variable power supply copper poles via the variable resistor. The high precision voltmeter is connected with one pole of each variable power supply copper pole to act as the voltage basic point, and the end part of the other pole acts as the measuring points, wherein the measuring point can move at will within the variable model test domain to perform measurement. A flow field source and a complex boundary can be arranged at will according to a research object, and any point in the flow field can be measured so that a laminar flow with different boundaries and source flows or the flow field similar to the laminar flow can be measured.
Description
Technical field
The present invention relates to a kind of free boundary hydroelectric analoguesi-mulation device and analogy method, can measure in the flow field of approximate laminar flow, under certain border and barrier, the each point flow velocity in flow field, can analyze potentiometric map and the flow velocity figure in flow field.
Background technology
Hydroelectric analoguesi-mulation is in fluid mechanics experimental teaching and scientific research, analyzes the important content of Laminar Flow, and laminar motion and electric current flow in conducting medium, have physics and mathematical similarity between the two.In the equal resistivity conductive layer of uniform thickness, electric field potential function and current function and ideal fluid plane irrotational flow potential function and stream function all meet Laplace's equation, and explanation can be with the compare flow field of ideal fluid plane acylic motion of electric field in the even resistivity conductive layer of uniform thickness.So, under certain boundary condition, the insulation limit of available electric model simulation fluid boundary, the head boundary such as conductive border simulation, conducting medium simulation fluid.By hydroelectric analoguesi-mulation, test and can measure each isopotential point in electric model, can obtain equipotential line, by equipotential line analysis, draw simulation flow field.When water surface area, compare extremely widely with the depth of water, bottom surface is milder, and in the little situation of flow velocity, the water surface regards that plane flows and flow velocity is very low approx as, and gradient is very little, can ignore viscous effect.This situation can be regarded as to ideal fluid plane acylic motion, adopt hydroelectric analoguesi-mulation to test to simulate.
Yet at the current common experimental provision of hydroelectric analoguesi-mulation, using method is single, there is a lot of deficiencies in it.Experiment complex procedures, debugging and layout need the plenty of time; Source, flow field is unadjustable and single; DATA REASONING often according in tank fixedly the probe on measuring point obtain the electric signal gained magnitude of voltage of distribution; The manual operation many factors of experiment, causes experimental error relatively large, and the data precision and degree of accuracy are difficult to guarantee.So experiment general effect is not good, greatly restricted the function and application research range of this instrument.
Summary of the invention
In order to overcome the deficiencies in the prior art, the invention provides a kind of free boundary hydroelectric analoguesi-mulation device and analogy method.By this device, border, flow field can freely be changed arbitrarily, the arbitrfary point in measurable flow field, thus can obtain reliable detailed data, can adapt to different research objects.
A free boundary hydroelectric analoguesi-mulation device, comprises variable power supply copper-base, support with adjustable, spirit bubble, high frequency ac signal source, variable model measurement territory, high-accuracy voltage table, voltage basic point, measurement point, variable resistor, test platform border; Variable model measurement territory is surrounded by test platform border, variable power supply copper-base is connected with test platform border, described device is provided with a plurality of support with adjustables, a plurality of spirit bubbles, for regulating described installing to level, high frequency ac signal source is connected with each variable power supply copper-base by variable resistor, and high-accuracy voltage is connected to a utmost point of variable power supply copper-base as voltage basic point, the end of another utmost point is measurement point, measurement point traverse measurement arbitrarily in variable model measurement territory.
Preferably, described test platform border adopts organic glass and plasticine to make.
Preferably, described variable model measurement territory, on plexiglass base plate, can arrange arbitrarily making with plasticine.
Preferably, the bottom in described variable model measurement territory is further provided with coordinate paper.
A free boundary hydroelectric analoguesi-mulation method, flow process is as follows:
1) be familiar with free boundary hydroelectric analoguesi-mulation device, understand each component function;
2) make and need the electricity of simulation to intend border, check wiring, the AC power of conditioning signal generator;
3) by adjusting base leveling electricity, intend platform, pour the salt solution of concentration 2% into;
4) high-precision pressure gauge is adjusted to voltage measurement 200 mV gears, take and bear copper-base as reference voltage, measure potential point, and be depicted on square paper;
5) measure successively the magnitude of voltage of each point, and be marked on corresponding coordinate paper;
6) finally by tracing method, describe flow field;
7) change various flow fields and boundary condition, by said process, measure its Flow Field Distribution.
The invention has the beneficial effects as follows, can arrange arbitrarily source, flow field and complex boundary according to research object, any point in measurable flow field, thus can measure laminar flow under different boundary and source and course or the flow field of approximate laminar flow.When research object, to be that water surface area is compared with the depth of water extremely wide, and bottom surface is milder, and in the little situation of flow velocity, the water surface can regard that plane flows and flow velocity is very low approx as, and current gradient is very little, can ignore viscous effect.In research, this situation can be regarded as to ideal fluid plane acylic motion, can adopt hydroelectric analoguesi-mulation methods experiment to simulate this flow field.
Accompanying drawing explanation
Below in conjunction with drawings and Examples, the present invention is further described.
Fig. 1 is structural representation of the present invention.
In figure, variable power supply copper-base 1, support with adjustable 2, spirit bubble 3, high frequency ac signal source 4, variable model measurement territory 5, high-accuracy voltage table 6, voltage basic point 7, measurement point 8, variable resistor 9, test platform border 10.
Embodiment
As shown in Figure 1, a free boundary hydroelectric analoguesi-mulation device, comprises variable power supply copper-base 1, support with adjustable 2, spirit bubble 3, high frequency ac signal source 4, variable model measurement territory 5, high-accuracy voltage table 6, voltage basic point 7, measurement point 8, variable resistor 9, test platform border 10; Variable model measurement territory 5 is surrounded by test platform border 10, variable power supply copper-base 1 is connected with test platform border 10, described device is provided with a plurality of support with adjustables 2, a plurality of spirit bubbles 3, for regulating described installing to level, high frequency ac signal source 4 is connected with each variable power supply copper-base 1 by variable resistor 9, and ac power frequency suggestion is selected near 1500Hz.High-accuracy voltage 6 is connected to a utmost point of variable power supply copper-base 1 as voltage basic point 7, and the end of another utmost point is measurement point 8, measurement point 8 traverse measurement arbitrarily in variable model measurement territory 5.Variable power supply copper-base 1 is detachable, and quantity is variable, also can make irregular border in conjunction with plasticine.In variable model measurement territory 5, put the salt solution of 2% concentration as the conductive material of model area inside.
Preferably, described test platform border 10 adopts organic glass and plasticine to make.
Preferably, described variable model measurement territory 5, on plexiglass base plate, can arrange arbitrarily making with plasticine.
Preferably, the bottom in described variable model measurement territory 5 is further provided with coordinate paper, and border and the barrier of subjects can be set, coordinate that also can location survey point 8.
Measurement point position in variation model test domain 5, measures each point potential value, and is marked on corresponding coordinate paper.Finally by tracing method, describe flow field, show that flow field can analyze potentiometric map and the flow velocity figure in flow field.
A free boundary hydroelectric analoguesi-mulation method, flow process is as follows:
1) be familiar with free boundary hydroelectric analoguesi-mulation device, understand each component function;
2) make and need the electricity of simulation to intend border, check wiring, the AC power of conditioning signal generator;
3) by adjusting base leveling electricity, intend platform, pour the salt solution of concentration 2% into;
4) high-precision pressure gauge is adjusted to voltage measurement 200 mV gears, take and bear copper-base as reference voltage, measure potential point, and be depicted on square paper;
5) measure successively the magnitude of voltage of each point, and be marked on corresponding coordinate paper;
6) finally by tracing method, describe flow field;
7) change various flow fields and boundary condition, by said process, measure its Flow Field Distribution; Also can draw out electric field equipotential line by means such as Kriging interpolation, surfer software mapping softwares.
principle of the present invention is as follows:
1, ideal fluid plane irrotational flow flow field simulation
Current density component
with
with potential function
and current function
between mathematical function relationship and ideal plane irrotational flow velocity component
with
with potential function
and stream function
between the mathematical function relationship that exists consistent, with mathematical function, can become by Unified Expression
Wherein
be about
function, a, b are any non-zero real.
A) for
with
, according to Ohm law, have
Wherein
resistivity,
the depth of water.
B) for
with
And, the mathematical relation expression formula of current continuity and current flowing irrotationality, identical with the relation form of fluid continuity equation and mobile irrotationality in the plane force and velocity of a current,
Corresponding to
Therefore, electric field potential function in the equal resistivity conductive layer of uniform thickness
and current function
and ideal fluid plane irrotational flow potential function
and stream function
all meet Laplace's equation.Explanation can be with the compare flow field of ideal fluid plane acylic motion of electric field in the even resistivity conductive layer of uniform thickness.
When water surface area, compare extremely widely with the depth of water, bottom surface is milder, and in the little situation of flow velocity, the water surface regards that plane flows and flow velocity is very low approx as, and gradient is very little, can ignore viscous effect.This situation can be regarded as to ideal fluid plane acylic motion, adopt hydroelectric analoguesi-mulation to test to simulate.
, Simulation of Seepage Field
The experiment ultimate principle of hydroelectric analoguesi-mulation simulation seepage field is, exists similarity on mathematics and physically in the percolation phenomenon in the medium of space and conducting medium between current phenomena, and similarity relation is as shown in the table.
This contrive equipment, can adopt organic glass and copper coin to make, the parts such as electronic component, voltage table.Space and condition that the reserved user oneself in source, flow field reequips as required; In simulating boundary and test domain, can make arbitrary flow field border or flow field patterns with plasticine.Fluid carrier is made test platform with organic glass, in clear bottom, coordinate grid is set, to facilitate measuring point location.With movable copper coin as the variable power supply utmost point, also can be according to the position of research object flexible arrangement copper coin, length and intensity.Bearing regulates the adjustable seats adopting, and at three edges, establishes spirit bubble, is used for regulating test platform horizontality.Experiment is with salt solution as conductive material, and salt solution is the formed polar board surface impedance of polarization as the large source of error main of conductive material, for eliminating as best one can this impact, adopts high-frequency AC power.The DATA REASONING of measuring point adopts high-precision pressure gauge that can be mobile arbitrarily.Due to the changeability on Yuan He border, flow field, and the arbitrariness of measuring point, application function advantage is fairly obvious.
Claims (5)
1. a free boundary hydroelectric analoguesi-mulation device, it is characterized in that, comprise variable power supply copper-base (1), support with adjustable (2), spirit bubble (3), high frequency ac signal source (4), variable model measurement territory (5), high-accuracy voltage table (6), voltage basic point (7), measurement point (8), variable resistor (9), test platform border (10), variable model measurement territory (5) is surrounded by test platform border (10), variable power supply copper-base (1) is connected with test platform border (10), described device is provided with a plurality of support with adjustables (2), a plurality of spirit bubbles (3), for regulating described installing to level, high frequency ac signal source (4) is connected with each variable power supply copper-base (1) by variable resistor (9), high-accuracy voltage (6) is connected to a utmost point of variable power supply copper-base (1) as voltage basic point (7), the end of another utmost point is measurement point (8), measurement point (8) traverse measurement arbitrarily in variable model measurement territory (5).
2. device according to claim 1, is characterized in that, described test platform border (10) adopts organic glass and plasticine to make.
3. device according to claim 1, is characterized in that, described variable model measurement territory (5), on plexiglass base plate, can arrange arbitrarily making with plasticine.
4. device according to claim 1, is characterized in that, the bottom in described variable model measurement territory (5) is further provided with coordinate paper.
5. a free boundary hydroelectric analoguesi-mulation method, is characterized in that, flow process is as follows:
1) be familiar with free boundary hydroelectric analoguesi-mulation device, understand each component function;
2) make and need the electricity of simulation to intend border, check wiring, the AC power of conditioning signal generator;
3) by adjusting base leveling electricity, intend platform, pour the salt solution of concentration 2% into;
4) high-precision pressure gauge is adjusted to voltage measurement 200 mV gears, take and bear copper-base as reference voltage, measure potential point, and be depicted on square paper;
5) measure successively the magnitude of voltage of each point, and be marked on corresponding coordinate paper;
6) finally by tracing method, describe flow field;
7) change various flow fields and boundary condition, by said process, measure its Flow Field Distribution.
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201310576178.6A CN103606323A (en) | 2013-11-18 | 2013-11-18 | Free boundary electro-hydrodynamic analogue device and analogue method |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201310576178.6A CN103606323A (en) | 2013-11-18 | 2013-11-18 | Free boundary electro-hydrodynamic analogue device and analogue method |
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| CN103606323A true CN103606323A (en) | 2014-02-26 |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111312042A (en) * | 2020-03-26 | 2020-06-19 | 崔菡 | Ohm law electricity experimental equipment |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| EP0157964A1 (en) * | 1984-03-29 | 1985-10-16 | Nippon Furnace KOGYO KAISHA LTD. | Apparatus for visually displaying fluid density in fluid flow model |
| DE4344609A1 (en) * | 1993-12-24 | 1995-06-29 | Sachsenhydraulik Gmbh | Hydrostatic teaching device for fluid mechanics |
| CN203179398U (en) * | 2013-04-02 | 2013-09-04 | 河海大学 | Automatic-reading seepage electric simulation experiment instrument |
| CN203276679U (en) * | 2013-06-08 | 2013-11-06 | 湖南工业大学 | Stimulated electrostatic field plotter |
| CN203588528U (en) * | 2013-11-18 | 2014-05-07 | 浙江大学 | Free boundary hydroelectric analogue simulation device |
-
2013
- 2013-11-18 CN CN201310576178.6A patent/CN103606323A/en active Pending
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| EP0157964A1 (en) * | 1984-03-29 | 1985-10-16 | Nippon Furnace KOGYO KAISHA LTD. | Apparatus for visually displaying fluid density in fluid flow model |
| DE4344609A1 (en) * | 1993-12-24 | 1995-06-29 | Sachsenhydraulik Gmbh | Hydrostatic teaching device for fluid mechanics |
| CN203179398U (en) * | 2013-04-02 | 2013-09-04 | 河海大学 | Automatic-reading seepage electric simulation experiment instrument |
| CN203276679U (en) * | 2013-06-08 | 2013-11-06 | 湖南工业大学 | Stimulated electrostatic field plotter |
| CN203588528U (en) * | 2013-11-18 | 2014-05-07 | 浙江大学 | Free boundary hydroelectric analogue simulation device |
Non-Patent Citations (1)
| Title |
|---|
| 吴持恭: "《水力学 下》", 31 December 1983 * |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111312042A (en) * | 2020-03-26 | 2020-06-19 | 崔菡 | Ohm law electricity experimental equipment |
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Application publication date: 20140226 |