CN107299904A - It is a kind of to be used to describe the mathematical modeling that centrifugal pump rotates forward reverse current braking operating mode external characteristics - Google Patents
It is a kind of to be used to describe the mathematical modeling that centrifugal pump rotates forward reverse current braking operating mode external characteristics Download PDFInfo
- Publication number
- CN107299904A CN107299904A CN201611114118.2A CN201611114118A CN107299904A CN 107299904 A CN107299904 A CN 107299904A CN 201611114118 A CN201611114118 A CN 201611114118A CN 107299904 A CN107299904 A CN 107299904A
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- China
- Prior art keywords
- centrifugal pump
- mathematical modeling
- operating mode
- reverse current
- current braking
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- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
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Classifications
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04D—NON-POSITIVE-DISPLACEMENT PUMPS
- F04D1/00—Radial-flow pumps, e.g. centrifugal pumps; Helico-centrifugal pumps
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04D—NON-POSITIVE-DISPLACEMENT PUMPS
- F04D15/00—Control, e.g. regulation, of pumps, pumping installations or systems
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04D—NON-POSITIVE-DISPLACEMENT PUMPS
- F04D15/00—Control, e.g. regulation, of pumps, pumping installations or systems
- F04D15/0088—Testing machines
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- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- General Engineering & Computer Science (AREA)
- Structures Of Non-Positive Displacement Pumps (AREA)
- Control Of Positive-Displacement Pumps (AREA)
Abstract
It is used to describe the mathematical modeling that centrifugal pump rotates forward reverse current braking operating mode external characteristics the present invention relates to a kind of.In addition to normal pump operating condition, a kind of important operating mode that reverse current braking operating mode is also centrifugal pump is rotated forward, under accident or some specific use environments, reverse current braking operating mode is rotated forward and happens occasionally.In order to be that research and development of products and engineer applied provide more theoretical foundations, the present invention combines hydrodynamics and mathematical principle, it is proposed that a kind of to be used to describe the mathematical modeling that centrifugal pump rotates forward reverse current braking operating mode.The technical problem to be solved in the present invention is to provide a kind of excellent mathematical modeling, for describing external characteristics of the centrifugal pump in the case where rotating forward reverse current braking operating mode, application and exploitation design for centrifugal pump provide theoretical foundation.The present invention is according to great number tested data, with reference to hydrodynamics and mathematical principle, has obtained a kind of satisfaction research, the mathematical modeling of engine request, through multiple practice test, the description that the mathematical modeling rotates forward reverse current braking operating mode external characteristics to centrifugal pump is more accurately.
Description
Technical field
It is more particularly to a kind of to be used to describe centrifugation the present invention relates to a kind of mathematical modeling for being used to describe centrifugal pump external characteristics
Pump rotates forward the mathematical modeling of reverse current braking operating mode external characteristics.
Background technology
Centrifugal pump is a kind of common universal machine, is widely used among industry, agricultural and municipal works, application scenario
More, in addition to the normal pump operating condition frequently used, the rotating forward reverse current braking operating mode of centrifugal pump is also a kind of important operating mode,
Under accident or some specific use environments, rotate forward reverse current braking operating mode and happen occasionally.Centrifugal pump is rotated forward in current industry inverse
Research in terms of stream damped condition external characteristics mathematical modeling is less.In order to for engineer applied and product provide it is more it is theoretical according to
According to the present invention combines hydrodynamics and mathematical principle, it is proposed that a kind of to be used to describe the number that centrifugal pump rotates forward reverse current braking operating mode
Learn model.
The content of the invention
The technical problems to be solved by the invention are to provide a kind of excellent mathematical modeling, for describing centrifugal pump in rotating forward
External characteristics under reverse current braking operating mode, theoretical foundation is provided for meeting the tendency of for centrifugal pump with exploitation design.The present inventor is according to a large amount of
Test data, with reference to hydrodynamics and mathematical principle, has obtained a kind of satisfaction research, the mathematical modeling of engine request, through multiple
Practice test, the description that the mathematical modeling rotates forward reverse current braking operating mode external characteristics to centrifugal pump is more accurately.
The technical solution adopted in the present invention is：
(1) it is a kind of to be used to describe the mathematical modeling that centrifugal pump rotates forward reverse current braking operating mode external characteristics, it is characterised in that to pass through
Centrifugal pump full mold pump testing obtains a large amount of accurately test datas, and the unknowm coefficient obtained according to test data in mathematical modeling enters
And a definite mathematical modeling is obtained, definite mathematical modeling can rotate forward reverse current braking operating mode with the accurate description centrifugal pump
Under external characteristics and can accurately beyond prediction experiment scope at operating point external characteristics, mathematical modeling proposed by the present invention
For：
(1)
In formula：
A, b, c, d, f, g, p, k, l, n, r, s --- mathematical modeling coefficient；
Q --- flow, cube m/h；
QN--- the metered flow of mixed-flow pump, cube m/h；
H --- lift, rice；
HN--- the rated head of mixed-flow pump, rice；
M --- moment of torsion, ox rice；
MN--- the nominal torque of mixed-flow pump, ox rice；
The flow of q --- zero dimension, equal to Q/QN, dimensionless；
Y --- h is represented describing y when lift H changes with flow Q, y represents m, nothing when describing moment of torsion M and changing with flow Q
Dimension；
The lift of h --- zero dimension, equal to H/HN, dimensionless；
The moment of torsion of m --- zero dimension, equal to M/MN, dimensionless；
The test data for rotating forward reverse current braking operating mode is substituted into formula (1) can obtain the definite number of all mathematical modeling coefficients
Value：
Working condition tests data substitution design factor will be rotated forward as follows ---
(2)
Y in formula1, y2... ..., y13, q1, q2... ..., q13For 13 groups of test data values, a is obtainedi、bi、ci、di、fi、gi、
pi、ki、li、ti、ni、ri、siThe exact numerical values recited of (wherein i=1,2,3) is that can obtain describing centrifugal pump rotating forward reverse current braking work
The determination equation of condition external characteristics.
(2) centrifugation pump specific angular speed n used in centrifugal pump full mold pump testingsBetween 10 to 300, centrifugal pump during experiment
It is set to rotate forward, forces fluid to flow into and flowed out from entrance from outlet of centrifugal pump using supercharging device.
(3) in order to ensure test data is reported as precisely as possible, while in order to there is enough test datas to solve in mathematical modeling
Unknowm coefficient, experiment need according to it is following some operation：
After each Adjustment Tests flows of a, need guarantee test system run under the flow and carry out data again after 30s and adopt
Collection；
The adjacent flow intervals tested twice of b are uniform, and the flow value of all testing sites should be in arithmetic progression；
C should be tested under at least 26 different flows, obtain at least 26 groups test datas, therefrom Select Error compared with
The coefficient that 13 groups of small data are used in computational mathematics model.
According to above-mentioned steps, a kind of mathematical modulo for being used to describe centrifugal pump rotating forward reverse current braking operating mode external characteristics can be obtained
Type, the model is, according to great number tested data, to be set up with reference to hydrodynamics and mathematical principle, and the unknowm coefficient in model can be with
The True Data fitting obtained using experiment is tried to achieve, and this all make it that the mathematical modeling precision finally determined is higher.The present invention is filled up
It there is no description centrifugal pump to rotate forward the blank of reverse current braking operating mode external characteristics mathematical modeling at present, be further to use mathematical tool
Study centrifugal pump and rotate forward reverse current braking operating mode there is provided important necessary condition.
Brief description of the drawings
The present invention is further described with reference to the accompanying drawings and detailed description.
Fig. 1 is that centrifugal pump is tried using a kind of mathematical modeling for being used to describe centrifugal pump rotating forward reverse current braking operating mode external characteristics
Test schematic diagram when data are fitted.
Embodiment
The present invention combines Figure of description and embodiment, and the embodiment to the present invention is described in further detail：
1st, the present invention proposes a kind of mathematical modeling for being used to describe centrifugal pump rotating forward reverse current braking operating mode external characteristics：
A, b, c, d, f, g, p, k, l, t, n, r, s etc. are unknowm coefficient in formula, and q represents the flow of zero dimension, when making
Describe to rotate forward y when reverse current braking operating mode lift H changes with flow Q with mathematical modeling and represent the lift h of zero dimension, when using number
Learn model description and rotate forward the axle moment of torsion m that y when reverse current braking operating mode lower axle moment of torsion M changes with flow Q represents zero dimension, wherein, q
The best efficiency point correspondence flow Q under normal pump operating condition for actual flow Q divided by experiment centrifugal pump usedNBusiness, h is actual
Lift H divided by experiment centrifugal pump used the best efficiency point correspondence lift H under normal pump operating conditionNBusiness, m is actual axle torque
M divided by experiment centrifugal pump used the best efficiency point respective shaft moment of torsion M under normal pump operating conditionNBusiness, reverse current braking will be rotated forward
The test data of operating mode, which is substituted into, above-mentioned various can obtain the exact numerical values recited of all mathematical modeling coefficients：
Working condition tests data substitution design factor will be rotated forward as follows ---
Y in formula1, y2... ..., y13, q1, q2... ..., q13For 13 groups of test data values, a is obtainedi、bi、ci、di、fi、gi、
pi、ki、li、ti、ni、ri、siThe exact numerical values recited of (wherein i=1,2,3) is that can obtain describing centrifugal pump rotating forward reverse current braking work
The determination equation of condition external characteristics.
2nd, centrifugation pump specific angular speed n used in centrifugal pump full mold pump testingsBetween 10 to 300, centrifugal pump during experiment
It is set to rotate forward, forces fluid to flow into and flowed out from entrance from outlet of centrifugal pump using supercharging device.
3rd, in order to ensure test data is reported as precisely as possible, while in order to there is enough test datas to solve in mathematical modeling
Unknowm coefficient, experiment need be according to some following operation：
After each Adjustment Tests flows of a, need guarantee test system run under the flow and carry out data again after 30s and adopt
Collection；
The adjacent flow intervals tested twice of b are uniform, and the flow value of all testing sites should be in arithmetic progression；
C should be tested under at least 26 different flows, obtain at least 26 groups test datas, therefrom Select Error compared with
The coefficient that 13 groups of small data are used in computational mathematics model.
A definite mathematical modeling can be obtained by above-mentioned steps, can be rotated forward with centrifugal pump in accurate description embodiment inverse
Flow the external characteristics under damped condition.
It is described above, only it is one embodiment of the present of invention, any limit not is made to the technical scope of the present invention
System, the invention according to the present invention requires any modification, equivalent variations and the modification made to above-described embodiment, still falls within this hair
The scope of bright technical scheme.
Claims (3)
1. a kind of be used to describe the mathematical modeling that centrifugal pump rotates forward reverse current braking operating mode external characteristics, it is characterised in that passes through centrifugation
Pump full mold pump testing obtains a large amount of accurately test datas, obtains the unknowm coefficient in mathematical modeling according to test data and then obtains
To a definite mathematical modeling, the definite mathematical modeling of gained can rotate forward reverse current braking operating mode with the accurate description centrifugal pump
Under external characteristics and can accurately beyond prediction experiment scope at operating point external characteristics, mathematical modeling proposed by the present invention
For：
In formula：
A, b, c, d, f, g, p, k, l, n, r, s --- mathematical modeling coefficient；
Q --- flow, cube m/h；
QN--- the metered flow of mixed-flow pump, cube m/h；
H --- lift, rice；
HN--- the rated head of mixed-flow pump, rice；
M --- moment of torsion, ox rice；
MN--- the nominal torque of mixed-flow pump, ox rice；
The flow of q --- zero dimension, equal to Q/QN, dimensionless；
Y --- h is represented describing y when lift H changes with flow Q, y represents m when describing moment of torsion M and changing with flow Q, immeasurable
Guiding principle；
The lift of h --- zero dimension, equal to H/HN, dimensionless；
The moment of torsion of m --- zero dimension, equal to M/MN, dimensionless；
The test data for rotating forward reverse current braking operating mode is substituted into above formula can obtain the exact numerical values recited of all mathematical modeling coefficients：
Working condition tests data substitution design factor will be rotated forward as follows ---
Y in formula1, y2... ..., y13, q1, q2... ..., q13For 13 groups of test data values, a is obtainedi、bi、ci、di、fi、gi、pi、ki、
li、ti、ni、ri、siThe exact numerical values recited of (wherein i=1,2,3) is that can obtain describing the outer spy of centrifugal pump rotating forward reverse current braking operating mode
The determination equation of property.
2. a kind of mathematical modeling for being used to describe centrifugal pump rotating forward reverse current braking operating mode external characteristics according to claim 1,
Characterized in that, centrifugation pump specific angular speed n used in centrifugal pump full mold pump testingsBetween 10 to 300, centrifugal pump during experiment
It is set to rotate forward, forces fluid to flow into and flowed out from entrance from outlet of centrifugal pump using supercharging device.
3. a kind of mathematical modeling for being used to describe centrifugal pump rotating forward reverse current braking operating mode external characteristics according to claim 1,
Characterized in that, in order to ensure test data is reported as precisely as possible, while in order to there is enough test datas to solve in mathematical modeling
Unknowm coefficient, experiment need according to it is following some operation：
(1) every time after Adjustment Tests flows, need guarantee test system run under the flow and carry out data again after 30s and adopt
Collection；
(2) the adjacent flow intervals tested twice are uniform, and the flow value of all testing sites should be in arithmetic progression；
(3) it should be tested under at least 26 different flows, obtain at least 26 groups test datas, therefrom Select Error is smaller
13 groups of data be used for computational mathematics model in coefficient.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201611114118.2A CN107299904A (en) | 2016-12-07 | 2016-12-07 | It is a kind of to be used to describe the mathematical modeling that centrifugal pump rotates forward reverse current braking operating mode external characteristics |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201611114118.2A CN107299904A (en) | 2016-12-07 | 2016-12-07 | It is a kind of to be used to describe the mathematical modeling that centrifugal pump rotates forward reverse current braking operating mode external characteristics |
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| Publication Number | Publication Date |
|---|---|
| CN107299904A true CN107299904A (en) | 2017-10-27 |
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|---|---|---|---|
| CN201611114118.2A Pending CN107299904A (en) | 2016-12-07 | 2016-12-07 | It is a kind of to be used to describe the mathematical modeling that centrifugal pump rotates forward reverse current braking operating mode external characteristics |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109033527A (en) * | 2018-06-28 | 2018-12-18 | 江苏国泉泵业制造有限公司 | A kind of mathematical model rotating forward reverse current braking operating condition external characteristics for describing centrifugal pump |
| CN114667395A (en) * | 2019-12-31 | 2022-06-24 | 哈里伯顿能源服务公司 | Predicting brake horsepower for a viscous application pump |
-
2016
- 2016-12-07 CN CN201611114118.2A patent/CN107299904A/en active Pending
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109033527A (en) * | 2018-06-28 | 2018-12-18 | 江苏国泉泵业制造有限公司 | A kind of mathematical model rotating forward reverse current braking operating condition external characteristics for describing centrifugal pump |
| CN109033527B (en) * | 2018-06-28 | 2023-02-10 | 江苏国泉泵业制造有限公司 | Mathematical model for describing external characteristics of centrifugal pump |
| CN114667395A (en) * | 2019-12-31 | 2022-06-24 | 哈里伯顿能源服务公司 | Predicting brake horsepower for a viscous application pump |
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Application publication date: 20171027 |
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