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CN107956710A - Vertical multi-stage impeller of pump Hydraulic Design Method based on interstage matched effect - Google Patents

Vertical multi-stage impeller of pump Hydraulic Design Method based on interstage matched effect Download PDF

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Publication number
CN107956710A
CN107956710A CN201711408185.XA CN201711408185A CN107956710A CN 107956710 A CN107956710 A CN 107956710A CN 201711408185 A CN201711408185 A CN 201711408185A CN 107956710 A CN107956710 A CN 107956710A
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mrow
pump
impeller
msub
mfrac
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CN107956710B (en
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刘凤兴
戚龙喜
王秀礼
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JIANGSU JIANGJIN PUMP INDUSTRY Co Ltd
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JIANGSU JIANGJIN PUMP INDUSTRY Co Ltd
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04DNON-POSITIVE-DISPLACEMENT PUMPS
    • F04D15/00Control, e.g. regulation, of pumps, pumping installations or systems
    • F04D15/0088Testing machines
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04DNON-POSITIVE-DISPLACEMENT PUMPS
    • F04D29/00Details, component parts, or accessories
    • F04D29/18Rotors
    • F04D29/22Rotors specially for centrifugal pumps
    • F04D29/2205Conventional flow pattern
    • F04D29/2216Shape, geometry
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/17Mechanical parametric or variational design
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Geometry (AREA)
  • Theoretical Computer Science (AREA)
  • General Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Evolutionary Computation (AREA)
  • Computer Hardware Design (AREA)
  • Mechanical Engineering (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Analysis (AREA)
  • Computational Mathematics (AREA)
  • Structures Of Non-Positive Displacement Pumps (AREA)

Abstract

The invention discloses the vertical multi-stage impeller of pump Hydraulic Design Method based on interstage matched effect, on the basis of multistage pump interstage matched effect is considered, with reference to external characteristics experiment and CFD technologies, using optimization algorithm and the maximum of weighted average power or the method for weighted average efficiency minimum value are calculated come the final optimum value for obtaining multi-level pump impeller inlet and outlet diameter and impeller outlet width.A kind of vertical multi-stage impeller of pump Hydraulic Design Method based on interstage matched effect proposed by the present invention, for the design method based on experience, sense datum is on the low side and theoretical foundation support is more reliable, a kind of brand-new idea and method is provided for the Hydraulic Design of multi-level pump impeller, to a certain extent can be with cost-effective.

Description

Vertical multi-stage impeller of pump Hydraulic Design Method based on interstage matched effect
Technical field
The present invention relates to pump hydraulic design method, more particularly to a kind of vertical multi-stage impeller of pump based on interstage matched effect Hydraulic Design Method.
Background technology
Multistage pump has more than two impellers in structure, compared to for traditional single-stage pump have higher lift, And its advanced structure is reasonable, service life is long and good reliability, there is the pump discharge of higher again compared with traditional pump in addition, Therefore it is widely used in a variety of industry production activities such as power plant boiler feedwater, petrochemical industry, mine drainage, is to realize height Imitate the important guarantee of production.But due to the property of itself, carry out the design of multistage pump, using with maintenance in terms of Suffer from stringenter technical requirements.
And in current multistage pump the Hydraulic Design, designer is often first designed and grinds to the hydraulic model of single-stage Study carefully, multistage pump the Hydraulic Design target is then realized by the identical hydraulic model of series multistage.But multistage pump internal flow For complicated Three-dimensional Flow, there are close matching effect, inflow condition at different levels and single-stage research for performance between level and level Assuming that difference is very big, therefore, when carrying out the Hydraulic Design to multistage pump, consider that the matching effect between multistage pump stage is very necessary 's.
The existing patent No. 201010151536.5, entitled " a kind of multi-impeller combination hydraulic design method of multistage centrifugal pump " Patent propose a kind of Multi-impeller combination Hydraulic Design Method, which refers to use in centrifugal multistage pump multiple centrifugal pump the Hydraulic Design The mode of more than three kinds impeller hydraulic models combination, by suitably being matched to hydraulic model and impeller number, it is possible to achieve change and Q-H curves are adjusted, are met the Q-H curves of required performance parameter, but do not relate to specifically join multi-level pump impeller Several the Hydraulic Designs.
The existing patent No. 201510674177.4, entitled " the high matched multistage centrifugal pump of the inside and outside edge streamline of blade The patent of Hydraulic Design Method " proposes a kind of Hydraulic Design Method to multistage centrifugal pump, the design method it is specific in Hold to determine the main geometric parameters of multistage centrifugal pump, by the inside and outside edge Streamline Design of changeover portion into concentric circles, to outer rim The changeover portion of streamline carries out same origin, angularly ray is divided equally, measures on corresponding outer rim molded line changeover portion each section respectively Each section of mean radius in arc length and outer rim streamline changeover portion, and calculate each section of arc length on outer rim streamline changeover portion and correspond to Cornerite, and using cornerite both wings transform methods design vane inside edge streamline, introduce mean deviation coefficient to calculate inner edge streamline The theoretical length of inducer and outlet section, it is final to draw multistage centrifugal pump blade axial plane figure, but do not relate to examining The Hydraulic Design is carried out to multi-level pump impeller on the basis of worry interstage matched effect.
For above-mentioned defect, the present inventor has invented a kind of " MODEL VERTICAL MULTISTAGE PUMP leaf based on interstage matched effect Take turns Hydraulic Design Method ", the Hydraulic Design is carried out to impeller of pump relevant parameter on the basis of multistage pump interstage matched effect is considered, Also tested by using external characteristics, iterative algorithm and CFD technologies obtain weighted average efficiency highest or the weighting under different operating modes The optimum value of the minimum vertical multi-stage impeller of pump inlet and outlet diameter of mean power and exit width.
The content of the invention
The object of the invention:At present, in multistage pump the Hydraulic Design, designer often first carries out the hydraulic model of single-stage Design and research, then realize multistage pump the Hydraulic Design target by the identical hydraulic model of series multistage.But multistage pump Internal flow is complicated Three-dimensional Flow, and there are close matching effect, inflow condition and list at different levels for performance between level and level The hypothesis difference of level research is very big, therefore, when carrying out the Hydraulic Design to multistage pump, considers that the matching effect between multistage pump stage is It is very necessary.It is an object of the invention on the basis of multistage pump interstage matched effect is considered, to the several of multi-level pump impeller What parameter carries out the Hydraulic Design, and tested by external characteristics, iterative algorithm and CFD technologies obtain the weighted average under different operating modes Efficiency highest or weighted average power it is minimum vertical multi-stage impeller of pump inlet and outlet diameter and exit width optimum value, Jin Erwei The Hydraulic Design Method of vertical multi-stage impeller of pump provides a kind of thinking so that the multi-level pump impeller of design more meets that hydraulic performance will Summation is more in line with practice.
To solve the above-mentioned problems, the present invention provides a kind of vertical multi-stage impeller of pump waterpower based on interstage matched effect Design method, the Hydraulic Design Method are tested, iteration is calculated on the basis of multistage pump interstage matched effect is considered by external characteristics Method and CFD technologies obtain weighted average efficiency highest under different operating modes or the minimum vertical multi-stage impeller of pump of weighted average power Import and export the optimum value of diameter and exit width.
To achieve the above objectives, the present invention adopts the following technical scheme that:
Using the vertical multi-level pump impeller import and export diameter D of iterative algorithm1、D2And blade exit width b2Number of iterations Learn model to be solved, solve vertical multi-stage impeller of pump import and export diameter D1、D2With blade exit width b2One group to match Disaggregation, then using CFD technologies obtain its weighted average efficiency highest or the minimum vertical multi-stage impeller of pump of weighted average power into, Outlet diameter D1、D2With blade exit width b2One group of optimum value.
It is comprised the following steps that:
(1) MODEL VERTICAL MULTISTAGE PUMP external characteristics testing stand is built, flow, lift, the work(of MODEL VERTICAL MULTISTAGE PUMP under measuring and design operating mode Rate and efficiency;
On the basis of interference between considering vertical multi-stage pump stage and interstage matched effect, vertical multi-level pump impeller geometric parameters Number carries out the Hydraulic Design;MODEL VERTICAL MULTISTAGE PUMP is processed, and the stream under MODEL VERTICAL MULTISTAGE PUMP design conditions is measured in outer features Testbed Amount, lift, power and efficiency.
(2) using CFD technologies to meeting that the interior flow field of one group of MODEL VERTICAL MULTISTAGE PUMP of external characteristics requirement carries out whole flow field number Value calculates, and obtains their weighted average efficiency highest or the minimum one group of impeller import and export diameter D of weighted average power1、D2 With blade exit width b2The one group of optimum value to match;
Using CFD technologies to meeting that one group of MODEL VERTICAL MULTISTAGE PUMP model of external characteristics requirement carries out whole flow field numerical simulation, when When the error of numerical simulation external characteristics result and result of the test is in allowed band, the group that comparative analysis is met the requirements is vertical more The flow field situation of change of each single-stage impeller of level pump, and study specific influence of the impeller internal flow regimes at different levels on external characteristics Size.
(3) using iterative algorithm to satisfactory vertical multi-stage impeller of pump import and export diameter D1、D2It is wide with blade exit Spend b2Iterative mathematical model is solved, and solves vertical multi-stage impeller of pump import and export diameter D1、D2With blade exit width b2Phase Matched disaggregation group, disaggregation group are one group of scope rather than some concrete numerical value;
Establish impeller inlet diameter quotient kD1's according to the flow Q of MODEL VERTICAL MULTISTAGE PUMP, lift H, rotating speed n and specific speed ns Solution relation:
Similarly, the letter of impeller outlet diameter D2 is established by the flow Q of MODEL VERTICAL MULTISTAGE PUMP, lift H, rotating speed n and specific speed ns Number solution relation:
Interference and the influence of interstage matched effect between the level of consideration multistage pump at this time,
Based on above functional relation, the mathematical model of impeller outlet width b2:
Wherein, influence of the multistage pump interstage matched effect to flowing, impeller outlet width are considered
(4) the weighted average efficiency value and weighted average power for each model of disaggregation group that iteration optimization obtains finally are calculated Value, finds out and optimal meets weighted average efficiency highest or the minimum corresponding vertical multi-stage impeller of pump of model of weighted average power Import and export diameter D1、D2With blade exit width b2The optimal solution to match.
The beneficial effects of the invention are as follows:
(1) on the basis of interstage matched effect is considered, vertical multistage centrifugal impeller of pump carries out the Hydraulic Design, by adding Weight average efficiency highest or weighted average power is minimum finds the design parameter of corresponding vertical multi-stage impeller of pump, compared to logical Normal consideration single-stage impeller progress the Hydraulic Design, then the vertical multi-stage impeller of pump obtained by way of series connection are more accurate;
(2) external characteristics is tested, CFD simulations and iterative algorithm are combined, and are carried for the Hydraulic Design of vertical multi-stage impeller of pump A kind of Hydraulic Design Method has been supplied, has saved financial cost to a certain extent.
Brief description of the drawings
The present invention is further described with reference to the accompanying drawings and detailed description.
Fig. 1 is the flow chart of the vertical multi-stage impeller of pump Hydraulic Design Method;
Fig. 2 is the water body three-dimensional modeling of MODEL VERTICAL MULTISTAGE PUMP first stage impeller in embodiment.
Specific implementation method
Below in conjunction with the accompanying drawings and specific embodiment the present invention is further illustrated, but protection scope of the present invention is simultaneously Not limited to this:
Embodiment:
The design discharge Q=4.8m3/h, rated lift H=8m, rotating speed n=for 4 grades of vertical pumps that one specific speed is 78 2800r/min。
(1) on the basis of interference between considering vertical multi-stage pump stage and interstage matched effect, vertical multi-level pump impeller is several What parameter carries out the Hydraulic Design, and builds MODEL VERTICAL MULTISTAGE PUMP external characteristics testing stand, the stream of MODEL VERTICAL MULTISTAGE PUMP under measuring and design operating mode Amount, lift, power and efficiency.
The impeller import and export diameter D being calculated using common Hydraulic Design Method1、D2And blade exit width b2 Value be 36.5mm, 102.5mm, 7mm respectively;The lift of MODEL VERTICAL MULTISTAGE PUMP, power and efficiency, obtain it under measuring and design operating mode Value is respectively:H1=7.382m, P1=300W (single-stage), η=71%.
Mathematical model based on the vertical multi-stage impeller of pump major parameter of interference and interstage matched effect between level is as follows:
When the error of numerical simulation external characteristics result and result of the test is in allowed band, and test and analog result phase When difference is smaller, corresponding impeller import and export diameter D1、D2And blade exit width b2One group it is matched value solution for 35mm, 104mm, 5mm, and corresponding lift, power and efficiency are respectively 7.4m, 298W (single-stage), 77.3%.
The performance number obtained after global optimization is less than the performance number before optimization, and efficiency value is more than the efficiency before optimization Value, then the MODEL VERTICAL MULTISTAGE PUMP Impeller Design parameter value obtained after optimizing is optimal solution.
External characteristics result of the test and flow field result are combined by present embodiment, using optimization algorithm, comprehensive each side Factor considers, the optimum value of impeller the Hydraulic Design parameter is finally calculated, is provided for the impeller the Hydraulic Design of MODEL VERTICAL MULTISTAGE PUMP A kind of new approaches and method, it is cost-effective to a certain extent.
The foregoing is only a preferred embodiment of the present invention, but protection scope of the present invention be not limited thereto, Any one skilled in the art the invention discloses technical scope in, technique according to the invention scheme and its Inventive concept is subject to equivalent substitution or change, should be covered by the protection scope of the present invention.

Claims (7)

  1. A kind of 1. vertical multi-stage impeller of pump Hydraulic Design Method based on interstage matched effect, it is characterised in that:The design method Realized by step in detail below:
    (1) build MODEL VERTICAL MULTISTAGE PUMP external characteristics testing stand, the flow of MODEL VERTICAL MULTISTAGE PUMP under measuring and design operating mode, lift, power and Efficiency;
    (2) whole flow field numerical computations are carried out to MODEL VERTICAL MULTISTAGE PUMP flow field under different operating modes using CFD technologies, obtains multistage centrifugal The weighted average of MODEL VERTICAL MULTISTAGE PUMP under the internal flow state of pump, and different operating modes;
    (3) if internal flow state and weighted average are unsatisfactory for requiring, using global optimization approach again vertical multistage The impeller import and export diameter D of pump1、D2With impeller outlet width b2Mathematical model solved, solve the leaf of MODEL VERTICAL MULTISTAGE PUMP Take turns import and export diameter D1、D2With impeller outlet width b2Pareto disaggregation;
    (4) global optimization is repeated, untill the internal flow state and weighted average of acquisition are met the requirements, is corresponded MODEL VERTICAL MULTISTAGE PUMP impeller import and export diameter D1、D2With impeller outlet width b2For Pareto optimal solutions.
  2. 2. the vertical multi-stage impeller of pump Hydraulic Design Method according to claim 1 based on interstage matched effect, its feature It is:In the step (1), MODEL VERTICAL MULTISTAGE PUMP external characteristics testing stand is built, the stream of MODEL VERTICAL MULTISTAGE PUMP under measuring and design operating mode Amount, lift, power and efficiency comprise the following steps that:
    (A) on the basis of interference between considering vertical multi-stage pump stage and interstage matched effect, vertical multi-level pump impeller geometric parameters Number carries out the Hydraulic Design;
    (B) the external characteristics testing stand of MODEL VERTICAL MULTISTAGE PUMP is built, and vertical multistage pump is processed;
    (C) whether the external characteristics that designed MODEL VERTICAL MULTISTAGE PUMP is tested in outer features Testbed meets the requirements.
  3. 3. the vertical multi-stage impeller of pump Hydraulic Design Method according to claim 1 based on interstage matched effect, its feature It is:In the step (2), the specific steps of whole flow field numerical computations are carried out to MODEL VERTICAL MULTISTAGE PUMP flow field under different operating modes It is as follows:
    (A) in the case where the external characteristics of one group of MODEL VERTICAL MULTISTAGE PUMP is met the requirements, meet that external characteristics will to the group using CFD technologies The model asked carries out whole flow field numerical simulation;
    (B) when the error of numerical simulation external characteristics result and result of the test is in allowed band, what comparative analysis was met the requirements The flow field situation of change of each single-stage impeller of this group of MODEL VERTICAL MULTISTAGE PUMP, and impeller internal flow regimes at different levels are studied to external characteristics The size specifically influenced;
    (C) efficiency value, performance number and the weighted average of the MODEL VERTICAL MULTISTAGE PUMP under different flow operating mode are calculated.
  4. 4. the vertical multi-stage impeller of pump Hydraulic Design Method according to claim 1 based on interstage matched effect, its feature It is:In the step (3), the impeller import and export diameter D of MODEL VERTICAL MULTISTAGE PUMP is solved1、D2With impeller outlet width b2's The specific method of Pareto solutions is as follows:
    (A) according to the flow Q of MODEL VERTICAL MULTISTAGE PUMP, lift H, rotating speed n and specific speed nsEstablish impeller inlet diameter quotient kD1Ask Solution relation:
    <mrow> <msub> <mi>k</mi> <msub> <mi>D</mi> <mn>1</mn> </msub> </msub> <mo>=</mo> <mfrac> <mrow> <mn>0.6158</mn> <msup> <mi>Q</mi> <mn>1.193</mn> </msup> </mrow> <mrow> <mn>1.061</mn> <msup> <mi>e</mi> <mrow> <mo>-</mo> <msup> <mrow> <mo>(</mo> <mfrac> <mrow> <mi>H</mi> <mo>-</mo> <mn>9.379</mn> </mrow> <mn>4.87</mn> </mfrac> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msup> </mrow> </mfrac> </mrow>
    <mrow> <msub> <mi>D</mi> <mn>1</mn> </msub> <mo>=</mo> <mfrac> <mrow> <mn>0.6158</mn> <msup> <mi>Q</mi> <mn>1.193</mn> </msup> </mrow> <mrow> <mn>1.061</mn> <msup> <mi>e</mi> <mrow> <mo>-</mo> <msup> <mrow> <mo>(</mo> <mfrac> <mrow> <mi>H</mi> <mo>-</mo> <mn>9.379</mn> </mrow> <mn>4.87</mn> </mfrac> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msup> </mrow> </mfrac> <mroot> <mfrac> <mi>Q</mi> <mi>n</mi> </mfrac> <mn>3</mn> </mroot> </mrow>
    Similarly, by the flow Q of MODEL VERTICAL MULTISTAGE PUMP, lift H, rotating speed n and specific speed nsEstablish impeller outlet diameter D2Function solve Relation:
    <mrow> <msub> <mi>D</mi> <mn>2</mn> </msub> <mo>=</mo> <mfrac> <msub> <mi>k</mi> <mi>D</mi> </msub> <mrow> <mo>-</mo> <mn>0.003748</mn> <mi>H</mi> <mo>+</mo> <mn>1.025</mn> </mrow> </mfrac> <mroot> <mfrac> <mi>Q</mi> <mi>n</mi> </mfrac> <mn>3</mn> </mroot> </mrow>
    Wherein Interference and the influence of interstage matched effect between the level of consideration multistage pump at this time,
    Based on above functional relation, impeller outlet width b2Mathematical model:
    <mrow> <msub> <mi>b</mi> <mn>2</mn> </msub> <mo>=</mo> <mfrac> <mrow> <mn>0.003333</mn> <msup> <msub> <mi>n</mi> <mi>s</mi> </msub> <mn>2</mn> </msup> <mo>+</mo> <mn>0.2622</mn> <msub> <mi>n</mi> <mi>s</mi> </msub> <mo>-</mo> <mn>0.3638</mn> </mrow> <mrow> <msub> <mi>n</mi> <mi>s</mi> </msub> <mo>-</mo> <mn>1.332</mn> </mrow> </mfrac> <msub> <mi>k</mi> <msub> <mi>b</mi> <mn>2</mn> </msub> </msub> <mroot> <mfrac> <mi>Q</mi> <mi>n</mi> </mfrac> <mn>3</mn> </mroot> </mrow>
    Wherein, influence of the multistage pump interstage matched effect to flowing, impeller outlet width are considered
    (B) the internal flow state of model and weighted average as obtained meet the area requirement specified, then corresponding vertical The impeller import and export diameter D of formula multistage pump1、D2With impeller outlet width b2For Pareto optimal solutions;
    Internal flow state and weighted average such as the model of acquisition are unsatisfactory for the area requirement specified, then repeat global excellent Change, the impeller import and export diameter D until finally obtaining the MODEL VERTICAL MULTISTAGE PUMP met the requirements1、D2With impeller outlet width b2For Untill Pareto optimal solutions.
  5. 5. vertical multi-stage impeller of pump Hydraulic Design Method according to claim 1, it is characterised in that:The weighted average It is weighting efficiency average value or weighted power average value.
  6. 6. vertical multi-stage impeller of pump Hydraulic Design Method according to claim 1, it is characterised in that:The global optimization is calculated Method is genetic algorithm or particle cluster algorithm.
  7. 7. the vertical multi-stage impeller of pump Hydraulic Design Method according to claim 1 or 4, it is characterised in that:The weighting is flat The area requirement that average meets to specify refers to:The weighted average efficiency value of calculating is higher than the weighted average efficiency value before optimization, or Weighted average performance number is less than the weighted average performance number before optimization.
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CN109446576A (en) * 2018-09-27 2019-03-08 西华大学 Iterative calculation method for geometric parameters of centrifugal impeller with saturated power characteristics
CN111734649A (en) * 2020-06-19 2020-10-02 上海电气凯士比核电泵阀有限公司 Test method and test equipment for hydraulic model combination of rotary power pump
CN112594064A (en) * 2020-11-25 2021-04-02 北京航空航天大学 S2 flow field diagnosis method based on interstage measurement parameters of axial flow compressor
CN113885310A (en) * 2020-07-01 2022-01-04 东北大学 Intelligent control system for vacuum dry pump test

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CN109446576A (en) * 2018-09-27 2019-03-08 西华大学 Iterative calculation method for geometric parameters of centrifugal impeller with saturated power characteristics
CN111734649A (en) * 2020-06-19 2020-10-02 上海电气凯士比核电泵阀有限公司 Test method and test equipment for hydraulic model combination of rotary power pump
CN111734649B (en) * 2020-06-19 2021-08-27 上海电气凯士比核电泵阀有限公司 Test method and test equipment for hydraulic model combination of rotary power pump
CN113885310A (en) * 2020-07-01 2022-01-04 东北大学 Intelligent control system for vacuum dry pump test
CN113885310B (en) * 2020-07-01 2023-03-28 东北大学 Intelligent control system for vacuum dry pump test
CN112594064A (en) * 2020-11-25 2021-04-02 北京航空航天大学 S2 flow field diagnosis method based on interstage measurement parameters of axial flow compressor

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