CN104675713B - A kind of centrifugal pump No-mistake Principle method for designing based on data sample - Google Patents

Abstract

The invention discloses a kind of centrifugal pump No-mistake Principle method for designing based on data sample, the first design conditions to centrifugal pump to carry out specific revolution and solve, calculate the initial value of impeller geometric parameter according to specific revolution；Then choose according to design experiences and low specific speed centrifugal pump power is affected bigger parameter and uses optimization Latin hypercube to carry out M group EXPERIMENTAL DESIGN；Then use Solidworks software that impeller carries out three-dimensional modeling, use ICEM software centrifugal pump model carries out unstrctured grid division and uses CFX software that M prescription case carries out numerical simulation, calculate centrifugal pump power under 1.4 times of design discharges；Last is response value using impeller main geometric parameters as input value, pump power, sets up data sample, uses second-order response surface approximate model to set up the mathematical model between input value and response value, in conjunction with particle cluster algorithm, mathematical model is carried out extreme value optimizing.The present invention can complete the design to centrifugal pump No-mistake Principle characteristic within the shorter design cycle, reduces design cost.

Description

A kind of centrifugal pump No-mistake Principle method for designing based on data sample

Technical field

The present invention relates to Centrifugal Pump Design field, refer more particularly to a kind of low specific speed centrifugal pump No-mistake Principle method for designing.

Background technology

Low specific speed centrifugal pump is widely used in many national economy fields such as irrigation and drainage, urban water supply, Aero-Space.Low specific speed Centrifugal pump refers generally to the centrifugal pump that specific revolution is 30～80, and pump operation stability in systems is poor, runs at big flow rate working conditions Time be susceptible to transship phenomenon so that shorten pump service life, cause economic loss time serious.

Centrifugal pump No-mistake Principle characteristic is always one of long-term study hotspot of pump field.Patent No. 200410014937.0 carries Go out a kind of rate revolution centrifugal pump impeller method for designing, by the geometric parameter of contact impeller and design conditions performance parameter and set up New relationship, this depends on the statistical data of substantial amounts of low-specific speed impeller, has and refer to meaning, but passes through to be somebody's turn to do Method is designed, and needs abundant the Hydraulic Design experience just can complete.

Existing low specific speed centrifugal pump be mainly designed to rely on design experiences, and use Numeric simulation design method.At present The most do not use modern optimization method for designing to the method improving centrifugal pump No-mistake Principle characteristic.

Summary of the invention

For solving above-mentioned technical problem, the present invention provides a kind of centrifugal pump No-mistake Principle method for designing based on data sample, and it uses Technical scheme as follows:

A kind of centrifugal pump No-mistake Principle method for designing based on data sample, comprises the steps:

Step one: according to design discharge Q, rated lift H and the design speed n of centrifugal pump, obtain low specific speed centrifugal pump Specific revolution n_s；

Step 2: use centrifugal pump traditional design method to determine the impeller inlet diameter D of centrifugal pump impeller_j, impeller outlet diameter D₂, Blade exit width b₂, vane inlet lays angle beta₁, blade exit lays angle beta₂, subtended angle of blade

Step 3: choose and the low specific speed centrifugal pump power bigger blade exit of impact is laid angle beta₂, subtended angle of bladeLeaf Sheet exit width b₂, use and optimize Latin hypercube experimental design method, three parameter beta to described blade₂、And b₂Carry out M Group conceptual design, wherein M is integer；

Step 4: use Solidworks software that three parameters of each group of impeller in M group conceptual design in step 3 are carried out Three-dimensional modeling, saves as * .stp file, * .stp file is imported to ICEM software and carries out unstrctured grid division, and grid is * .cfx5 file, imports to * .cfx5 to be designed in CFX the steady numerical simulation of operating mode and calculates and obtain low specific speed and be centrifuged Pump power under 1.4 times of design conditions, obtains M group performance number, and wherein M is integer；

Step 5: lay angle beta often organizing the blade exit of impeller₂, subtended angle of bladeBlade exit width b₂As input value, Pump power P under 1.4 times of design conditions_1.4QFor response value, set up data sample, use second-order response surface model to set up response Approximate model between value and impeller geometric parameter；

Wherein x₁、x₂……x₉、x₁₀For calculated coefficient；And use the minima of particle swarm optimization algorithm response surface model, Thus the blade exit obtaining each group of impeller lays angle beta₂, subtended angle of bladeBlade exit width b₂Optimum combination；

Step 6: the blade exit of each group of impeller is laid angle beta₂, subtended angle of bladeBlade exit width b₂Optimum combination Carrying out three-dimensional modeling, and use identical CFX setting to carry out numerical simulation, it is judged that can reaching to design requirement, if reaching design Requirement, then designed, if not reaching to design requirement, then returns step 3, reselects one group of parameter.

In such scheme, specific revolution n of low specific speed centrifugal pump_sComputing formula be:

$n_s=\frac{3.65n\sqrt{Q}}{H^{0.75}}$

In formula: n is rotating speed, unit r/min；Q is flow, unit m³/h；H is lift, unit m.

The invention has the beneficial effects as follows: the design requirement to centrifugal pump No-mistake Principle characteristic can be completed within the shorter design cycle, with Time can reduce design cost.

Accompanying drawing explanation

Fig. 1 is the flow chart of a kind of centrifugal pump No-mistake Principle method for designing based on data sample.

Fig. 2 is three moulding schematic diagrams of design No-mistake Principle impeller.

Detailed description of the invention

Below in conjunction with the accompanying drawings and specific embodiment the present invention is further illustrated, but protection scope of the present invention is not limited to This.

It is an object of the invention to provide a kind of centrifugal pump No-mistake Principle method for designing based on data sample, optimize Latin by set Low specific speed centrifugal pump is designed by hypercube EXPERIMENTAL DESIGN, numerical simulation, second-order response surface model and particle swarm optimization algorithm, Thus obtain the centrifugal pump impeller geometric parameter combination of a group of centrifugal pump No-mistake Principle characteristic optimum, shorten the design of centrifugal pump No-mistake Principle Cycle.Fig. 1 is the invention thinking of the present invention, and the present invention improves low specific speed centrifugal pump No-mistake Principle method for designing mainly: first, The design conditions of centrifugal pump are carried out specific revolution solve, calculate the initial of impeller and spiral case geometric parameter according to specific revolution；Second, Choosing according to design experiences uses optimization Latin hypercube to carry out 20 groups of examinations the parameter that the impact of low specific speed centrifugal pump power is bigger Test design；3rd, use Solidworks software that impeller carries out three-dimensional modeling, use ICEM software that model is carried out grid Divide and use CFX that scheme carries out numerical simulation, calculating centrifugal pump power under 1.4 times of design discharges；4th, with leaf Wheel main geometric parameters is response value as input value, pump power, sets up data sample, uses second-order response surface approximate model to build Vertical mathematical model between input value and response value, carries out extreme value optimizing in conjunction with particle cluster algorithm to mathematical model.

Herein as a example by low specific speed centrifugal pump No-mistake Principle designs.Design parameter is particularly as follows: specifically comprise the following steps that

According to centrifugal pump design conditions Q=6.3m³/ h, H=8m, rotating speed n=1450r/min；

$n_s=\frac{3.65n\sqrt{Q}}{H^{0.75}}$

In formula: n is rotating speed, unit r/min；Q is flow, single m³/h；H is lift, unit m；Specific revolution ns=46.5.

According to " modern times-pump theory and design ", low specific speed centrifugal pump is designed, obtained the initial geometric parameters of impeller Number, impeller inlet diameter D as follows_j=50mm, impeller outlet diameter D₂=160mm, blade exit width b₂= 6mm, vane inlet lays angle beta₁=24 °, blade exit lays angle beta₂=30 °, subtended angle of bladeAccording to design warp Test, choose blade exit and lay angle beta₂, subtended angle of bladeNumber of blade z, blade exit width b₂For affecting the main of pump power Several parameters.Use optimization Latin hypercube to carry out 20 groups of EXPERIMENTAL DESIGN, obtain following data set.

Use Solidworks software that every 20 groups of impellers are carried out three-dimensional modeling, save as * .stp file, by * .stp literary composition Part imports to ICEM software and carries out unstrctured grid division, and grid is * .cfx5 file, imports to * .cfx5 carry out in CFX The steady numerical simulation of design conditions calculates and obtains pump power under 1.4 times of design conditions；Performance number is as shown in the table:

Angle beta is laid with impeller main geometric parameters blade exit₂, subtended angle of bladeWith sheet exit width b₂As input value, pump exists Power under 1.4 times of design conditions is response value, sets up data sample, uses second-order response surface model to set up response value with the most several Approximate model between what parameter；

Wherein x₁、x₂……x₉、x₁₀For calculated coefficient；And use the minima of particle swarm optimization algorithm response surface model, Finally give the optimum combination of impeller parameters: blade exit width b₂=5mm, blade exit lays angle beta₂=29.7 °, leaf packet Angle

It is as shown in the table for the parameter that impeller initial parameter and employing optimized algorithm obtain, and under 1.4 times of design conditions, power is declined by 247W To 232W.Final rate revolution centrifugal pump impeller is as shown in Figure 2.

Claims (2)

1. a centrifugal pump No-mistake Principle method for designing based on data sample, comprises the steps:

Step one: according to design discharge Q, rated lift H and the design speed n of centrifugal pump, obtain low specific speed centrifugal pump Specific revolution n_s；

Step 2: use centrifugal pump traditional design method to determine the impeller inlet diameter D of centrifugal pump impeller_j, impeller outlet diameter D₂,

Blade exit width b₂, vane inlet lays angle beta₁, blade exit lays angle beta₂, subtended angle of blade

Step 3: choose and the low specific speed centrifugal pump power bigger blade exit of impact is laid angle beta₂, subtended angle of bladeBlade Exit width b₂, use and optimize Latin hypercube experimental design method, three parameter beta to described blade₂、And b₂ Carrying out M group conceptual design, wherein M is integer；

Step 4: use Solidworks software that three parameters of each group of impeller in M group conceptual design in step 3 are entered Row three-dimensional modeling, saves as * .stp file, * .stp file is imported to ICEM software and carries out unstrctured grid division, and grid is * .cfx5 file, imports to * .cfx5 to be designed in CFX the steady numerical simulation of operating mode and calculates and obtain low specific speed and be centrifuged Pump power under 1.4 times of design conditions, obtains M group performance number, and wherein M is integer；

Step 5: lay angle beta often organizing the blade exit of impeller₂, subtended angle of bladeBlade exit width b₂As input value, Pump power P under 1.4 times of design conditions_1.4QFor response value, set up data sample, use second-order response surface model to set up response Approximate model between value and impeller geometric parameter；

Wherein x₁、x₂……x₉、x₁₀For calculated coefficient；And use particle swarm optimization algorithm response surface model Little value, thus the blade exit obtaining each group of impeller lays angle beta₂, subtended angle of bladeBlade exit width b₂Optimal set Close；

Step 6: the blade exit of each group of impeller is laid angle beta₂, subtended angle of bladeBlade exit width b₂Optimal set Can conjunction carries out three-dimensional modeling, and uses identical CFX setting to carry out numerical simulation, it is judged that reach to design requirement, if reaching Design requirement, then designed, if not reaching to design requirement, then returns step 3, reselects blade exit and lay angle beta₂、 Subtended angle of bladeBlade exit width b₂One group of parameter.

A kind of centrifugal pump No-mistake Principle method for designing based on data sample the most according to claim 1, it is characterised in that low ratio Specific revolution n of revolution centrifugal pump_sComputing formula be:

$n_s=\frac{3.65n\sqrt{Q}}{H^{0.75}}$

In formula: n is rotating speed, unit r/min；Q is flow, unit m³/h；H is lift, unit m.