CN112580238A - Centrifugal pump efficiency value prediction method based on simulation result correction - Google Patents
Centrifugal pump efficiency value prediction method based on simulation result correction Download PDFInfo
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Abstract
The invention provides a method for predicting efficiency values of centrifugal pumps based on simulation result correction, which comprises the steps of obtaining original pump efficiency experimental test values and computer simulation values of the centrifugal pumps corresponding to different flow points, fitting a flow-efficiency experimental test value functional relation and a flow-efficiency computer simulation value functional relation of the original pump of the centrifugal pumps, performing primary correction, secondary correction and tertiary correction on the original pump flow-efficiency computer simulation value functional relation of the centrifugal pumps, fitting a new pump flow-efficiency computer simulation value functional relation of the centrifugal pumps, correcting the new pump flow-efficiency computer simulation value functional relation of the centrifugal pumps and the like. The method starts from real test data, only depends on one-time centrifugal pump physical manufacturing, obtains the correction method of the centrifugal pump efficiency simulation result based on limited test data, has the advantages of objective science, strict logic, simple and convenient operation and the like, and is beneficial to improving the reliability of the centrifugal pump efficiency simulation result so as to save development time and capital cost.
Description
Technical Field
The invention relates to the field of centrifugal pumps, in particular to a method for predicting efficiency values of a centrifugal pump based on simulation result correction.
Background
The water pump is widely used in industrial and agricultural production and various occasions of people's life, is used for fluid transportation and pressurization, and consumes a large amount of energy in its operation. Among them, centrifugal pumps are the most widely used and most energy consuming water pumps, so the improvement of centrifugal pump efficiency is the most concerned by design and manufacturers. Because technical parameters such as flow and lift are different to centrifugal pump under the different operating condition in scene, so in order to improve the centrifugal pump efficiency as far as possible, the designer often need carry out the customization design of centrifugal pump: namely, a certain existing centrifugal pump design scheme is used as a blueprint, modification and optimization are carried out on the basis, and efficiency maximization is achieved while the field operation working condition is met.
With the rapid development of computer technology, people increasingly use computer simulation means to carry out the optimal design of centrifugal pumps, so as to reduce the cost of manufacturing and experimental tests of a real object prototype, save manpower and material resources and accelerate the development speed of products. The most representative of the methods is to utilize computational fluid dynamics software to carry out computer simulation to predict the efficiency values of the centrifugal pump under different flow working conditions, and then complete the optimization design of the centrifugal pump. However, due to the influence of various factors, the computer simulation result is often different from the real experimental test result to a certain extent, and how to correct the computer simulation result to make the computer simulation result closer to the real situation is an important subject in the field of centrifugal pump efficiency optimization design.
In the prior known technical scheme, although a large number of computer simulation means are applied to predict the efficiency values of the centrifugal pump under different flow working conditions, related literature reports also carry out comparative analysis on the computer simulation values and the experimental test values of the efficiency values of the centrifugal pump, and how to correct the computer simulation results according to the experimental test values is lack of systematic and deep research. Therefore, a correction method of a centrifugal pump efficiency simulation result is urgently needed to be developed at present so as to predict the efficiency values of the centrifugal pump under different working conditions more accurately, and therefore the reliability and the practicability of the centrifugal pump computer simulation technology are improved.
Therefore, on the basis of the existing centrifugal pump computer simulation technology, how to construct a systematic and general correction method for the efficiency value obtained by centrifugal pump computer simulation through limited real experimental test data is an urgent technical problem to be solved, and the method realizes more accurate prediction of the efficiency value of the centrifugal pump under various centrifugal pump design schemes based on the computer simulation and the correction method.
Disclosure of Invention
In order to solve the technical problems, the invention provides a centrifugal pump efficiency value prediction method based on simulation result correction, which is objective, scientific and convenient to operate.
The technical scheme for solving the problems is as follows: a method for predicting efficiency value of centrifugal pump based on simulation result correction comprises the following steps:
step 1, determining a minimum flow value Q to be investigated according to a design scheme of a centrifugal pump primary pumpminAnd maximum flow rate value QmaxRespectively carrying out experimental test and computer simulation on the original pump design scheme to obtain an experimental test value and a computer simulation value of the original pump efficiency of the centrifugal pump corresponding to not less than 5 different flow points in an investigation flow range;
step 2, aiming at efficiency experiment test values and computer simulation values corresponding to different flow points of the original pump of the centrifugal pump, unitary quadratic function fitting is respectively carried out based on a least square method, and a centrifugal pump original pump flow-efficiency experiment test value function relation T (Q) a is respectively obtainedTQ2+bTQ+cTAnd the original pump flow-efficiency computer simulation value function relation of centrifugal pump N (Q) aNQ2+bNQ+cNIn the above two formulas, Q is the flow value of the centrifugal pump, T (Q) is the experimental test value of the original pump efficiency of the centrifugal pump when the flow is Q, aT、bTAnd cTRespectively obtaining quadratic coefficient, first order coefficient and constant term of the unary quadratic function relational expression of the experimental test value unitary of the original pump flow rate-efficiency of the centrifugal pump obtained by fitting, wherein N (Q) is a simulated calculation value of the original pump efficiency of the centrifugal pump when the flow rate is Q, and aN、bNAnd cNRespectively simulating quadratic coefficient, first order coefficient and constant term of a unitary quadratic function relation of the value obtained by fitting the original pump flow of the centrifugal pump and the efficiency by a computer;
step 3, simulating a value function relation N (Q) a to a centrifugal pump original pump flow-efficiency computerNQ2+bNQ+cNPerforming primary correction to obtain a computer simulation value primary correction function relation N of the original pump flow rate-efficiency of the centrifugal pumpI(Q)＝aN(Q+ΔQL)2+bN(Q+ΔQL)+cNIn the formula,. DELTA.QLThe amount of translation to the left for the function,
step 4, simulating a value function relation N (Q) a to the original pump flow-efficiency computer of the centrifugal pumpNQ2+bNQ+cNPerforming secondary correction to obtain a secondary correction function relation N of the original pump flow-efficiency computer simulation value of the centrifugal pumpII(Q)＝haN(Q+ΔQL)2+hbN(Q+ΔQL)+hcNWherein h is a function stretch coefficient,
step 5, simulating a value function relation N (Q) a to the original pump flow-efficiency computer of the centrifugal pumpNQ2+bNQ+cNCarrying out three times of correction to obtain a three times correction function relation N of the original pump flow-efficiency computer simulation value of the centrifugal pumpIII(Q)＝haN(Q+ΔQL)2+hbN(Q+ΔQL)+hcN+ΔNUIn the formula, Δ NUThe amount of translation is up-shift as a function,
and 6, modifying the original design scheme of the centrifugal pump to obtain a new design scheme of the centrifugal pump, performing computer simulation on the new design scheme of the centrifugal pump, and fitting according to a simulation result to obtain a computer simulation value functional relation M (Q) a of the new pump flow rate-efficiency of the centrifugal pumpMQ2+bMQ+cMWherein Q is the flow value of the centrifugal pump, M (Q) is the simulation calculated value of the new pump efficiency of the centrifugal pump when the flow is Q, and aM、bMAnd cMRespectively simulating quadratic coefficient, first order coefficient and constant term of a unitary quadratic function relation of the value obtained by fitting the new pump flow rate-efficiency computer of the centrifugal pump;
step 7, new pump flow-efficiency of centrifugal pumpComputer simulation value function relation M (Q) aMQ2+bMQ+cMOn the basis, correction is carried out to obtain a correction function relation M of the new pump flow-efficiency computer simulation value of the centrifugal pumpX(Q)＝haM(Q+ΔQL)+hbM(Q+ΔQL)+hcM+ΔNUThat is, the function relation corresponding to the predicted flow-efficiency curve of the new centrifugal pump, in which the delta Q isLAmount of left translation for the function determined in step 3, h is the stretch coefficient for the function determined in step 4, Δ NUThe amount of upward translation is the function determined in step 5.
In the method for predicting the efficiency value of the centrifugal pump based on simulation result correction, the design scheme of the original pump or the new pump of the centrifugal pump in the step 1 or the step 7 includes but is not limited to the geometric shape and size of the centrifugal pump, the rated rotating speed, the rotating direction of the impeller, the operating flow range and other information.
In the above method for predicting efficiency value of centrifugal pump based on simulation result correction, the obtaining of original pump efficiency test value of centrifugal pump in step 1 includes the following steps:
step S1: according to the design scheme of the original pump of the centrifugal pump, processing and manufacturing a centrifugal pump object, and mounting the centrifugal pump object to a hydraulic performance test board of the centrifugal pump;
step S2: on the hydraulic performance test board of the centrifugal pump, the minimum flow value Q for the centrifugal pump to examine the running flow of the centrifugal pump is set by adjusting a pipeline valve at the outlet of the centrifugal pumpminRecording the running flow, the rotating speed, the main shaft torque and the lift measured value of the centrifugal pump under the flow value, and calculating the efficiency value of the centrifugal pump under the running flow point according to the running flow, the rotating speed, the main shaft torque and the lift value of the centrifugal pump obtained through measurement;
step S3: increasing the opening of a valve of an outlet pipeline of the centrifugal pump, properly increasing the running flow value of the centrifugal pump, recording the running flow, the rotating speed, the main shaft torque and the lift measured value of the centrifugal pump under the flow value, and calculating the efficiency value of the centrifugal pump under the running flow point according to the running flow, the rotating speed, the main shaft torque and the lift value of the centrifugal pump obtained by measurement;
step S4:repeating the step S3 at least 3 times until the maximum flow Q is obtainedmaxThe efficiency value of the corresponding centrifugal pump.
In the method for predicting the efficiency value of the centrifugal pump based on simulation result correction, the obtaining of the computer simulation value of the original pump efficiency of the centrifugal pump in the step 1 comprises the following steps:
step O1: drawing a three-dimensional geometric figure of a water body part of the centrifugal pump according to a design scheme of an original pump of the centrifugal pump, and dividing a grid for numerical simulation;
step O2: introducing a grid for numerical simulation of a centrifugal pump into computational fluid dynamics software, and setting a minimum flow value Q for consideration of a flow rate of the centrifugal pumpminAdding necessary information such as the rated rotating speed of the centrifugal pump, the rotating direction of the impeller and the like, performing iterative calculation by adopting a finite volume method, and obtaining the main shaft torque and the lift value of the centrifugal pump under the passing flow based on the calculation result, thereby calculating the efficiency value of the centrifugal pump under the operating flow point;
step O3: adjusting the setting of computational fluid dynamics software, properly increasing the flow value of the centrifugal pump, adding necessary information such as the rated rotating speed of the centrifugal pump, the rotating direction of an impeller and the like, performing iterative computation by adopting a finite volume method, and obtaining the main shaft torque and the lift value of the centrifugal pump under the flow rate based on the computation result, thereby computing the efficiency value of the centrifugal pump under the operation flow point;
step O4: repeating the step O3 at least 3 times until the maximum flow Q is obtainedmaxThe efficiency value of the corresponding centrifugal pump.
The invention has the beneficial effects that:
1. aiming at the fact that the centrifugal pump efficiency values obtained by two ways of computer simulation and experimental test have deviation, the method carries out correction for many times through conversion of various fitting curves, establishes a correction method of the centrifugal pump simulation result, and is convenient for predicting the variation condition of the centrifugal pump efficiency values along with the flow under various new design schemes more accurately.
2. The method is based on least square method to fit the centrifugal pump efficiency values obtained by computer simulation and experimental test, respectively obtain respective flow-efficiency fitting unitary quadratic function formulas, and further obtain the correction of curve shape and position on the basis.
3. The method for predicting the efficiency value of the centrifugal pump based on the simulation result correction only needs to manufacture a centrifugal pump sample machine once and test the centrifugal pump sample machine for a limited time at the initial stage, has low consumption cost and small data processing amount, is easy to realize the programming of the correction process, and can predict and correct the efficiency computer simulation values of the centrifugal pump with a plurality of different new design schemes according to the correction coefficient.
Drawings
FIG. 1 is a flow chart of the present invention.
Fig. 2 is a fitting function curve diagram of a centrifugal pump original pump in the embodiment of the invention, wherein a curve 101 is a fitting function curve of a flow-efficiency experimental test value, and a curve 102 is a fitting function curve of a flow-efficiency experimental test value.
Fig. 3 is a graph of a computer simulation value correction function of the flow rate and efficiency of the original pump of the centrifugal pump in the embodiment of the invention, a curve 103 is a curve of a computer simulation value primary correction function of the flow rate and efficiency of the original pump of the centrifugal pump, a curve 104 is a curve of a computer simulation value secondary correction function of the flow rate and efficiency of the original pump of the centrifugal pump, and a curve 105 is a curve of a computer simulation value cubic correction function of the flow rate and efficiency of the original pump of the centrifugal pump.
Fig. 4 is a comparison graph of a flow-efficiency function curve of a new centrifugal pump in the embodiment of the invention, wherein a curve 201 is a flow-efficiency computer simulation value function curve of the new centrifugal pump, a curve 202 is a flow-efficiency computer simulation value correction function curve of the new centrifugal pump, and a curve 203 is a flow-efficiency experimental test value function curve of the new centrifugal pump.
Detailed Description
The invention is further described below with reference to the figures and examples.
As shown in fig. 1, a method for predicting efficiency of a centrifugal pump based on simulation result correction includes the following steps:
step (ii) of1. Determining the minimum flow value Q to be investigated according to the design scheme of the original pump of the centrifugal pumpminAnd maximum flow rate value QmaxAnd respectively carrying out experimental test and computer simulation on the original pump design scheme to obtain an experimental test value and a computer simulation value of the original pump efficiency of the centrifugal pump corresponding to at least 5 different flow points in an investigation flow range.
The design scheme of the original pump of the centrifugal pump comprises information such as the geometric shape and size, the rated rotating speed, the rotating direction of the impeller, the operating flow range and the like of the centrifugal pump.
The method for acquiring the experimental test value of the original pump efficiency of the centrifugal pump comprises the following steps:
step S1: according to the design scheme of the original pump of the centrifugal pump, processing and manufacturing a centrifugal pump object, and mounting the centrifugal pump object to a hydraulic performance test board of the centrifugal pump;
step S2: on the hydraulic performance test board of the centrifugal pump, the minimum flow value Q for the centrifugal pump to examine the running flow of the centrifugal pump is set by adjusting a pipeline valve at the outlet of the centrifugal pumpminRecording the running flow, the rotating speed, the main shaft torque and the lift measured value of the centrifugal pump under the flow value, and calculating the efficiency value of the centrifugal pump under the running flow point according to the running flow, the rotating speed, the main shaft torque and the lift value of the centrifugal pump obtained through measurement;
step S3: increasing the opening of a valve of an outlet pipeline of the centrifugal pump, properly increasing the running flow value of the centrifugal pump, recording the running flow, the rotating speed, the main shaft torque and the lift measured value of the centrifugal pump under the flow value, and calculating the efficiency value of the centrifugal pump under the running flow point according to the running flow, the rotating speed, the main shaft torque and the lift value of the centrifugal pump obtained by measurement;
step S4: repeating the step S3 at least 3 times until the maximum flow Q is obtainedmaxThe efficiency value of the corresponding centrifugal pump.
The method for acquiring the computer simulation value of the original pump efficiency of the centrifugal pump comprises the following steps:
step O1: drawing a three-dimensional geometric figure of a water body part of the centrifugal pump according to a design scheme of an original pump of the centrifugal pump, and dividing a grid for numerical simulation;
step O2: introducing a grid for numerical simulation of a centrifugal pump into computational fluid dynamics software, and setting a minimum flow value Q for consideration of a flow rate of the centrifugal pumpminAdding necessary information such as the rated rotating speed of the centrifugal pump, the rotating direction of the impeller and the like, performing iterative calculation by adopting a finite volume method, and obtaining the main shaft torque and the lift value of the centrifugal pump under the passing flow based on the calculation result, thereby calculating the efficiency value of the centrifugal pump under the operating flow point;
step O3: adjusting the setting of computational fluid dynamics software, properly increasing the flow value of the centrifugal pump, adding necessary information such as the rated rotating speed of the centrifugal pump, the rotating direction of an impeller and the like, performing iterative computation by adopting a finite volume method, and obtaining the main shaft torque and the lift value of the centrifugal pump under the flow rate based on the computation result, thereby computing the efficiency value of the centrifugal pump under the operation flow point;
step O4: repeating the step O3 at least 3 times until the maximum flow Q is obtainedmaxThe efficiency value of the corresponding centrifugal pump.
Step 2, aiming at efficiency experiment test values and computer simulation values corresponding to different flow points of the original pump of the centrifugal pump, unitary quadratic function fitting is respectively carried out based on a least square method, and a centrifugal pump original pump flow-efficiency experiment test value function relation T (Q) a is respectively obtainedTQ2+bTQ+cTAnd the original pump flow-efficiency computer simulation value function relation of centrifugal pump N (Q) aNQ2+bNQ+cNIn the above two formulas, Q is the flow value of the centrifugal pump, T (Q) is the experimental test value of the original pump efficiency of the centrifugal pump when the flow is Q, aT、bTAnd cTRespectively obtaining quadratic coefficient, first order coefficient and constant term of the unary quadratic function relational expression of the experimental test value unitary of the original pump flow rate-efficiency of the centrifugal pump obtained by fitting, wherein N (Q) is a simulated calculation value of the original pump efficiency of the centrifugal pump when the flow rate is Q, and aN、bNAnd cNRespectively is a quadratic term coefficient, a first order coefficient and a constant term of a fitted original pump flow-efficiency computer simulation value unitary quadratic function relation of the centrifugal pump.
Step 3, simulating a truth function for a centrifugal pump original pump flow-efficiency computerThe relation N (Q) is aNQ2+bNQ+cNPerforming primary correction to obtain a computer simulation value primary correction function relation N of the original pump flow rate-efficiency of the centrifugal pumpI(Q)＝aN(Q+ΔQL)2+bN(Q+ΔQL)+cNIn the formula,. DELTA.QLThe amount of translation to the left for the function,
step 4, simulating a value function relation N (Q) a to the original pump flow-efficiency computer of the centrifugal pumpNQ2+bNQ+cNPerforming secondary correction to obtain a secondary correction function relation N of the original pump flow-efficiency computer simulation value of the centrifugal pumpII(Q)＝haN(Q+ΔQL)2+hbN(Q+ΔQL)+hcNWherein h is a function stretch coefficient,
step 5, simulating a value function relation N (Q) a to the original pump flow-efficiency computer of the centrifugal pumpNQ2+bNQ+cNCarrying out three times of correction to obtain a three times correction function relation N of the original pump flow-efficiency computer simulation value of the centrifugal pumpIII(Q)＝haN(Q+ΔQL)2+hbN(Q+ΔQL)+hcN+ΔNUIn the formula, Δ NUThe amount of translation is up-shift as a function,
and 6, modifying the original design scheme of the centrifugal pump to obtain a new design scheme of the centrifugal pump, performing computer simulation on the new design scheme of the centrifugal pump, and fitting according to a simulation result to obtain a computer simulation value functional relation M (Q) a of the new pump flow rate-efficiency of the centrifugal pumpMQ2+bMQ+cMWherein Q is the flow value of the centrifugal pump, M (Q) is the simulation calculated value of the new pump efficiency of the centrifugal pump when the flow is Q, and aM、bMAnd cMRespectively simulating quadratic coefficient, first order coefficient and constant term of a unitary quadratic function relation of the value obtained by fitting the new pump flow rate-efficiency computer of the centrifugal pump;
the design scheme of the new centrifugal pump comprises information such as the geometric shape and size of the centrifugal pump, the rated rotating speed, the rotating direction of an impeller, the operating flow range and the like.
Step 7, simulating a value function relation M (Q) a on a centrifugal pump new pump flow-efficiency computerMQ2+bMQ+cMOn the basis, correction is carried out to obtain a correction function relation M of the new pump flow-efficiency computer simulation value of the centrifugal pumpX(Q)＝haM(Q+ΔQL)+hbM(Q+ΔQL)+hcM+ΔNUThat is, the function relation corresponding to the predicted flow-efficiency curve of the new centrifugal pump, in which the delta Q isLAmount of left translation for the function determined in step 3, h is the stretch coefficient for the function determined in step 4, Δ NUThe amount of upward translation is the function determined in step 5.
Examples
The design scheme of a centrifugal pump is as follows: the diameter of an inlet is 0.35m, the diameter of an outlet is 0.35m, the rated rotating speed is 1480r/min, the rotating direction of the impeller is anticlockwise, and the rated flow is 1200m3The flow rate range is 700-1700 m3H, i.e. the minimum flow Q observedmin＝700m3H, maximum flow value Qmax＝1700m3/h。
According to the design scheme of the original pump of the centrifugal pump, a centrifugal pump object is processed and manufactured, and the efficiency values under different flow working conditions are shown in table 1 through testing of a hydraulic performance test bench.
TABLE 1 efficiency test values of original pump design of centrifugal pump under different flow working conditions
| Flow rate (m)3/h) | 700 | 972 | 1260 | 1476 | 1700 |
| Efficiency value | 0.558 | 0.71 | 0.81 | 0.782 | 0.71 |
According to the design scheme of the original pump of the centrifugal pump, drawing a three-dimensional geometric figure of a water body part of the centrifugal pump, dividing a grid for numerical simulation, introducing computational fluid dynamics software Fluent, and setting boundary conditions as follows: and (3) performing iterative calculation by adopting a finite volume method with an inlet as a flow value, an outlet static pressure as 0, an impeller region rotating speed as 1480r/min and an impeller rotating direction as a counterclockwise direction, and obtaining a main shaft torque and a head value of the centrifugal pump under the passing flow based on a calculation result, thereby calculating an efficiency value of the centrifugal pump under the operation flow point.
The efficiency values of the original pump obtained by computer simulation under different flow working conditions are shown in table 2.
TABLE 2 efficiency computer simulation value of original pump design of centrifugal pump under different flow working conditions
| Flow rate (m)3/h) | 700 | 972 | 1260 | 1476 | 1700 |
| Efficiency value | 0.564 | 0.703 | 0.76 | 0.751 | 0.687 |
Fitting the data in the table 1 and the table 2 respectively based on a least square method to obtain a centrifugal pump raw pump flow-efficiency experiment test value functional relation T (Q) aTQ2+bTQ+cT＝-6.33E-7Q2+1.68E-3Q-3.10E-1, i.e. the quadratic coefficient a of the unitary quadratic function relational expression of the experimental test value of the original pump flow-efficiency of the centrifugal pump obtained by fittingT-6.33E-7, coefficient of first order term bT1.68E-3, constant term cT-3.10E-1; obtaining a computer simulation value function relation of original pump flow and efficiency of the centrifugal pump as N (Q) aNQ2+bNQ+cN＝-5.22E-7Q2+1.38E-3Q-1.43E-1, i.e. quadratic coefficient a of the fitted original pump flow-efficiency computer simulation value unitary quadratic function relation of the centrifugal pumpN-5.22E-7, coefficient of first order term bN1.38E-3, constant term cN-1.43E-1. Therefore, the function left translation amount required by the computer simulation value function relation of the flow rate of the original pump of the centrifugal pump and the efficiency through calculation for one-time correction is as follows:
the relation of the computer simulation value first-time correction function of the original pump flow rate-efficiency of the centrifugal pump is obtained as follows: n is a radical ofI(Q)＝aN(Q+ΔQL)2+bN(Q+ΔQL)+cN＝-5.22E-7(Q-5.2)2+1.38E-3(Q-5.2)-1.43E-1
The function tensile coefficient required by the secondary correction of the computer simulation value function relation of the original pump flow rate-efficiency of the centrifugal pump is obtained by calculation:
the obtained secondary correction function relation of the original pump flow-efficiency computer simulation value of the centrifugal pump is as follows:
NII(Q)＝haN(Q+ΔQL)2+hbN(Q+ΔQL)+hcN＝-6.32E-7(Q-5.2)2+1.67E-3(Q-5.2)-1.72E-1
the function upward translation amount required by the three-time correction of the computer simulation value function relation of the original pump flow rate-efficiency of the centrifugal pump is obtained by calculation:
finally, the obtained three-time correction function relation of the original pump flow of the centrifugal pump and the simulated value of the efficiency by a computer is as follows:
NIII(Q)＝haN(Q+ΔQL)2+hbN(Q+ΔQL)+hcN+ΔNU＝-6.32E-7(Q-5.2)2+1.67E-3(Q-5.2)-0.298＝-6.32E-7Q2+1.68E-3Q-3.10E-1
therefore, the three-time correction function relation of the original pump flow of the centrifugal pump, which is obtained by three-time correction of the original pump flow of the centrifugal pump and efficiency computer simulation value function relation, is basically consistent with the unitary quadratic function relation of the original pump flow of the centrifugal pump and efficiency experimental test value.
In order to observe the conditions of the functional relations, the flow range is 700-1700 m3Within/h, the function plots are shown in FIG. 2 and FIG. 3, respectively.
Fig. 2 is a fitting function curve chart of the original pump of the centrifugal pump, wherein a curve 101 is a fitting function curve of experimental test values of flow rate and efficiency, and a curve 102 is a fitting function curve of experimental test values of flow rate and efficiency.
Fig. 3 is a graph of a computer simulation value correction function of the flow rate and efficiency of the original pump of the centrifugal pump, a curve 103 is a curve of a computer simulation value first-order correction function of the flow rate and efficiency of the original pump of the centrifugal pump, a curve 104 is a curve of a computer simulation value second-order correction function of the flow rate and efficiency of the original pump of the centrifugal pump, and a curve 105 is a curve of a computer simulation value third-order correction function of the flow rate and efficiency of the original pump of the centrifugal pump.
As can be seen from fig. 2, the fitting function curve 101 of the flow-efficiency experimental test value of the original pump of the centrifugal pump is greatly different from the fitting function curve 102 of the flow-efficiency experimental test value; comparing fig. 2 and fig. 3, it can be found that, after three corrections, the curve 105 of the flow-efficiency computer simulation value three times correction function of the original pump of the centrifugal pump in fig. 3 almost coincides with the curve 101 of the flow-efficiency test value fitting function of the original pump of the centrifugal pump in fig. 2.
Next, the left shift amount Δ Q is obtained using the gain functionLA function stretch coefficient h and a function upward translation amount delta NUEfficiency values are predicted for the new pump design.
On the basis of the design scheme of the original pump of the centrifugal pump, the three-dimensional geometric drawing of the original pump of the centrifugal pump is modified in a small range to obtain a design scheme of a new pump of the centrifugal pump, computer simulation is carried out on the design scheme of the new pump of the centrifugal pump, and the efficiency computer simulation values under different flow working conditions are obtained and are shown in a table 3.
TABLE 3 efficiency computer simulation value of new pump design of centrifugal pump under different flow working conditions
| Flow rate (m)3/h) | 700 | 972 | 1260 | 1476 | 1700 |
| Efficiency value | 0.581 | 0.725 | 0.787 | 0.774 | 0.705 |
According to the simulation result in table 3, the simulation result is fitted to obtain the new pump flow-efficiency computer simulation value function relation of the centrifugal pump, wherein m (q) is aMQ2+bMQ+cM＝-5.55E-7Q2+1.46E-3Q-0.167。
Therefore, the data are substituted into the analysis process of the related data of the original pump of the centrifugal pumpThe obtained function is shifted leftward by an amount Δ QL-5.2, the functional stretch factor h is 1.21, and the functional upward shift Δ NUThe obtained new pump flow-efficiency computer simulation value correction function relation of the centrifugal pump is-0.126 as follows: mX(Q)＝haM(Q+ΔQL)+hbM(Q+ΔQL)+hcM+ΔNU＝-5.55E-7*1.21(Q-5.2)2+1.46E-3*1.21(Q-5.2)-0.167*1.21-0.126＝-6.27E-7Q2+1.78E-3Q-0.337
In order to verify the reliability of the method for predicting the efficiency value of the centrifugal pump, a new pump entity of the centrifugal pump is processed and manufactured according to the design scheme of the new pump of the centrifugal pump, and the new pump entity is tested by a hydraulic performance test bench, and the obtained efficiency experimental test values under different flow working conditions are shown in a table 4.
Table 4 efficiency test values of new pump design of centrifugal pump under different flow conditions
| Flow rate (m)3/h) | 700 | 972 | 1260 | 1476 | 1700 |
| Efficiency value | 0.583 | 0.743 | 0.828 | 0.813 | 0.735 |
From the data in table 4, the relation p (Q) -6.43E-7Q of the new pump flow-efficiency computer experimental test value function of the centrifugal pump is obtained by fitting2+1.68E-3Q-0.283。
In order to more conveniently observe the condition of the correlation function relation of the new pump of the centrifugal pump, the flow range under investigation is 700-1700 m3In/h, the new pump related function plot for the centrifugal pump is shown, as shown in FIG. 4.
Fig. 4 is a comparison graph of a flow-efficiency function curve of a new centrifugal pump in the embodiment of the invention, wherein a curve 201 is a flow-efficiency computer simulation value function curve of the new centrifugal pump, a curve 202 is a flow-efficiency computer simulation value correction function curve of the new centrifugal pump, and a curve 203 is a flow-efficiency experimental test value function curve of the new centrifugal pump.
In fig. 4, it is easy to find that, after the centrifugal pump efficiency value correction method provided by the present invention is used to correct the flow-efficiency computer simulated value function curve 201 of the new centrifugal pump into the flow-efficiency computer simulated value correction function curve 202 of the new centrifugal pump, the prediction accuracy is significantly improved, and is very close to the flow-efficiency experimental test value function curve 203 of the new centrifugal pump.
The method for predicting the efficiency value of the centrifugal pump based on simulation result correction provided by the embodiment aims at the fact that the efficiency value of the centrifugal pump obtained by two ways of computer simulation and experimental test has deviation, based on the efficiency computer simulation result and the experimental test result of the original pump of the centrifugal pump, three correction parameters are obtained by converting a plurality of fitting curves, so that the flow-efficiency computer simulated value correction function curve of the original pump of the centrifugal pump is basically consistent with the experimental test value of the original pump, then the flow-efficiency computer simulated value function curve of a new pump of the centrifugal pump is corrected by using related correction coefficients, and finally the efficiency values of the new pump under different flow working conditions are well predicted, so that the method is objective and scientific, wide in application range, strict in logic, convenient to operate and easy to program, and when the design scheme of the new pump of the centrifugal pump is not too different from the original pump, and a better computer simulation value correction effect can be obtained.
Claims (4)
1. A method for predicting efficiency value of centrifugal pump based on simulation result correction comprises the following steps:
step 1, determining a minimum flow value Q to be investigated according to a design scheme of a centrifugal pump primary pumpminAnd maximum flow rate value QmaxRespectively carrying out experimental test and computer simulation on the original pump design scheme to obtain an experimental test value and a computer simulation value of the original pump efficiency of the centrifugal pump corresponding to not less than 5 different flow points in an investigation flow range;
step 2, aiming at efficiency experiment test values and computer simulation values corresponding to different flow points of the original pump of the centrifugal pump, unitary quadratic function fitting is respectively carried out based on a least square method, and a centrifugal pump original pump flow-efficiency experiment test value function relation T (Q) a is respectively obtainedTQ2+bTQ+cTAnd the original pump flow-efficiency computer simulation value function relation of centrifugal pump N (Q) aNQ2+bNQ+cNIn the above two formulas, Q is the flow value of the centrifugal pump, T (Q) is the experimental test value of the original pump efficiency of the centrifugal pump when the flow is Q, aT、bTAnd cTRespectively obtaining quadratic coefficient, first order coefficient and constant term of the unary quadratic function relational expression of the experimental test value unitary of the original pump flow rate-efficiency of the centrifugal pump obtained by fitting, wherein N (Q) is a simulated calculation value of the original pump efficiency of the centrifugal pump when the flow rate is Q, and aN、bNAnd cNRespectively simulating quadratic coefficient, first order coefficient and constant term of a unitary quadratic function relation of the value obtained by fitting the original pump flow of the centrifugal pump and the efficiency by a computer;
step 3, simulating a value function relation N (Q) a to a centrifugal pump original pump flow-efficiency computerNQ2+bNQ+cNPerforming primary correction to obtain a computer simulation value primary correction function relation N of the original pump flow rate-efficiency of the centrifugal pumpI(Q)＝aN(Q+ΔQL)2+bN(Q+ΔQL)+cNIn the formula,. DELTA.QLThe amount of translation to the left for the function,
step 4, simulating a value function relation N (Q) a to the original pump flow-efficiency computer of the centrifugal pumpNQ2+bNQ+cNPerforming secondary correction to obtain a secondary correction function relation N of the original pump flow-efficiency computer simulation value of the centrifugal pumpII(Q)＝haN(Q+ΔQL)2+hbN(Q+ΔQL)+hcNWherein h is a function stretch coefficient,
step 5, simulating a value function relation N (Q) a to the original pump flow-efficiency computer of the centrifugal pumpNQ2+bNQ+cNCarrying out three times of correction to obtain a three times correction function relation N of the original pump flow-efficiency computer simulation value of the centrifugal pumpIII(Q)＝haN(Q+ΔQL)2+hbN(Q+ΔQL)+hcN+ΔNUIn the formula, Δ NUAmount of translation upward as a function:
and 6, modifying the original design scheme of the centrifugal pump to obtain a new design scheme of the centrifugal pump, performing computer simulation on the new design scheme of the centrifugal pump, and fitting according to a simulation result to obtain a computer simulation value functional relation M (Q) a of the new pump flow rate-efficiency of the centrifugal pumpMQ2+bMQ+cMWherein Q is the flow value of the centrifugal pump, M (Q) is the simulation calculated value of the new pump efficiency of the centrifugal pump when the flow is Q, and aM、bMAnd, andcMrespectively simulating quadratic coefficient, first order coefficient and constant term of a unitary quadratic function relation of the value obtained by fitting the new pump flow rate-efficiency computer of the centrifugal pump;
step 7, simulating a value function relation M (Q) a on a centrifugal pump new pump flow-efficiency computerMQ2+bMQ+cMOn the basis, correction is carried out to obtain a correction function relation M of the new pump flow-efficiency computer simulation value of the centrifugal pumpX(Q)＝haM(Q+ΔQL)+hbM(Q+ΔQL)+hcM+ΔNUThat is, the function relation corresponding to the predicted flow-efficiency curve of the new centrifugal pump, in which the delta Q isLAmount of left translation for the function determined in step 3, h is the stretch coefficient for the function determined in step 4, Δ NUThe amount of upward translation is the function determined in step 5.
2. The method for predicting centrifugal pump efficiency rate based on simulation result correction as claimed in claim 1, wherein the design scheme of original pump or new pump of centrifugal pump in step 1 or step 7 includes but is not limited to geometric shape and size of centrifugal pump, rated rotation speed, impeller rotation direction, operation flow range and other information.
3. The method for predicting the efficiency value of the centrifugal pump based on the simulation result correction as recited in claim 1, wherein the step 1 of obtaining the experimental test value of the original pump efficiency of the centrifugal pump comprises the following steps:
step S1: according to the design scheme of the original pump of the centrifugal pump, processing and manufacturing a centrifugal pump object, and mounting the centrifugal pump object to a hydraulic performance test board of the centrifugal pump;
step S2: on the hydraulic performance test board of the centrifugal pump, the minimum flow value Q for the centrifugal pump to examine the running flow of the centrifugal pump is set by adjusting a pipeline valve at the outlet of the centrifugal pumpminRecording the running flow, the rotating speed, the main shaft torque and the lift measured value of the centrifugal pump under the flow value, and calculating the efficiency value of the centrifugal pump under the running flow point according to the running flow, the rotating speed, the main shaft torque and the lift value of the centrifugal pump obtained through measurement;
step S3: increasing the opening of a valve of an outlet pipeline of the centrifugal pump, properly increasing the running flow value of the centrifugal pump, recording the running flow, the rotating speed, the main shaft torque and the lift measured value of the centrifugal pump under the flow value, and calculating the efficiency value of the centrifugal pump under the running flow point according to the running flow, the rotating speed, the main shaft torque and the lift value of the centrifugal pump obtained by measurement;
step S4: repeating the step S3 at least 3 times until the maximum flow Q is obtainedmaxThe efficiency value of the corresponding centrifugal pump.
4. The method for predicting the efficiency value of the centrifugal pump based on the simulation result correction as recited in claim 1, wherein the obtaining of the computer simulation value of the original pump efficiency of the centrifugal pump in the step 1 comprises the steps of:
step O1: drawing a three-dimensional geometric figure of a water body part of the centrifugal pump according to a design scheme of an original pump of the centrifugal pump, and dividing a grid for numerical simulation;
step O2: introducing a grid for numerical simulation of a centrifugal pump into computational fluid dynamics software, and setting a minimum flow value Q for consideration of a flow rate of the centrifugal pumpminAdding necessary information such as the rated rotating speed of the centrifugal pump, the rotating direction of the impeller and the like, performing iterative calculation by adopting a finite volume method, and obtaining the main shaft torque and the lift value of the centrifugal pump under the passing flow based on the calculation result, thereby calculating the efficiency value of the centrifugal pump under the operating flow point;
step O3: adjusting the setting of computational fluid dynamics software, properly increasing the flow value of the centrifugal pump, adding necessary information such as the rated rotating speed of the centrifugal pump, the rotating direction of an impeller and the like, performing iterative computation by adopting a finite volume method, and obtaining the main shaft torque and the lift value of the centrifugal pump under the flow rate based on the computation result, thereby computing the efficiency value of the centrifugal pump under the operation flow point;
step O4: repeating the step O3 at least 3 times until the maximum flow Q is obtainedmaxThe efficiency value of the corresponding centrifugal pump.
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