CN109271699A - A kind of calculation method of mammoth pump device performance curve - Google Patents
A kind of calculation method of mammoth pump device performance curve Download PDFInfo
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- CN109271699A CN109271699A CN201811051358.1A CN201811051358A CN109271699A CN 109271699 A CN109271699 A CN 109271699A CN 201811051358 A CN201811051358 A CN 201811051358A CN 109271699 A CN109271699 A CN 109271699A
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Abstract
The invention proposes a kind of calculation methods of mammoth pump device performance curve.It is the following steps are included: step (1): according to the pump theory of similarity, master pattern pump performance curve being converted into target size archetypal pump performance curve by efficiency similitude, flow rate conversion, lift conversion, power conversion;Step (2): coupled simulation calculates water inlet flow channel, outlet passage and pump internal flow;Step (3): the hydraulic loss of water inlet flow channel, outlet passage is calculated according to simulation calculated result;Step (4): mammoth pump Unit head and unit efficiency are calculated, to finally obtain the performance curve of device.For can not directly being tested for large-scale pump installation, the problems such as numerical simulation result is inaccurate, the present invention has the characteristics that easy realization easy to operate, can accurately predict mammoth pump device performance curve.
Description
Technical field
The invention belongs to hydraulic engineering field, refer in particular to be related to a kind of calculation method of mammoth pump device performance curve.
Background technique
China's irrigation and drainage pumping station is more than 500,000, wherein 60% the above are low-lift-head pumping stations.Low-lift-head pumping station is widely applied
In the south water to north, draw it is tender enter the domestic great hydraulic engineering such as white and Huai, Hai and Liao rivers and Tai, Chao and Dianchi lakes prevention and cure of pollution, in agricultural irrigation water drainage, water environment
Improvement, urban water supply engineering and water demand for natural service engineering etc. also play irreplaceable role.With the hair of economic society
Exhibition, most low-lift-head pumping stations are no longer satisfied requirement now, are badly in need of upgrading.Device performance curve changes the upgrading of pumping plant
It makes and longtime running has vital reference role.
Previous large pumping station device performance curve is converted to obtain by model test mostly, but the period of model test is long, at
This height, and since passages losses do not meet similarity law, scaled data precision is to be improved.With the rapid development of CFD technology,
It has been had been more and more widely used in pump field, it can be considered to the methods using numerical simulation to large-scale pump installation
Internal flow carries out numerical simulation, to directly and accurately obtain mammoth pump device performance curve.
Since the CFD numerical simulation accuracy in static domain is higher, institute more accurate to the prediction of inlet and outlet channel hydraulic loss
Can be calculated by the method for CFD numerical analysis the hydraulic loss of inlet and outlet channel.But simple only simulation runner
Words, the export boundary condition of water inlet flow channel and the inlet boundary of outlet passage can not be provided accurately, be needed when so carrying out CFD simulation
The mode for considering coupling water pump inter-flow simulation, can thus be accurately obtained the loss of water inlet flow channel and outlet passage.But
Since large-scale pump lift is lower, directly with the lift of CFD numerical simulation result prediction archetypal pump, there may be biggish errors.
On the other hand, since the performance curve of archetypal pump meets similarity law, conversion can be pumped by master pattern and obtained
The performance of archetypal pump.It was all made of in the past in the performance of convert archetypal pump and model pump and waits efficiency similitudes, but due to mammoth pump
Lift is generally all relatively low, if not considering the variation of efficiency in lift conversion, it is certain that this will make scaling results exist
Deviation, therefore lift conversion when consider efficiency change will further increase the performance conversion between archetypal pump and model pump
Precision.
The present invention is directed to find a kind of calculation method of large-scale pump setting characteristics curve, it is intended to which solving at present can not be simple quasi-
The problem of really obtaining mammoth pump device performance curve improves computational accuracy, saves time and cost, to ensuring that pumping plant safely may be used
It leans on, efficient operation provides important theoretical value and realistic meaning.
Summary of the invention
In view of the above-mentioned problems, present invention seek to address that the current difficult point for obtaining mammoth pump device performance curve, provides one kind
The calculation method of mammoth pump device performance curve.
To achieve the goals above, the technical solution adopted by the present invention to solve the technical problems is as follows:
By the way of calculating indirectly, using the hydraulic loss of CFD numerical simulation inlet and outlet channel, efficiency change shadow is considered
The performance curve conversion archetypal pump performance curve by model pump is rung, final calculation processing goes out the performance curve of prototype pump installation.
The specific steps of which are as follows:
(1) is by consulting " project of South-to-North water diversion water pump model is tested on the same stage ", according to large-scale pump installation (impeller outer diameter D2
>=1m) design discharge and lift determine corresponding master pattern pump (impeller outer diameter D2=300mm) parameter;
The efficiency of different type pump uses different reduction formulas, as 500 < n of prototype pump specific angular speedsWhen≤700, model
With archetypal pump efficiency similitude are as follows:As 700 < n of prototype pump specific angular speedsWhen≤900, model and original
The conversion of the type efficiency of pump are as follows:As 900 < n of prototype pump specific angular speedsWhen, model and the prototype efficiency of pump
Conversion are as follows:Flow similarity law are as follows:Lift similarity law are as follows:Power similarity law are as follows:ηM,HM,QM,PM,D2M,nMRespectively model pump
Gross efficiency, lift, flow, power, impeller outlet diameter and revolving speed, ηp,Hp,Qp,Pp,D2p,npRespectively object prototype pump is total
Efficiency, lift, flow, power, impeller outlet diameter and revolving speed.Finally according to flow rate working conditions point to 15 differences of large-scale pump installation
Operating condition converts.
(2) coupled simulation calculates water inlet flow channel, outlet passage and pump internal flow and leads to Fluid Mechanics Computation method
It crosses CFD numerical simulation and carries out the full runner numerical value calculating of pumping plant.Condition for import is determined by inlet velocity, due to admission section stream
Dynamic inhomogeneities, with function representation inlet boundary condition, using atmospheric pressure as export boundary condition.Corresponding to reduced discharge operating condition
Point the internal flow under large-scale pump installation difference operating condition is simulated, realization device performance prediction, calculate water inlet flow channel and
The inlet and outlet pressure of outlet passage provides condition to calculate runner hydraulic loss.
(3) calculates the hydraulic loss of water inlet flow channel, outlet passage according to simulation calculated result;Using CFD the poster processing soft
Step (2) resulting numerical simulation result is analyzed, costing bio disturbance formula is utilizedWithCalculate into
The hydraulic loss Δ h of water flow passage and outlet passage1, Δ h2, wherein P1, P2, P3, P4Respectively water inlet flow channel and outlet passage
Import and export pressure.
(4) Unit head HaBy formula Ha=Hp-Δh1-Δh2Gained;Unit efficiency is by formulaGained,
The performance curve of destination apparatus is finally made, wherein ρ is the density of pumped (conveying) medium, and g is acceleration of gravity, g=9.8m/s2。
Beneficial achievement of the invention:
The present invention for pumping plant large-scale pump installation directly simulate can not Accurate Prediction performance the characteristics of, improve prototype with
The calculation method of characteristic conversion method and device curve between model is damaged using the performance curve and runner waterpower of existing model pump
The lift and efficiency calculated under destination apparatus difference operating condition indirectly is lost, device performance curve is finally obtained.The method is more direct
The mode of test is more simple and convenient, and the cost of previous conversion method is reduced by CFD numerical simulation, is saved time and effort,
It efficiently solves large-scale pump installation and directly simulates inaccurate disadvantage, a kind of simple large-scale pump installation of accurately calculating is provided
The calculation method of energy curve.
Detailed description of the invention
Fig. 1 is a kind of flow chart of the calculation method of mammoth pump device performance curve.
Fig. 2 is water inlet flow channel import schematic cross-section.
Fig. 3 is the characteristic curve of pump of example Plays model pump.
Fig. 4 a and 4b are respectively the profile diagram for water inlet flow channel and outlet passage.
Fig. 5 be example in after converting pump station device performance curve.
Specific embodiment
The present invention is further illustrated below by the mode of example:
By taking the pumping plant for assembling certain axial-flow pump impeller as an example, diameter D when being 0 ° for blade angle2p=3000mm, revolving speed
npThe pumping plant large size archetypal pump of=136.4r/min, with D2M=300mm, revolving speed nMThe master pattern of=1450r/min, which pumps, to carry out
Conversion:
(1) is according to given prototype and model pump parameter, using the flow rate working conditions point pair within the scope of model pump performance curve
Large-scale pump installation 15 different operating conditions convert, and determine specific speedTherefore
Efficiency similitude isBy pump similarity law correspond to reduced discharge Q to taken point into
Row conversion, so that the performance curve of model pump is converted into the performance curve of the archetypal pump of target size.Wherein: flow is similar fixed
Rule are as follows:Lift similarity law are as follows:Power similarity law:
ηM,HM,QM,PM,D2M,nMThe respectively efficiency of model pump, lift, flow, power, impeller outlet diameter and revolving speed, ηp,Hp,Qp,
Pp,D2p,npThe respectively efficiency of object prototype pump, lift, flow, power, impeller outlet diameter and revolving speed;Calculated diameter D2p=
The archetypal pump parameter of 3000mm, by
It can be concluded that the relationship after conversion between object prototype pump and master pattern pump parameter: Qp=94.07QM,PP=0.826PM, model pump performance curve is converted into archetypal pump in pump station device using this relationship
Performance curve.
(2) water inlet flow channel of coupled simulation computing device and outlet passage and pump internal flow.With Fluid Mechanics Computation
Method carries out the full runner Coupled Numerical of pumping plant using suitable grid and turbulence model and calculates, to calculate runner waterpower damage
Offer condition is provided.Three-dimensional modeling is carried out to the full runner of pump station device, grid dividing, correlation inspection and numerical simulation correspond to
Internal flow under reduced discharge pair of operation points large size pump installation 15 different operating conditions is simulated, and flow condition is by function
It determines, water yielding condition is set as an atmospheric pressure, and the disengaging for calculating water inlet flow channel and outlet passage is simulated by CFD
Mouth pressure P1, P2, P3, P4。
(3) carries out the hydraulic loss that post-processing calculates water inlet flow channel and outlet passage to simulation calculated result.Specific implementation
Method is as follows.The analog result under different flow in step (2) is post-processed using CFD the poster processing soft, according to runner
Lose formulaWithIt is calculated, water inlet flow channel and outlet passage is calculated by numerical simulation result
Hydraulic loss Δ h1With Δ h2。
(4) Unit head HaBy formula Ha=Hp-Δh1-Δh2Gained;Unit efficiency is by formulaGained,
Finally make the performance curve of destination apparatus.Wherein ρ is the density of pumped (conveying) medium, and g is acceleration of gravity, g=9.8m/s2。
The foregoing is merely presently preferred embodiments of the present invention, all in spirit and original of the invention not to limit the present invention
Within then, made any modification, equivalent replacement, improve etc., it should all be included in the protection scope of the present invention.
Claims (5)
1. a kind of calculation method of mammoth pump device performance curve, it is characterised in that include the following steps:
(1) is according to the pump theory of similarity, by efficiency similitude, flow rate conversion, lift conversion, power conversion by master pattern pump property
Energy curve is converted into target size archetypal pump performance curve;
(2) coupled simulation calculates water inlet flow channel, outlet passage and pump internal flow;
(3) calculates the hydraulic loss of water inlet flow channel, outlet passage according to simulation calculated result;
(4) calculates mammoth pump Unit head and unit efficiency, to finally obtain the performance curve of device.
2. a kind of calculation method of mammoth pump device performance curve as described in claim 1;It is characterized in that, for step
(1), master pattern pump performance curve is converted by target size by efficiency similitude, flow rate conversion, lift conversion, power conversion
Archetypal pump performance curve, the specific steps are as follows:
(a) flow of corresponding master pattern pump, lift, the parameters such as efficiency and power needed for determining;
(b) efficiency similitude: as 500 < n of prototype pump specific angular speedsWhen≤700, model and archetypal pump efficiency similitude areAs 700 < n of prototype pump specific angular speedsWhen≤900, model and archetypal pump efficiency similitude areAs 900 < n of prototype pump specific angular speedsWhen, model and archetypal pump efficiency similitude are
Flow rate conversion:
Lift conversion:
Power conversion:
Wherein, ηM,HM,QM,PM,D2M,nMThe respectively gross efficiency of model pump, lift, flow, power, impeller outlet diameter and turn
Speed, ηp,Hp,Qp,Pp,D2p,npRespectively object prototype pump gross efficiency, lift, flow, power, impeller outlet diameter and turn
Speed.
(c) it is converted according to the flow rate working conditions point within the scope of model pump performance curve to large-scale pump installation 15 different operating conditions,
Finally the performance curve that master pattern pumps is converted into the performance curve of object prototype pump;
3. a kind of calculation method of mammoth pump device performance curve as described in claim 1;It is characterized in that, for step
(2), coupling calculates water inlet flow channel, outlet passage and pump internal flow, the specific steps are as follows:
(a) grid dividing and correlation inspection: grid dividing is carried out to large-scale pump installation using all-hexahedral element mesh, guarantees blade
With impeller wall surface y+Value is between 0~50;Correlation inspection is carried out to grid number, Bestgrid number is taken to carry out simulation calculating;
(b) numerical scheme: using the continuity equation and Navier-Stokes equation and SST k- ω turbulence model of unstable state to rapids
The transient motion of stream is described;Governing equation is carried out using control volume mothod discrete;Using reference format to pressure term into
Row is discrete;Momentum, tubulence energy and tubulence energy dissipative shock wave are carried out using upstreame scheme discrete;Using SIMPLE algorithm, separate type
Solve the Algebraic Equation set of the discrete rear each variable of governing equation;
(c) boundary condition: for the condition in zoning there are rotational flow field, being solved using Multiple reference system, method,
Solid-surface uses Standard law of wall using no slip boundary condition, near-wall region;
(d) it imports and exports condition: 15 differences of reduced discharge pair of operation points large size pump installation is corresponded to according to inlet and outlet boundary condition
Internal flow under operating condition is simulated, and condition for import is determined by inlet velocity, using atmospheric pressure as export boundary condition, passes through letter
Number
Determine inlet boundary condition, wherein v is the flow velocity in import section, and Q is flow in pumping, and A is import sectional area, water inlet flow channel
Import section horizontal distance 2a, import section vertical distance 2b.
4. a kind of calculation method of mammoth pump device performance curve as described in claim 1;It is characterized in that, being counted according to simulation
Calculate the hydraulic loss that result calculates water inlet flow channel, outlet passage, the specific steps are as follows:
Analog result is post-processed using CFD the poster processing soft, according to passages losses calculation formula
Calculate the hydraulic loss Δ h of water inlet flow channel and outlet passage1, Δ h2, wherein P1, P2, P3, P4Respectively water inlet flow channel and out water flow
The import and export pressure in road;
5. a kind of calculation method of mammoth pump device performance curve as described in claim 1;It is characterized in that, for step
(4), specific step is as follows for mammoth pump Unit head and unit efficiency:
(a) Unit head HaBy formula Ha=Hp-Δh1-Δh2Gained, wherein HaFor pump installation lift, HpIt is raised for object prototype pump
Journey, Δ h1, Δ h2The respectively hydraulic loss of water inlet flow channel and outlet passage;
(b) unit efficiency is by formulaGained finally makes the performance curve of destination apparatus.Wherein ρ is that conveying is situated between
The density of matter, g are acceleration of gravity, g=9.8m/s2。
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