CN113158358A - Series type spectrum planning method for centrifugal ventilator - Google Patents

Series type spectrum planning method for centrifugal ventilator Download PDF

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CN113158358A
CN113158358A CN202110197646.3A CN202110197646A CN113158358A CN 113158358 A CN113158358 A CN 113158358A CN 202110197646 A CN202110197646 A CN 202110197646A CN 113158358 A CN113158358 A CN 113158358A
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coefficient
fan
centrifugal
psi
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陆时捷
秦国良
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Xian Jiaotong University
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    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G06F30/17—Mechanical parametric or variational design
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04D—NON-POSITIVE-DISPLACEMENT PUMPS
    • F04D17/00—Radial-flow pumps, e.g. centrifugal pumps; Helico-centrifugal pumps
    • F04D17/08—Centrifugal pumps
    • F04D17/16—Centrifugal pumps for displacing without appreciable compression
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04D—NON-POSITIVE-DISPLACEMENT PUMPS
    • F04D27/00—Control, e.g. regulation, of pumps, pumping installations or pumping systems specially adapted for elastic fluids
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    • G06—COMPUTING; CALCULATING OR COUNTING
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    • G06F30/20—Design optimisation, verification or simulation
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Abstract

The invention discloses a centrifugal fan series type spectrum planning method, which comprises the following steps: 1) analyzing the existing backward centrifugal fan model: calculating and counting dimensionless performance parameters of the existing efficient backward centrifugal ventilator: 2) and (3) planning a model: determining the total number i of the model and the ranges of the specific rotation speed, the flow coefficient and the energy head coefficient through statistical analysis, and obtaining the type spectrum layout through the relationship between linear fitting and dimensionless parameters; 3) and carrying out pneumatic design on the planned model fan, and verifying the reasonability of the series of centrifugal fan type spectrum layout schemes through performance tests or numerical simulation. The invention solves the problems of repeated design, various centrifugal fans and insufficient parameter coverage range, and provides a series of spectrum planning method for a centrifugal fan.

Description

Series type spectrum planning method for centrifugal ventilator
Technical Field
The invention belongs to the technical field of centrifugal ventilators, and particularly relates to a series type spectrum planning method for a centrifugal ventilator.
Background
The centrifugal ventilator belongs to general machinery, has wide application range, and is used in petroleum, chemical industry, metallurgy, mine, electric power, traffic and other industrial fields. The existing ventilator products are developed in an accumulated mode on the basis of application in various industrial fields, the product types and specifications are various, the distribution is uneven, even the same parameter corresponds to various structures, and the overall planning is lacked. Therefore, the requirements of various application fields on the fan are needed to be systematically researched, the type spectrum of the centrifugal fan is planned, a plurality of high-efficiency model machines are formed, more high-efficiency model machines are extended through the modification design on the basis, the requirements of parameter diversity of various application fields can be met, the energy can be saved, and the centrifugal fan has a very important meaning on improving the overall operation efficiency of the centrifugal fan in China.
Disclosure of Invention
The invention aims to provide a centrifugal fan serialized layout method, and provides a more effective type spectrum layout method on the basis of analyzing the existing model so as to solve the problems of repeated design, various centrifugal fans and insufficient parameter coverage.
The invention is realized by adopting the following technical scheme:
a centrifugal fan serial type spectrum planning method comprises the following steps:
1) dimensionless parametric analysis of centrifugal ventilator model: calculating the non-dimensional performance parameters of the design points of the existing high-efficiency backward centrifugal ventilator: specific speed nsFlow coefficient of
Figure BDA0002947669740000011
And an energy head coefficient psi; with nsFor the abscissa, the flow coefficient of the fan design point is set
Figure BDA0002947669740000012
The energy head coefficient psi is respectively drawn in different figures to obtain
Figure BDA0002947669740000013
And nsPsi diagram, determining the design point flow coefficient of the existing high-efficiency backward centrifugal fan
Figure BDA0002947669740000021
The sum energy head coefficient psi is limited in the corresponding flow coefficient band and energy head coefficient band;
2) and (3) planning a model: to pair
Figure BDA0002947669740000022
And ns-determining by linear fitting
Figure BDA0002947669740000023
And psi ═ c · nsFour coefficient values in + d, and the upper and lower limits are derived in parallel relation; when a new type spectrum layout is carried out, a design point is selected in a band formed by upper and lower limits, a line close to the center of the band is selected as a design basis, the range of the specific rotation speed and the total number n of models in the range are determined, a corresponding common ratio is selected according to a priority coefficient of GB/T321-2005, and the specific rotation speed corresponding to a series of models is planned; by fitting
Figure BDA0002947669740000024
And nsThe psi relation is searched out, the corresponding flow coefficient and energy head coefficient are found out, so that a group of specific rotation speed, flow coefficient and energy head coefficient combination is obtained,
Figure BDA0002947669740000025
the backward blade centrifugal fan series has no dimensional parameters, namely a type spectrum layout;
3) the method comprises the steps of carrying out pneumatic design on a planned model fan, verifying the rationality of the series of centrifugal fan type spectrum layout schemes through performance tests or numerical simulation, and specifically inspecting design points of the model fan
Figure BDA0002947669740000026
And nsThe psi distribution and the original planning deviation size.
A further development of the invention is that in step 1), the dimensionless parameters of the ventilator are specifically defined as follows:
flow coefficient:
Figure BDA0002947669740000027
energy head coefficient:
Figure BDA0002947669740000028
specific rotation speed:
Figure BDA0002947669740000029
wherein Q is the volume flow rate in m3/s；hpolThe unit mass work of the ventilator is J/kg; omega is the angular speed of the fan impeller, and the unit is 1/s; d2Is the impeller exit diameter in m.
The invention is further improved in that, in the step 2), the
Figure BDA00029476697400000210
And ns-psi, determining coefficients { a, b, c, d } to obtain
Figure BDA00029476697400000211
And nsThe linear relationship of- ψ is as follows:
Figure BDA00029476697400000212
ψ＝-0.2308ns+0.7652。
a further development of the invention is that in step 2), for the centrifugal fan, nsThe range is 0.23 to 1.95.
A further development of the invention is that,
Figure BDA00029476697400000213
0.01 to 0.25.
The invention is further improved in that psi is 0.35-0.725.
Compared with the prior art, the invention has at least the following beneficial technical effects:
1. the invention plans the centrifugal ventilator series according to the dimensionless performance parameters, changes the current situation that only a single ventilator is designed according to the dimensionless performance parameters to cause repeated design at present, and provides a planning method for the serialization of the ventilator. The dimensionless performance parameters are converted by using a similar principle, can represent the performance of the same type of ventilators under different working rotating speeds, and are suitable for a series of ventilators with similar geometric shapes and different sizes. The dimensionless parameters are used for the profile planning, so that not only is the similar design conversion facilitated, but also the relation between ventilators with different geometric shapes and the performances of the ventilators is represented during planning. The effect of avoiding repeated design while meeting the design requirement can be achieved.
2. The invention fully considers the design rule of the existing high-efficiency centrifugal ventilator, induces the dimensionless parameter layout characteristics of the high-efficiency centrifugal ventilator, and can design a model machine with higher efficiency on the basis. Meanwhile, the performance curve distribution of the model machine designed by the invention is more regular, the defects of various models, model spectrum vacancy, parameter repetition and the like in the original model spectrum are overcome, and the design target that a large parameter range is covered by fewer models is realized. The performance test results after trial production of the model machine also verify that the series of model machines meet the initial model spectrum rule and achieve a higher energy efficiency level. The number of fan models and the types of fan products are reduced, the standardization and the generalization of the fan products are facilitated, and the energy conservation and the emission reduction are facilitated.
3. The invention has reasonable scheme, simple flow and easy realization. The invention provides a centrifugal fan series type spectrum planning method, which is a brand new fan series design method, obtains the centrifugal fan type spectrum optimized layout, solves the problems of incomplete product parameter coverage, unreasonable serial layout and unbalanced high, medium and low specific speed models.
Drawings
FIG. 1 shows the fitting n of the present inventions-a psi relationship diagram.
FIG. 2 is a fitting of the present invention
Figure BDA0002947669740000031
And (5) a relational graph.
FIG. 3 is a plan of the present invention
Figure BDA0002947669740000032
And ns-a psi relationship diagram.
FIG. 4 shows the results of performance tests of a prototype model
Figure BDA0002947669740000033
And (4) distribution.
FIG. 5 shows the results of performance test of a prototype model machines-a psi distribution.
Detailed Description
The following embodiments of the present invention are provided, and it should be noted that the present invention is not limited to the following embodiments, and all equivalent changes based on the technical solutions of the present invention are within the protection scope of the present invention.
The invention provides a series type spectrum planning method for a centrifugal ventilator, which comprises the following steps:
(1) analyzing the existing backward centrifugal fan model: calculating dimensionless performance parameters of the existing efficient backward centrifugal ventilator: specific speed nsFlow coefficient of
Figure BDA0002947669740000041
The energy head coefficient psi is calculated according to the following formula:
flow coefficient:
Figure BDA0002947669740000042
energy head coefficient:
Figure BDA0002947669740000043
specific rotation speed:
Figure BDA0002947669740000044
wherein Q is the volume flow rate in m3/s；hpolThe unit mass work of the ventilator is J/kg; omega is the angular speed of the fan impeller, and the unit is 1/s; d2Is the diameter of the outlet of the impeller in m;
the model referred to in the example is from Fan handbook, ventilator pneumatic outline and characteristic curve, and high-efficiency model machine after research and development. Calculating dimensionless parameters of all models to obtain specific parameters as follows:
TABLE 1 non-dimensional parameter statistics for existing high-efficiency backward centrifugal ventilator
Figure BDA0002947669740000045
Figure BDA0002947669740000051
And performing statistical analysis with nsFor the abscissa, the flow coefficient of the fan design point is set
Figure BDA0002947669740000052
The energy head coefficient psi is respectively drawn in different figures to obtain
Figure BDA0002947669740000053
And nsψ diagram (corresponding to fig. 1 and 2). The design point flow coefficient of the existing efficient backward centrifugal fan can be determined from the graph
Figure BDA0002947669740000054
The sum energy head coefficient psi is limited in the corresponding flow coefficient band and energy head coefficient band;
(2) and (3) planning a model: as shown in fig. 3, for
Figure BDA0002947669740000061
And ns-determining by linear fitting
Figure BDA0002947669740000062
And psi ═ c · nsFour coefficient values in + d, and the upper and lower bounds are derived in parallel. When a new type spectrum layout is carried out, the design point is selected from the band formed by the upper and lower limits, and the line close to the center of the band is selected as the basis of the design. Determining the range of the specific rotation speed and the total number n of the models in the range, selecting corresponding common ratio according to a priority number system [ GB/T321-2005 ], and planning the specific rotation speed corresponding to the series of models. By fitting
Figure BDA0002947669740000063
And nsThe phi relation is checked, the corresponding flow coefficient and energy head coefficient are found, so that a group of specific rotation speed, flow coefficient and energy head coefficient combination is obtained,
Figure BDA0002947669740000064
the fan is a series of backward blade centrifugal fans without dimensional parameters, namely a type spectrum layout.
Parameter ranges for this example: n issIs 0.23 to 1.95, taking n as 20, adopting the R20 number system in the national standard GB/T321-2005,
Figure BDA0002947669740000065
0.01 to 0.25, 0.35 to 0.725;
Figure BDA0002947669740000066
in a relationship of
Figure BDA0002947669740000067
nsThe relation of-psi is-0.2308 ns+0.7652；
This example results in the final dimensionless parameter distribution as follows:
TABLE 2 series of dimensionless parameter distributions for centrifugal ventilators
Figure BDA0002947669740000068
Figure BDA0002947669740000071
(3) The method comprises the steps of carrying out pneumatic design on a planned model fan, verifying the reasonability of the spectrum layout scheme of the series of centrifugal fans through performance tests or numerical simulation, and specifically inspecting the model fan
Figure BDA0002947669740000072
And nsThe psi distribution and the original planning deviation size.
In the embodiment, the planned model machine is pneumatically designed, and is tested according to GB1236-2017 performance experiment on industrial ventilator-standardized air duct, and the model fan is used
Figure BDA0002947669740000073
And nsThe ψ -profile and the shape spectrum design line are made in the same figure, respectively (see fig. 4 and fig. 5). The test result shows that the dimensionless performance basic parameters of all models fall around the design line of the type spectrum, the deviation is small, the target of expected serialization is achieved, and the rationality of the invention is proved.

Claims (6)

1. A centrifugal fan series type spectrum planning method is characterized by comprising the following steps:
1) dimensionless parametric analysis of centrifugal ventilator model: calculating the dimensionless performance parameters of the design point of the existing high-efficiency backward centrifugal fan: specific speed nsFlow coefficient of
Figure FDA0002947669730000011
And an energy head coefficient psi; with nsFor the abscissa, the flow coefficient of the fan design point is set
Figure FDA0002947669730000012
The energy head coefficient psi is respectively drawn in different figures to obtain
Figure FDA0002947669730000013
And nsPsi diagram, determining the design point flow coefficient of the existing high-efficiency backward centrifugal fan
Figure FDA0002947669730000014
The sum energy head coefficient psi is limited in the corresponding flow coefficient band and energy head coefficient band;
2) and (3) planning a model: to pair
Figure FDA0002947669730000015
And ns-determining by linear fitting
Figure FDA0002947669730000016
And psi ═ c · nsFour coefficient values in + d, and the upper and lower limits are derived in parallel relation; when a new type spectrum layout is carried out, a design point is selected in a band formed by upper and lower limits, a line close to the center of the band is selected as a design basis, the range of the specific rotation speed and the total number n of models in the range are determined, a corresponding common ratio is selected according to a priority coefficient of GB/T321-2005, and the specific rotation speed corresponding to a series of models is planned; by fitting
Figure FDA0002947669730000017
And nsThe phi relation is checked, the corresponding flow coefficient and energy head coefficient are found, so that a group of specific rotation speed, flow coefficient and energy head coefficient combination is obtained,
Figure FDA0002947669730000018
the backward blade centrifugal fan series has no dimensional parameters, namely a type spectrum layout;
3) the method comprises the steps of carrying out pneumatic design on a planned model fan, verifying the reasonability of the series of centrifugal fan type spectrum layout schemes through performance tests or numerical simulation, and specifically inspecting design points of the model fan
Figure FDA0002947669730000019
And nsThe psi distribution and the original planning deviation size.
2. A centrifugal fan family type spectrum planning method according to claim 1, wherein in step 1), dimensionless parameters of the fan are specifically defined as follows:
flow coefficient:
Figure FDA00029476697300000110
energy head coefficient:
Figure FDA00029476697300000111
specific rotation speed:
Figure FDA00029476697300000112
wherein Q is the volume flow rate in m3/s；hpolThe unit mass work of the ventilator is J/kg; omega is the angular speed of the fan impeller, and the unit is 1/s; d2Is the impeller exit diameter in m.
3. A centrifugal fan family type spectrum planning method according to claim 1, wherein in step 2), the method is performed on
Figure FDA0002947669730000021
And ns-psi, determining coefficients { a, b, c, d } to obtain
Figure FDA0002947669730000022
And nsThe linear relationship of- ψ is as follows:
Figure FDA0002947669730000023
ψ＝-0.2308ns+0.7652。
4. a centrifugal ventilator cascade spectrum planning method according to claim 3, wherein in step 2), n is for the centrifugal ventilatorsThe range is 0.23 to 1.95.
5. A centrifugal ventilator family planning method according to claim 3,
Figure FDA0002947669730000024
0.01 to 0.25.
6. The method for planning the spectrum of a centrifugal fan series according to claim 3, wherein psi is 0.35-0.725.
CN202110197646.3A 2021-02-22 2021-02-22 Series type spectrum planning method for centrifugal ventilator Pending CN113158358A (en)

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JPH09195978A (en) * 1996-01-17 1997-07-29 Matsushita Electric Ind Co Ltd Blower designing method
CN102945292A (en) * 2012-09-24 2013-02-27 西安理工大学 Method for determining wing-shaped oblique-flow cooling fan of automobile engine
CN106484968A (en) * 2016-09-23 2017-03-08 西安交通大学 A kind of method for quick predicting of the heat exchange Correlations based on response surface
CN109472389A (en) * 2018-09-10 2019-03-15 江苏大学 A kind of middle low specific speed impeller multi-state intelligent optimization method
CN110909422A (en) * 2019-10-22 2020-03-24 浙江理工大学 Method for predicting and optimizing range of efficient working condition area of centrifugal pump impeller
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