CN109508481A - A kind of diagonal pumps spatial guide blade optimum design method - Google Patents
A kind of diagonal pumps spatial guide blade optimum design method Download PDFInfo
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- CN109508481A CN109508481A CN201811254069.1A CN201811254069A CN109508481A CN 109508481 A CN109508481 A CN 109508481A CN 201811254069 A CN201811254069 A CN 201811254069A CN 109508481 A CN109508481 A CN 109508481A
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- vane
- angle
- diagonal pumps
- guide vane
- streamline
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
Abstract
The present invention provides a kind of diagonal pumps spatial guide blade optimum design methods.The present invention determines impeller outer diameter D by the following relational expression of determination2, spatial guide blade import laying angle α3, spatial guide blade export laying angle α4, subtended angle of blade.Guaranteeing guide vane outlet laying angle α3With vane inlet laying angle α4Under conditions of, it establishes and cross-directional length s is unfolded by the streamline of j-th of positionjWith guide vane axial length ljThe coordinate system of composition rationally controls vane type line by using the equation that Lagrange's interpolation designs, to reach purpose of design.It can effectively improve the flow regime in diagonal pumps, improve the hydraulic efficiency of diagonal pumps at runtime, reduce the hydraulic loss in spatial guide blade.It is with good economic efficiency, and it is more advantageous to the Program Appliance of computer.Since design method of the invention is different from traditional design method, it more can ensure that the accurate of calculating, make Theoretical Design more closing to reality model.
Description
Technical field
The present invention relates to a kind of design method of the major part of diagonal pumps, in particular to a kind of diagonal pumps spatial guide blade is excellent
Change design method.
Background technique
Spatial guide blade is called blower inlet casing, be mainly characterized by it is axial long radial short, with the unobstructed cooperation of oblique flow impeller of pump streamline
The advantages of, it is a kind of common water distributor.But the hydraulic efficiency of spatial guide blade is more relatively low than spiral pressurized water chamber (spiral case),
The hydraulic loss of guide vane, which accounts for, pumps the 40%~50% of power total losses, becomes the obstacle of its development.
Summary of the invention
To solve the above problems, the present invention relates to a kind of diagonal pumps spatial guide blade optimum design method, it is empty by improving
Between guide vane several important parameters design and using the equation of Lagrange's interpolation design to the leaf of diagonal pumps spatial guide blade
Piece molded line is controlled, to improve the hydraulic efficiency and stability of diagonal pumps.
The purpose of the present invention is achieved through the following technical solutions:
(1) impeller outer diameter D2
In formula:
D2- impeller outer diameter, mm;
N-design conditions revolving speed, r/min;
ns- specific speed;
Q-design conditions flow, m2/s。
(2) vane inlet laying angle α3
α3=α '3α=0 °~8 °+△ α △
In formula:
α3- vane inlet laying angle;
α′3- vane inlet fluid flow angle;
△ α-guide vane the angle of attack;
α-pre-selection vane inlet fluid flow angle;
D2- impeller outer diameter, mm;
Ht- design conditions lift, m;
Q-design conditions flow, m2/s;
δmax- guide vane maximum gauge, mm;
Z-the number of blade;
G-acceleration of gravity, m/s2;
T-pitch, mm;
ηv- oblique flow pump volumetric efficiency, percentage generally take 90%~96%.
(3) guide vane exports laying angle α4
In view of the influence of the limited number of blade should be greater than 90 °, to guarantee that liquid stream normal direction exports, α is generally taken4=90 °.But to
Negative characteristic is sought, can be calculated as follows:
α4=43.56ns 0.1058
(3)
In formula:
ns- specific speed.
(4) subtended angle of blade
In formula:
ns- specific speed.
(5) vane type line governing equation
smax∈(0.5D2,0.7D2) (7)
Wherein j=1,2 ..., n, footmark collectionMeetAnd pj
(sj)=1
In formula:
L-guide vane axial length, mm;
Cross-directional length, mm is unfolded in s-streamline;
siCross-directional length, mm is unfolded in streamline at-i-th position;
sjCross-directional length, mm is unfolded in streamline at-j-th position;
ljGuide vane axial length at-j-th position, mm;
D2- impeller outer diameter, mm;
- pre-selection cornerite, mm;
Radius corresponding to R-pre-selection cornerite, mm;
pj(s)-about streamline expansion cross-directional length s n-1 order polynomial;
The function name that f-is established with streamline expansion cross-directional length s;
Q-design conditions flow, m2/s;
ns- specific speed;
N-design conditions revolving speed, r/min.
It is available relative to system, accurate diagonal pumps spatial guide blade design method according to above-mentioned steps.
The medicine have the advantages that diagonal pumps spatial guide blade designed by design method according to the present invention can effectively change
Flow regime in kind diagonal pumps improves the hydraulic efficiency of diagonal pumps at runtime, reduces the hydraulic loss in spatial guide blade.
Detailed description of the invention
Fig. 1 is the spatial guide blade axial plane schematic diagram of one embodiment of the invention;
Fig. 2 is the spatial guide blade molded line schematic diagram of the same embodiment.
In figure: 1, guide vane outflow line maximum dimension D4, 2, streamline maximum dimension D in guide vane3, 3, pre-selection cornerite corresponding to
Radius R, 4, streamline outlet diameter D in guide vane6, 5, guide vane outflow line outlet diameter D5, 6, the streamline at j-th of position water is unfolded
Square to length sj, 7, the streamline at i-th of position cross-directional length, 8, blade relative thickness s, 9, j-th of position are unfolded
Locate guide vane axial length lj, 10, pitch t.
Specific embodiment
Fig. 1, Fig. 2 combination define the planform of diagonal pumps spatial guide blade.It can effectively improve the stream in diagonal pumps
Dynamic state improves the hydraulic efficiency of diagonal pumps at runtime, reduces the hydraulic loss in spatial guide blade.Present invention determine that following
Several relational expressions determine impeller outer diameter D2, spatial guide blade import laying angle α3, spatial guide blade export laying angle α4, subtended angle of bladeBy the parameter under known design conditions in Fig. 1, streamline maximum dimension D in guide vane is determined3, guide vane outflow line maximum gauge
D4, guide vane outflow line outlet diameter D5, streamline outlet diameter D in guide vane6.And guaranteeing guide vane outlet laying angle α3With guide vane into
Mouth laying angle α4Under conditions of, cross-directional length s is unfolded by the streamline of j-th of position in Fig. 2jWith guide vane axial length
ljIn the coordinate system of foundation, vane type line is rationally controlled by using the equation that Lagrange's interpolation designs, is set to reach
Count purpose.
1, impeller outer diameter is calculated
2, spatial guide blade import laying angle α is calculated3=α '3+△α
α=0 °~8 ° △
3, it calculates spatial guide blade and exports laying angle
4, spatial guide blade subtended angle of blade is calculated
5, spatial guide blade vane type line governing equation is determined
smax∈(0.5D2,0.7D2) (7)
Wherein j=1,2 ..., n, footmark collectionpj(s) meetAnd pj(sj)
=1
The present invention is optimized using exact formulas design method, obtains the hydraulic efficiency of diagonal pumps and stability very
Big raising, it is with good economic efficiency, and it is more advantageous to the Program Appliance of computer.Not due to design method of the invention
It is same as traditional design method, more can ensure that the accurate of calculating, makes Theoretical Design more closing to reality model.
More than, for illustrating of making of the invention patent reference implementation example, but the present invention not breeding above-described embodiment,
Also comprising the other embodiments or variation within the scope of present inventive concept.
Claims (4)
1. a kind of diagonal pumps spatial guide blade optimum design method, which is characterized in that when guide vane draws type, guaranteeing guide vane outlet placement
Angle α3With vane inlet laying angle α4Under conditions of determination, drafting smooth curve is controlled, by designed curved dies with complete
At the drafting of the working face molded line of every streamline.The formula used has:
smax∈(0.5D2,0.7D2) (3)
Wherein j=1,2 ..., n, footmark collectionpj(s) meetAnd pj(sj)=1
In formula:
L-guide vane axial length, mm;
Cross-directional length, mm is unfolded in s-streamline;
siCross-directional length, mm is unfolded in streamline at-i-th position;
sjCross-directional length, mm is unfolded in streamline at-j-th position;
ljGuide vane axial length at-j-th position, mm;
D2- impeller outer diameter, mm;
- pre-selection cornerite, mm;
Radius corresponding to R-pre-selection cornerite, mm;
pj(s)-about streamline expansion cross-directional length s n-1 order polynomial;
The function name that f-is established with streamline expansion cross-directional length s;
Q-design conditions flow, m2/s;
ns- specific speed;
N-design conditions revolving speed, r/min.
2. a kind of diagonal pumps spatial guide blade optimum design method according to claim 1, which is characterized in that diagonal pumps it is several
What parameter vane inlet laying angle α3Meet following condition:
α3=α '3α=0 °~8 °+△ α △
In formula:
α3- vane inlet laying angle;
α′3- vane inlet fluid flow angle;
△ α-guide vane the angle of attack;
α-pre-selection vane inlet fluid flow angle;
D2- impeller outer diameter, mm;
Ht- design conditions lift, m;
Q-design conditions flow, m2/s;
δmax- guide vane maximum gauge, mm;
Z-the number of blade;
G-acceleration of gravity, m/s2;
T-pitch, mm;
ηv- oblique flow pump volumetric efficiency, percentage generally take 90%~96%.
3. a kind of diagonal pumps spatial guide blade optimum design method according to claim 1, which is characterized in that diagonal pumps space
The outlet laying angle α of guide vane4, it is contemplated that limited number of blade influence should be greater than 90 °, to guarantee that liquid stream normal direction exports, generally take α4=
90°.But if it is desired to which negative characteristic, can be calculated as follows:
α4=43.56ns 0.1058
(7)
4. a kind of diagonal pumps spatial guide blade optimum design method according to claim 1, which is characterized in that diagonal pumps space
The angle of flare of guide vane is certain value, geometric parameter guide vane corneriteMeet following relationship:
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CN201811254069.1A CN109508481B (en) | 2018-10-25 | 2018-10-25 | Diagonal flow pump space guide vane optimization design method |
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CN109508481B CN109508481B (en) | 2023-05-23 |
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Citations (5)
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---|---|---|---|---|
JP2009079547A (en) * | 2007-09-26 | 2009-04-16 | Hitachi Plant Technologies Ltd | Mixed flow pump |
JP2012149649A (en) * | 2012-04-23 | 2012-08-09 | Mizota Corp | Axial flow pump or mixed flow pump |
CN103032370A (en) * | 2013-01-04 | 2013-04-10 | 江苏大学 | Efficient asymmetric guide blade body matched with annular pumping chamber |
CN104533829A (en) * | 2014-11-26 | 2015-04-22 | 江苏大学 | Diagonal flow pump impeller hydraulic design method |
CN105485057A (en) * | 2015-12-25 | 2016-04-13 | 江苏大学 | Hydraulic design method of radial guide blade of diagonal flow pump |
-
2018
- 2018-10-25 CN CN201811254069.1A patent/CN109508481B/en active Active
Patent Citations (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP2009079547A (en) * | 2007-09-26 | 2009-04-16 | Hitachi Plant Technologies Ltd | Mixed flow pump |
JP2012149649A (en) * | 2012-04-23 | 2012-08-09 | Mizota Corp | Axial flow pump or mixed flow pump |
CN103032370A (en) * | 2013-01-04 | 2013-04-10 | 江苏大学 | Efficient asymmetric guide blade body matched with annular pumping chamber |
CN104533829A (en) * | 2014-11-26 | 2015-04-22 | 江苏大学 | Diagonal flow pump impeller hydraulic design method |
CN105485057A (en) * | 2015-12-25 | 2016-04-13 | 江苏大学 | Hydraulic design method of radial guide blade of diagonal flow pump |
Non-Patent Citations (3)
Title |
---|
朱文瑞: "叶片进口修圆对斜流泵性能影响的CFD 分析", 《中国农村水利水电》 * |
李伟: "导叶式混流泵多工况内部流场的PIV测量", 《农业工程学报》 * |
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