CN106089569A - A kind of Miniature Wind Turbine Blades aerofoil profile being applicable to low reynolds number flow - Google Patents

A kind of Miniature Wind Turbine Blades aerofoil profile being applicable to low reynolds number flow Download PDF

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Publication number
CN106089569A
CN106089569A CN201610574455.3A CN201610574455A CN106089569A CN 106089569 A CN106089569 A CN 106089569A CN 201610574455 A CN201610574455 A CN 201610574455A CN 106089569 A CN106089569 A CN 106089569A
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aerofoil profile
wind turbine
chord length
sequence number
reynolds number
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唐新姿
黄轩晴
彭锐涛
孙松峰
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Xiangtan University
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Xiangtan University
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    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F03—MACHINES OR ENGINES FOR LIQUIDS; WIND, SPRING, OR WEIGHT MOTORS; PRODUCING MECHANICAL POWER OR A REACTIVE PROPULSIVE THRUST, NOT OTHERWISE PROVIDED FOR
    • F03D—WIND MOTORS
    • F03D1/00—Wind motors with rotation axis substantially parallel to the air flow entering the rotor 
    • F03D1/06—Rotors
    • F03D1/0608—Rotors characterised by their aerodynamic shape
    • F03D1/0633—Rotors characterised by their aerodynamic shape of the blades
    • F03D1/0641—Rotors characterised by their aerodynamic shape of the blades of the section profile of the blades, i.e. aerofoil profile
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E10/00—Energy generation through renewable energy sources
    • Y02E10/70—Wind energy
    • Y02E10/72—Wind turbines with rotation axis in wind direction

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Fluid Mechanics (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Sustainable Development (AREA)
  • Sustainable Energy (AREA)
  • Chemical & Material Sciences (AREA)
  • Combustion & Propulsion (AREA)
  • Mechanical Engineering (AREA)
  • General Engineering & Computer Science (AREA)
  • Wind Motors (AREA)

Abstract

The invention discloses a kind of Miniature Wind Turbine Blades aerofoil profile being applicable to low reynolds number flow, belong to wind-driven generator blade wing section design field.The maximum gauge of this wind-driven generator blade wing section is the 12%～15% of chord length, maximum gauge position and distance is chord length 35.9%～the 40.7% of leading edge, maximum camber is the 3.1%～4.3% of chord length, maximum camber position and distance is chord length 36.0%～the 44.3% of leading edge, the power≤10KW of described small wind turbine.The Miniature Wind Turbine Blades aerofoil profile of the present invention has higher lift coefficient and bigger lift-drag ratio under low reynolds number flow, can improve small wind turbine wind energy utilization efficiency, is more suitable for the small wind turbine application of China's low wind speed region.

Description

A kind of Miniature Wind Turbine Blades aerofoil profile being applicable to low reynolds number flow
Technical field
The invention belongs to wind-driven generator blade wing section design field, be specifically related to one and be applicable to Reynolds number ＜ 106Flowing Miniature Wind Turbine Blades aerofoil profile, the power≤10KW of this small wind turbine.
Background technology
Along with international energy problem becomes increasingly conspicuous and the enhancing of environmental consciousness in world wide, wind power technology industry is rapid Development, particularly large scale wind equipment and oceanic winds Lixing industry has been provided with sizable development scale.And small wind turbine is sent out Exhibition is relatively slow, and it is the weakest that this is primarily due to blade aerodynamic design link.
At present, China's Miniature Wind Turbine Blades research is still in the starting stage, the small wind turbine leaf of part manufacturer production Sheet relies primarily on imitated shaping, seldom has the autonomous blade design technology of small wind turbine.Region residing for small wind turbine Work wind speed range, blade dimensions far away not as good as large scale wind power machine or ocean ultra-large type wind energy conversion system, blade air Reynolds number is not It is same as large scale wind power machine, uses the mode of imitated blade or scale model blade will drastically be deteriorated by the aeroperformance making blade, The problem such as cause that wind energy utilization efficiency is low and the suitability is limited.It is little that Miniature Wind Turbine Blades aerofoil profile pneumatic design has become as China Type wind-powered electricity generation industry development problem urgently to be resolved hurrily.
Summary of the invention
It is desirable to provide one is applicable to Reynolds number ＜ 106The Miniature Wind Turbine Blades aerofoil profile of flowing so that it is low Under Reynolds number flowing, there is higher lift coefficient and bigger lift-drag ratio, improve that small wind turbine wind energy utilization efficiency is low etc. asks Topic.
For achieving the above object, technical scheme is as follows:
A kind of Miniature Wind Turbine Blades aerofoil profile being applicable to low reynolds number flow, by top airfoil, lower aerofoil, leading edge and trailing edge Composition, the maximum gauge of described aerofoil profile is the 12%～15% of chord length, and maximum gauge position is chord length with the distance of leading edge 35.9%～40.7%, maximum camber is the 3.1%～4.3% of chord length, and maximum camber position is chord length with the distance of leading edge 36.0%～44.3%；Power≤the 10KW of described small wind turbine.
Described Miniature Wind Turbine Blades aerofoil profile is at Reynolds number ＜ 106Application in flowing.
The beneficial effects of the present invention is:
The present invention is applicable to Reynolds number ＜ 106The Miniature Wind Turbine Blades aerofoil profile of flowing, compared with standard aerofoil profile, has Higher lift (improve more than 21% compared with standard aerofoil profile) and bigger lift-drag ratio (improve compared with standard aerofoil profile More than 41%).The Miniature Wind Turbine Blades aerofoil profile of the present invention can be obviously improved that small wind turbine wind energy utilization efficiency is low etc. asks Topic.
Accompanying drawing explanation
Fig. 1 is the profile schematic diagram of the Miniature Wind Turbine Blades aerofoil profile being applicable to low reynolds number flow of the present invention.
Fig. 2 be the present invention the first aerofoil profile (maximum gauge is chord length 12%) and standard aerofoil profile low reynolds number Re=5 × 105, angle of attack lift coefficient curve comparison figure when being-2～13 °.
Fig. 3 be the present invention the first aerofoil profile (maximum gauge is chord length 12%) and standard aerofoil profile low reynolds number Re=5 × 105, angle of attack lift-drag ratio curve comparison figure when being-2～13 °.
Fig. 4 be the present invention the second aerofoil profile (maximum gauge is chord length 13%) and standard aerofoil profile low reynolds number Re=5 × 105, angle of attack lift coefficient curve comparison figure when being-2～13 °.
Fig. 5 is that wind energy conversion system the second aerofoil profile (maximum gauge is chord length 13%) and the standard aerofoil profile of the present invention are at low reynolds number Re =5 × 105, angle of attack lift-drag ratio curve comparison figure when being-2～13 °.
Fig. 6 be the present invention the 3rd aerofoil profile (maximum gauge is chord length 15%) and standard aerofoil profile low reynolds number Re=5 × 105, angle of attack lift coefficient curve comparison figure when being-2～13 °.
Fig. 7 be the present invention the 3rd aerofoil profile (maximum gauge is chord length 15%) and standard aerofoil profile low reynolds number Re=5 × 105, angle of attack lift-drag ratio curve comparison figure when being-2～13 °.
Detailed description of the invention
Below in conjunction with the accompanying drawings, the detailed description of the invention of the present invention is described in further detail.
As it is shown in figure 1, the present invention's is applicable to Reynolds number ＜ 106Flowing Miniature Wind Turbine Blades aerofoil profile by top airfoil, Lower aerofoil, leading edge and trailing edge composition, the maximum gauge of this aerofoil profile is the 12%～15% of chord length, at maximum gauge with leading edge away from From for the 35.9%～40.7% of chord length, maximum camber is the 3.1%～4.3% of chord length, with the distance of leading edge at maximum camber For chord length 36.0%～44.3%.
Embodiment 1
The first aerofoil profile maximum gauge of the present invention is the 12% of chord length, and at maximum gauge, the distance with leading edge is chord length 35.9%, maximum camber is the 3.1% of chord length, with distance is chord length the 36.0% of leading edge at maximum camber.
The top airfoil of first aerofoil profile of the present invention and the dimensionless two-dimensional coordinate of lower aerofoil are respectively as shown in table 1a and table 1b.
The top airfoil of table 1a the first aerofoil profile
Wherein, x/c value represent on airfoil camber certain point on string of a musical instrument direction relative to the position of leading edge, the expression of y/c value from The string of a musical instrument is to the height of certain point on Curve of wing.
The lower aerofoil of table 1b the first aerofoil profile
Sequence number x/c y/c Sequence number x/c y/c Sequence number x/c y/c
1 0 0 21 0.16501 -0.02554 41 0.85033 -0.01077
2 0.00009 -0.0008 22 0.19736 -0.02701 42 0.88673 -0.00843
3 0.00023 -0.00109 23 0.22958 -0.02797 43 0.91917 -0.00626
4 0.00042 -0.00149 24 0.26186 -0.02869 44 0.94234 -0.00469
5 0.00067 -0.00187 25 0.29414 -0.02928 45 0.95889 -0.00357
6 0.00103 -0.00234 26 0.32642 -0.02942 46 0.97071 -0.00256
7 0.00154 -0.00278 27 0.35871 -0.02927 47 0.97916 -0.00184
8 0.00225 -0.00339 28 0.39099 -0.02888 48 0.98519 -0.00132
9 0.00325 -0.00413 29 0.42327 -0.02832 49 0.9895 -0.00094
10 0.00464 -0.0049 30 0.45556 -0.02763 50 0.99257 -0.00066
11 0.00658 -0.00587 31 0.48784 -0.02682 51 0.99477 -0.00048
12 0.00931 -0.00696 32 0.52269 -0.02592 52 0.99634 -0.00033
13 0.01313 -0.00821 33 0.5591 -0.02489 53 0.99747 -0.00023
14 0.01848 -0.00967 34 0.5955 -0.02362 54 0.99827 -0.00016
15 0.02597 -0.01131 35 0.6319 -0.02224 55 0.99883 -0.0001
16 0.03645 -0.01341 36 0.66831 -0.02073 56 0.99924 -0.00007
17 0.05113 -0.01569 37 0.70471 -0.01898 57 0.99953 -0.00005
18 0.07168 -0.01822 38 0.74112 -0.01715 58 0.99974 -0.00002
19 0.10044 -0.02112 39 0.77752 -0.01513 59 0.99989 -0.00001
20 0.13273 -0.0236 40 0.81393 -0.01299 60 1 0
As in figure 2 it is shown, in low reynolds number Re=5 × 105Time, first aerofoil profile of the present invention has maximum at 12 ° of angles of attack Lift coefficient 1.15, improves about 21% than standard aerofoil profile maximum lift coefficient.
As it is shown on figure 3, in low reynolds number Re=5 × 105Time, first aerofoil profile of the present invention has at 7 ° of angles of attack and rises higher most Resistance ratio 111.39, improves about 41% than standard aerofoil profile maximum lift-drag ratio.
Embodiment 2
The second aerofoil profile maximum gauge of the present invention is the 13% of chord length, and at maximum gauge, the distance with leading edge is chord length 38.0%, maximum camber is the 3.6% of chord length, with distance is chord length the 41.4% of leading edge at maximum camber.
The top airfoil of second aerofoil profile of the present invention and the dimensionless two-dimensional coordinate of lower aerofoil are respectively as shown in table 2a and table 2b.
The top airfoil of table 2a the second aerofoil profile
Sequence number x/c y/c Sequence number x/c y/c Sequence number x/c y/c
1 0 0 21 0.17491 0.07859 41 0.85931 0.02818
2 0.0001 0.00055 22 0.2092 0.08505 42 0.89353 0.02173
3 0.00024 0.00131 23 0.24335 0.09016 43 0.92402 0.01557
4 0.00044 0.00238 24 0.27757 0.09425 44 0.9458 0.01089
5 0.00071 0.00387 25 0.31179 0.09741 45 0.96136 0.00746
6 0.00109 0.00458 26 0.34601 0.09968 46 0.97247 0.00508
7 0.00163 0.00558 27 0.38023 0.10101 47 0.98041 0.00345
8 0.00239 0.007 28 0.41445 0.10119 48 0.98608 0.0023
9 0.00344 0.00879 29 0.44867 0.1002 49 0.99013 0.00156
10 0.00492 0.01063 30 0.48289 0.0974 50 0.99302 0.00107
11 0.00698 0.01291 31 0.51711 0.09281 51 0.99508 0.00072
12 0.00987 0.01583 32 0.55133 0.08676 52 0.99656 0.0005
13 0.01392 0.01938 33 0.58555 0.0801 53 0.99762 0.00034
14 0.01959 0.02368 34 0.61977 0.07334 54 0.99837 0.00023
15 0.02753 0.0289 35 0.65399 0.06662 55 0.9989 0.00016
16 0.03864 0.03515 36 0.68821 0.05998 56 0.99929 0.0001
17 0.0542 0.04255 37 0.72243 0.05342 57 0.99956 0.00006
18 0.07598 0.05142 38 0.75665 0.047 58 0.99976 0.00004
19 0.10647 0.06154 39 0.79087 0.04068 59 0.9999 0.00001
20 0.14069 0.07085 40 0.82509 0.03443 60 1 0
The lower aerofoil of table 2b the second aerofoil profile
As shown in Figure 4, in low reynolds number Re=5 × 105Time, second aerofoil profile of the present invention has at 8 ° of angles of attack and rises higher most Force coefficient 1.16, improves about 23% than standard aerofoil profile maximum lift coefficient.
As it is shown in figure 5, in low reynolds number Re=5 × 105Time, second aerofoil profile of the present invention has at 7 ° of angles of attack and rises higher most Resistance ratio 121.69, improves about 54% than standard aerofoil profile maximum lift-drag ratio.
Embodiment 3
The cross section aerofoil profile maximum gauge of the 3rd aerofoil profile of the present invention is the 15% of chord length, at maximum gauge with leading edge away from From for the 40.7% of chord length, maximum camber is the 4.3% of chord length, with distance is chord length the 44.3% of leading edge at maximum camber.
The top airfoil of the 3rd aerofoil profile of the present invention and the dimensionless two-dimensional coordinate of lower aerofoil are respectively as shown in table 3a and table 3b.
The top airfoil of table 3a the 3rd aerofoil profile
The lower aerofoil of table 3b the 3rd aerofoil profile
Sequence number x/c y/c Sequence number x/c y/c Sequence number x/c y/c
1 0 0 21 0.18711 -0.02685 41 0.86671 -0.01055
2 0.00011 -0.0011 22 0.2238 -0.02847 42 0.89913 -0.00837
3 0.00026 -0.00162 23 0.26033 -0.02991 43 0.92802 -0.00626
4 0.00047 -0.00234 24 0.29694 -0.03101 44 0.94865 -0.00468
5 0.00076 -0.00314 25 0.33354 -0.03195 45 0.96339 -0.00354
6 0.00117 -0.00383 26 0.37015 -0.03234 46 0.97392 -0.00248
7 0.00174 -0.00453 27 0.40676 -0.03239 47 0.98144 -0.00174
8 0.00256 -0.0055 28 0.44337 -0.03211 48 0.98681 -0.00122
9 0.00368 -0.00668 29 0.47769 -0.03158 49 0.99065 -0.00086
10 0.00526 -0.00782 30 0.51011 -0.03067 50 0.99339 -0.0006
11 0.00747 -0.00922 31 0.54253 -0.02938 51 0.99534 -0.00042
12 0.01056 -0.01079 32 0.57494 -0.0278 52 0.99674 -0.00029
13 0.01489 -0.0125 33 0.60736 -0.02607 53 0.99775 -0.0002
14 0.02096 -0.01438 34 0.63978 -0.0242 54 0.99846 -0.00014
15 0.02945 -0.01632 35 0.6722 -0.02236 55 0.99896 -0.00009
16 0.04134 -0.01856 36 0.70462 -0.02053 56 0.99933 -0.00006
17 0.05798 -0.02062 37 0.73704 -0.01856 57 0.99958 -0.00004
18 0.08128 -0.02248 38 0.76946 -0.01665 58 0.99977 -0.00002
19 0.1139 -0.02421 39 0.80188 -0.01464 59 0.99991 -0.00001
20 0.15051 -0.02551 40 0.8343 -0.01261 60 1 0
As shown in Figure 6, in low reynolds number Re=5 × 105Time, the 3rd aerofoil profile of the present invention has maximum at 10 ° of angles of attack Lift coefficient 1.22, improves about 29% than standard aerofoil profile maximum lift coefficient.
As it is shown in fig. 7, in low reynolds number Re=5 × 105Time, the 3rd aerofoil profile of the present invention has at 7 ° of angles of attack and rises higher most Resistance ratio 116.57, improves about 48% than standard aerofoil profile maximum lift-drag ratio.
In sum, the aerofoil profile of the present invention, compared with standard aerofoil profile, has following features, at low reynolds number (general Reynolds Number ＜ 106) there is higher lift coefficient and bigger lift-drag ratio under flowing, compensate for existing standard aerofoil profile in low reynolds number work Deficiency in terms of condition apparatus for lower wind machine aeroperformance.The aerofoil profile of the present invention can significantly improve small wind turbine wind energy utilization efficiency, It is more suitable for the small wind turbine application of China's low wind speed region.

Claims (5)

1. it is applicable to a Miniature Wind Turbine Blades aerofoil profile for low reynolds number flow, by top airfoil, lower aerofoil, leading edge and trailing edge group Become, it is characterised in that:
The maximum gauge of described aerofoil profile is the 12%～15% of chord length, and maximum gauge position is chord length with the distance of leading edge 35.9%～40.7%, maximum camber is the 3.1%～4.3% of chord length, and maximum camber position is chord length with the distance of leading edge 36.0%～44.3%；
Power≤the 10KW of described small wind turbine.
Miniature Wind Turbine Blades aerofoil profile the most according to claim 1, it is characterised in that:
Coordinate corresponding to the top airfoil of described aerofoil profile and lower aerofoil is:
Top airfoil:
Sequence Number x/c y/c Sequence number x/c y/c Sequence number x/c y/c 1 0 0 21 0.16501 0.07286 41 0.85033 0.02427 2 0.00009 0.00055 22 0.19736 0.07838 42 0.88673 0.01874 3 0.00023 0.0013 23 0.22958 0.08265 43 0.91917 0.01342 4 0.00042 0.00236 24 0.26186 0.08601 44 0.94234 0.00935 5 0.00067 0.00385 25 0.29414 0.08855 45 0.95889 0.00636 6 0.00103 0.00454 26 0.32642 0.09033 46 0.97071 0.00429 7 0.00154 0.00552 27 0.35871 0.09131 47 0.97916 0.00289 8 0.00225 0.00692 28 0.39099 0.09127 48 0.98519 0.0019 9 0.00325 0.00867 29 0.42327 0.0902 49 0.9895 0.00128 10 0.00464 0.01046 30 0.45556 0.08744 50 0.99257 0.00087 11 0.00658 0.01267 31 0.48784 0.08299 51 0.99477 0.00058 12 0.00931 0.01549 32 0.52269 0.07718 52 0.99634 0.0004 13 0.01313 0.01889 33 0.5591 0.07084 53 0.99747 0.00027 14 0.01848 0.023 34 0.5955 0.06449 54 0.99827 0.00018 15 0.02597 0.02794 35 0.6319 0.05827 55 0.99883 0.00013 16 0.03645 0.03381 36 0.66831 0.05221 56 0.99924 0.00008 17 0.05113 0.04067 37 0.70471 0.0463 57 0.99953 0.00005 18 0.07168 0.0488 38 0.74112 0.0406 58 0.99974 0.00003 19 0.10044 0.05791 39 0.77752 0.03506 59 0.99989 0.00001 20 0.13273 0.06613 40 0.81393 0.02964 60 1 0
Lower aerofoil:
Miniature Wind Turbine Blades aerofoil profile the most according to claim 1, it is characterised in that:
Coordinate corresponding to the top airfoil of described aerofoil profile and lower aerofoil is:
Top airfoil:
Sequence Number x/c y/c Sequence number x/c y/c Sequence number x/c y/c 1 0 0 21 0.17491 0.07859 41 0.85931 0.02818 2 0.0001 0.00055 22 0.2092 0.08505 42 0.89353 0.02173 3 0.00024 0.00131 23 0.24335 0.09016 43 0.92402 0.01557 4 0.00044 0.00238 24 0.27757 0.09425 44 0.9458 0.01089 5 0.00071 0.00387 25 0.31179 0.09741 45 0.96136 0.00746 6 0.00109 0.00458 26 0.34601 0.09968 46 0.97247 0.00508 7 0.00163 0.00558 27 0.38023 0.10101 47 0.98041 0.00345 8 0.00239 0.007 28 0.41445 0.10119 48 0.98608 0.0023 9 0.00344 0.00879 29 0.44867 0.1002 49 0.99013 0.00156 10 0.00492 0.01063 30 0.48289 0.0974 50 0.99302 0.00107 11 0.00698 0.01291 31 0.51711 0.09281 51 0.99508 0.00072 12 0.00987 0.01583 32 0.55133 0.08676 52 0.99656 0.0005 13 0.01392 0.01938 33 0.58555 0.0801 53 0.99762 0.00034 14 0.01959 0.02368 34 0.61977 0.07334 54 0.99837 0.00023 15 0.02753 0.0289 35 0.65399 0.06662 55 0.9989 0.00016 16 0.03864 0.03515 36 0.68821 0.05998 56 0.99929 0.0001 17 0.0542 0.04255 37 0.72243 0.05342 57 0.99956 0.00006 18 0.07598 0.05142 38 0.75665 0.047 58 0.99976 0.00004 19 0.10647 0.06154 39 0.79087 0.04068 59 0.9999 0.00001 20 0.14069 0.07085 40 0.82509 0.03443 60 1 0
Lower aerofoil:
Miniature Wind Turbine Blades aerofoil profile the most according to claim 1, it is characterised in that:
Coordinate corresponding to the top airfoil of described aerofoil profile and lower aerofoil is:
Top airfoil:
Sequence Number x/c y/c Sequence number x/c y/c Sequence number x/c y/c 1 0 0 21 0.18711 0.09549 41 0.86671 0.03301 2 0.00011 0.00056 22 0.2238 0.10255 42 0.89913 0.02541 3 0.00026 0.00134 23 0.26033 0.10762 43 0.92802 0.0182 4 0.00047 0.00244 24 0.29694 0.11159 44 0.94865 0.01277 5 0.00076 0.00396 25 0.33354 0.11455 45 0.96339 0.0088 6 0.00117 0.00472 26 0.37015 0.11654 46 0.97392 0.00604 7 0.00174 0.00579 27 0.40676 0.11752 47 0.98144 0.00413 8 0.00256 0.00731 28 0.44337 0.11726 48 0.98681 0.00278 9 0.00368 0.00924 29 0.47769 0.11577 49 0.99065 0.0019 10 0.00526 0.01127 30 0.51011 0.11239 50 0.99339 0.00131 11 0.00747 0.01382 31 0.54253 0.10715 51 0.99534 0.00089 12 0.01056 0.01712 32 0.57494 0.10038 52 0.99674 0.00062 13 0.01489 0.0212 33 0.60736 0.09294 53 0.99775 0.00042 14 0.02096 0.02624 34 0.63978 0.08535 54 0.99846 0.00029 15 0.02945 0.03248 35 0.6722 0.07773 55 0.99896 0.0002 16 0.04134 0.04014 36 0.70462 0.07015 56 0.99933 0.00012 17 0.05798 0.04945 37 0.73704 0.0626 57 0.99958 0.00008 18 0.08128 0.06084 38 0.76946 0.05514 58 0.99977 0.00005 19 0.1139 0.07405 39 0.80188 0.04775 59 0.99991 0.00001 20 0.15051 0.08605 40 0.8343 0.04039 60 1 0
Lower aerofoil:
Sequence Number x/c y/c Sequence number x/c y/c Sequence number x/c y/c 1 0 0 21 0.18711 -0.02685 41 0.86671 -0.01055 2 0.00011 -0.0011 22 0.2238 -0.02847 42 0.89913 -0.00837 3 0.00026 -0.00162 23 0.26033 -0.02991 43 0.92802 -0.00626 4 0.00047 -0.00234 24 0.29694 -0.03101 44 0.94865 -0.00468 5 0.00076 -0.00314 25 0.33354 -0.03195 45 0.96339 -0.00354 6 0.00117 -0.00383 26 0.37015 -0.03234 46 0.97392 -0.00248 7 0.00174 -0.00453 27 0.40676 -0.03239 47 0.98144 -0.00174 8 0.00256 -0.0055 28 0.44337 -0.03211 48 0.98681 -0.00122 9 0.00368 -0.00668 29 0.47769 -0.03158 49 0.99065 -0.00086 10 0.00526 -0.00782 30 0.51011 -0.03067 50 0.99339 -0.0006 11 0.00747 -0.00922 31 0.54253 -0.02938 51 0.99534 -0.00042 12 0.01056 -0.01079 32 0.57494 -0.0278 52 0.99674 -0.00029 13 0.01489 -0.0125 33 0.60736 -0.02607 53 0.99775 -0.0002 14 0.02096 -0.01438 34 0.63978 -0.0242 54 0.99846 -0.00014 15 0.02945 -0.01632 35 0.6722 -0.02236 55 0.99896 -0.00009 16 0.04134 -0.01856 36 0.70462 -0.02053 56 0.99933 -0.00006 17 0.05798 -0.02062 37 0.73704 -0.01856 57 0.99958 -0.00004 18 0.08128 -0.02248 38 0.76946 -0.01665 58 0.99977 -0.00002 19 0.1139 -0.02421 39 0.80188 -0.01464 59 0.99991 -0.00001 20 0.15051 -0.02551 40 0.8343 -0.01261 60 1 0
5. according to the Miniature Wind Turbine Blades aerofoil profile described in any one of claim 1-4 at Reynolds number ＜ 106Application in flowing.
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CN110985285A (en) * 2019-11-21 2020-04-10 广东海洋大学 Vertical axis wind turbine blade, vertical axis wind wheel and vertical axis wind turbine
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