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CN110985285B - Vertical axis wind turbine blade, vertical axis wind wheel and vertical axis wind turbine - Google Patents

Vertical axis wind turbine blade, vertical axis wind wheel and vertical axis wind turbine Download PDF

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Publication number
CN110985285B
CN110985285B CN201911171541.XA CN201911171541A CN110985285B CN 110985285 B CN110985285 B CN 110985285B CN 201911171541 A CN201911171541 A CN 201911171541A CN 110985285 B CN110985285 B CN 110985285B
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airfoil
axis wind
wind turbine
vertical axis
turbine blade
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CN110985285A (en
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吴友健
杨艺
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Guangdong Ocean University
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Guangdong Ocean 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
    • F03D3/00—Wind motors with rotation axis substantially perpendicular to the air flow entering the rotor 
    • F03D3/06—Rotors
    • F03D3/062—Rotors characterised by their construction elements
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F05—INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
    • F05B—INDEXING SCHEME RELATING TO WIND, SPRING, WEIGHT, INERTIA OR LIKE MOTORS, TO MACHINES OR ENGINES FOR LIQUIDS COVERED BY SUBCLASSES F03B, F03D AND F03G
    • F05B2240/00—Components
    • F05B2240/20—Rotors
    • F05B2240/30—Characteristics of rotor blades, i.e. of any element transforming dynamic fluid energy to or from rotational energy and being attached to a rotor
    • 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
    • Y02E10/74—Wind turbines with rotation axis perpendicular to the wind direction

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  • Engineering & Computer Science (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 application provides a vertical axis wind turbine blade, a vertical axis wind wheel and a vertical axis wind turbine, wherein the vertical axis wind turbine blade is provided with a vertical axis wind turbine blade wing profile applicable to medium and high Reynolds number working conditions, and the maximum thickness of the wing profile is 12% -13% of the chord length of the wing profile; the distance between the maximum thickness position of the airfoil and the front edge of the airfoil is 25% -31% of the chord length of the airfoil; the maximum camber of the wing profile is 5.5% -8% of the chord length of the wing profile; the distance between the maximum camber position of the wing profile and the front edge of the wing profile is 35% -40% of the chord length of the wing profile. According to the vertical-axis wind turbine blade, the vertical-axis wind wheel and the vertical-axis wind turbine, the vertical-axis wind turbine blade is provided with the vertical-axis wind turbine blade wing profile applicable to the medium-high Reynolds number working conditions, and the wing profile has higher lift coefficient and lift-drag ratio under the medium-high Reynolds number working conditions, so that the chord length of the vertical-axis wind turbine blade can be reduced, the load of the vertical-axis wind turbine with the vertical-axis wind turbine blade is further reduced, and the wind energy utilization rate of the vertical-axis wind turbine is higher.

Description

Vertical axis wind turbine blade, vertical axis wind wheel and vertical axis wind turbine
Technical Field
The application relates to the technical field of wind turbines, in particular to a vertical axis wind turbine blade, a vertical axis wind wheel and a vertical axis wind turbine.
Background
Wind turbines, i.e. wind turbines, are mainly divided into two types, horizontal and vertical axes. Among these two types of wind turbines, the vertical axis wind turbine is paid attention to because it has advantages such as no yaw device, high wind energy utilization rate, and the like.
Wind power is captured by the wind turbine by virtue of the blades, the blades are the most important component parts of the whole wind turbine, and the power generation efficiency of the wind turbine is directly influenced by the aerodynamic performance of the wing profile of the blades.
Currently, the blade airfoils commonly used for wind turbines are mainly the DU series in the netherlands, the W series in the FFA in sweden and the S series in the NREL in the united states, but these blade airfoils have been developed mainly for horizontal axis wind turbines; in the aspect of vertical axis wind turbines, the blade airfoil mainly adopts the NACA series in the United states, the NACA series blade airfoil comprises two symmetrical airfoils and asymmetrical airfoils, the asymmetrical airfoils are widely applied because the lift force characteristics of the asymmetrical airfoils are better than those of the symmetrical airfoils, but the lift force coefficient and lift-drag ratio of the NACA series asymmetrical airfoils are still lower in the range of medium and high Reynolds numbers, so that the wind turbine has insufficient wind energy utilization rate.
Disclosure of Invention
The embodiment of the application aims to provide a vertical-axis wind turbine blade, a vertical-axis wind wheel and a vertical-axis wind turbine, wherein the vertical-axis wind turbine blade is provided with a vertical-axis wind turbine blade wing profile suitable for medium and high Reynolds number working conditions, and the wing profile has higher lift coefficient and lift-drag ratio under the medium and high Reynolds number working conditions, so that the chord length of the vertical-axis wind turbine blade can be reduced, the load of the vertical-axis wind turbine applying the vertical-axis wind turbine blade is further reduced, and the utilization rate of the vertical-axis wind turbine applying the vertical-axis wind turbine blade to wind energy is higher.
In a first aspect, embodiments of the present application provide a vertical axis wind turbine blade employing a vertical axis wind turbine blade airfoil adapted for medium and high Reynolds number conditions, the airfoil having an upper airfoil surface, a lower airfoil surface, a leading edge and a trailing edge,
The maximum thickness of the airfoil is 12% -13% of the chord length of the airfoil;
the distance between the maximum thickness position of the airfoil and the front edge of the airfoil is 25% -31% of the chord length of the airfoil;
the maximum camber of the airfoil is 5.5% -8% of the chord length of the airfoil;
The distance between the maximum camber position of the airfoil and the front edge of the airfoil is 35% -40% of the chord length of the airfoil.
In the implementation process, the vertical axis wind turbine blade of the embodiment of the application is applied to the vertical axis wind turbine blade wing profile suitable for the medium and high Reynolds number working conditions, and the value ranges of four parameters including the maximum thickness of the wing profile, the distance between the maximum thickness position and the front edge, the maximum camber and the distance between the maximum camber position and the front edge are limited, so that the wing profile has higher lift coefficient and lift-drag ratio under the medium and high Reynolds number working conditions, the chord length size of the vertical axis wind turbine blade can be reduced, the load of the vertical axis wind turbine applying the vertical axis wind turbine blade is further reduced, the wind energy utilization rate of the vertical axis wind turbine applying the vertical axis wind turbine blade is higher, the lift-drag ratio of the wing profile is more gentle in the stall state, the self-vibration caused by the rapid change of the pneumatic characteristics of the vertical axis wind turbine blade during the operation of the vertical axis wind turbine blade is avoided, and the service life of the vertical axis wind turbine blade is prolonged.
Further, the airfoil includes a first airfoil,
The maximum thickness of the first airfoil is 12.62% of the chord length of the first airfoil;
the distance between the maximum thickness position of the first airfoil and the leading edge of the first airfoil is 29.4% of the chord length of the first airfoil;
the maximum camber of the first airfoil is 6.57% of the chord length of the first airfoil;
The distance between the maximum camber position of the first airfoil and the leading edge of the first airfoil is 39.2% of the chord length of the first airfoil.
In the implementation process, the first airfoil has better lift coefficient and lift-drag ratio under the working conditions of medium and high Reynolds numbers, so that the chord length of the vertical axis wind turbine blade can be reduced, the load of the vertical axis wind turbine applying the vertical axis wind turbine blade is further reduced, and the utilization rate of the vertical axis wind turbine applying the vertical axis wind turbine blade to wind energy is better.
Further, the airfoil includes a second airfoil,
The maximum thickness of the second airfoil is 12.62% of the chord length of the second airfoil;
The distance between the maximum thickness position of the second airfoil and the leading edge of the second airfoil is 26.7% of the chord length of the second airfoil;
The maximum camber of the second airfoil is 7.16% of the chord length of the second airfoil;
The distance between the maximum camber position of the second airfoil and the leading edge of the second airfoil is 35.7% of the chord length of the second airfoil.
In the implementation process, the second airfoil has better lift coefficient and lift-drag ratio under the working conditions of medium and high Reynolds numbers, so that the chord length of the vertical axis wind turbine blade can be reduced, the load of the vertical axis wind turbine applying the vertical axis wind turbine blade is further reduced, and the utilization rate of the vertical axis wind turbine applying the vertical axis wind turbine blade to wind energy is better.
Further, the geometric profile of the upper airfoil of the first airfoil satisfies the following mathematical expression:
y＝0.00499+2.20x-26.22x2+190.28x3-804.59x4+2034.52x5-3129.47x6+2868.997x7-1440.47x8+304.73x9,
wherein x is the abscissa of the upper airfoil surface of the first airfoil on the dimensionless two-dimensional coordinate system, and y is the ordinate of the upper airfoil surface of the first airfoil on the dimensionless two-dimensional coordinate system.
In the implementation, the geometric profile of the upper airfoil surface of the first airfoil determined by the above mathematical expression is a preferred geometric profile of the upper airfoil surface of the first airfoil.
Further, the geometric profile of the first airfoil lower airfoil satisfies the following mathematical expression:
y＝-9.4-0.44x+6.68x2-46.63x3+189.12x4-468.23x5+713.53x6-651.66x7+326.63x8-69x9,
wherein x is the abscissa of the lower airfoil surface of the first airfoil on a dimensionless two-dimensional coordinate system, and y is the ordinate of the lower airfoil surface of the first airfoil on the dimensionless two-dimensional coordinate system.
In the above implementation, the geometric profile of the first airfoil lower airfoil determined by the above mathematical expression is a preferred geometric profile of the first airfoil lower airfoil.
Further, the geometric profile of the upper airfoil of the second airfoil satisfies the following mathematical expression:
y＝0.00519+2.3x-27.18x2+197.27x3-835.83x4+2113.69x5-3245.37x6+2966.74x7-1484.72x8+313.09x9,
wherein x is the abscissa of the second airfoil upper surface on the dimensionless two-dimensional coordinate system, and y is the ordinate of the second airfoil upper surface on the dimensionless two-dimensional coordinate system.
In the implementation, the geometric profile of the second airfoil upper surface determined by the above mathematical expression is a preferred geometric profile of the second airfoil upper surface.
Further, the geometric profile of the second airfoil lower airfoil satisfies the following mathematical expression:
y＝-0.0011-0.43x+7.05x2-49.56x3+201.10x4-498.41x5+761.11x6-697x7+350.39x8-74.24x9,
wherein x is the abscissa of the second airfoil lower airfoil surface on a dimensionless two-dimensional coordinate system, and y is the ordinate of the second airfoil lower airfoil surface on the dimensionless two-dimensional coordinate system.
In the above implementation, the geometric profile of the second airfoil lower airfoil determined by the above mathematical expression is a preferred geometric profile of the second airfoil lower airfoil.
Further, the medium and high reynolds numbers range from 7×10 5～15×105.
In the implementation process, the range of medium and high Reynolds numbers is suitable for the working condition of the wing type, and the lift coefficient and lift-drag ratio of the wing type are high under the working condition of the medium and high Reynolds numbers.
In a second aspect, an embodiment of the present application provides a vertical axis wind turbine blade comprising the vertical axis wind turbine blade described above.
In the implementation process, the vertical-axis wind wheel provided by the embodiment of the application is applied with the vertical-axis wind turbine blade, the vertical-axis wind turbine blade is applied with the vertical-axis wind turbine blade wing profile suitable for the medium and high Reynolds number working conditions, and the wing profile has higher lift coefficient and lift-drag ratio under the medium and high Reynolds number working conditions, so that the chord length size of the vertical-axis wind turbine blade can be reduced, the load of the vertical-axis wind turbine applying the vertical-axis wind turbine blade is further reduced, the utilization rate of the vertical-axis wind turbine applying the vertical-axis wind wheel to wind energy is higher, and in a stall state, the lift-drag ratio of the wing profile is reduced smoothly, the vertical-axis wind turbine blade is prevented from being damaged due to self-vibration caused by abrupt change of aerodynamic characteristics, and the service life of the vertical-axis wind wheel is prolonged.
In a third aspect, an embodiment of the present application provides a vertical axis wind turbine, including the vertical axis wind turbine described above.
In the implementation process, the vertical-axis wind turbine provided by the embodiment of the application is provided with the vertical-axis wind wheel, the vertical-axis wind wheel is provided with the vertical-axis wind turbine blade, the vertical-axis wind turbine blade is provided with the vertical-axis wind turbine blade wing profile suitable for the medium-high Reynolds number working condition, and the wing profile has higher lift coefficient and lift-drag ratio under the medium-high Reynolds number working condition, so that the chord length of the vertical-axis wind turbine blade can be reduced, the load of the vertical-axis wind turbine with the vertical-axis wind turbine blade is reduced, and the wind energy utilization rate of the vertical-axis wind turbine is higher.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present application, the drawings that are needed in the embodiments of the present application will be briefly described below, it should be understood that the following drawings only illustrate some embodiments of the present application and should not be considered as limiting the scope, and other related drawings can be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a schematic illustration of the geometric profile of an airfoil;
FIG. 2 is a schematic illustration of geometric parameters of an airfoil;
FIG. 3 is a graph showing geometrical outline comparison of a first airfoil, a second airfoil and a standard airfoil according to an embodiment of the present application;
FIG. 4 is a graph comparing lift coefficients of a first airfoil and a standard airfoil according to an embodiment of the present application at a Reynolds number of 7×10 5 and an angle of attack of 0 ° to 12.5 °;
FIG. 5 is a chart showing the lift-drag ratio of a first airfoil and a standard airfoil according to an embodiment of the present application at a Reynolds number of 7×10 5 and an attack angle of 0 ° to 12.5 °;
FIG. 6 is a graph comparing lift coefficients of a first airfoil and a standard airfoil according to an embodiment of the present application at a Reynolds number of 10×10 5 and an angle of attack of 0 ° to 12.5 °;
FIG. 7 is a chart showing the lift-drag ratio of a first airfoil and a standard airfoil according to an embodiment of the present application at a Reynolds number of 10×10 5 and an attack angle of 0 ° to 12.5 °;
FIG. 8 is a graph comparing lift coefficients of a first airfoil and a standard airfoil according to an embodiment of the present application at a Reynolds number of 15×10 5 and an angle of attack of 0 ° to 12.5 °;
FIG. 9 is a chart comparing lift-drag ratios of a first airfoil and a standard airfoil provided by an embodiment of the application at Reynolds numbers of 15×10 5 and attack angles of 0 ° to 12.5 °;
FIG. 10 is a graph comparing lift coefficients of a second airfoil and a standard airfoil according to an embodiment of the present application at a Reynolds number of 7×10 5 and an angle of attack of 0 ° to 12.5 °;
FIG. 11 is a chart showing the lift-drag ratio of a second airfoil profile and a standard airfoil profile according to an embodiment of the present application at a Reynolds number of 7×10 5 and an attack angle of 0 ° to 12.5 °;
FIG. 12 is a graph comparing lift coefficients of a second airfoil and a standard airfoil according to an embodiment of the present application at a Reynolds number of 10×10 5 and an angle of attack of 0 ° to 12.5 °;
FIG. 13 is a chart showing the lift-drag ratio of a second airfoil according to an embodiment of the present application versus a standard airfoil at a Reynolds number of 10×10 5 and an angle of attack of 0-12.5;
FIG. 14 is a graph comparing lift coefficients of a second airfoil and a standard airfoil according to an embodiment of the present application at a Reynolds number of 15×10 5 and an angle of attack of 0 ° to 12.5 °;
FIG. 15 is a graph comparing lift-drag ratios of a second airfoil and a standard airfoil according to an embodiment of the present application at Reynolds numbers of 15×10 5 and angles of attack of 0 ° to 12.5 °.
Icon: 11-a first airfoil; 12-a second airfoil; 13-standard airfoil profile; 101-upper airfoil surface; 102-lower airfoil; 103-leading edge; 104-trailing edge; 105-chord.
Detailed Description
The following description of the embodiments of the present application will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present application, but not all embodiments. The components of the embodiments of the present application generally described and illustrated in the figures herein may be arranged and designed in a wide variety of different configurations. Thus, the following detailed description of the embodiments of the application, as presented in the figures, is not intended to limit the scope of the application, as claimed, but is merely representative of selected embodiments of the application. All other embodiments, which can be made by a person skilled in the art without making any inventive effort, are intended to be within the scope of the present application.
In the present application, the terms "upper", "lower", "left", "right", "front", "rear", "top", "bottom", "inner", "outer", "middle", "vertical", "horizontal", "lateral", "longitudinal" and the like indicate an azimuth or a positional relationship based on that shown in the drawings. These terms are only used to better describe the present application and its embodiments and are not intended to limit the scope of the indicated devices, elements or components to the particular orientations or to configure and operate in the particular orientations.
Also, some of the terms described above may be used to indicate other meanings in addition to orientation or positional relationships, for example, the term "upper" may also be used to indicate some sort of attachment or connection in some cases. The specific meaning of these terms in the present application will be understood by those of ordinary skill in the art according to the specific circumstances.
Furthermore, the terms "mounted," "configured," "provided," "connected," and "connected" are to be construed broadly. For example, it may be a fixed connection, a removable connection, or a unitary construction; may be a mechanical connection, or a point connection; may be directly connected, or indirectly connected through intervening media, or may be in internal communication between two devices, elements, or components. The specific meaning of the above terms in the present application can be understood by those of ordinary skill in the art according to the specific circumstances.
Furthermore, the terms "first," "second," and the like, are used primarily to distinguish between different devices, elements, or components (the particular species and configurations may be the same or different), and are not used to indicate or imply the relative importance and number of devices, elements, or components indicated. Unless otherwise indicated, the meaning of "a plurality" is two or more.
Example 1
Referring to fig. 1 and 2, fig. 1 is a schematic diagram of a geometric profile of an airfoil, and fig. 2 is a schematic diagram of geometric parameters of the airfoil.
The vertical axis wind turbine blade of the embodiment of the application is applied to the wing profile of the vertical axis wind turbine blade suitable for the working conditions of medium and high Reynolds numbers, the wing profile is provided with an upper wing surface 101, a lower wing surface 102, a front edge 103 and a rear edge 104,
The maximum thickness of the airfoil is 12% -13% of the chord length of the airfoil;
the distance between the maximum thickness position of the airfoil and the airfoil leading edge 103 is 25% -31% of the chord length of the airfoil;
the maximum camber of the wing profile is 5.5% -8% of the chord length of the wing profile;
The maximum camber position of the airfoil is 35% -40% of the airfoil chord length from the airfoil leading edge 103.
The airfoil is the cross-sectional shape of a vertical axis wind turbine blade, also known as the blade cross-section.
The upper airfoil surface 101 of the airfoil, i.e. the suction surface of the airfoil subjected to negative pressure, the lower airfoil surface 102 of the airfoil, i.e. the pressure surface of the airfoil subjected to positive pressure, the trailing edge 104 of the airfoil, i.e. the rear tip of the airfoil, the leading edge 103 of the airfoil, i.e. the point furthest from the trailing edge 104 on the airfoil, the chord 105 of the airfoil, i.e. the straight line connecting the leading edge 103 and the trailing edge 104 of the airfoil, the chord length of the airfoil, i.e. the length of the chord 105.
The maximum thickness of the airfoil is t m, namely the maximum distance between the upper airfoil surface 101 and the lower airfoil surface 102 of the airfoil, and the distance between the position of the maximum thickness of the airfoil and the airfoil front edge 103 is x t; the maximum camber of the airfoil is f m, the maximum distance between the camber line of the airfoil and the chord 105, and the maximum camber position of the airfoil is x f from the airfoil leading edge 103.
It should be noted that the airfoils shown in fig. 1 and 2 are not necessarily airfoils in the embodiments of the present application, but are merely illustrative of airfoils in the art.
The vertical axis wind turbine blade of the embodiment of the application is applied to the wing profile of the vertical axis wind turbine blade suitable for the medium and high Reynolds number working conditions, and the range of values of four parameters including the maximum thickness of the wing profile, the distance between the maximum thickness position and the front edge 103, the maximum camber and the distance between the maximum camber position and the front edge 103 are limited, so that the wing profile has higher lift coefficient and lift-drag ratio under the medium and high Reynolds number working conditions, the chord length of the vertical axis wind turbine blade can be reduced, the load of the vertical axis wind turbine applying the vertical axis wind turbine blade is further reduced, the wind energy utilization ratio of the vertical axis wind turbine applying the vertical axis wind turbine blade is higher, the lift-drag ratio of the wing profile is more gentle in the stall state, the phenomenon that the vertical axis wind turbine blade is self-vibrated due to rapid change of aerodynamic characteristics during the operation of the vertical axis wind turbine blade is avoided, and the service life of the vertical axis wind turbine blade is prolonged.
In this example, the medium and high Reynolds numbers range from 7X 10 5～15×105.
The range of the medium and high Reynolds numbers is a working condition suitable for the wing section in the embodiment of the application, and the lift coefficient and lift-drag ratio of the wing section in the embodiment of the application are high under the working condition of the medium and high Reynolds numbers.
Referring to fig. 1 to 3, fig. 3 is a geometric profile comparison diagram of a first airfoil 11, a second airfoil 12 and a standard airfoil 13 according to an embodiment of the present application.
Specifically, the embodiment of the present application provides two types of airfoils, namely, a first airfoil 11 and a second airfoil 12.
Wherein, the first airfoil 11 in the embodiment of the application:
the maximum thickness of the first airfoil 11 is 12.62% of the chord length of the first airfoil 11;
The distance between the maximum thickness position of the first airfoil 11 and the leading edge 103 of the first airfoil 11 is 29.4% of the chord length of the first airfoil 11;
The maximum camber of the first airfoil 11 is 6.57% of the chord length of the first airfoil 11;
the maximum camber position of the first airfoil 11 is located at a distance of 39.2% of the chord length of the first airfoil 11 from the leading edge 103 of the first airfoil 11.
The first airfoil 11 under the parameter setting has better lift coefficient and lift-drag ratio under the working conditions of medium and high Reynolds numbers, so that the chord length of the vertical axis wind turbine blade can be reduced, the load of the vertical axis wind turbine applying the vertical axis wind turbine blade is further reduced, and the utilization rate of the vertical axis wind turbine applying the vertical axis wind turbine blade to wind energy is better.
In the present embodiment, the geometric profile of the upper airfoil 101 of the first airfoil 11 satisfies the following mathematical expression:
y＝0.00499+2.20x-26.22x2+190.28x3-804.59x4+2034.52x5-3129.47x6+2868.997x7-1440.47x8+304.73x9,
Wherein x is the abscissa of the upper airfoil surface 101 of the first airfoil 11 on the dimensionless two-dimensional coordinate system, and y is the ordinate of the upper airfoil surface 101 of the first airfoil 11 on the dimensionless two-dimensional coordinate system;
the geometric profile of the lower airfoil surface 102 of the first airfoil 11 satisfies the following mathematical expression:
y＝-9.4-0.44x+6.68x2-46.63x3+189.12x4-468.23x5+713.53x6-651.66x7+326.63x8-69x9,
Where x is an abscissa of the lower airfoil surface 102 of the first airfoil 11 on a dimensionless two-dimensional coordinate system, and y is an ordinate of the lower airfoil surface 102 of the first airfoil 11 on the dimensionless two-dimensional coordinate system.
In the dimensionless two-dimensional coordinate system, x/c refers to the ratio of the abscissa of the airfoil to the chord length, y/c refers to the ratio of the ordinate of the airfoil to the chord length, and the chord length is set as a unit of 1.
The parameters of the upper airfoil surface 101 and the lower airfoil surface 102 of the first airfoil 11 in the embodiment of the application on the dimensionless two-dimensional coordinate system can be seen in the following table:
Through experiments, the lift coefficient and lift-drag ratio of the first airfoil 11 under the working conditions of medium and high Reynolds numbers can be improved through the geometric outlines of the upper airfoil 101 and the lower airfoil 102 of the first airfoil 11 determined by the two mathematical expressions.
In detail, referring to fig. 4 to 9, fig. 4 to 9 are graphs showing lift coefficient and lift-drag ratio comparison of the first airfoil 11 and the standard airfoil 13 provided in the embodiment of the application under different reynolds number working conditions and with an attack angle of 0 ° to 12.5 °.
As shown in fig. 4, at a reynolds number of 7×10 5, the lift coefficient of the first airfoil 11 in the embodiment of the application reaches a maximum value of 1.75 at an attack angle of 12.5 °, which is improved by 18.2% compared with the standard airfoil 13;
as shown in fig. 5, at a reynolds number of 7×10 5, the lift-drag ratio of the first airfoil 11 in the embodiment of the application reaches the maximum value 122.87 at an attack angle of 5 °, which is improved by 4.4% compared with the standard airfoil 13;
As shown in fig. 6, at a reynolds number of 10×10 5, the lift coefficient of the first airfoil 11 in the embodiment of the application reaches a maximum value of 1.76 at an attack angle of 12.5 °, which is improved by 16.6% compared with the standard airfoil 13;
As shown in fig. 7, at a reynolds number of 10×10 5, the lift-drag ratio of the first airfoil 11 in the embodiment of the application reaches a maximum value of 139.41 at an attack angle of 6 °, which is improved by 7.04% compared with the standard airfoil 13;
as shown in fig. 8, at a reynolds number of 15×10 5, the lift coefficient of the first airfoil 11 in the embodiment of the application reaches a maximum value of 1.77 at an attack angle of 12.5 °, which is improved by 13.5% compared with the standard airfoil 13;
as shown in fig. 9, at a reynolds number of 15×10 5, the lift-drag ratio of the first airfoil 11 in the embodiment of the application reaches a maximum value of 156.8 at an attack angle of 6 °, which is improved by 10.4% compared to the standard airfoil 13.
It can be seen that the first airfoil 11 in the embodiment of the present application has a higher lift coefficient and lift-drag ratio under the condition of the reynolds number of 7×10 5～15×105.
The second airfoil 12 in the embodiment of the application:
The maximum thickness of the second airfoil 12 is 12.62% of the chord length of the second airfoil 12;
The distance between the maximum thickness position of the second airfoil 12 and the leading edge 103 of the second airfoil 12 is 26.7% of the chord length of the second airfoil 12;
The maximum camber of the second airfoil 12 is 7.16% of the chord length of the second airfoil 12;
the maximum camber position of the second airfoil 12 is at a distance of 35.7% of the chord length of the second airfoil 12 from the leading edge 103 of the second airfoil 12.
The second airfoil 12 under the parameter setting has better lift coefficient and lift-drag ratio under the working conditions of medium and high Reynolds numbers, so that the chord length of the vertical axis wind turbine blade can be reduced, the load of the vertical axis wind turbine applying the vertical axis wind turbine blade is further reduced, and the utilization rate of wind energy by the vertical axis wind turbine applying the vertical axis wind turbine blade is better.
In the present embodiment, the geometric profile of the upper airfoil 101 of the second airfoil 12 satisfies the following mathematical expression:
y＝0.00519+2.3x-27.18x2+197.27x3-835.83x4+2113.69x5-3245.37x6+2966.74x7-1484.72x8+313.09x9,
wherein x is the abscissa of the airfoil 101 on the second airfoil 12 on the dimensionless two-dimensional coordinate system, and y is the ordinate of the airfoil 101 on the second airfoil 12 on the dimensionless two-dimensional coordinate system;
The geometric profile of the lower airfoil surface 102 of the second airfoil 12 satisfies the following mathematical expression:
y＝-0.0011-0.43x+7.05x2-49.56x3+201.10x4-498.41x5+761.11x6-697x7+350.39x8-74.24x9,
where x is the abscissa of the lower airfoil surface 102 of the second airfoil 12 on the dimensionless two-dimensional coordinate system, and y is the ordinate of the lower airfoil surface 102 of the second airfoil 12 on the dimensionless two-dimensional coordinate system.
The parameters of the upper airfoil surface 101 and the lower airfoil surface 102 of the second airfoil 12 in the embodiment of the application on the dimensionless two-dimensional coordinate system can be seen in the following table:
Through experiments, the lift coefficient and lift-drag ratio of the first airfoil 11 under the working conditions of medium and high Reynolds numbers can be improved through the geometric profiles of the upper airfoil 101 and the lower airfoil 102 of the second airfoil 12 determined by the two mathematical expressions.
In detail, referring to fig. 10 to 15, fig. 10 to 15 are graphs showing lift coefficient and lift-drag ratio comparison of the second airfoil 12 and the standard airfoil 13 provided in the embodiment of the present application under different reynolds number working conditions and with an attack angle of 0 ° to 12.5 °.
As shown in fig. 10, at a reynolds number of 7×10 5, the lift coefficient of the second airfoil 12 in the embodiment of the application reaches a maximum value of 1.86 at an attack angle of 12.5 °, which is improved by 25.7% compared with the standard airfoil 13;
As shown in fig. 11, at a reynolds number of 7×10 5, the lift-drag ratio of the second airfoil 12 in the embodiment of the application reaches a maximum value 123.16 at an attack angle of 6.5 °, which is improved by 4.6% compared with the standard airfoil 13;
As shown in fig. 12, at a reynolds number of 10×10 5, the lift coefficient of the second airfoil 12 in the embodiment of the application reaches a maximum value of 1.88 at an attack angle of 12.5 °, which is improved by 24.5% compared with the standard airfoil 13;
As shown in fig. 13, at a reynolds number of 10×10 5, the lift-drag ratio of the second airfoil 12 in the embodiment of the application reaches a maximum value 139.32 at an attack angle of 5 °, which is improved by 7% compared with the standard airfoil 13;
As shown in fig. 14, at a reynolds number of 15×10 5, the lift coefficient of the second airfoil 12 in the embodiment of the application reaches a maximum value of 1.88 at an attack angle of 12.5 °, which is improved by 20.5% compared with the standard airfoil 13;
As shown in fig. 15, at a reynolds number of 15×10 5, the lift-drag ratio of the second airfoil 12 in the embodiment of the application reaches a maximum value 157.61 at an attack angle of 6 °, which is improved by 11.78% compared to the standard airfoil 13.
It can be seen that the second airfoil 12 in the present embodiment has a higher lift coefficient and lift-drag ratio at a reynolds number of 7×10 5～15×105.
Example two
The vertical-axis wind wheel comprises a vertical-axis wind turbine blade of the first embodiment.
The content of the vertical axis wind turbine blade in the embodiment of the present application may refer to the specific content of the first embodiment, and will not be described herein.
The vertical axis wind wheel provided by the embodiment of the application is applied with the vertical axis wind turbine blade of the first embodiment, the vertical axis wind turbine blade is applied with the vertical axis wind turbine blade wing profile suitable for the medium and high Reynolds number working conditions, and the wing profile has higher lift coefficient and lift-drag ratio under the medium and high Reynolds number working conditions, so that the chord length size of the vertical axis wind turbine blade can be reduced, the load of the vertical axis wind turbine applying the vertical axis wind turbine blade is further reduced, the utilization ratio of the vertical axis wind turbine applying the vertical axis wind wheel to wind energy is higher, in addition, the lift-drag ratio of the wing profile is more gentle in the stall state, the vertical axis wind turbine blade is prevented from being damaged due to self-vibration caused by the rapid change of the aerodynamic characteristics during the operation of the vertical axis wind turbine, and the service life of the vertical axis wind wheel is prolonged.
Example III
The vertical axis wind turbine of the embodiment of the application comprises the vertical axis wind wheel of the second embodiment.
The content of the vertical axis wind wheel in the embodiment of the present application may refer to the specific content of the second embodiment, and will not be described herein.
The vertical axis wind turbine of the embodiment of the application is applied with the vertical axis wind wheel of the second embodiment, the vertical axis wind wheel is applied with the vertical axis wind turbine blade of the first embodiment, the vertical axis wind turbine blade is applied with the vertical axis wind turbine blade wing profile suitable for the medium and high Reynolds number working conditions, and the wing profile has higher lift coefficient and lift-drag ratio under the medium and high Reynolds number working conditions, so that the chord length of the vertical axis wind turbine blade can be reduced, the load of the vertical axis wind turbine applying the vertical axis wind turbine blade is further reduced, and the wind energy utilization rate of the vertical axis wind turbine is higher.
In all the embodiments, the terms "large" and "small" are relative terms, "more" and "less" are relative terms, "upper" and "lower" are relative terms, and the description of such relative terms is not repeated herein.
It should be appreciated that reference throughout this specification to "in this embodiment," "in an embodiment of the present application," or "as an alternative" means that a particular feature, structure, or characteristic described in connection with the embodiment is included in at least one embodiment of the present application. Thus, the appearances of the phrases "in this embodiment," "in an embodiment of the application," or "as an alternative embodiment" in various places throughout this specification are not necessarily referring to the same embodiment. Furthermore, the particular features, structures, or characteristics may be combined in any suitable manner in one or more embodiments. Those skilled in the art will also appreciate that the embodiments described in the specification are alternative embodiments and that the acts and modules referred to are not necessarily required for the present application.
In various embodiments of the present application, it should be understood that the sequence numbers of the foregoing processes do not imply that the execution sequences of the processes should be determined by the functions and internal logic of the processes, and should not be construed as limiting the implementation of the embodiments of the present application.
The foregoing is merely illustrative of the present application, and the present application is not limited thereto, and any person skilled in the art will readily recognize that variations or substitutions are within the scope of the present application. Therefore, the protection scope of the application shall be subject to the protection scope of the claims.

Claims (4)

1. A vertical axis wind turbine blade is characterized in that a vertical axis wind turbine blade wing profile suitable for medium and high Reynolds number working conditions is applied, the wing profile is provided with an upper wing surface, a lower wing surface, a front edge and a rear edge,
The maximum thickness of the airfoil is 12% -13% of the chord length of the airfoil;
the distance between the maximum thickness position of the airfoil and the front edge of the airfoil is 25% -31% of the chord length of the airfoil;
the maximum camber of the airfoil is 5.5% -8% of the chord length of the airfoil;
the distance between the maximum camber position of the airfoil and the front edge of the airfoil is 35% -40% of the chord length of the airfoil;
the airfoil includes a first airfoil or a second airfoil;
The maximum thickness of the first airfoil is 12.62% of the chord length of the first airfoil;
The distance between the maximum thickness position of the first airfoil and the leading edge of the first airfoil is 29.4% of the chord length of the first airfoil;
The maximum camber of the first airfoil is 6.57% of the chord length of the first airfoil;
The distance between the maximum camber position of the first airfoil and the leading edge of the first airfoil is 39.2% of the chord length of the first airfoil;
the maximum thickness of the second airfoil is 12.62% of the chord length of the second airfoil;
the distance between the maximum thickness position of the second airfoil and the leading edge of the second airfoil is 26.7% of the chord length of the second airfoil;
the maximum camber of the second airfoil is 7.16% of the chord length of the second airfoil;
The distance between the maximum camber position of the second airfoil and the leading edge of the second airfoil is 35.7% of the chord length of the second airfoil;
The geometric profile of the upper airfoil surface of the first airfoil satisfies the following mathematical expression:
y=0.00499+2.20x-26.22x2+190.28x3-804.59x4+2034.52x5-3129.47x6+2868.997x7-1440.47x8+304.73x9,
wherein x is the abscissa of the upper airfoil surface of the first airfoil on a dimensionless two-dimensional coordinate system, and y is the ordinate of the upper airfoil surface of the first airfoil on the dimensionless two-dimensional coordinate system;
the geometric profile of the first airfoil lower airfoil satisfies the following mathematical expression:
y=-9.4-0.44x+6.68x2-46.63x3+189.12x4-468.23x5+713.53x6-651.66x7+326.63x8-69x9,
Wherein x is the abscissa of the first airfoil lower airfoil surface on a dimensionless two-dimensional coordinate system, and y is the ordinate of the first airfoil lower airfoil surface on the dimensionless two-dimensional coordinate system;
the geometric profile of the upper airfoil surface of the second airfoil satisfies the following mathematical expression:
y=0.00519+2.3x-27.18x2+197.27x3-835.83x4+2113.69x5-3245.37x6+2966.74x7-1484.72x8+313.09x9,
wherein x is the abscissa of the second airfoil upper surface on the dimensionless two-dimensional coordinate system, and y is the ordinate of the second airfoil upper surface on the dimensionless two-dimensional coordinate system;
the geometric profile of the second airfoil lower airfoil satisfies the following mathematical expression:
y=-0.0011-0.43x+7.05x2-49.56x3+201.10x4-498.41x5+761.11x6-697x7+350.39x8-74.24x9,
wherein x is the abscissa of the second airfoil lower airfoil surface on a dimensionless two-dimensional coordinate system, and y is the ordinate of the second airfoil lower airfoil surface on the dimensionless two-dimensional coordinate system.
2. The vertical axis wind turbine blade as defined in claim 1, wherein the medium and high reynolds numbers range from 7 x 10 5~15×105.
3. A vertical axis wind turbine comprising a vertical axis wind turbine blade according to claim 1 or 2.
4. A vertical axis wind turbine comprising a vertical axis wind turbine according to claim 3.
CN201911171541.XA 2019-11-21 2019-11-21 Vertical axis wind turbine blade, vertical axis wind wheel and vertical axis wind turbine Active CN110985285B (en)

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Publication number Priority date Publication date Assignee Title
CN101876291A (en) * 2009-04-29 2010-11-03 中国科学院工程热物理研究所 Wind turbine blade airfoil family
CN104696158A (en) * 2014-08-20 2015-06-10 深圳市深田蒙业新能源有限公司 Lift type blade airfoil for vertical-axis wind turbine generator system
CN104819106A (en) * 2015-04-30 2015-08-05 南京北大工道创新有限公司 Wind turbine blade wing section group
CN106089569A (en) * 2016-07-20 2016-11-09 湘潭大学 A kind of Miniature Wind Turbine Blades aerofoil profile being applicable to low reynolds number flow
CN210829595U (en) * 2019-11-21 2020-06-23 广东海洋大学 Vertical axis wind turbine blade, vertical axis wind wheel and vertical axis wind turbine

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8197218B2 (en) * 2007-11-08 2012-06-12 Alliance For Sustainable Energy, Llc Quiet airfoils for small and large wind turbines
US10718311B2 (en) * 2015-04-29 2020-07-21 Universiti Brunei Darussalam Low Reynolds number airfoil for a wind turbine blade and method thereof

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101876291A (en) * 2009-04-29 2010-11-03 中国科学院工程热物理研究所 Wind turbine blade airfoil family
CN104696158A (en) * 2014-08-20 2015-06-10 深圳市深田蒙业新能源有限公司 Lift type blade airfoil for vertical-axis wind turbine generator system
CN104819106A (en) * 2015-04-30 2015-08-05 南京北大工道创新有限公司 Wind turbine blade wing section group
CN106089569A (en) * 2016-07-20 2016-11-09 湘潭大学 A kind of Miniature Wind Turbine Blades aerofoil profile being applicable to low reynolds number flow
CN210829595U (en) * 2019-11-21 2020-06-23 广东海洋大学 Vertical axis wind turbine blade, vertical axis wind wheel and vertical axis wind turbine

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