CN115758629A - High-speed centrifugal fan special for sweeping robot and design method and device thereof - Google Patents
High-speed centrifugal fan special for sweeping robot and design method and device thereof Download PDFInfo
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Abstract
The invention relates to the technical field of centrifugal fans, in particular to a high-speed centrifugal fan special for a sweeping robot and a sweeping robotDesign methods and apparatus. A design method of a high-speed centrifugal fan special for a sweeping robot comprises the following steps: step a1, determining the radius of an inlet of an impeller according to the installation size of a high-speed centrifugal fanR 1 Radius of impellerR 3 And blade widthBDetermining the hub radius for a given motor sizeR 2 (ii) a Step a2, according to the radius of an inlet of the impellerR 1 Radius of impellerR 3 And blade widthBAnd respectively controlling the casing profile and the hub profile of the impeller by a four-point control method. According to the design method of the high-speed centrifugal fan special for the sweeping robot, the designed high-speed centrifugal fan has the advantages of high efficiency, high static pressure, low noise and high vacuum degree, and has a good dust collection effect when being applied to the sweeping robot, and the problems of low efficiency, high noise and low vacuum degree of the high-speed centrifugal fan in the existing sweeping robot are solved.
Description
Technical Field
The invention relates to the technical field of centrifugal fans, in particular to a high-speed centrifugal fan special for a sweeping robot and a design method and a device thereof.
Background
Along with the improvement of living standard, the sweeping robot has the advantages of simple operation and convenient use, more and more consumers select the sweeping robot, and the sweeping robot enters the lives of people and is connected with families and offices, thereby becoming an important member of small household appliances and being popular. In the sweeping robot, the high-speed centrifugal fan is mainly used, and along with the great improvement of the living standard and health consciousness of people, the key problem in product design and engineering optimization is how to operate the high-speed centrifugal fan efficiently, stably and quietly in the sweeping robot.
In the design of an impeller of a centrifugal fan of a traditional sweeping robot, a certain height is usually axially stretched according to a designed two-dimensional impeller profile, but the inside of the centrifugal fan is in complex three-dimensional flow, so that the profile of the impeller is a complex three-dimensional space curve. Therefore, most of the centrifugal fans of the sweeping robots adopt an original design method, and have the advantages of low efficiency, high noise and small vacuum degree. The energy consumption is large in the operation process, the surrounding environment is influenced, the energy is greatly wasted, and the sustainable development is not facilitated.
Disclosure of Invention
The invention aims to provide a design method of a high-speed centrifugal fan special for a sweeping robot, the designed high-speed centrifugal fan has the advantages of high efficiency, high static pressure, low noise and high vacuum degree, and has a good dust collection effect when being applied to the sweeping robot, and the problems of low efficiency, high noise and low vacuum degree of the high-speed centrifugal fan in the existing sweeping robot are solved.
Another objective of the present invention is to provide a design apparatus for implementing the method for designing a high-speed centrifugal fan dedicated for a floor-sweeping robot, wherein parameters can be optimized according to specific working conditions during the design process, and the whole design process adopts computer-aided design, so that manual errors are reduced, the design efficiency is improved, and parameters can be adjusted conveniently.
The invention further aims to provide the high-speed centrifugal fan designed by the design method for realizing the high-speed centrifugal fan special for the sweeping robot, which has the advantages of high efficiency, high static pressure, low noise and high vacuum degree, and is applied to the sweeping robot, so that the dust collection effect of the sweeping robot is good.
In order to achieve the purpose, the invention adopts the following technical scheme:
a design method of a high-speed centrifugal fan special for a sweeping robot comprises the following steps:
step a1, determining the inlet radius of an impeller according to the installation size of a high-speed centrifugal fanR 1 Radius of impellerR 3 And blade widthBDetermining the hub radius for a given motor sizeR 2 ;
Step a2, according to the radius of an inlet of the impellerR 1 Impeller radiusR 3 And blade widthBRespectively controlling the casing profile and the hub profile of the impeller by a four-point control method to draw the profiles of the casing and the hub of the impeller on a meridian flow surface;
a3, cutting a plurality of blade height sections between a casing molded line and a hub molded line of the impeller;
step a4, transforming each three-dimensional leaf height section through angle preservingConverting into two-dimensional plane, and converting the coordinate system into three-dimensional coordinate systemConversion into two dimensionsA flow surface coordinate system;
step a5 atUnder a flow surface coordinate system, a blade profile is independently designed on a two-dimensional plane corresponding to each blade height;
step a6, passing each designed blade profile in two dimensionsThe coordinates are converted into three-dimensional Cartesian coordinates, i.e. three-dimensional blade profiles at different blade heights, and the maximum wrap angle is setThe three-dimensional leaf profile is obtained by placing;
step a7, combining the designed three-dimensional blade profile with a casing profile and a hub profile of the impeller to obtain the impeller;
and a8, matching and designing the volute in a spiral involute mode according to the designed impeller and the flow field to obtain the volute.
Further, in the step a2, the meridian flow surface profile is on the z-r plane and is respectively formed by a casing profile and a hub profile, and the casing profile and the hub profile are respectively controlled by two cubic B-spline curves with four control points;
the control points of the molded lines of the casing are respectivelyA 1 、A 2 、A 3 AndA 4 middle line section ofA 1 A 2 Remain horizontal, line segmentA 3 A 4 Keeping vertical, recording line segmentA 1 A 2 Has a length ofL 1 Line segmentA 3 A 4 Has a length ofL 2 ;
The control points of the hub profile are respectivelyA 5 、A 6 、A 7 AndA 8 middle line section ofA 5 A 6 Remain horizontal, line segmentA 7 A 8 Keeping vertical, recording line segmentA 5 A 6 Has a length ofL 3 Line segmentA 7 A 8 Has a length ofL 4 ;
Wherein the control pointA 1 And a control pointA 5 Have the same abscissa, control pointA 4 And a control pointA 8 The ordinate is the same;
control pointA 1 On the ordinate ofR 1 Control pointA 5 On the ordinate ofR 2 Control pointA 4 And a control pointA 8 On the ordinate ofR 3 Control pointA 4 And a control pointA 8 The difference of the abscissa of the blade is the width of the bladeB;
L 1 In the range of 0.3 (R 1 -R 2 )~0.6(R 1 -R 2 ),L 2 The range of (1) is 0.9B to 1.1B,L 3 In the range of 1.2 (R 1 -R 2 )~1.4(R 1 -R 2 ), L 4 The range of (1) is 1.2B to 1.4B.
In step a3, 1 to 15 blade height sections are taken between the casing profile and the hub profile by an interpolation method.
More specifically, in the step a3, the blade height sections of 0%, 10%, 20%, 30%, 40%, 50%, 60%, 70%, 80%, 90% and 100% are respectively constructed by using an interpolation method to change the height gradient between the casing profile and the hub profile by 10%.
In step a4, a two-dimensional leaf pattern is definedUnder the coordinate system of the flow surface,the flow surface coordinate system is obtained by a three-dimensional cylindrical coordinate system through conformal transformation:
wherein ,zare the coordinate values in the axial direction,rare the coordinate values in the radial direction,θis a circumferential angle, definemThe length of the meridian is taken as the length of the meridian,m’dimensionless meridian length;
for the leaf-shaped discrete points under the three-dimensional Cartesian coordinate system, the two-dimensional discrete points are obtained by the following trapezoidal rule integrationCoordinates are as follows:
wherein, the corner markiAre discrete point numbers, andzthe plane perpendicular to the axis isxoyThe plane is a plane, and the plane is a plane,xis composed ofxoyOf planexThe coordinate values of the direction are,yis composed ofxoyOf planeyThe coordinate values of the direction are,zare the coordinate values in the axial direction,rare coordinate values in the radial direction, wherein。
In step a5, the blade profile is formed by the leading edgeP 1 S 1 The trailing edgeP 4 S 4 Suction surfaceS 1 S 2 S 3 S 4 Pressure surface of the cylinderP 1 P 2 P 3 P 4 Four sections of curves, wherein the suction surface and the pressure surface are 3-order B-spline curves with four control points, the front edge and the tail edge are respectively arcs,P 1 、P 2 、P 3 andP 4 are all control points of the pressure surface,S 1 、S 2 、S 3 andS 4 all are control points of the suction surface;
wherein the line segmentsP 1 P 2 And line segmentS 1 S 2 Parallel, line segmentsP 2 P 3 And line segmentS 2 S 3 Parallel, line segmentsP 3 P 4 And line segmentS 3 S 4 Parallel connection;
definition ofβ 1 Is the inlet air flow angle of the air conditioner,β 1 is a line segmentS 1 S 2 And line segmentS 1 S 4 Included angle of 25 degrees or lessβ 1 ≤45°;
Definition ofβ 2 Is the angle of the air flow at the outlet,β 2 is a line segmentS 3 S 4 And line segmentS 1 S 4 Included angle of 25 degrees or lessβ 2 ≤45°;
Definition ofS 1 AndP 1 is a distance ofR l And line segmentS 1 S 4 Is the coefficient of the leading edgeχ l ,0.01≤χ l ≤0.04;
Definition ofS 4 AndP 4 is a distance ofR t And line segmentS 1 S 4 Is the trailing edge coefficientχ t ,0.005≤χ t ≤0.02;
Defining a suction surface distance line segmentS 1 S 4 Maximum value of (2) is camberf,0.05≤f≤0.2。
More specifically, in the step a6Under the coordinate system of the flow surface,abscissa of flow surface coordinate systemθThe unit of (A) is radian, the two-dimensional leaf profile is placed, and the maximum wrap angle is definedθ max ,Will be two-dimensionalAnd converting the coordinates into three-dimensional Cartesian coordinates to obtain three-dimensional leaf profiles at different leaf heights, and mixing the three-dimensional leaf profiles through boundaries to obtain the three-dimensional leaf profiles.
In a further description, in the step a8, the profile of the volute is an involute spiral line, and the profile of the volute is formed by five arc lines connected in sequenceC 1 、C 2 、C 3 、C 4 、C 5 And a segment of straight lineD 1 Composition, straight lineD 1 Is connected to an arc lineC 5 The terminal of (a);
G 1 toG 2 The arc line between them is arc lineC 1 Arc lineC 1 Corresponding center of circle isO 1 ,O 1 Is the center of a circle and an arc line of the impellerC 1 Corresponding radius isE 1 ;
G 2 ToG 3 The arc line between them is an arc lineC 2 Arc lineC 2 Corresponding center of circle isO 2 Arc lineC 2 Corresponding radius isE 2 ;
G 3 ToG 4 The arc line between them is arc lineC 3 Arc lineC 3 Corresponding center of circle isO 3 Arc lineC 3 Corresponding radius isE 3 ;
G 4 ToG 5 The arc line between them is arc lineC 4 Arc lineC 4 Corresponding center of circle isO 4 Arc lineC 4 Corresponding radius isE 4 ;
G 5 ToG 6 The arc line between them is arc lineC 5 Arc lineC 5 Corresponding center of circle isO 5 Arc lineC 5 Corresponding radius isE 5 ;
To the center of a circleO 1 The included angle of (A): angle of erectionG 1 O 1 G 2 =85°~95°,∠G 2 O 1 G 3 =20°~30°,∠G 3 O 1 G 4 =90°,∠G 4 O 1 G 5 =90 °, straight lineD 1 Angle to vertical lineHIs 8-15 degrees;
E 1 =32mm~35mm,E 2 =32mm~35mm,E 3 =34mm~37mm,E 4 =36mm~39mm,E 5 =21 mm-23 mm and the center of the circleO 2 Center of circleO 3 And the center of the circleO 4 To form an isosceles right triangle,O 2 O 3 =O 3 O 4 =2mm。
a design device of a high-speed centrifugal fan special for a sweeping robot is used for executing a design method of the high-speed centrifugal fan special for the sweeping robot, and comprises the following steps:
a molded line drawing module for drawing the molded line according to the impeller inlet radiusR 1 Radius of impellerR 3 And blade widthBRespectively controlling the casing profile and the hub profile of the impeller by a four-point control method, and drawing the profiles of the casing and the hub of the impeller on a meridian flow surface;
the blade height section intercepting module is used for taking a plurality of blade height sections between a casing molded line and a hub molded line of the impeller;
a coordinate system conversion module for converting each three-dimensional leaf height section into a two-dimensional plane through angle preserving transformation, and converting the coordinate system from a three-dimensional coordinate systemConversion into two dimensionsA flow surface coordinate system;
design module of blade profile for use inUnder a flow surface coordinate system, a blade profile is independently designed on a two-dimensional plane corresponding to each blade height;
a three-dimensional blade profile obtaining module for passing each designed blade profile through two dimensionsThe coordinates are converted into three-dimensional Cartesian coordinates, i.e. three-dimensional blade profiles at different blade heights, and the maximum wrap angle is setThe three-dimensional leaf profile is obtained by placing;
the impeller obtaining module is used for combining the designed three-dimensional impeller profile with the casing profile and the hub profile of the impeller to obtain the impeller;
and the volute design module is used for matching and designing the volute in a spiral involute mode according to the designed impeller and the flow field to obtain the volute.
A high-speed centrifugal fan special for a sweeping robot is designed by using a design method of the high-speed centrifugal fan special for the sweeping robot and comprises a volute and an impeller arranged in the volute, wherein the impeller comprises a hub, a shell and blades, the periphery of the hub is annularly provided with a plurality of blades, and the shell is arranged on two sides of the rotation direction of the blades;
the static pressure efficiency of the high-speed centrifugal fan at the design rotating speed of 30000rpm is 36-42%, the noise at the rated working point is 63-68db, and the vacuum degree is 5800-6400pa.
Compared with the prior art, the embodiment of the invention has the following beneficial effects:
the impeller and the volute of the high-speed centrifugal fan special for the sweeping robot are designed in a rapid forming mode based on basic parameters of the high-speed centrifugal fan, the blades are designed in a full three-dimensional modeling mode, the designed three-dimensional blade profile is combined with a casing profile and a hub profile of the impeller to obtain the impeller, the volute is designed according to the matching of a wind wheel, then diffusion is carried out, a part of dynamic pressure generated by the impeller is converted into static pressure to obtain higher vacuum degree, the requirement of the sweeping robot for high vacuum degree can be met, the high-speed centrifugal fan is designed by a ternary design method based on an elementary-level concept, the performance of the fan can be effectively improved, the designed high-speed centrifugal fan has the advantages of high efficiency, high static pressure, low noise and high vacuum degree, and is good in dust collection effect when being applied to the sweeping robot, the high-speed centrifugal fan can be effectively applied to the sweeping robot, and the problems of low efficiency, high noise and low vacuum degree of the existing sweeping robot are solved.
Drawings
Fig. 1 is a flowchart of a method for designing a high-speed centrifugal fan dedicated for a sweeping robot according to an embodiment of the present invention;
fig. 2 is a meridian flow plane pattern diagram of step a2 of the method for designing the high-speed centrifugal fan specially used for the sweeping robot according to the embodiment of the invention;
fig. 3 is a schematic sectional view of different blade heights in step a3 of the method for designing the high-speed centrifugal fan specially used for the sweeping robot according to the embodiment of the invention;
fig. 4 is a schematic diagram of the blade profile parameters in step a5 of the method for designing a high-speed centrifugal fan dedicated for a cleaning robot according to an embodiment of the present invention;
fig. 5 is a schematic structural diagram of the blade-shaped leading edge in step a5 of the method for designing the high-speed centrifugal fan specially used for the sweeping robot according to the embodiment of the invention;
fig. 6 is a schematic structural diagram of the blade-shaped trailing edge in step a5 of the method for designing a high-speed centrifugal fan specially used for a sweeping robot according to an embodiment of the present invention;
fig. 7 shows that the blade profile at a certain blade height section in step a6 of the method for designing a high-speed centrifugal fan dedicated for a sweeping robot according to an embodiment of the present invention is two-dimensionalA schematic diagram on coordinates;
fig. 8 is a schematic view of the blade profile at different blade heights in step a6 of the method for designing the high-speed centrifugal fan specially used for the sweeping robot according to the embodiment of the invention;
fig. 9 is a schematic space curve diagram of the two-dimensional coordinate blade profile in step a6 of the method for designing the high-speed centrifugal fan special for the sweeping robot according to the embodiment of the present invention, after the two-dimensional coordinate blade profile is converted into the three-dimensional cartesian coordinate blade profile, at the corresponding blade height;
fig. 10 is a schematic axial surface curve diagram of the blade profile at the corresponding blade height after the two-dimensional coordinate blade profile of step a6 is converted into the three-dimensional cartesian coordinate blade profile in the design method of the high-speed centrifugal fan specially used for the sweeping robot according to the embodiment of the invention;
fig. 11 is a schematic diagram of a three-dimensional blade profile obtained by mixing profile line boundaries of different blade heights in the step a6 of the method for designing the high-speed centrifugal fan specially used for the sweeping robot according to the embodiment of the invention;
fig. 12 is a schematic parameter diagram of the volute profile in step a8 of the method for designing a high-speed centrifugal fan dedicated for a cleaning robot according to an embodiment of the present invention;
fig. 13 is a schematic perspective view of a high-speed centrifugal fan dedicated for a sweeping robot according to an embodiment of the present invention;
fig. 14 is a schematic perspective view of an impeller of a high-speed centrifugal fan dedicated for a sweeping robot according to an embodiment of the present invention;
FIG. 15 is a flow chart of example 1 of the present invention at a cross section of 50% leaf height at 5000pa back pressure;
FIG. 16 is a flow chart at a section of 50% leaf height at 5000pa back pressure for example 2 of the present invention;
FIG. 17 is a flow chart at a section of example 3 of the invention at 50% leaf height under a back pressure of 5000 pa;
FIG. 18 is a flow chart at a section of 50% leaf height at 5000pa back pressure for example 4 of the present invention;
in the drawings: volute 1, impeller 2, hub 21, casing 22, blade 23.
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like or similar reference numerals refer to the same or similar elements or elements having the same or similar function throughout. The embodiments described below with reference to the accompanying drawings are illustrative only for the purpose of explaining the present invention and are not to be construed as limiting the present invention.
In the description of the present invention, it is to be understood that the terms "longitudinal", "lateral", "up", "down", "front", "back", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", and the like, indicate orientations or positional relationships based on those shown in the drawings, and are used merely for convenience of description and for simplicity of description, and do not indicate or imply that the referenced devices or elements must have a particular orientation, be constructed in a particular orientation, and be operated, and thus, are not to be construed as limiting the present invention. Furthermore, features defined as "first" and "second" may explicitly or implicitly include one or more of the features for distinguishing between descriptive features, non-sequential, non-trivial and non-trivial.
In the description of the present invention, "a plurality" means two or more unless otherwise specified.
As shown in fig. 1, a method for designing a high-speed centrifugal fan dedicated for a sweeping robot includes the following steps:
step a1, determining the radius of an inlet of an impeller according to the installation size of a high-speed centrifugal fanR 1 Radius of impellerR 3 And blade widthBDetermining the hub radius for a given motor sizeR 2 ;
Step a2, according to the inlet radius of the impellerR 1 Radius of impellerR 3 And blade widthBRespectively controlling the casing profile and the hub profile of the impeller by a four-point control method to draw the profiles of the casing and the hub of the impeller on a meridian flow surface;
a3, cutting a plurality of blade height sections between a casing molded line and a hub molded line of the impeller;
step a4, converting each three-dimensional leaf height section into a two-dimensional plane through angle preserving transformation, and converting a coordinate system from a three-dimensional coordinate systemConversion into two dimensionsA flow surface coordinate system;
step a5 inUnder a flow surface coordinate system, a blade profile is independently designed on a two-dimensional plane corresponding to each blade height;
step a6, passing each designed blade profile in two dimensionsThe coordinates are converted into three-dimensional Cartesian coordinates, i.e. three-dimensional blade profiles at different blade heights, and the maximum wrap angle is setThe three-dimensional leaf profile is obtained by placing;
step a7, combining the designed three-dimensional blade profile with a casing profile and a hub profile of the impeller to obtain the impeller;
and a8, matching and designing the volute in a spiral involute mode according to the designed impeller and the flow field to obtain the volute.
The impeller and the volute of the high-speed centrifugal fan special for the sweeping robot are quickly formed and designed based on basic parameters of the high-speed centrifugal fan, the blades are designed in a full three-dimensional modeling method, the designed three-dimensional blade profile is combined with the casing profile and the hub profile of the impeller to obtain the impeller, then the volute is subjected to diffusion according to the matching design of the wind wheel, part of dynamic pressure generated by the impeller is converted into static pressure to obtain higher vacuum degree, the requirement of the sweeping robot on high vacuum degree can be met, the performance of the fan can be effectively improved by designing the high-speed centrifugal fan based on the element level concept, the designed high-speed centrifugal fan has the advantages of high efficiency, high static pressure, low noise and high vacuum degree, and the high-speed centrifugal fan has a good dust collection effect when being applied to the sweeping robot, so that the high-speed centrifugal fan can be effectively applied to the sweeping robot, and has a very high application value, and the problems of low efficiency, high noise and low vacuum degree of the existing sweeping robot are solved.
As shown in fig. 2, further, in step a2, the meridian flow surface profile is on the z-r plane and is respectively formed by a casing profile and a hub profile, and the casing profile and the hub profile are respectively controlled by two cubic B-spline curves with four control points;
the control points of the molded lines of the casing are respectivelyA 1 、A 2 、A 3 AndA 4 middle line section ofA 1 A 2 Remain horizontal, line segmentA 3 A 4 Keeping vertical, recording line segmentA 1 A 2 Has a length ofL 1 Line segmentA 3 A 4 Has a length ofL 2 ;
The control points of the hub profile are respectivelyA 5 、A 6 、A 7 AndA 8 middle line section ofA 5 A 6 Remain horizontal, line segmentA 7 A 8 Keeping vertical, recording line segmentA 5 A 6 Has a length ofL 3 Line segmentA 7 A 8 Has a length ofL 4 ;
Wherein the control pointA 1 And a control pointA 5 Have the same abscissa, control pointA 4 And a control pointA 8 The ordinate is the same;
control pointA 1 On the ordinate ofR 1 Control pointA 5 On the ordinate ofR 2 Control pointA 4 And a control pointA 8 On the ordinate ofR 3 Control pointA 4 And a control pointA 8 The difference of the abscissa of the blade is the width of the bladeB。
L 1 In the range of 0.3 (R 1 -R 2 )~0.6(R 1 -R 2 ),L 2 The range of (1) is 0.9B to 1.1B,L 3 In the range of 1.2 (R 1 -R 2 )~1.4(R 1 -R 2 ), L 4 The range of (1) is 1.2B to 1.4B. By defining control pointsA 1 And a control pointA 5 Are the same on the abscissa, and control pointsA 4 And a control pointA 8 The longitudinal coordinates of the centrifugal fan are the same, and the flow channel structure for axial air inlet and radial air outlet of the centrifugal fan is ensured, specifically, the width of the blade is also the width of the outlet of the impeller.
Preferably, in the step a3, 1 to 15 blade height sections are taken between the casing profile and the hub profile by an interpolation method.
Specifically, the interpolation method is a Lagrange interpolation method, because the flow fields at different blade heights are different, blade profile interception is performed between the casing profile and the hub profile according to the determined casing profile and hub profile through the interpolation method, and each blade height is designed independently to fit the actual flow field.
As shown in fig. 3, in the present embodiment, in the step a3, the height gradient between the casing profile and the hub profile is 10% by using an interpolation method, and the blade height sections are respectively constructed from 0%, 10%, 20%, 30%, 40%, 50%, 60%, 70%, 80%, 90% and 100%.
The number of interpolation methods is 1 to 15, in this embodiment, the more the number of interpolation methods is, the more the blade profile of the impeller is attached to the actual flow field, the higher the efficiency is, and the smaller the loss is, according to the change of 10% height gradient. When the designed blade height section is more, the corresponding design variable is more, and when the blade height section is too small, the blade profile distortion is caused, and the surface is not continuous enough.
Each blade height section needs to design a three-dimensional element-level molded line independently, a three-dimensional space curve is converted into a two-dimensional curve through angle preserving transformation, and a three-dimensional coordinate system is used for unfolding the three-dimensional section molded line into a two-dimensional planeConversion into two dimensionsA flow surface coordinate system. In step a4, a two-dimensional leaf pattern is definedUnder the coordinate system of the flow surface,the flow surface coordinate system is obtained by a three-dimensional cylindrical coordinate system through angle-preserving transformation:
wherein ,zare the coordinate values in the axial direction,rare the coordinate values in the radial direction,θis a circumferential angle, definemThe length of the meridian is taken as the length of the meridian,m’dimensionless meridian length;
for the leaf-shaped discrete points under the three-dimensional Cartesian coordinate system, the two-dimensional discrete points are obtained by the following trapezoidal rule integrationCoordinates are as follows:
wherein, the corner markiAre numbered for discrete points, andzthe plane perpendicular to the axis isxoyThe plane surface is provided with a plurality of parallel planes,xis composed ofxoyOf planexThe coordinate values of the direction are,yis composed ofxoyOf planeyThe coordinate value of the direction is set,zare the coordinate values in the axial direction,rare coordinate values in the radial direction, wherein。
As shown in FIGS. 4 to 6, in step a5, the blade profile is formed by the leading edgeP 1 S 1 The trailing edgeP 4 S 4 Suction surfaceS 1 S 2 S 3 S 4 Pressure surfaceP 1 P 2 P 3 P 4 Four sections of curves, wherein the suction surface and the pressure surface are 3-order B-spline curves with four control points, the front edge and the tail edge are respectively arcs,P 1 、P 2 、P 3 andP 4 are all control points of the pressure surface,S 1 、S 2 、S 3 andS 4 all are control points of the suction surface;
wherein the line segmentsP 1 P 2 And line segmentS 1 S 2 Parallel, line segmentsP 2 P 3 And line segmentS 2 S 3 Parallel, line segmentsP 3 P 4 And line segmentS 3 S 4 Parallel connection;
definition ofβ 1 Is the inlet air flow angle of the air conditioner,β 1 is a line segmentS 1 S 2 And line segmentS 1 S 4 Included angle of 25 degrees or lessβ 1 ≤45°;
Definition ofβ 2 In order to obtain an outlet air flow angle,β 2 is a line segmentS 3 S 4 And line segmentS 1 S 4 Included angle of 25 degrees or lessβ 2 ≤45°;
Definition ofS 1 AndP 1 is a distance ofR l And line segmentS 1 S 4 Is the coefficient of the leading edgeχ l ,0.01≤χ l ≤0.04;
Definition ofS 4 AndP 4 is a distance ofR t And line segmentS 1 S 4 Is the trailing edge coefficientχ t ,0.005≤χ t ≤0.02;
Defining a suction surface distance line segmentS 1 S 4 Maximum value of (C) is camberf,0.05≤f≤0.2。
The leading edge coefficient and the trailing edge coefficient directly influence the thickness of the blade profile, and if the leading edge coefficient and the trailing edge coefficient are too large and the blade profile is too thick, the mass of the impeller is heavy, so that the high-speed centrifugal fan is difficult to start; if the leading edge coefficient and the trailing edge coefficient are too small and the blade profile is too thin, the structural strength of the impeller is not enough and the impeller is easy to break; further, by defining the camber of the blade profile, if the camber is too large, the airflow is easily separated, resulting in an increase in airflow loss; and if the camber of the blade profile is too small, the working capacity of the blade is insufficient.
As shown in fig. 7 and fig. 11, in step a6, further explanation is providedUnder the coordinate system of the flow surface,abscissa of flow surface coordinate systemθThe unit of (A) is radian, the two-dimensional blade profile is placed, and the maximum wrap angle is definedθ max ,Will be two-dimensionalAnd converting the coordinates into three-dimensional Cartesian coordinates to obtain three-dimensional leaf profiles at different leaf heights, and mixing the three-dimensional leaf profiles through boundaries to obtain the three-dimensional leaf profiles.
As shown in fig. 12, in step a8, the profile of the volute is an involute spiral, and the profile of the volute is formed by five arcs connected in sequenceC 1 、C 2 、C 3 、C 4 、C 5 And a section of straight lineD 1 Make up of a straight lineD 1 Is connected to an arc lineC 5 The terminal of (a);
G 1 to is thatG 2 The arc line between them is arc lineC 1 Arc line of curvatureC 1 Corresponding center of circle isO 1 ,O 1 Is the center of a circle and an arc line of the impellerC 1 Corresponding radius isE 1 ;
G 2 ToG 3 The arc line between them is arc lineC 2 Arc lineC 2 Corresponding center of circle isO 2 Arc lineC 2 Corresponding radius isE 2 ;
G 3 ToG 4 The arc line between them is arc lineC 3 Arc lineC 3 Corresponding center of circle isO 3 Arc line of curvatureC 3 Corresponding radius isE 3 ;
G 4 To is thatG 5 The arc line between them is an arc lineC 4 Arc lineC 4 Corresponding center of circle isO 4 Arc lineC 4 Corresponding to a radius ofE 4 ;
G 5 ToG 6 The arc line between them is arc lineC 5 Arc lineC 5 Corresponding center of circle isO 5 Arc lineC 5 Corresponding radius isE 5 ;
In the present embodiment, the center of the circle is pointedO 1 The included angle of (A): angle of erectionG 1 O 1 G 2 =85°~95°,∠G 2 O 1 G 3 =20°~30°,∠G 3 O 1 G 4 =90°,∠G 4 O 1 G 5 =90 °, straight lineD 1 Angle to vertical lineHIs 8-15 degrees;
E 1 =32mm~35mm,E 2 =32mm~35mm,E 3 =34mm~37mm,E 4 =36mm~39mm,E 5 =21 mm-23 mm and the center of the circleO 2 Center of circleO 3 And the center of the circleO 4 To form an isosceles right triangle,O 2 O 3 =O 3 O 4 =2mm。
the molded line of the volute is an involute spiral line, diffusion is carried out after the matching design of the volute is carried out according to the wind wheel, and a part of dynamic pressure generated by the impeller is converted into static pressure so as to obtain higher vacuum degree and meet the requirement of high vacuum degree of the sweeper.
A design device of a high-speed centrifugal fan special for a sweeping robot is used for executing a design method of the high-speed centrifugal fan special for the sweeping robot, and comprises the following steps:
a profile drawing module for drawing a profile according to an impeller inlet radiusR 1 Impeller radiusR 3 And blade widthBRespectively controlling the casing profile and the hub profile of the impeller by a four-point control method, and drawing the profiles of the casing and the hub of the impeller on a meridian flow surface;
the blade height section intercepting module is used for taking a plurality of blade height sections between a casing molded line and a hub molded line of the impeller;
a coordinate system conversion module for converting each three-dimensional leaf height section into a two-dimensional plane through angle preserving transformation, and converting the coordinate system from a three-dimensional coordinate systemConversion into two dimensionsA flow surface coordinate system;
design module of blade profile for use inUnder a flow surface coordinate system, a blade profile is independently designed on a two-dimensional plane corresponding to each blade height;
a three-dimensional blade profile obtaining module for passing each designed blade profile through two dimensionsThe coordinates are converted into three-dimensional Cartesian coordinates, i.e. three-dimensional blade profiles at different blade heights, and the maximum wrap angle is setThe three-dimensional leaf profile is obtained by placing;
the impeller obtaining module is used for combining the designed three-dimensional impeller profile with the casing profile and the hub profile of the impeller to obtain the impeller;
and the volute design module is used for matching and designing the volute in a spiral involute mode according to the designed impeller and the flow field to obtain the volute.
The design device of the special high-speed centrifugal fan for the floor sweeping robot is used for designing the special high-speed centrifugal fan for the floor sweeping robot, parameter optimization can be carried out according to specific working conditions in the design process, the whole design process adopts computer-aided design, manual errors are reduced, the design efficiency is improved, and parameters can be adjusted conveniently. It should be noted that, according to the actual situation, the designer determines the radius of the impeller inlet according to the installation size of the high-speed centrifugal fanR 1 Radius of impellerR 3 And blade widthBAnd determining the hub radius for a given motor sizeR 2 And then input into a computer, and then the leaf profile is generated in three dimensions.
As shown in fig. 13 and 14, the high-speed centrifugal fan specially used for the sweeping robot is designed by using the design method of the high-speed centrifugal fan specially used for the sweeping robot, and comprises a volute 1 and an impeller 2 arranged in the volute 1, wherein the impeller 2 comprises a hub 21, a casing 22 and blades 23, the periphery of the hub 21 is annularly provided with a plurality of blades 23, and the casing 22 is arranged on two sides of the blades 23 in the rotation direction;
the static pressure efficiency of the high-speed centrifugal fan at a design rotating speed of 30000rpm is 36% -42%, the noise at a rated working point is 63-68db, and the vacuum degree is 5800-6400pa.
Example 1
For-G 1 O 1 G 2 =88°,∠G 2 O 1 G 3 =24.8°,∠G 3 O 1 G 4 =90°,∠G 4 O 1 G 5 =90 °, straight lineD 1 Angle to vertical lineHIs 12 degrees,E 1 =33.8mm,E 2 =33.3mm,E 3 =35.3mm,E 4 =37.3mm,E 5 =22mm. Impeller inlet radius R 1 =12mm, impeller radius R 3 =30mm, blade width B =6mm, hub radius R 2 =4mm。L 1 The thickness of the glass is 2.6mm,L 2 the thickness of the glass is 5.4mm,L 3 the thickness of the film is 10.0mm,L 4 is 7.8mm. An outer rotor brushless direct current motor is adopted, and the design rotating speed of the motor is 30000rpm. The two-dimensional leaf profile parameters are:β 1 =30°,β 2 =25°,θ max =25 °, camberf=0.12,Coefficient of frontχ l =2%, trailing edge coefficientχ t =0.4%。
Example 2
For angleG 1 O 1 G 2 =88°,∠G 2 O 1 G 3 =24.8°,∠G 3 O 1 G 4 =90°,∠G 4 O 1 G 5 =90 ° straight lineD 1 Angle to vertical lineHIs 12 degrees,E 1 =33.8mm,E 2 =33.3mm,E 3 =35.3mm,E 4 =37.3mm,E 5 =22mm. Impeller inlet radius R 1 =12mm, impeller radius R 3 =30mm, blade width B =6mm, hub radius R 2 =4mm。L 1 The thickness of the glass is 2.6mm,L 2 the thickness of the glass is 5.4mm,L 3 the thickness of the film is 10.0mm,L 4 is 7.8mm. An outer rotor brushless direct current motor is adopted, and the design rotating speed of the motor is 30000rpm. The two-dimensional leaf profile parameters are:β 1 =35°,β 2 =30°,θ max =35 ° camberf=0.12,Coefficient of leading edgeχ l =2%, trailing edge coefficientχ t =0.4%。
Example 3
For angleG 1 O 1 G 2 =88°,∠G 2 O 1 G 3 =24.8°,∠G 3 O 1 G 4 =90°,∠G 4 O 1 G 5 =90 ° straight lineD 1 Angle to vertical lineHIs 12 degrees,E 1 =33.8mm,E 2 =33.3mm,E 3 =35.3mm,E 4 =37.3mm,E 5 =22mm. Impeller inlet radius R 1 =12mm, impeller radius R 3 =30mm, blade width B =6mm, hub radius R 2 =4mm。L 1 The thickness of the glass is 2.6mm,L 2 the thickness of the glass is 5.4mm,L 3 the thickness of the film is 10.0mm,L 4 is 7.8mm. An outer rotor brushless direct current motor is adopted, and the design rotating speed of the motor is 30000rpm. The two-dimensional leaf profile parameters are:β 1 =40°,β 2 =35°,θ max =40 °, camberf=0.12,Coefficient of leading edgeχ l =2%, trailing edge coefficientχ t =0.4%。
Example 4
In the high-speed centrifugal fan in the embodiment, the size of the volute is fixed, and the angle is adjustedG 1 O 1 G 2 =88°,∠G 2 O 1 G 3 =24.8°,∠G 3 O 1 G 4 =90°,∠G 4 O 1 G 5 =90 °, straight lineD 1 Angle to vertical lineHIs 12 degrees,E 1 =33.8mm,E 2 =33.3mm,E 3 =35.3mm,E 4 =37.3mm,E 5 =22mm. Impeller inlet radius R 1 =12mm, impeller radius R 3 =30mm, blade width B =6mm, hub radius R 2 =4mm。L 1 The thickness of the glass is 2.6mm,L 2 the thickness of the glass is 5.4mm,L 3 the thickness of the film is 10.0mm,L 4 is 7.8mm. An outer rotor brushless direct current motor is adopted, and the design rotating speed of the motor is 30000rpm. The two-dimensional leaf profile parameters are:β 1 =45°,β 2 =40°,θ max =50 °, camberf=0.12,Coefficient of leading edgeχ l =2%, trailing edge coefficientχ t =0.4%。
Examples 1 to 4 use volutes of the same size.
Comparative example 1
The volute is adopted in the comparative example, the blade profile of the impeller is a double-arc blade profile, the geometric inlet angle of the blade profile is 60 degrees, the outlet angle is 45 degrees, the connecting position of the two arcs is 30% of chord length, the tangent angle of the connecting position is 45 degrees, the two-dimensional blade profile is radially stretched by 6mm to generate a three-dimensional blade profile, and the three-dimensional blade profile is arrayed into 13 blades along the circumferential direction to generate a three-dimensional centrifugal impeller model. The impeller has an outer diameter of 30mm and an inner diameter of 12mm.
The air volume, the static pressure efficiency and the noise were measured for examples 1 to 4 and comparative example, and the test results are shown in table 1 below:
TABLE 1 test results of examples 1 to 4 and comparative examples
Fig. 15 to 18 are flow charts of examples 1 to 4 of the present invention at a blade height cross section of 50% under a back pressure of 5000pa, and through numerical simulation results of a comparison example with examples 1, 2, 3 and 4, as shown in table 1, in example 1~4, the air volume of a fan is greatly increased and the fan efficiency is effectively increased by changing the blade profile parameters without changing the volute. The fan in example 3 performs optimally for a given operating pressure of 5000. Compared with other embodiments, the embodiment 3 changes the maximum wrap angle of the blade, improves the efficiency of the fan, and reduces the working noise of the fan.
The high-speed centrifugal fan designed by the design method of the special high-speed centrifugal fan for the sweeping robot has the advantages of high efficiency, high static pressure, low noise and high vacuum degree, and is applied to the sweeping robot, and the sweeping robot has a good dust collection effect.
The technical principles of the present invention have been described above with reference to specific embodiments. The description is made for the purpose of illustrating the principles of the invention and should not be construed in any way as limiting the scope of the invention. Based on the explanations herein, those skilled in the art will be able to conceive of other embodiments of the present invention without inventive effort, which would fall within the scope of the present invention.
Claims (10)
1. A design method of a high-speed centrifugal fan special for a sweeping robot is characterized by comprising the following steps:
step a1, determining the radius of an inlet of an impeller according to the installation size of a high-speed centrifugal fanR 1 Radius of impellerR 3 And blade widthBDetermining the hub radius for a given motor sizeR 2 ;
Step a2, according to the inlet radius of the impellerR 1 Radius of impellerR 3 And blade widthBRespectively controlling the casing profile and the hub profile of the impeller by a four-point control method to draw the profiles of the casing and the hub of the impeller on a meridian flow surface;
a3, cutting a plurality of blade height sections between a casing molded line and a hub molded line of the impeller;
step a4, converting each three-dimensional leaf height section into a two-dimensional plane through angle preserving transformation, and converting a coordinate system from a three-dimensional coordinate systemConversion into two dimensionsA flow surface coordinate system;
step a5 inUnder a flow surface coordinate system, a blade profile is independently designed on a two-dimensional plane corresponding to each blade height;
step a6, passing each designed blade profile in two dimensionsThe coordinates are converted into three-dimensional Cartesian coordinates, i.e. three-dimensional blade profiles at different blade heights, and the maximum wrap angle is setThe three-dimensional leaf profile is obtained by placing;
step a7, combining the designed three-dimensional blade profile with a casing profile and a hub profile of the impeller to obtain the impeller;
and a8, matching and designing the volute in a spiral involute mode according to the designed impeller and the flow field to obtain the volute.
2. The design method of the high-speed centrifugal fan special for the sweeping robot according to claim 1, wherein in the step a2, a meridian flow surface molded line is on a z-r plane and respectively consists of a casing molded line and a hub molded line, and the casing molded line and the hub molded line are respectively controlled by cubic B-spline curves of two four control points;
the control points of the molded lines of the casing are respectivelyA 1 、A 2 、A 3 AndA 4 line segment thereofA 1 A 2 Remain horizontal, line segmentA 3 A 4 Keeping vertical, recording line segmentA 1 A 2 Has a length ofL 1 Line segmentA 3 A 4 Has a length ofL 2 ;
The control points of the hub profile are respectivelyA 5 、A 6 、A 7 AndA 8 middle line section ofA 5 A 6 Remain horizontal, line segmentA 7 A 8 Keeping vertical, recording line segmentA 5 A 6 Has a length ofL 3 Line segmentA 7 A 8 Has a length ofL 4 ;
Wherein the control pointA 1 And a control pointA 5 Have the same abscissa, control pointA 4 And a control pointA 8 The ordinate is the same;
control pointA 1 On the ordinate ofR 1 Control pointA 5 On the ordinate ofR 2 Control pointA 4 And a control pointA 8 On the ordinate ofR 3 Control pointA 4 And a control pointA 8 The difference of the abscissa of the blade is the width of the bladeB;
3. The design method of the high-speed centrifugal fan special for the sweeping robot according to claim 1, wherein in the step a3, 1-15 blade height sections are taken between a shell molded line and a hub molded line by an interpolation method.
4. The design method of the high-speed centrifugal fan special for the sweeping robot according to claim 3, wherein in the step a3, the blade height sections of 0%, 10%, 20%, 30%, 40%, 50%, 60%, 70%, 80%, 90% and 100% are respectively constructed by adopting an interpolation method according to a height gradient change of 10% between the casing profile and the hub profile.
5. The method for designing the high-speed centrifugal fan specially used for the sweeping robot according to claim 1, wherein in the step a4, the two-dimensional blade profile is defined inUnder the coordinate system of the flow surface,the flow surface coordinate system is obtained by a three-dimensional cylindrical coordinate system through angle-preserving transformation:
wherein ,zis a coordinate value in the axial direction of the shaft,rthe coordinate values in the radial direction are shown, theta is a circumferential angle, m is defined as the meridian length, and m' is the dimensionless meridian length;
for the leaf-shaped discrete points under the three-dimensional Cartesian coordinate system, the two-dimensional discrete points are obtained by the following trapezoidal rule integrationCoordinates are as follows:
wherein, the corner markiAre numbered for discrete points, andzthe plane perpendicular to the axis isxoyThe plane surface is provided with a plurality of parallel planes,xis composed ofxoyOf planexThe coordinate values of the direction are,yis composed ofxoyOf planeyThe coordinate values of the direction are,zare the coordinate values in the axial direction,rare coordinate values in the radial direction, wherein。
6. The method for designing the high-speed centrifugal fan special for the sweeping robot according to claim 1, wherein in the step a5, the blade profile is formed by a leading edgeP 1 S 1 The trailing edgeP 4 S 4 Suction surfaceS 1 S 2 S 3 S 4 Pressure surfaceP 1 P 2 P 3 P 4 Four sections of curves, wherein the suction surface and the pressure surface are 3-order B-spline curves with four control points, the front edge and the tail edge are respectively arcs,P 1 、P 2 、P 3 andP 4 are all control points of the pressure surface,S 1 、S 2 、S 3 andS 4 all are control points of the suction surface;
wherein the line segmentsP 1 P 2 And line segmentS 1 S 2 Parallel, line segmentsP 2 P 3 And line segmentS 2 S 3 Parallel, line segmentsP 3 P 4 And line segmentS 3 S 4 Parallel connection;
definition ofβ 1 Is the inlet air flow angle of the air conditioner,β 1 is a line segmentS 1 S 2 And line segmentS 1 S 4 Included angle of 25 degrees or lessβ 1 ≤45°;
Definition ofβ 2 In order to obtain an outlet air flow angle,β 2 is a line segmentS 3 S 4 And line segmentS 1 S 4 Included angle of 25 degrees or lessβ 2 ≤45°;
Definition ofS 1 AndP 1 is a distance ofR l And line segmentS 1 S 4 Is the coefficient of the leading edgeχ l ,0.01≤χ l ≤0.04;
Definition ofS 4 AndP 4 is a distance ofR t And line segmentS 1 S 4 Is the trailing edge coefficientχ t ,0.005≤χ t ≤0.02;
Defining a suction surface distance line segmentS 1 S 4 Maximum value of (2) is camberf,0.05≤f≤0.2。
7. The method for designing the high-speed centrifugal fan specially used for the sweeping robot according to claim 6, wherein in the step a6, the centrifugal fan is used for cleaning the floorUnder the coordinate system of the flow surface,the unit of the abscissa theta of the flow surface coordinate system is radian, the two-dimensional blade profile is placed, the maximum wrap angle theta max is defined, and the two-dimensional blade profile is subjected to the following two-dimensional wrappingAnd converting the coordinates into three-dimensional Cartesian coordinates to obtain three-dimensional leaf profiles at different leaf heights, and mixing the three-dimensional leaf profiles through boundaries to obtain the three-dimensional leaf profiles.
8. The design method of the high-speed centrifugal fan special for the sweeping robot according to claim 1, wherein in the step a8, the molded line of the volute is an involute spiral line, and the molded line of the volute is formed by five arc lines which are sequentially connectedC 1 、C 2 、C 3 、C 4 、C 5 And a section of straight lineD 1 Composition, straight lineD 1 Connected to the arc lineC 5 The terminal of (a);
G 1 to is thatG 2 The arc line between them is arc lineC 1 Arc line of curvatureC 1 Corresponding center of circle isO 1 ,O 1 Is the center of a circle and an arc line of the impellerC 1 Corresponding radius isE 1 ;
G 2 ToG 3 The arc line between them is arc lineC 2 Arc lineC 2 Corresponding center of circle isO 2 Arc line of curvatureC 2 Corresponding radius isE 2 ;
G 3 ToG 4 The arc line between them is arc lineC 3 Arc lineC 3 Corresponding center of circle isO 3 Arc lineC 3 Corresponding radius isE 3 ;
G 4 ToG 5 The arc line between them is arc lineC 4 Arc lineC 4 Corresponding center of circle isO 4 Arc line of curvatureC 4 Corresponding radius isE 4 ;
G 5 ToG 6 The arc line between them is arc lineC 5 Arc lineC 5 Corresponding center of circle isO 5 Arc lineC 5 Corresponding radius isE 5 ;
To the center of a circleO 1 The included angle of (A): angle crossingG 1 O 1 G 2 =85°~95°,∠G 2 O 1 G 3 =20°~30°,∠G 3 O 1 G 4 =90°,∠G 4 O 1 G 5 =90Degree, straight lineD 1 Angle to vertical lineHIs 8-15 degrees;
E 1 =32mm~35mm,E 2 =32mm~35mm,E 3 =34mm~37mm,E 4 =36mm~39mm,E 5 =21 mm-23 mm and the center of the circleO 2 Center of circleO 3 And the center of a circleO 4 To form an isosceles right triangle,O 2 O 3 =O 3 O 4 =2mm。
9. a design device of a high-speed centrifugal fan special for a sweeping robot is characterized in that the design device is used for executing the design method of the high-speed centrifugal fan special for the sweeping robot according to any one of claims 1 to 8, and comprises the following steps:
a profile drawing module for drawing a profile according to an impeller inlet radiusR 1 Impeller radiusR 3 And blade widthBRespectively controlling the casing profile and the hub profile of the impeller by a four-point control method, and drawing the profiles of the casing and the hub of the impeller on a meridian flow surface;
the blade height section intercepting module is used for taking a plurality of blade height sections between a casing molded line and a hub molded line of the impeller;
a coordinate system conversion module for converting each three-dimensional leaf height section into a two-dimensional plane through angle preserving transformation, and converting the coordinate system from a three-dimensional coordinate systemConversion into two dimensionsA flow surface coordinate system;
design module of blade profile for use inUnder a flow surface coordinate system, a blade profile is independently designed on a two-dimensional plane corresponding to each blade height;
a three-dimensional blade profile obtaining module for passing each designed blade profile through two dimensionsThe coordinates are converted into three-dimensional Cartesian coordinates, i.e. three-dimensional blade profiles at different blade heights, and the maximum wrap angle is setThe three-dimensional leaf profile is obtained by placing;
the impeller obtaining module is used for combining the designed three-dimensional impeller profile with the casing profile and the hub profile of the impeller to obtain the impeller;
and the volute design module is used for matching and designing the volute in a spiral involute mode according to the designed impeller and the flow field to obtain the volute.
10. The special high-speed centrifugal fan for the sweeping robot is characterized by being designed by the design method of the special high-speed centrifugal fan for the sweeping robot according to any one of claims 1 to 8, and comprising a volute and an impeller arranged in the volute, wherein the impeller comprises a hub, a shell and blades, the periphery of the hub is annularly provided with the blades, and the shell is arranged on two sides of the blades in the rotating direction;
the static pressure efficiency of the high-speed centrifugal fan at a design rotating speed of 30000rpm is 36% -42%, the noise at a rated working point is 63-68db, and the vacuum degree is 5800-6400pa.
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