Method of bottom-entry magnetic stirring device
12151221 ยท 2024-11-26
Assignee
Inventors
- Liang Wu (Wenzhou, CN)
- Zhigeng Zhang (Wenzhou, CN)
- Zhijian Huang (Wenzhou, CN)
- Xu Xu (Wenzhou, CN)
- Bingxin Wang (Wenzhou, CN)
- Yulao Zhang (Wenzhou, CN)
- Benchi Xu (Wenzhou, CN)
- Minghui Xie (Wenzhou, CN)
- Xuxing Cheng (Wenzhou, CN)
- Wenjiang Wu (Wenzhou, CN)
Cpc classification
B01F33/4535
PERFORMING OPERATIONS; TRANSPORTING
International classification
Abstract
A design method of bottom-entry magnetic stirring device is disclosed in which the stirring device includes an impeller assembly and an isolation sleeve which are connected axially in a movable manner. The isolation sleeve restricts the axial movement distance of the impeller assembly through the principle of magnetic levitation. The impeller assembly is suitable for driving the material in the middle of the stirring tank to move downwards. The isolation sleeve is set with downward magnetic force towards the impeller assembly, and the impeller assembly is in a suspended state when rotating, satisfying the formula Fvi+Ff=G+Fc. Thus, in the case of known impeller thrust Fvi or repulsive force Fc between magnets, the repulsive force Fc between magnets or impeller thrust Fvi can be obtained, thereby obtaining the design parameters of the magnets and the rotating speed of the drive shaft when it rotates stably.
Claims
1. A design method of bottom-entry magnetic stirring device, wherein the stirring device comprise an impeller assembly and an isolation sleeve, wherein the impeller assembly and the isolation sleeve are connected along an axial direction in a movable manner, the impeller assembly is capable of driving a material in the middle of a stirring tank to move downward, wherein the isolation sleeve is equipped with a limiting structure which is provided at an upper part of the impeller assembly and is capable of generating a magnetic force acting on the impeller assembly, wherein the magnetic force has a downward component which restricts the impeller assembly to be in a suspended state during stable rotation, the limiting structure comprises a first magnet, and a second magnet is provided on the impeller assembly, the first magnet and the second magnet are axially arranged by magnetic repulsion, and a magnetic force of the first magnet is set downward against the second magnet, wherein the isolation sleeve restricts the axial movement distance of the impeller assembly through the principle of magnetic levitation, and the impeller assembly is in a suspended state during rotating, wherein the design method comprises the following steps: S100, according to the physical shape of a conventional impeller assembly, analyzing the weight m and the volume Vf of the impeller assembly by simulation software; S200, calculating the gravity G=mg and buoyancy Ff=.sub.liquidgVf of the impeller assembly, and taking .sub.liquid=1.0103 kg/m.sup.3, g=9.8 N/kg; S300, assuming the impeller thrust is Fvi, and the repulsive force between the magnets is Fc, and according to the equation Fvi+Ff=G+Fc, obtaining the repulsive force Fc between the magnets under a condition of known impeller thrust Fvi, or obtaining the impeller thrust Fvi under a condition of known repulsive force Fc between the magnets, so as to obtain design parameters of the magnets and the rotating speed of a driving shaft when the driving shaft rotates stably; S600, obtaining the cross-sectional area A.sub.1 of the first magnet perpendicular to the magnetic field direction, the cross-sectional area A.sub.2 of the second magnet perpendicular to the magnetic field direction, the magnetic field strength H.sub.1 of the first magnet, the magnetic field strength H.sub.2 of the second magnet, and the magnetic permeability .sub.0 in vacuum when the shapes and magnetic field strengths of the first magnet and the second magnet, and the distance r between the first magnet and the second magnet when the impeller assembly is stably rotating are assumed to be known, and obtaining the repulsive force Fc between the magnets when the impeller assembly is stably rotating according to the formula F.sub.c=(.sub.0H.sub.1A.sub.1H.sub.2A.sub.2)/(4r.sup.2); and S700, obtaining the impeller thrust Fvi according to the equation Fvi=Fc+GFf, and obtaining the value of the rotating speed n of the driving shaft when the impeller assembly is stably rotating according to the formula
2. The design method of bottom-entry magnetic stirring device of claim 1, further comprising a step: S400, obtaining the impeller thrust Fvi which satisfies the formula
3. The design method of bottom-entry magnetic stirring device of claim 2, further comprising the following step: S500, determining the distance r between the first magnet and the second magnet when the impeller assembly rotates stably according to the formula F.sub.c=(.sub.0H.sub.1A.sub.1H.sub.2A.sub.2)/(4r.sup.2), wherein the shape and magnetic field strength of the first magnet and the second magnet are known, the cross-sectional area of the first magnet perpendicular to the direction of the magnetic field is determined to be A.sub.1, the cross-sectional area of the second magnet perpendicular to the direction of the magnetic field is A.sub.2, the magnetic field strength of the first magnet is H.sub.1, the magnetic field strength of the second magnet is H.sub.2, the magnetic permeability in vacuum is .sub.0.
4. The design method of bottom-entry magnetic stirring device of claim 2, further comprising a step of determining the magnetic field strength H.sub.1 of the first magnet and the magnetic field strength H.sub.2 of the second magnet according the formula
5. The design method of bottom-entry magnetic stirring device of claim 1, wherein the installation angle of the impeller assembly is , and the installation angle is the angle between the impeller assembly and the axis of rotation, wherein the axial component of gravity is G1=Gcos , and the axial component of buoyancy is Ff=.sub.liquidgVf, meeting the formula F.sub.vi+F.sub.f=G.sub.1+F.sub.c.
6. The design method of bottom-entry magnetic stirring device of claim 1, wherein the impeller assembly comprises a transmission seat and an impeller body, the impeller body is fixedly connected to the transmission seat and is arranged in the vertical direction, the transmission seat is sleeved outside the isolation sleeve, the driving shaft drives the transmission seat to transmit power through magnetic transmission, and drives the impeller body to rotate, thereby driving the material in the middle of the stirring tank to move downward, wherein a lower part of the isolation sleeve is provided with a third magnet, and a lower part of a transmission seat is provided with a fourth magnet coupled with the third magnet, and a magnetic force Fx repelling each other in the up and down directions is generated between the third magnet and the fourth magnet, and the impeller assembly is in a suspended state with respect to the isolation sleeve when the impeller assembly is not started, and the distance r.sub.1 between the first magnet and the second magnet is controlled to be greater than 5r, according to the formula F.sub.f+F.sub.x=G, the value of the magnetic force Fx is obtained, and thus the third magnet and the fourth magnet capable of generating the magnetic force Fx of the required value and direction are selected.
7. The design method of bottom-entry magnetic stirring device of claim 6, further comprising a step of obtaining the distance r.sub.2 between the third magnet and the fourth magnet when the impeller assembly is not started and is in a suspended state with respect to the isolation sleeve according to the formula F.sub.x=(.sub.0H.sub.3A.sub.3H.sub.4A.sub.4)/(4r.sub.2.sup.2), so that the impeller assembly is controlled to be in the suspended state when the impeller assembly is not started, wherein the distance r.sub.2 between the third magnet and the fourth magnet satisfies the formula r.sub.1r>5r.sub.2, wherein the magnetic field intensity of the third magnet is H.sub.3, the magnetic field intensity of the fourth magnet is known as H.sub.4, the cross-sectional area of the third magnet perpendicular to the direction of the magnetic field is A.sub.3, and the cross-sectional area of the fourth magnet perpendicular to the direction of the magnetic field is A.sub.4, and the magnetic permeability in vacuum is .sub.0.
8. The design method of bottom-entry magnetic stirring device of claim 1, wherein a sliding column is provided at the top of the isolation sleeve in an upwardly protruding manner along the axial direction, and the sliding column is fixedly connected to the isolation sleeve, wherein the impeller assembly comprises a transmission seat and an impeller body, the impeller body is fixedly connected to the transmission seat and is arranged in the vertical direction, the transmission seat is sleeved outside the isolation sleeve, the driving shaft drives the transmission seat to transmit power through magnetic transmission, and drives the impeller body to rotate, thereby driving the material in the middle of the stirring tank to move downward, the impeller body is sleeved outside the sliding column, and an inner wall of the impeller body is arranged for abutting against an outer peripheral surface of the sliding column and limiting the radial displacement of the impeller body, the sliding frictional force between the impeller body and the sliding column is Fm which is capable of being measured experimentally, wherein when the impeller assembly rotates stably, the formula F.sub.vi+F.sub.f+F.sub.m=G+F.sub.c is satisfied.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1)
(2)
(3)
(4)
(5) In the drawings: 1, isolation sleeve; 11, limiting structure; 12, sliding column; 121, first magnet; 13, mounting portion; 131, third magnet; 2, impeller assembly; 21, transmission seat; 211, transmission magnet; 212, fourth magnet; 22, impeller body; 221, second magnet; 100, driving shaft; 101, driving magnet; 200, stirring tank.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT
(6) Next, in conjunction with specific embodiments, further description of the present application will be made. It should be noted that, under the premise of non-conflict, the various embodiments described below or the various technical features can be combined in any manner to form new embodiments.
(7) In the description of this application, it should be noted that for directional words, such as the term center, horizontal, vertical, length, width, thickness, up, down, front, back, left, right, vertical, horizontal, top, bottom, inside, outside, clockwise, counterclockwise, and other directional and positional relationships indicated are based on the orientation or positional relationships shown in the accompanying drawings. They are only used for the convenience of describing this application and simplifying the description, and do not indicate or imply that the device or component referred to must have a specific orientation, be constructed and operated in a specific orientation. They should not be understood as limiting the specific scope of protection of this application.
(8) It should be noted that the terms first, second, etc. in the specification and claims of this application are used to distinguish similar objects, and do not necessarily indicate a specific order or sequence.
(9) The terms include and have and any variations thereof used in the specification and claims of this application are intended to be non-exclusive, for example, a process, method, system, product, or device that includes a series of steps or units is not limited to those steps or units specifically listed, but may include other steps or units inherent to these processes, methods, products, or devices that are not clearly listed.
(10) Further analysis by the inventors of this application reveals that the reason for the easy wearing of the conventional magnetic stirring device is that the magnetic stirring device typically drives the material in the middle of the stirring tank 200 to move upward, and the material exerts a downward impact force on the impeller assembly 2, and this impact force increases with the increase of the stirring speed. In addition, due to the downward gravity of the impeller assembly 2, a limiting structure 11 needs to be set on the isolation sleeve 1 to withstand the action of both gravity and impact force. As the stirring speed increases, the impact force also increases, further intensifying the force acting on the limiting structure 11, causing wear and deformation of the limiting structure 11, thereby contaminating the material or causing cleaning difficulties due to material residue at the worn and deformed area.
(11) In addition, when adopting bottom-entry inclined stirring, the liquid moves upward in a spiral motion, and rotation easily forms a vortex with a downward funnel shape from the liquid surface. This vortex appears to be flowing violently, but it is actually a circumferential flow with weak mass transfer performance, and it is easy to bring gas from the gas phase space into the liquid.
(12) Based on this, the inventors of this application have developed a bottom-entry magnetic stirring device, as shown in
(13) In addition, the bottom-entry magnetic stirring device of the present application drives the liquid to move upward in a spiral motion, forming a strong mass transfer flow field, thereby increasing the uniformity of liquid stirring.
(14) In addition, the inventors of the present application have also developed a design method of the bottom-entry magnetic stirring device, the implementation of which is shown in
(15) The design method of the magnetic stirring device comprises the following steps. S100, based on the physical shape of the conventional impeller assembly 2, use simulation software to analyze the weight m and volume Vf of the impeller assembly 2. S200, calculate the gravity G=mg and buoyancy of the impeller assembly 2 Ff=.sub.liquidgVf, where .sub.liquid=1.0103 kg/m.sup.3 and g=9.8 N/kg. S300, the impeller thrust is Fvi, and the repulsive force between the magnets is Fc (referring to the repulsive force between the first magnet 121 and the second magnet 221), and satisfy the equation Fvi+Ff=G+Fc. Thus, when the impeller thrust Fvi or the repulsive force between the magnets Fc is known, the repulsive force between the magnets Fc or the impeller thrust Fvi can be obtained, and the design parameters of the magnets (the first magnet and the second magnet) and the rotating speed of the driving shaft 100 when it is stably rotating can be obtained.
(16) Due to the ability to achieve the movable connection of the impeller assembly 2 and the isolation sleeve 1 along the axial direction, the isolation sleeve 1 restricts the movement distance of the impeller assembly 2 along the axial direction through the principle of magnetic levitation. The impeller assembly 2 is suitable for driving the material in the middle of the stirring tank 200 to move downward. The isolation sleeve 1 is set with downward magnetic force and functions to keep the impeller assembly 2 in a suspended state when it rotates. The design of the bottom-entry stirring device is complicated, so that the inventors of this application further design and analyze, and develop a design method for this type of stirring device: first, analyse the physical shape of the conventional impeller assembly 2 and use simulation software to analyze the weight m and volume Vf of the impeller assembly 2. It is worth mentioning that the physical shape of the impeller assembly 2 comprises the impeller diameter and the impeller inclination angle. In order to make the impeller assembly 2 able to push the material in the middle of the stirring tank 200 to move downward, the appropriate impeller inclination angle and the rotation direction of the impeller assembly can be reasonably selected to achieve the impeller assembly 2 pushing the material in the middle of the stirring tank 200 to move downward. According to the formula Fvi+Ff=G+Fc, when the impeller thrust is known as Fvi or the repulsive force between the magnets is known as Fc, the repulsive force between the magnets Fc or the impeller thrust Fvi can be obtained, and then the design parameters of the magnets and the rotating speed of the driving shaft when the driving shaft stably rotates can be obtained. By using the physical shape of the conventional impeller assembly 2, it can avoid the need for additional moldmaking and can reduce investment costs. It can also more conveniently obtain the volume and weight of the impeller assembly 2, thereby facilitating the calculation of the design parameters of the driving shaft or the design parameters of the magnets. In this specific embodiment, the design parameters of the magnets comprise the spacing between the first magnet 121 and the second magnet 221. In this specific embodiment, as shown in
(17) Furthermore, the method preferably comprises the following step. S400, assume the parameters of the drive motor are known, and the speed of the driving shaft 100 is set to n; when the impeller assembly 2 is in stable rotation, its speed is n, and the output power of the driving shaft 100 is P.sub.q; at the same time, the diameter Dj of the impeller assembly 2 and the blade inclination angle of the impeller assembly 2 are known, so as to obtain the impeller thrust Fvi which satisfies the formula
(18)
(It is worth mentioning that the above formula is derived from the industry standard HG/T20569-2013 for mechanical stirring equipment), the value of the repulsive force Fc between the magnets an be obtained; then the shape and positional relationship of the first magnet 121 and the second magnet 221 are adjusted to meet the condition of the repulsive force Fc between the magnets.
(19) Furthermore, it is preferable to comprise the following step: S500, with the shape and magnetic field strength of the first magnet 121 and the second magnet 221 being known, obtain the cross-sectional area A.sub.1 of the first magnet 121 perpendicular to the direction of the magnetic field, the cross-sectional area A.sub.2 of the second magnet 221 perpendicular to the direction of the magnetic field, the magnetic field strength H.sub.1 of the first magnet 121, the magnetic field strength H.sub.2 of the second magnet 221, and the magnetic permeability .sub.0 in vacuum; based on the formula F.sub.c=(.sub.0H.sub.1A.sub.1H.sub.2A.sub.2)/(4r.sup.2), the distance r between the first magnet 121 and the second magnet 221 is obtained when the impeller assembly 2 rotates stably. It should be noted that the shapes and magnetic field strengths of the first magnet 121 and the second magnet 221 are known, and the installation directions of the first magnet 121 and the second magnet 221 are known. The cross-sectional area of the first magnet 121 perpendicular to the magnetic field direction can be obtained as A.sub.1, and the cross-sectional area of the second magnet 221 perpendicular to the magnetic field direction can be obtained as A.sub.2. In this specific embodiment, as shown in
(20) Embodiment 1: The known output power P of the driving shaft P.sub.q=0.42 kw, rotating speed n=500 rpm, impeller diameter D.sub.j=150 mm, blade inclination angle =15, according to the formula
(21)
thus obtain Fvi=38.7 N. In addition, the weight of the impeller assembly 2 is m=2.2 kg, resulting in the gravity G=21.56 N of the impeller assembly 2. The volume of the impeller assembly 2 is 2.7810.sup.4 m.sup.3, thus obtain the buoyancy force Ff=2.72 N, and then according to formula Fvi+Ff=G+Fc, Fc=19.86 N is obtained.
(22) The cross-sectional area of the first magnet 121 that perpendicular to the direction of the magnetic field is A.sub.1=0.001 mm.sup.2, the cross-sectional area of the second magnet 221 perpendicular to the direction of the magnetic field is A.sub.2=0.001 mm.sup.2, the magnetic field strength H.sub.1 of the first magnet 121 is 140667.7 A/m.sup.2, the magnetic field strength H.sub.2 of the second magnet 221 is 134079.3 A/m.sup.2, the magnetic permeability in vacuum .sub.0=410.sup.7 Tm/A, according the formula F.sub.c=(.sub.0H.sub.1A.sub.1H.sub.2A.sub.2)/(4r.sup.2), the distance r between the first magnet 121 and the second magnet 221 when the wheel assembly 2 is stably rotating is obtained to be approximately 9.69 mm.
(23) In this specific embodiment, the magnetic field strength H.sub.1 of the first magnet 121 and the magnetic field strength H.sub.2 of the second magnet can be measured experimentally, and the specific measurement method is known in the prior art and will not be described here.
(24) Furthermore, it is preferable that both the first magnet 121 and the second magnet 221 are annular magnets, and the outer diameter of the first magnet 121 is D1, the inner diameter is d1, and the thickness is h1; the outer diameter of the second magnet 221 is D2, the inner diameter is d2, and the thickness is h2; according to the hysteresis loop, the residual magnetic induction intensity of the first magnet 121 and the second magnet 221 are Br1 and Br2 respectively, and according to the formula
(25)
the magnetic field strength H.sub.1 of the first magnet 121 and the magnetic field strength H.sub.2 of the second magnet can be obtained. It is worth mentioning that the formula
(26)
is the derived formula of Coulomb's law.
(27) Embodiment 2: In addition to the experimental method, the magnetic field strength H.sub.1 of the first magnet 121 and the magnetic field strength H.sub.2 of the second magnet 221 can also be obtained by calculation. The outer diameter D1 of the first magnet 121 is 50 mm, the inner diameter d1 is 35 mm, the outer diameter D2 of the second magnet 221 is 55 mm, the inner diameter d2 is 40 mm, and the thickness of both the first magnet 121 and the second magnet 221 is h=6.5 mm. The residual magnetic induction intensity of the first magnet 121 is Br1=1.05T, and the residual magnetic induction intensity of the second magnet 221 is Br2=1.05T. According to the formula
(28)
the magnetic field strength H.sub.1 of the first magnet 121 is calculated to be 140667.7 A/m, and the magnetic field strength H.sub.2 of the second magnet 221 is calculated to be 134079.3 A/m. Then, based on H.sub.1 and H.sub.2, the distance r between the first magnet 121 and the second magnet 221 when the wheel assembly 2 rotates stably is calculated to be approximately 10 mm.
(29) Furthermore, the method is preferred to comprise the following steps.
(30) S600, with the shape and magnetic field strength of the first magnet and the second magnet, and the distance r between the first magnet and the second magnet when the impeller assembly rotates stably being known, obtain the cross-sectional area A.sub.1 of the first magnet perpendicular to the direction of the magnetic field, the cross-sectional area A.sub.2 of the second magnet perpendicular to the direction of the magnetic field, the magnetic field strength H.sub.1 of the first magnet, the magnetic field strength H.sub.2 of the second magnet, and the magnetic permeability .sub.0 in vacuum, according to the formula F.sub.c=(.sub.0H.sub.1A.sub.1H.sub.2A.sub.2)/(4r.sup.2), the repulsive force Fc between the magnets when the impeller component rotates stably is obtained.
(31) S700, according to the formula F.sub.vi=F.sub.c+GF.sub.f, obtain the impeller thrust F.sub.vi: set the parameters of the driving motor, the output power of the driving shaft Pq, the power number of the driving motor N.sub.p, the diameter of the impeller assembly D.sub.j to be known, according to the formula
(32)
the value of the rotating speed n of the driving shaft is determined when the impeller assembly rotates stably, and then according to the formula
(33)
the blade inclination angle of the impeller assembly is obtained.
(34) Embodiment 3: It is known that the first magnet 121 has a cross-sectional area A.sub.1 perpendicular to the direction of the magnetic field which is 0.001 mm.sup.2, the second magnet 221 has a cross-sectional area A.sub.2 perpendicular to the direction of the magnetic field which is 0.001 mm.sup.2, the magnetic field strength H.sub.1 of the first magnet 121 is 140667.7 A/m.sup.2, the magnetic field strength H.sub.2 of the second magnet 221 is 134079.3 A/m.sup.2, the magnetic permeability in vacuum .sub.0=410.sup.7Tm/A, the distance r between the first magnet 121 and the second magnet 221 is 10 mm, according to the formula F.sub.c=(.sub.0H.sub.1A.sub.1H.sub.2A.sub.2)/(4r.sup.2), the repulsive force Fc between the magnets can be calculated as 21.14 N. In this specific embodiment, the magnetic field strength H.sub.1 of the first magnet 121 and the magnetic field strength H.sub.2 of the second magnet can be measured experimentally, using a specific measurement method known in the prior art, which will not be described here. In addition to the experimental method, the magnetic field strength H.sub.1 of the first magnet 121 and the magnetic field strength H.sub.2 of the second magnet 221 can also be calculated. The outer diameter D1 of the first magnet 121 is 50 mm, the inner diameter d1 is 35 mm, the outer diameter D2 of the second magnet 221 is 55 mm, the inner diameter d2 is 40 mm, and the thickness of both the first magnet 121 and the second magnet 221 is h=6.5 mm. The residual magnetic induction intensity of the first magnet 121 is Br1=1.05T, and the residual magnetic induction intensity of the second magnet 221 is Br2=1.05T. According to the formula
(35)
the magnetic field strength H.sub.1 of the first magnet 121 is calculated to be 140667.7 A/m, and the magnetic field strength H.sub.2 of the second magnet 221 is calculated to be 134079.3 A/m.
(36) In addition, when it is known that the weight of the impeller assembly 2 is m=2.2 kg, and the gravity G=21.56 N. The volume of the impeller assembly 2 is 2.7810.sup.4 m.sup.3, thus the buoyancy Ff=2.72 N can be obtained. According to the formula Fvi=Fc+GFf, Fvi=39.98 N is obtained.
(37) Furthermore, when it is known that the output power of the driving shaft P.sub.q=0.42 kw, the diameter of the impeller D.sub.j=150 mm, and the power number of the driving motor N.sub.p=9.66. According to the formula
(38)
the rotating speed of the driving shaft n=500 rpm when the impeller assembly is stably rotating is obtained, and then according to the formula
(39)
the blade inclination angle =15 of the impeller assembly is obtained.
(40) Furthermore, as shown in
(41) S700, according to the formula Fvi=Fc+GFf, obtain the impeller thrust Fvi, when the parameters of the driving motor, the output power of the driving shaft P.sub.q, the power number of the driving motor N.sub.p, the blade inclination angle of the impeller assembly are known, according to the formula
(42)
and the formula
(43)
the diameter Dj of the impeller assembly that meets the requirements and the rotating speed n of the driving shaft are obtained. It is worth mentioning that maintaining the output power of the driving shaft P.sub.q unchanged, the mixing power will be maintaining unchanged.
(44) Example 4: It is known that the first magnet 121 has a cross-sectional area A.sub.1 perpendicular to the direction of the magnetic field which is 0.001 mm.sup.2, the second magnet 221 has a cross-sectional area A.sub.2 perpendicular to the direction of the magnetic field which is 0.001 mm.sup.2, the magnetic field strength H.sub.1 of the first magnet 121 is 140667.7 A/m.sup.2, the magnetic field strength H.sub.2 of the second magnet 221 is 134079.3 A/m.sup.2, the magnetic permeability in vacuum .sub.0=410.sup.7Tm/A, the distance r between the first magnet 121 and the second magnet 221 is 10 mm, according to the formula F.sub.c=(.sub.0H.sub.1A.sub.1H.sub.2A.sub.2)/(4r.sup.2), the repulsive force Fc between the magnets can be calculated as 21.14 N.
(45) In addition, when it is known that the weight of the impeller assembly 2 is m=2.2 kg, and the gravity G=21.56 N. The volume of the impeller assembly 2 is 2.7810.sup.4 m.sup.3, thus the buoyancy Ff=2.72 N can be obtained. According to the formula Fvi=Fc+GFf, Fvi=39.98 N is obtained.
(46) In addition, when it is known that the output power of the driving shaft P.sub.q=0.42 kw, the diameter of the impeller D.sub.j=150 mm, the power number of the driving motor N.sub.p=9.66, and the blade inclination angle is 15. According to the formula
(47)
and the formula
(48)
the rotating speed of the driving shaft n can be calculated as 500 rpm, and the diameter Dj of the impeller assembly can be calculated as 150 mm. It is worth mentioning that under the condition that Dj=150 mm, the weight and volume of the impeller assembly 2 still need not to be changed.
(49) For further optimization, the installation angle of the impeller assembly 2 is , and the installation angle is the angle between the impeller assembly and the axis of rotation. The gravitational force along the axial direction is G1=Gcos , and the buoyancy force along the axial direction is Ff=.sub.liquidgVf, satisfying the formula Fvi+Ff=G1+Fc. In this specific embodiment, the installation angle of the impeller assembly 2 is 20. Assuming that the impeller assembly 2 used has a weight of m=2.2 kg, G can be obtained as 21.56. According to G1=Gcos , it can be obtained that G1=20.26 N when =20. The volume of the impeller assembly 2 is known to be 2.7810.sup.4 m.sup.3, thereby obtaining the buoyancy force Ff=2.72 N, and then according to the formula Fvi+FfG1+Fc, obtain the magnetic parameters or speed of driving shaft under the condition of known impeller thrust Fvi or known magnetic repulsion between magnets.
(50) Furthermore, as shown in
(51) As shown in
(52) For further optimization, the magnetic field strength of the known third magnet 131 is H.sub.3, the magnetic field strength of the fourth magnet 212 is H.sub.4, the cross-sectional area of the third magnet 131 perpendicular to the magnetic field direction is A.sub.3, and the cross-sectional area of the fourth magnet 212 perpendicular to the magnetic field direction is A.sub.4. The magnetic permeability in vacuum is .sub.0, according the formula F.sub.x=((.sub.0H.sub.3A.sub.3H.sub.4A.sub.4)/(4r.sub.2.sup.2), calculate the distance r.sub.2 between the third magnet 131 and the fourth magnet 212 when the control impeller assembly 2 is not started and is in a suspended state with respect to the isolation sleeve 1. To generate an appropriate size of Fx, the appropriate distance r.sub.2 between the third magnet 131 and the fourth magnet 212 can be obtained by determining the shape of the third magnet 131 and the fourth magnet 212, as well as their positions in the magnetic field.
(53) Furthermore, when the control impeller assembly 2 is not started and is in a suspended state with respect to the isolation sleeve 1, the distance r.sub.2 between the third magnet 131 and the fourth magnet 212 satisfies r.sub.1r>5r.sub.2.
(54) In actual use, as the impeller assembly 2 starts and reaches a stable rotating state, the distance it moves upward is r.sub.1r. Therefore, the distance that the fourth magnet 212 moves upward relative to the third magnet 131 is r.sub.1r; while when the impeller assembly 2 is not started and is in a suspended state with respect to the isolation sleeve 1, the distance between the third magnet 131 and the fourth magnet 212 is r.sub.2, which satisfies r.sub.1r>5r.sub.2, that is, when the impeller assembly 2 is in a stable motion state, the magnetic force between the third magnet 131 and the fourth magnet 212 can be ignored for the axial movement of the impeller assembly 2, making it more convenient to calculate the distance r between the first magnet 121 and the second magnet 221.
(55) Furthermore, as shown in
(56) Although there is a mirror contact between the impeller body 22 and the sliding column 12, which results in a small frictional force, the size of the contact may affect the design results. Therefore, the formula can be further optimized to satisfy Fvi+Ff+Fm=G+Fc. Additionally, the value of Fm can be determined through experimental measurement.
(57) The above describes the basic principles, main features, and advantages of the present application. Those skilled in the art should understand that the present application is not limited to the above embodiments. The embodiments and descriptions provided in the specification only illustrate the principles of the present application, and various changes and improvements can be made within the scope and spirit of the present application. These changes and improvements fall within the scope of protection as defined by the appended claims and their equivalents.