CN113806882B - Determination method of multichannel partition plate of hydrocyclone feeder - Google Patents
Determination method of multichannel partition plate of hydrocyclone feeder Download PDFInfo
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Abstract
The invention relates to a method for determining a multichannel separation plate of a hydrocyclone feeder, which comprises a hollow cylinder of the feeder and a feeding body communicated with the periphery of the middle part of the hollow cylinder, wherein flanges are arranged at the upper end and the lower end of the hollow cylinder, the feeding body is provided with a rectangular cross section, and the side wall of the rectangular cross section is formed by the channel separation plate; the device is characterized in that the number of the channel separation plates is n, the feed inlet is divided into n channels, the channel separation plates are in an Archimedes spiral shape with a tapered characteristic, the channel separation plates are arranged anticlockwise, and the head end starts from an equal division point P of each channel 2i‑1 The tail end is tangential to the hollow cylinder at P 2i I is more than or equal to 1 and n is more than or equal to n. The invention has the advantages that: 1) Can be used for all sizes and types of hydrocyclones. 2) The curve of the channel separation plate is tangent to the cylinder, which is favorable for forming rotational flow and meets the requirements of uniformity, smoothness, no bulge and no step. 3) The widths of the channels are the same, so that the symmetry of the flow field is improved, and the separation precision of the cyclone is improved.
Description
Technical Field
The invention belongs to the technical field of hydrocyclone design, and particularly relates to a method for determining a multichannel partition plate of a hydrocyclone feeder.
Background
The hydrocyclone has simple structure, no running parts, small occupied area and simple operation, and is one of the main equipment for classifying and separating materials in the industries of chemical industry, mineral separation, environmental protection, petroleum engineering, biological engineering and the like. The classification principle of the hydrocyclone is that the centrifugal sedimentation principle is utilized to realize that the materials are separated into products with different granularity grades according to different sedimentation speeds, namely, the materials enter the hydrocyclone from the inlet of the hydrocyclone under certain pressure to generate strong rotary motion, and coarse and heavy particles move outwards under the action of centrifugal force to enter the outer cyclone and are discharged from the sand setting port; under the action of fluid drag force and centripetal buoyancy force, fine and light particles migrate inwards into the internal rotational flow and are discharged from the overflow port, so that classification and separation of the particles are completed.
The feeder is the first channel that the material got into hydrocyclone, and research result shows that the influence of feeder structure to the cyclone separation process mainly has 3 points: 1. the working energy consumption of the cyclone; 2. physical wear of the cyclone; 3. flow field stability of the cyclone. It can be said that the merits of the feeder structure are one of the key factors determining the life of the hydrocyclone, the flow field distribution and the separation performance. The feeder widely applied in the current industry is in a single-inlet and single-channel mode, and has the advantages of simplicity, easiness in processing, convenience in site configuration, high energy consumption, high abrasion and poor flow field stability caused by uneven feeding; the widely accepted feeder forms in research are symmetrical inlet forms, such as double-inlet and four-inlet hydrocyclones, and the feeder has the advantages of effectively solving the problems of single-inlet hydrocyclones, but has the disadvantage that each inlet has extremely high requirement on feeding balance, which brings difficulty to practical application of the symmetrical-inlet hydrocyclones. In the design method of the feeder, three methods of tangent method, involute method or Archimedes spiral method are usually adopted in the single-inlet single-channel type feeder, and the symmetrical inlet type feeder is formed by carrying out circular symmetrical design on the single inlet. The existing design method of the hydrocyclone feeder has some problems, such as poor classification performance of the hydrocyclone although the tangential method is simple to process; the Archimedes spiral method has the problems of poor feed distribution uniformity although the processing is complicated, but the cyclone classification performance is better; while the involute method is interposed between the two. Therefore, there is a need to develop a better design approach for hydrocyclone feeders that avoids the problems associated with single inlet single channel and symmetrical inlet feeders, and overcomes the deficiencies of current feeder design approaches.
Disclosure of Invention
Aiming at the defects of a cyclone feeder structure and a design method, the invention aims to provide a method for determining a multichannel partition plate of a hydrocyclone feeder, and the balance of feeding at a feeding port of the cyclone is improved, so that the stability of a flow field in the cyclone is obviously improved, and the separation precision of the hydrocyclone is improved.
The invention aims at realizing the following technical scheme:
the invention relates to a method for determining a multichannel separation plate of a hydrocyclone feeder, which comprises a hollow cylinder of the feeder and a feeding body communicated with the periphery of the middle part of the hollow cylinder, wherein flanges are arranged at the upper end and the lower end of the hollow cylinder, the feeding body is provided with a rectangular cross section, and the side wall of the rectangular cross section is formed by the channel separation plate; the design method of the multichannel separation plate is characterized by comprising the following steps of:
step 1, determining relevant parameters
Determining the radius R of the hollow cylinder, the width w of the inlet of the feeding body and the extension length L of the feeding body i The number n of channels of the feeding body and the wrap angle theta of the feeding body;
step 2, establishing an xoy rectangular coordinate system
Taking the center of the cross section of the hollow cylinder as an origin o, and taking the tangent point P between the origin o and the feeding body as well as the hollow cylinder 0 The connecting line of the feed body is an X axis, and an xoy rectangular coordinate system is established by taking the original point o and the extending direction of the feed body as Y axes;
step 3, determining the equal point positions of the channels
The widths of all the channels are set to be the sameIn the xoy rectangular coordinate system, the tangent point P of the feeding body and the hollow cylinder is used for 0 As a base point, an equal division point is determined on the X axis at intervals of b distances, and the coordinates of the equal division point are as follows
Step 4, establishing a channel division plate
Respectively divide the channels into equal points P 2i-1 Starting from the beginning, the divider plates of the corresponding channels are established according to an Archimedes spiral driving equation with a tapered characteristic and tangent to the hollow cylinder at P 2i ;
Step 5, using the tangent point P of the feeding body and the hollow cylinder 0 And channel bisection point P 2n-1 Taking the length L along the negative direction of the Y axis as a starting point, establishing a straight-line section outer channel, and closing the end point of the outer channel;
step 6, dividing the point P by the channel 2i-1 And (1) taking i as a starting point, and setting a straight-line channel separation plate with the length of a along the negative direction of the Y axis in the outer channel.
In step 4, the driving equation of the archimedes spiral is:
compared with the prior art, the invention has the advantages that:
1) The method for determining the multichannel partition plate of the hydrocyclone feeder of the invention is based on a single-inlet spiral feeding body, and can set parameters such as the number of channels, the wrap angle and the like according to actual conditions, thus being applicable to hydrocyclones of all sizes and types.
2) The method for determining the multichannel partition plate of the hydrocyclone feeder has the advantages that the channel partition plate is formed into an Archimedes spiral line with tapered characteristics, and the Archimedes spiral line is completely tangent with a cylinder, so that the method is beneficial to the formation of rotational flow and meets the requirements of uniformity, smoothness, no bulge and no step.
3) The method for determining the multichannel separation plate of the hydrocyclone feeder has the advantages that the channel separation plate forming curves have similarity, and the widths of all channels are constant and consistent, and are allThereby helping to improve the symmetry of the flow field and further improving the hydrocycloneSeparation accuracy.
4) The method for determining the multichannel partition plate of the hydrocyclone feeder has the advantages that the inlet of the feeding channel is still a single inlet in appearance, so that the configuration in practical application is facilitated, and the method is more suitable for practical requirements of production sites.
Drawings
FIG. 1 is a diagram of the hydrocyclone feeder structure and calculation of the present invention.
FIG. 2 is a schematic cross-sectional top view of six different cyclone feed channels.
Fig. 3 is a vertical section pulp flow diagram of the cyclone corresponding to fig. 2.
Fig. 4 is a graph of sand setting distribution rate for different feed channels of the cyclone corresponding to fig. 2.
Detailed Description
The invention is further described below with reference to the drawings and examples.
1-4, the method for determining the multichannel separation plate of the hydrocyclone feeder comprises a hollow cylinder 1 of the feeder and a feeding body communicated with the middle circumference side of the hollow cylinder 1, wherein flanges are arranged at the upper end and the lower end of the hollow cylinder, the feeding body is provided with a rectangular cross section, and the side wall of the rectangular cross section is formed by a channel separation plate 3; the design method of the multichannel separation plate 3 is characterized by comprising the following steps of:
step 1, determining relevant parameters
The radius R of the hollow cylinder 1 (same as the radius of the column section of the hydrocyclone) is determined, the inlet width W of the feed body is determined, the number of channels n=3 is determined, and the wrap angle θ=2pi is determined.
Step 2, establishing an xoy rectangular coordinate system
Taking the circle center O (0, 0) of the cross section of the hollow cylinder as an origin, and taking the tangent point P of the origin O and the feeding body with the hollow cylinder 0 The connecting line of the feed body is an X axis, and an xoy rectangular coordinate system is established by taking the original point o and the extending direction of the feed body as Y axes.
Step 3, determining the equal point positions of the channels
The widths of all the channels are set to be the sameIn the xoy rectangular coordinate system, the tangent point P of the feeding body and the hollow cylinder 1 is used 0 (R, 0) as a base point, the bisection point P is determined every b distances in the positive X-axis direction 1 、P 3 、P 5 Wherein P is 1 For the first channel bisection point, P 3 For the second channel bisection point, P 5 Equally dividing the third channel; in the xoy rectangular coordinate system, the coordinates are respectively:P 5 (R+W,0)。
step 4, establishing a channel division plate
Respectively divide the channels into equal points P 2i-1 Starting from the beginning, the divider plates 3 of the corresponding channels are established according to the Archimedes spiral driving equation with the tapering characteristic and are tangent to the hollow cylinder 1 at P 2i The method is characterized by comprising the following steps:
as shown in FIG. 1, according to the xoy rectangular coordinate system, P 1 Is the first channel bisecting point, L 1 For the first channel dividing plate 3, P 2 Is the point of tangency of the first channel divider 3 with the hollow cylinder 1. With a first channel bisecting point P 1 Starting from the first channel divider plate 3, which is produced according to an archimedes spiral, the end of the first channel divider plate 3 being tangential to the hollow cylinder 1 with respect to P 2 And (5) a dot.
The archimedes spiral driving equation relating to the first channel separator plate 3 is:
as shown in FIG. 1, P 3 Is the second channel bisecting point, L 2 For the second channel dividing plate 3, P 4 Is the point of tangency of the second channel separator plate 3 with the hollow cylinder 1. With second channel point of bisection P 3 Starting from the end of the second channel separator 3, which is tangent to the hollow cylinder 1 at P, is produced according to an Archimedes spiral 4 And (5) a dot.
The archimedes spiral driving equation involving the second channel separator plate 3 is:
as shown in FIG. 1, P 5 Is the third channel bisection point, L 3 For the third channel divider plate 3, P 6 Is the point of contact of the third channel separator plate 3 with the hollow cylinder 1. In a third channel at point P 5 As a starting point, a third channel separation plate 3 is established according to an Archimedes spiral line, and the tail end of the third channel separation plate 3 is tangent to the hollow cylinder 1 at P 6 。
The archimedes spiral driving equation involving the third channel separator plate 3 is:
step 5, using the tangent point P of the feeding body and the hollow cylinder 1 0 And channel bisection point P 2n-1 Taking the length L along the negative direction of the Y axis as a starting point, establishing a straight-line section outer channel 2, and closing the end point of the outer channel 2.
Step 6, dividing the point P by the channel 2i-1 And (1) taking i as a starting point, and setting a straight-line channel separation plate 3 with the length of a along the negative direction of the Y axis in the outer channel 2.
Example 1
In this example, the radius R of the hollow cylinder 1 (same as the radius of the column section of the hydrocyclone) is 75mm, the inlet width of the feed body, that is, the outer channel width W is 30mm, the length L of the outer channel 2 is 100mm, the number of channels n is 1, and the channel wrap angle θ is 2pi.
Example 1 used a numerical simulation method to examine the effect of different channel number feeds on hydrocyclone separation.
Example 2
This embodiment differs from embodiment 1 in that the number of channels n is 2 and the channel divider plate 3 length a is 35mm.
Example 2 also used a numerical simulation method to examine the effect of different channel number feeds on hydrocyclone separation.
Example 3
This embodiment differs from embodiment 2 in that the number of channels n is 3.
Example 3 also used a numerical simulation method to examine the effect of different channel number feeds on hydrocyclone separation.
Example 4
This embodiment differs from embodiment 2 in that the number of channels n is 4.
Example 4 also used a numerical simulation method to examine the effect of different channel number feeds on hydrocyclone separation.
As can be seen from fig. 2 and 3, compared with the conventional feed channel, the feed channel designed according to the design method of the present invention can significantly improve the stability of the flow field in the hydrocyclone, fully exert the performance of the hydrocyclone, and further improve the separation accuracy. As can be seen from FIG. 4, the separation effect of the feed channel of the present invention is equivalent to that of the double inlet feed channel, and under the same condition, the separation particle size is reduced from 22 μm to about 20 μm in the conventional feed channel, and the classification may deviate (E p =(d 75 -d 25 ) And/2) the flow rate is reduced from 7.6 μm to about 5 μm in the conventional feed channel. That is, the hydrocyclone of the feed channel of the present invention has significantly improved classification granularity and accuracy under the same conditions. In addition, the feeding channel is still a single inlet in appearance, is convenient for configuration in practical application, and is more suitable for practical requirements of production sites.
The foregoing is merely a preferred embodiment of the present invention, and it should be noted that modifications and adaptations to those skilled in the art may be made without departing from the concept of the present invention, and such modifications and adaptations are intended to be comprehended within the scope of the present invention.
Claims (2)
1. A method for determining multichannel partition plates of a hydrocyclone feeder comprises a hollow cylinder of the feeder and a feeding body communicated with the periphery of the middle part of the hollow cylinder, wherein flanges are arranged at the upper end and the lower end of the hollow cylinder, the feeding body is provided with a rectangular cross section, and the side wall of the rectangular cross section is formed by the channel partition plates; the design method of the multichannel separation plate is characterized by comprising the following steps of:
step 1, determining relevant parameters
Determining the radius R of the hollow cylinder, the width w of the inlet of the feeding body and the extension length L of the feeding body i The number n of channels of the feeding body and the wrap angle theta of the feeding body;
step 2, establishing an xoy rectangular coordinate system
Taking the center of the cross section of the hollow cylinder as an origin o, and taking the tangent point P between the origin o and the feeding body as well as the hollow cylinder 0 The connecting line of the feed body is an X axis, and an xoy rectangular coordinate system is established by taking the original point o and the extending direction of the feed body as Y axes;
step 3, determining the equal point positions of the channels
The widths of all the channels are set to be the sameIn the xoy rectangular coordinate system, the tangent point P of the feeding body and the hollow cylinder is used for 0 As a base point, an equal division point is determined on the X axis at intervals of b distances, and the coordinate of the equal division point is +.>
Step 4, establishing a channel division plate
Respectively divide the channels into equal points P 2i-1 Starting from the beginning, the divider plates of the corresponding channels are established according to an Archimedes spiral driving equation with a tapered characteristic and tangent to the hollow cylinder at P 2i ;
Step 5, using the tangent point P of the feeding body and the hollow cylinder 0 And channel bisection point P 2n-1 Taking the length L along the negative direction of the Y axis as a starting point, establishing a straight-line section outer channel, and closing the end point of the outer channel;
step 6, dividing the point P by the channel 2i-1 Starting from the point, i is more than or equal to 1 and less than or equal to n-1, and is in the negative direction along the Y axis in the outer channelA straight-line channel separation plate is arranged at the length of a.
2. A method of determining a multi-channel separator plate for a hydrocyclone feeder in accordance with claim 1, wherein in step 4, the driving equation of the archimedes' spiral is:
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Citations (3)
Publication number | Priority date | Publication date | Assignee | Title |
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US4652363A (en) * | 1984-11-01 | 1987-03-24 | Miller Francis G | Dual feed hydrocyclone and method of separating aqueous slurry |
CN106493004A (en) * | 2016-11-28 | 2017-03-15 | 鞍钢集团矿业有限公司 | A kind of hydrocyclone and its entrance structure determination method for parameter |
CN112791864A (en) * | 2021-01-26 | 2021-05-14 | 沈阳建筑大学 | Hydrocyclone and design method of volute inlet curve thereof |
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Publication number | Priority date | Publication date | Assignee | Title |
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US4652363A (en) * | 1984-11-01 | 1987-03-24 | Miller Francis G | Dual feed hydrocyclone and method of separating aqueous slurry |
CN106493004A (en) * | 2016-11-28 | 2017-03-15 | 鞍钢集团矿业有限公司 | A kind of hydrocyclone and its entrance structure determination method for parameter |
CN112791864A (en) * | 2021-01-26 | 2021-05-14 | 沈阳建筑大学 | Hydrocyclone and design method of volute inlet curve thereof |
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