CN113648877B - Self-similar stirring paddle for fluid mixing - Google Patents
Self-similar stirring paddle for fluid mixing Download PDFInfo
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Abstract
The invention relates to a self-similar stirring paddle for fluid mixing, which comprises a fixed sleeve, a disc and a plurality of self-similar paddles. The blade main body structure of the self-similar stirring paddle has self-similarity in geometric shape, is based on a square self-similar graph, and is iterated at least once. In the rotating process of the paddle, fluid can be sheared through a similar structure of the paddle, the wake vortex of the paddle is destroyed, the turbulence intensity of the fluid is improved, the regular structure in a flow field is broken, the transfer process between the fluid in the mixing area and the fluid in the regular area is strengthened, and the fluid mixing effect is improved.
Description
Technical Field
The invention relates to the field of fluid mixing devices, in particular to a self-similar stirring paddle for fluid mixing.
Background
The stirring reactor is core equipment for mixing fluid in the production processes of chemical industry, petroleum, medicine, metallurgy, wastewater treatment, biological fermentation and the like. The stirring paddle is a key component of the stirring reactor, provides required energy for fluid mixing, influences the efficiency and degree of fluid mixing, transmission and reaction, and has the fluid mixing performance closely related to process economy and energy conservation and emission reduction of the process.
However, the traditional stirring paddle is easy to form a larger wake vortex behind the paddle, about 70% of paddle energy is consumed at the position of the paddle wake vortex, the paddle energy is not fully utilized, the turbulence intensity of fluid is weaker, a symmetrical flow field is easy to form in the flow field, a stirring dead zone still exists, and the fluid mixing effect is poor.
Disclosure of Invention
The invention provides a self-similar stirring paddle for fluid mixing, which aims to solve the problems that a traditional stirring paddle is easy to form a larger wake vortex behind a paddle, the paddle energy is not fully utilized, the turbulence intensity of fluid is weak, a symmetrical flow field is easy to form in the flow field, a stirring dead zone still exists, and the fluid mixing effect is poor.
The invention provides a self-similar stirring paddle for fluid mixing, which comprises a fixed sleeve, a disc and a plurality of self-similar paddles, wherein the disc is sleeved on the fixed sleeve, and the self-similar paddles are uniformly arranged on the disc, wherein the self-similar paddles comprise a plurality of self-similar paddles, wherein the self-similar paddles are formed by a plurality of self-similar paddles, and the self-similar paddles are formed by a plurality of self-similar paddles, wherein the self-similar paddles are formed by a plurality of self-similar paddles, and the self-similar paddles are uniformly arranged on the disc, and the self-similar paddles are formed by the self-similar paddles, and the self-similar paddles are formed by the self:
the main body structure of the self-similar blade is a blade part outside the disc, and the main body structure of the self-similar blade is a concave-convex sheet structure based on square self-similarity;
the non-main structure of the self-similar paddle is a paddle part inside the disc;
the main structure of the self-similar blade is characterized in that a square is equally divided into four small squares, the small squares start from the small square center of the northwest corner to the small square center of the northeast corner, then go to the small square center of the southeast corner and then go to the small square center of the southwest corner, and then go to the small square center of the southwest corner to obtain an original structure; and then continuing to divide downwards at least once according to the dividing process, connecting the divided graphs end to end and carrying out proper overturning to obtain a concave-convex sheet structure, namely carrying out self-similarity iteration on the original structure at least once to obtain the main body structure of the self-similarity blade.
Alternatively, the overall size of the main structure of the self-similar blade is unchanged, and the side length of the small square in the current self-similar iteration is 1/(2 n-1) of the side length of the small square in the original structure, wherein n is the total number of the small squares in a certain row or a certain column in the last self-similar iteration graph.
Optionally, the side length of the main body structure of the self-similar blade is (n-1)/(2 n-1) of the corresponding side length of the main body structure in the last self-similar iteration, wherein n is the total number of small squares in a certain row or a certain column in the last self-similar iteration graph.
Optionally, the length of the non-main body structure of the self-similar blade is the length of the main body structure of the self-similar blade, the width is 1/15-1/3 of the width of the main body structure of the self-similar blade, and the thickness is the thickness of the main body structure of the self-similar blade.
Alternatively, the self-similar blade has a self-similarity and fractal main structure.
Alternatively, the area of the main body structure of the self-similar blade gradually decreases with the increase of the number of self-similar iterations.
Compared with the prior art, the invention has the following technical effects: according to the invention, the self-similar paddles are arranged, so that in the rotating process of the paddle, fluid can be sheared through the self-similar structure, the wake vortex of the paddles is destroyed, the turbulence intensity of the fluid is improved, the energy transmission process of the paddles is enhanced, the regular structure in the flow field is broken, the transmission process between the fluid in the mixing area and the fluid in the regular area is enhanced, the mixing time of the fluid is shortened, and the mixing and reaction efficiency of the fluid is improved.
Drawings
In order to more clearly illustrate the technical solution of the present invention, the drawings that are needed in the embodiments will be briefly described below, and it will be obvious to those skilled in the art that other drawings can be obtained from these drawings without inventive effort.
FIG. 1 is a schematic view of a self-similar paddle for fluid mixing according to the present invention;
FIG. 2 is a schematic illustration of a stirring device provided by the present invention for a self-similar stirring paddle for fluid mixing;
FIG. 3 is a schematic diagram of the original structure of a self-similar paddle without self-similar iteration;
FIG. 4 is a schematic view of a self-similar blade structure obtained in one self-similar iteration based on FIG. 3;
FIG. 5 is a schematic view of a self-similar blade structure obtained from a second self-similar iteration based on FIG. 3;
FIG. 6 is a schematic view of a self-similar blade structure obtained from three self-similar iterations based on FIG. 3;
FIG. 7 is a partial view of FIG. 6 at the marked size;
FIG. 8 is a table of data for a self-similar paddle for an acid-base decolorization comparison experiment for one self-similar iteration;
FIG. 9 is a table of data for a comparative experiment of manganese ore leaching using a self-similar paddle for one self-similar iteration;
FIG. 10 is a data table of a self-similar paddle for acid-base decolorization contrast experiment for a self-similar iterative secondary;
FIG. 11 is a table of data for a comparative experiment of leaching of manganese ore using a self-similar paddle for a second time of self-similar iteration;
FIG. 12 is a table of data for a three-pass self-similar paddle for acid-base decolorization comparison experiment;
fig. 13 is a data table of a self-similar paddle for a comparative experiment of manganese ore leaching in three self-similar iterations.
Illustration of:
wherein, 1-motor; 2-a stirring shaft; 3-a stirring tank; 4-baffle plates; 5-self-similar paddles; 6-a disc; 7-fixing sleeve.
Detailed Description
The following description of the embodiments of the present invention will be made more fully hereinafter with reference to the accompanying drawings, in which it is shown, however, in which some, but not all embodiments of the invention are shown. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present invention, but the present invention may be practiced in other ways other than those described again, and persons skilled in the art will readily appreciate that the present invention is not limited to the specific embodiments disclosed below.
Referring to fig. 1, the invention provides a self-similar stirring paddle for fluid mixing, comprising a fixed sleeve 7, a disc 6 and a plurality of self-similar paddles 5, wherein the disc 6 is sleeved on the fixed sleeve 7, the self-similar paddles 5 are uniformly arranged on the disc 6, and the self-similar paddles 5 are uniformly arranged on the disc 6 by taking the center of the disc 6 as the center, wherein:
the main structure of the self-similar blade 5 is a blade part except the disc 6, and the main structure of the self-similar blade 5 is a concave-convex sheet structure based on square self-similarity and has self-similarity and fractal property;
the non-main structure of the self-similar paddle 5 is the paddle part inside the disc 6;
the main structure of the self-similar paddle 5 is that a square is equally divided into four small squares, and the original structure is obtained from the small square center of the northwest corner to the small square center of the northeast corner, then from the small square center of the southeast corner to the small square center of the southeast corner, and then from the southwest corner to the small square center of the southwest corner (as shown in figure 3); and then continuing to divide downwards at least once according to the dividing process, connecting the divided graphs end to end and properly turning over to obtain a concave-convex sheet structure, namely, performing self-similarity iteration on the original structure at least once to obtain the main body structure of the self-similarity blade 5.
Alternatively, the overall size of the main structure of the self-similar paddle 5 is unchanged, and the side length of the small square in the current self-similar iteration is 1/(2 n-1) of the side length of the small square in the original structure, where n is the total number of small squares in a certain row or a certain column in the last self-similar iteration graph.
Optionally, the side length of the main body structure of the self-similar paddle 5 is (n-1)/(2 n-1) of the corresponding side length of the main body structure in the last self-similar iteration, wherein n is the total number of small squares in a certain row or a certain column in the last self-similar iteration graph.
Optionally, the length of the non-main structure of the self-similar paddle 5 is the length of the main structure of the self-similar paddle 5, the width is 1/15-1/3 of the width of the main structure of the self-similar paddle 5, and the thickness is the thickness of the main structure of the self-similar paddle 5.
Alternatively, the area of the main body structure of the self-similar blade gradually decreases with the increase of the number of self-similar iterations.
For example, taking a self-similar iteration as an example, FIG. 3 shows an original structure without self-similar iteration, with a small square side length L 1 =4.2 cm, then it is subjected to a first self-similar iteration, as shown in fig. 4, in whichSmall square side length L 2 Is L 1 1/3 of the length of the main body structure of the self-similar blade is 1/3 of the length of the corresponding side of the original structure, and the area of the main body structure of the self-similar blade is 11.76cm 2 . Length L of non-main body structure of self-similar blade A Length 4.2cm, width L of the main body structure of the self-similar blade B Is 0.6cm, is 1/7 of the width of the main body structure of the self-similar blade, and the thickness is the thickness of the main body structure of the self-similar blade.
Experiment 1: with the self-similar stirring paddle of one self-similar iteration in the above example, and referring to fig. 2, the stirring shaft 2 is driven by the motor 1, the self-similar stirring paddle is mounted on the stirring shaft 2, and the fluid is subjected to the mixing stirring operation in the stirring tank 3. The diameter of the stirring tank 3 is 0.48m, the height of the stirring tank is 1m, the width of the baffle 4 is 0.048m, the height of the liquid is kept at 0.6m, and the liquid is 2.0% of sodium carboxymethyl cellulose solution, and acid-base decolorization experiments are carried out under different rotating speed conditions. The experimental results are shown in FIG. 8. As can be seen from the results of the acid-base decolorization experiment in FIG. 8, under the conditions that the stirring speeds are 60rpm,120rpm and 180rpm respectively, the self-similar stirring paddles for one time of self-similar iteration disclosed by the invention have the advantages that compared with the conventional straight blade stirring paddles, the mixing time of a mixing system is shortened by 11.11%,9.68% and 7.41% respectively.
Experiment 2: with the self-similar stirring paddle of one self-similar iteration in the above example, and referring to fig. 2, the stirring shaft 2 is driven by the motor 1, the self-similar stirring paddle is mounted on the stirring shaft 2, and the fluid is subjected to the mixing stirring operation in the stirring tank 3. The diameter of the stirring tank 3 is 0.48m, the height of the stirring tank is 1m, and the width of the baffle 4 is 0.048m. 10kg of manganese ore with the grade of about 15% and 6kg of concentrated sulfuric acid are added into a stirring tank, and the liquid height is kept at 0.6m, so that a manganese ore leaching experiment is carried out. The experimental results are shown in FIG. 9. As can be seen from the experimental result of leaching of manganese ores in FIG. 9, under the condition of the same stirring rotation speed and leaching time, the self-similar stirring paddle for one time of self-similar iteration disclosed by the invention has the advantage that compared with the conventional straight-blade stirring paddle, the leaching rate of manganese ores is improved by 1.43%.
Taking the secondary self-similarity iteration as an example, FIG. 3 shows an original structure without self-similarity iteration, with a small square side length L 1 =4.2 cm, then it is advancedLine two-time self-similar iteration, as shown in FIG. 5, the side length L of small square in two-time self-similar iteration 3 Is L 1 1/7 of the length of the main body structure of the self-similar blade obtained by the first self-similar iteration is 3/7 of the corresponding length of the main body structure of the self-similar blade, and the area of the main body structure of the self-similar blade is 10.08cm 2 . Length L of non-main body structure of self-similar blade A Length 4.2cm, width L of the main body structure of the self-similar blade B Is 0.6cm, is 1/7 of the width of the main body structure of the self-similar blade, and the thickness is the thickness of the main body structure of the self-similar blade.
Experiment 3: with the self-similar stirring paddle of the second self-similar iteration in the above example, and referring to fig. 2, the stirring shaft 2 is driven by the motor 1, the self-similar stirring paddle is mounted on the stirring shaft 2, and the fluid is subjected to the mixing stirring operation in the stirring tank 3. The diameter of the stirring tank 3 is 0.48m, the height of the stirring tank is 1m, the width of the baffle 4 is 0.048m, the height of the liquid is kept at 0.6m, and the liquid is 2.0% of sodium carboxymethyl cellulose solution, and acid-base decolorization experiments are carried out under different rotating speed conditions. The experimental results are shown in FIG. 10. As can be seen from the results of the acid-base decolorization experiment in FIG. 10, under the conditions that the stirring speeds are 60rpm,120rpm and 180rpm respectively, the self-similar stirring paddles of the self-similar iterative secondary disclosed by the invention have the advantages that compared with the conventional straight blade stirring paddles, the mixing time of a mixing system is shortened by 16.67%,16.13% and 14.82% respectively.
Experiment 4: with the self-similar stirring paddle of the second self-similar iteration in the above example, and referring to fig. 2, the stirring shaft 2 is driven by the motor 1, the self-similar stirring paddle is mounted on the stirring shaft 2, and the fluid is subjected to the mixing stirring operation in the stirring tank 3. The diameter of the stirring tank 3 is 0.48m, the height of the stirring tank is 1m, and the width of the baffle 4 is 0.048m. 10kg of manganese ore with the grade of about 15% and 6kg of concentrated sulfuric acid are added into a stirring tank, and the liquid height is kept at 0.6m, so that a manganese ore leaching experiment is carried out. The experimental results are shown in FIG. 11. As can be seen from the experimental results of leaching of manganese ores in FIG. 11, under the condition of the same stirring rotation speed and leaching time, the leaching rate of manganese ores is improved by 2.87% compared with that of a conventional straight-blade stirring paddle by the self-similar iterative secondary self-similar stirring paddle disclosed by the invention.
Three times of self-phaseFor example, FIG. 3 shows an original structure without self-similar iteration, with small squares of side length L 1 =4.2 cm, then three self-similar iterations are performed on it, as shown in fig. 6, with small square sides L in the three self-similar iterations 4 Is L 1 1/15 of the length of the main body structure of the self-similar blade obtained by the method is 7/15 of the corresponding length of the main body structure of the self-similar blade obtained by the second self-similar iteration, and the area of the main body structure of the self-similar blade is 9.25cm 2 . Length L of non-main body structure of self-similar blade A Length 4.2cm, width L of the main body structure of the self-similar blade B Is 0.6cm, is 1/7 of the width of the main body structure of the self-similar blade, and the thickness is the thickness of the main body structure of the self-similar blade.
Experiment 5: with the self-similar stirring paddles of three self-similar iterations in the above example, and referring to fig. 2, the stirring shaft 2 is driven by the motor 1, the self-similar stirring paddles are mounted on the stirring shaft 2, and the fluid is subjected to a mixing stirring operation in the stirring tank 3. The diameter of the stirring tank 3 is 0.48m, the height of the stirring tank is 1m, the width of the baffle 4 is 0.048m, the height of the liquid is kept at 0.6m, and the liquid is 2.0% of sodium carboxymethyl cellulose solution, and acid-base decolorization experiments are carried out under different rotating speed conditions. The experimental results are shown in FIG. 12. As can be seen from the results of the acid-base decolorization experiment in FIG. 12, under the conditions that the stirring speeds are 60rpm,120rpm and 180rpm respectively, the self-similar stirring paddles for three times of self-similar iteration disclosed by the invention have the advantages that the mixing time of a mixing system is shortened by 22.22%,19.36% and 18.52% respectively compared with that of a conventional straight blade stirring paddle.
Experiment 6: with the self-similar stirring paddles of three self-similar iterations in the above example, and referring to fig. 2, the stirring shaft 2 is driven by the motor 1, the self-similar stirring paddles are mounted on the stirring shaft 2, and the fluid is subjected to a mixing stirring operation in the stirring tank 3. The diameter of the stirring tank 3 is 0.48m, the height of the stirring tank is 1m, and the width of the baffle 4 is 0.048m. 10kg of manganese ore with the grade of about 15% and 6kg of concentrated sulfuric acid are added into a stirring tank, and the liquid height is kept at 0.6m, so that a manganese ore leaching experiment is carried out. The experimental results are shown in FIG. 13. As can be seen from the experimental results of leaching of manganese ores in FIG. 13, under the condition of the same stirring rotation speed and leaching time, the leaching rate of manganese ores is improved by 4.18% compared with that of a conventional straight-blade stirring paddle by the self-similar stirring paddle for three times of self-similar iteration.
Compared with the prior art, the invention has the following technical effects: according to the invention, the self-similar paddles are arranged, so that in the rotating process of the paddle, fluid can be sheared through the self-similar structure, the wake vortex of the paddles is destroyed, the turbulence intensity of the fluid is improved, the energy transmission process of the paddles is enhanced, the regular structure in the flow field is broken, the transmission process between the fluid in the mixing area and the fluid in the regular area is enhanced, the mixing time of the fluid is shortened, and the mixing and reaction efficiency of the fluid is improved.
The foregoing is merely exemplary of the invention and it will be appreciated by those skilled in the art that variations and modifications may be made without departing from the principles of the invention, and it is intended that the invention also be limited to the specific embodiments shown.
Claims (4)
1. The utility model provides a self-similar stirring rake for fluid mixing, a serial communication port, a self-similar stirring rake for fluid mixing includes fixed cover (7), disc (6) and a plurality of self-similar paddle (5), disc (6) cover is located fixed cover (7), self-similar paddle (5) evenly set up in on disc (6), wherein:
the main structure of the self-similar blade (5) is a blade part except the disc (6), and the main structure of the self-similar blade (5) is a concave-convex sheet structure based on square self-similarity;
the non-main structure of the self-similar blade (5) is a blade part inside the disc (6);
the main structure of the self-similar paddle (5) is that a square is equally divided into four small squares, and the original structure is obtained by starting from the small square center of the northwest corner to the small square center of the northeast corner, then going to the small square center of the southeast corner and then going to the small square center of the southwest corner and finally going to the small square center of the southwest corner; continuing to divide downwards at least once according to the dividing process, connecting the divided graphs end to end and carrying out proper overturning to obtain a concave-convex sheet structure, namely carrying out self-similarity iteration on the original structure at least once to obtain a main body structure of the self-similarity blade (5);
the overall size of the main structure of the self-similar paddle (5) is unchanged, the side length of the small squares in the current self-similar iteration is 1/(2 n-1) of the side length of the small squares in the original structure, wherein n is the total number of the small squares in a certain row or a certain column in the last self-similar iteration graph;
the side length of the main body structure of the self-similar blade (5) is (n-1)/(2 n-1) of the corresponding side length of the main body structure in the last self-similar iteration, wherein n is the total number of small squares in a certain row or a certain column in the last self-similar iteration graph.
2. Self-similar stirring paddle for fluid mixing according to claim 1, characterized in that the non-main structure of the self-similar paddle (5) has a length of the main structure of the self-similar paddle (5), a width of 1/15-1/3 of the width of the main structure of the self-similar paddle (5) and a thickness of the main structure of the self-similar paddle (5).
3. Self-similar stirring paddle for fluid mixing according to claim 1, characterized in that the main structure of the self-similar paddle (5) has self-similarity and fractal properties.
4. Self-similar stirring paddle for fluid mixing according to claim 1, characterized in that the area of the main body structure of the self-similar paddle (5) gradually decreases with increasing number of self-similar iterations.
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| CN113952913B (en) * | 2021-11-24 | 2023-01-24 | 重庆工商大学 | Z-shaped overlapped stirring paddle for enhancing fluid mixing |
| CN116478407B (en) * | 2023-04-27 | 2024-04-12 | 重庆工商大学 | Polysilicate elastomer and preparation method and application thereof |
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