CN113138141B - Method for measuring solid diffusion rate and dissolution rate in solid-liquid mixing process - Google Patents

Method for measuring solid diffusion rate and dissolution rate in solid-liquid mixing process Download PDF

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CN113138141B
CN113138141B CN202110439169.7A CN202110439169A CN113138141B CN 113138141 B CN113138141 B CN 113138141B CN 202110439169 A CN202110439169 A CN 202110439169A CN 113138141 B CN113138141 B CN 113138141B
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CN113138141A (en
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肖清泰
杨凯
王�华
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Kunming University of Science and Technology
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    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N13/00Investigating surface or boundary effects, e.g. wetting power; Investigating diffusion effects; Analysing materials by determining surface, boundary, or diffusion effects
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    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N13/00Investigating surface or boundary effects, e.g. wetting power; Investigating diffusion effects; Analysing materials by determining surface, boundary, or diffusion effects
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Abstract

The invention discloses a method for measuring solid diffusion rate and dissolution rate in a solid-liquid mixing process, which comprises the following steps: s1, building an experiment table: adding the solid-liquid two phases with mixing into a transparent container, stirring and mixing, and collecting a video image in the solid-liquid two-phase mixing process; s2, processing the collected video image to obtain a binary image sequence; s3, calculating a fractal dimension time sequence based on the binary image sequence, and solving the dissolution rate of the solid in the liquid based on the time sequence; and S4, solving a P value of the binary image sequence, wherein the P value is an absolute value of a slope of a fractal dimension obtained by continuously corroding each binary image for a plurality of times, fitting the P value by using logistic regression, acquiring the moment with the largest diffusion range, and acquiring the solid diffusion rate based on the moment with the largest diffusion range. The invention can non-invasively, intuitively and accurately measure the solid diffusion rate and the dissolution rate in the solid-liquid mixing process.

Description

Method for measuring solid diffusion rate and dissolution rate in solid-liquid mixing process
Technical Field
The invention relates to the technical field of chemical engineering and hydrometallurgy engineering, in particular to a method for measuring solid diffusion rate and dissolution rate in a solid-liquid mixing process.
Background
The gas-liquid-solid three-phase system is a very common multiphase flow reaction or separation system in the industrial production process, and has wide application in various industrial processes such as petroleum, chemical engineering, energy, metallurgy and the like. The intensified stirring and mixing are key steps of a plurality of process technologies, and in the chemical reaction, the intensified stirring and mixing are used for accelerating the reaction process and saving the reaction time; in the physical reaction, the intensified mixing is to prevent the solid particles from depositing, so that the solid particles reach a suspension state in a liquid phase, and the energy consumption of mixing is reduced. Grasp the heterogeneous effect of mixing, can do and carry out accurate control to the stirring process, save a large amount of manpowers, material resources, financial resources. The measurement of the mixing rate of multiphase flow intensive stirring has been one of the research difficulties in the field of multiphase flow.
At present, the measurement of the multiphase flow stirring and mixing rate at home and abroad is mainly researched from two angles of macro and micro. The macro measurement method is to measure the stirring power, etc., and the micro measurement method is to measure the speed field of the mixing process, etc. The measurement of the stirring power to measure the mixing rate is not accurate enough, and the measurement of the velocity field of each phase is too complicated. In recent years, a Planar Laser Induced Fluorescence (PLIF) measurement method is widely used, and the method not only can display the mixing effect difference of each planar position in a flow field in real time, but also can intuitively and clearly reflect the change rule of a mixing state along with time. Although some scholars research transient tracer distribution, concentration change and macroscopic mixing characteristics in the stirring tank by a PLIF measuring method, the application of the method has strong limitation and high requirement on working medium selection.
Based on the problems in the prior art, a method for measuring the solid diffusion rate and the dissolution rate in the solid-liquid mixing process, which is visual and has a wide application range, is urgently needed.
Disclosure of Invention
The invention aims to provide a method for measuring the solid diffusion rate and the dissolution rate in the solid-liquid mixing process, which can non-invasively, intuitively and accurately measure the solid diffusion rate and the dissolution rate in the solid-liquid mixing process.
In order to achieve the purpose, the invention provides the following scheme: the invention provides a method for measuring solid diffusion rate and dissolution rate in a solid-liquid mixing process, which comprises the following steps:
s1, building an experiment table: adding a solid-liquid two phase with mixing into a transparent container, stirring and mixing the solid-liquid two phase by a stirring device, and acquiring a video image in the solid-liquid two phase mixing process in the transparent container;
s2, processing the video image in the solid-liquid two-phase mixing process to obtain a binary image sequence;
s3, calculating a fractal dimension time sequence based on the binaryzation image sequence, and solving the dissolution rate of the solid in the liquid based on the fractal dimension time sequence;
and S4, solving a P value of the binary image sequence in the step S2, wherein the P value is an absolute value of a slope of a fractal dimension obtained by continuously corroding each binary image for a plurality of times, fitting the P value by using logistic regression to obtain the moment with the largest diffusion range, and obtaining the solid diffusion rate based on the moment with the largest diffusion range.
Preferably, in the step S1, the test bed includes a transparent container, a stirring device is disposed in the transparent container, the stirring device includes a stirring paddle shaft and a plurality of stirring paddle blades, the stirring paddle blades are disposed at the bottom of the stirring paddle shaft, a solid-liquid two-phase mixture to be mixed is filled in the transparent container, and the stirring paddle blades are driven by the stirring paddle shaft to stir and mix the solid-liquid two-phase mixture to be mixed in the transparent container; and an image acquisition device is arranged on one side of the transparent container and is used for acquiring video images of the solid-liquid two-phase mixture to be mixed in the transparent container.
Preferably, a light shielding plate is further arranged on the other side of the transparent container, and the light shielding plate is arranged corresponding to the image acquisition device and used for shielding light in the video image acquisition process.
Preferably, the image acquisition device includes, but is not limited to, a high-speed camera, an Electric Capacitance Tomography (ECT).
Preferably, in step S2, the method for processing the video image in the solid-liquid two-phase mixing process includes: and carrying out image segmentation on the video image, and carrying out gray scale and binarization processing on the mixed image sequence obtained after segmentation to obtain a binarization image sequence.
Preferably, in the process of image segmentation of the video image, the video image is subjected to image segmentation by taking a video frame or a preset time interval as a unit to obtain a mixed image sequence.
Preferably, in step S3, the method for solving the dissolution rate of the solid in the liquid specifically includes:
calculating the fractal dimension D of each binarized image in the binarized image sequence to obtain a fractal dimension time sequence, and solving the dissolution rate of the solid in the liquid based on the fractal dimension time sequence, wherein the dissolution rate is shown as the following formula:
S=D 1 +D 2 +…+D n
R=S/t
in the formula, S is the sum of fractal dimensions of each binary image in the binary image sequence, D n And the fractal dimension of the nth binary image in the binary image sequence is shown, R is the dissolution rate of the solid in the liquid, n is the ordinal number of the image sequence, and t is the dissolution time of the solid in the liquid.
Preferably, in step S4, the specific method for obtaining the time when the diffusion range is maximum by fitting the P value by using logistic regression includes: and performing logistic fitting on the time sequence of the P value in an OXY rectangular coordinate system to obtain a fitted logistic curve, wherein the inflection point of the logistic curve along with the corresponding time point is the moment with the maximum diffusion range.
The invention discloses the following technical effects:
acquiring a video image in a solid-liquid two-phase mixing process, segmenting and binarizing to obtain a binary image sequence, calculating a fractal dimension time sequence of the binary image sequence, and solving the dissolution rate of a solid in liquid based on the fractal dimension time sequence; meanwhile, the P value is obtained based on a binarization image sequence, the P value is fitted by using logistic regression, and the time with the largest diffusion range is obtained, so that the method for non-invasively measuring the solid diffusion rate and the dissolution rate in the solid-liquid mixing process is provided, the solid diffusion rate and the dissolution rate in the solid-liquid mixing process can be intuitively and accurately measured, the applicability is strong, and the method relates to various fields such as chemical engineering, hydrometallurgy and the like.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings needed in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings without creative efforts.
FIG. 1 is a flow chart of a method of measuring the solid diffusion rate and dissolution rate of a solid-liquid mixing process according to the present invention;
FIG. 2 is a schematic structural diagram of a test stand according to an embodiment of the present invention;
in the figure, 1 is a shading plate, 2 is a stirring paddle shaft, 3 is a stirring paddle blade, 4 is a solid-liquid two-phase mixture, 5 is an image acquisition device, and 6 is a transparent container;
FIG. 3 is a time series of fractal dimensions of ECT images in an embodiment of the present invention;
fig. 4 is an example of a solid-liquid two-phase stirring and mixing image in the embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
In order to make the aforementioned objects, features and advantages of the present invention more comprehensible, the present invention is described in detail with reference to the accompanying drawings and the detailed description thereof.
Referring to fig. 1, the present embodiment provides a method for measuring a solid diffusion rate and a dissolution rate in a solid-liquid mixing process, which specifically includes the following steps:
s1, building an experiment table: adding a solid-liquid two phase with mixing into a transparent container, stirring and mixing the solid-liquid two phase by a stirring device, and collecting a video image in the solid-liquid two phase mixing process in the transparent container;
in this embodiment, the material of the transparent container includes, but is not limited to, an acrylic material and an organic glass material; the collection of the video image is completed through the image collection device. The concrete structure of the test bed is shown in fig. 2, and comprises a transparent container 6, wherein a stirring device is arranged in the transparent container 6, the stirring device comprises a stirring paddle shaft 2 and a plurality of stirring paddle blades 3, the stirring paddle blades 3 are arranged at the bottom of the stirring paddle shaft 2, a solid-liquid two-phase mixture 4 to be mixed is filled in the transparent container 6, and the stirring paddle blades 3 are driven by the stirring paddle shaft 2 to stir and mix the solid-liquid two-phase mixture 4 to be mixed in the transparent container 6, so that the diffusion and dissolution of solids in liquid are promoted; an image acquisition device 5 is arranged on one side of the transparent container 6 and is used for acquiring video images in the mixing process of the solid-liquid two-phase mixture 4 in the transparent container 6; the other side of the transparent container 6 is also provided with a light shielding plate 1, and the light shielding plate 1 is arranged corresponding to the image acquisition device 5 and is used for shielding light in the video image acquisition process and ensuring the definition of video image acquisition.
Wherein the image acquisition device 5 includes, but is not limited to, a high-speed camera, an Electric Capacitance Tomography (ECT); the imaging speed of the high-speed camera is 250 frames/second
The stirring paddle shaft 2 and the stirring paddle blades 3 are made of transparent materials and have corrosion resistance, and the stirring paddle shaft 2 is powered by a motor.
The shape of the transparent container 6 includes, but is not limited to, round and square.
S2, processing the video image in the solid-liquid two-phase mixing process to obtain a binary image sequence; the specific treatment process comprises the following steps:
performing image segmentation on the video image to respectively obtain a mixed image sequence taking a video frame or a preset time interval as a unit; in this embodiment, the preset time interval includes, but is not limited to, 0.5s, 1s, and 1.5s.
And carrying out gray scale and binarization processing on the segmented mixed image sequence to obtain a binarization image sequence.
S3, calculating a fractal dimension time sequence based on the binary image sequence, and solving the dissolution rate of the solid in the liquid based on the fractal dimension time sequence;
the integer dimension is included in the fractional dimension, which characterizes the dynamic variation of the object with respect to the integer dimension reflecting the static characteristics of the object. Extending it into the dynamic behavior and phenomena in nature, the fractional dimension is a characterization of the correlation of the overall system behavior composed of tiny local features in the natural phenomena, namely: for an object, the irregularity and complexity of the non-integer value can only be accurately reflected by using its dimension scale to measure it, and the dimension of the non-integer value is called fractal dimension.
The method for solving the dissolution rate of the solid in the liquid specifically comprises the following steps: calculating the fractal dimension D of each binarized image in the binarized image sequence through Matlab to obtain a fractal dimension time sequence, and solving the dissolution rate of the solid in the liquid based on the fractal dimension time sequence as shown in FIG. 3, wherein the dissolution rate is specifically shown as the following formula:
S=D 1 +D 2 +…+D n
R=S/t
in the formula, S is the sum of fractal dimensions of each binary image in the binary image sequence, namely the area of a region enclosed by a D value curve, an X axis and a Y axis; r is the dissolution rate of the solid in the liquid, n is the ordinal number of the image sequence, and t is the time for the solid to dissolve in the liquid.
S4, solving a P value of the binary image sequence in the step S2, wherein the P value is an absolute value of a slope of a fractal dimension obtained by continuously corroding each binary image for a plurality of times, fitting the P value by using logistic regression to obtain the moment with the largest diffusion range, and obtaining the diffusion rate based on the diffusion range and the moment with the largest diffusion range;
and in the fitting process, performing the logistic fitting on the time sequence of the P value in an OXY rectangular coordinate system to obtain a fitted logistic curve, wherein the inflection point of the logistic curve along with the corresponding time point is the moment with the largest diffusion range. An image of the solid-liquid two-phase stirring mixing process is shown in fig. 4.
The invention has the following technical effects:
the method comprises the steps of acquiring a video image in a solid-liquid two-phase mixing process, segmenting and binarizing to obtain a binary image sequence, calculating a fractal dimension time sequence of the binary image sequence, and solving the dissolution rate of a solid in liquid based on the fractal dimension time sequence; meanwhile, the P value is obtained based on a binary image sequence, the P value is fitted by using logistic regression, and the moment with the largest diffusion range is obtained, so that the method for non-invasively measuring the solid diffusion rate and the dissolution rate in the solid-liquid mixing process is provided, the solid diffusion rate and the dissolution rate in the solid-liquid mixing process can be intuitively and accurately measured, the applicability is strong, and the method relates to various fields such as chemical engineering, hydrometallurgy and the like.
The above-described embodiments are merely illustrative of the preferred embodiments of the present invention, and do not limit the scope of the present invention, and various modifications and improvements of the technical solutions of the present invention can be made by those skilled in the art without departing from the spirit of the present invention, and the technical solutions of the present invention are within the scope of the present invention defined by the claims.

Claims (4)

1. A method for measuring the solid diffusion rate and dissolution rate in a solid-liquid mixing process, comprising the steps of
S1, building an experiment table: adding a solid-liquid two phase with mixing into a transparent container, stirring and mixing the solid-liquid two phase by a stirring device, and acquiring a video image in the solid-liquid two phase mixing process in the transparent container;
s2, processing the video image in the solid-liquid two-phase mixing process to obtain a binary image sequence;
s3, calculating a fractal dimension time sequence based on the binaryzation image sequence, and solving the dissolution rate of the solid in the liquid based on the fractal dimension time sequence;
s4, solving a P value of the binary image sequence in the step S2, wherein the P value is an absolute value of a slope of a fractal dimension obtained by continuously corroding each binary image for a plurality of times, fitting the P value by using logistic regression to obtain the moment with the largest diffusion range, and obtaining the solid diffusion rate based on the moment with the largest diffusion range;
in the step S1, the experiment table includes a transparent container (6), a stirring device is arranged in the transparent container (6), the stirring device includes a stirring paddle shaft (2) and a plurality of stirring paddle blades (3), the stirring paddle blades (3) are arranged at the bottom of the stirring paddle shaft (2), a mixture (4) to be mixed in solid-liquid two phases is filled in the transparent container (6), and the stirring paddle blades (3) are driven by the stirring paddle shaft (2) to stir and mix the mixture (4) to be mixed in solid-liquid two phases in the transparent container (6); an image acquisition device (5) is arranged on one side of the transparent container (6) and is used for acquiring a video image in the mixing process of the solid-liquid two-phase mixture (4) to be mixed in the transparent container (6);
a light shielding plate (1) is further arranged on the other side of the transparent container (6), and the light shielding plate (1) is arranged corresponding to the image acquisition device (5) and is used for shielding light in the video image acquisition process;
the image acquisition device (5) comprises but is not limited to a high-speed camera, an Electric Capacitance Tomography (ECT);
in step S3, the method for solving the dissolution rate of the solid in the liquid specifically includes:
calculating the fractal dimension D of each binarized image in the binarized image sequence to obtain a fractal dimension time sequence, and solving the dissolution rate of the solid in the liquid based on the fractal dimension time sequence, wherein the dissolution rate is shown as the following formula:
S=D 1 +D 2 +…+D n
R=S/t
in the formula, S is the sum of fractal dimensions of each binary image in the binary image sequence, D n And the fractal dimension of the nth binary image in the binary image sequence is shown, R is the dissolution rate of the solid in the liquid, n is the ordinal number of the image sequence, and t is the dissolution time of the solid in the liquid.
2. The method for measuring solid diffusion rate and dissolution rate in solid-liquid mixing process according to claim 1, wherein the step S2 of processing the video image in the solid-liquid two-phase mixing process comprises: and carrying out image segmentation on the video image, and carrying out gray scale and binarization processing on the mixed image sequence obtained after segmentation to obtain a binarization image sequence.
3. The method for measuring the solid diffusion rate and the dissolution rate in the solid-liquid mixing process of claim 2, wherein in the process of image segmentation of the video image, the video image is subjected to image segmentation in units of video frames or preset time intervals to obtain a mixed image sequence.
4. The method for measuring the solid diffusion rate and the dissolution rate in the solid-liquid mixing process according to claim 1, wherein the step S4 of fitting the P value by using logistic regression includes the specific steps of: and performing logistic fitting on the time sequence of the P value in an OXY rectangular coordinate system to obtain a fitted logistic curve, wherein the inflection point of the logistic curve along with the corresponding time point is the moment with the maximum diffusion range.
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