CN102004816A - Method for representing multiphase mixing effect by utilizing histogram - Google Patents
Method for representing multiphase mixing effect by utilizing histogram Download PDFInfo
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- CN102004816A CN102004816A CN2010105299685A CN201010529968A CN102004816A CN 102004816 A CN102004816 A CN 102004816A CN 2010105299685 A CN2010105299685 A CN 2010105299685A CN 201010529968 A CN201010529968 A CN 201010529968A CN 102004816 A CN102004816 A CN 102004816A
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Abstract
The invention relates to a method for representing multiphase mixing effect by utilizing a histogram. In the method, a zero-dimensional betti number and a first-dimensional betti number of a multiphase mixing fluid mixing pattern are calculated by adopting a histogram method of statistics to respectively obtain a histogram of a time sequence of the zero-dimensional betti number and the first-dimensional betti number of the multiphase flow mixing sample. The mixing effect under the working condition is judged according to the region area occupied by a transverse coordinate of the histogram of the time sequence of the zero-dimensional betti number; the larger the zero-dimensional betti number is, and the smaller the first-dimensional betti number is, the better the mixing effect is; and the histogram distribution meets the normal distribution, which represents that the mixing effect is optimal. The invention is suitable for all representations of the multiphase flow mixing effect; and the method is simple and convenient, has high practical value and provides a reliable and practical representing method for judging the mixing effect in a chemical test and guiding the design of an agitation reactor in theory.
Description
Technical field
The present invention relates to technical field of chemical engineering, specifically a kind of histogram that utilizes that is adapted to all polyphasic flows of chemical field characterizes the method for multi-phase mixed effect.
Background technology
The quality of mixed effect is very important for the chemical engineering process.Big during 60 to the eighties fluid hybrid technology obtained development at full speed, the emphasis of its research mainly is at the research that experimentizes of macroscopic quantitys such as the stirring power consumption of conventional paddle in low sticking and heterogeneous systems such as high sticking non newtonian homogeneous system, solid-liquid suspension and Gas-Liquid Dispersion, incorporation time.Though can be used for analysis and predicting mixed system of a large amount of design experiences and correlation, arranged, but stirred reactor directly is amplified to the large-scale commercial production from laboratory scale, be still and be not sure, still need so far to reach the desired mass transfer of mixing plant, heat transfer and mixing by amplifying step by step.This method not only expends financial resources and great amount of manpower and material resources, and the design cycle is very long, shows the chemical industry of the U.S. because the unreasonable loss that causes of stirred reactor design is about hundred million dollars of 10-100 every year according to ASSOCIATE STATISTICS.Therefore adopt advanced means of testing and set up rational mathematical model and obtain velocity field, temperature field and concentration field in the tank diameter, and the method for taking effectively to characterize multi-phase mixed effect, not only the optimal design to mixing apparatus has crucial economic implications, and the fundamental research of amplifying and mix is had the theory significance of reality.
In recent years, continuous development along with science and technology, the widespread use of Laser Doppler Velocimeter LDV and Fluid Mechanics Computation CFD analogue technique and electron tomography imaging technique PET etc. has appearred, promoted the development at full speed of fluid hybrid technology, just see at present, the method that characterizes multi-phase mixed effect is numerous, mainly contain electrical conductivity method, thermocouple method, optical method, decoloring method etc., wherein electrical conductivity method is used very wide in the mixing of low viscous flow body, but to the requirement height of agitated medium, as to require agitated medium be deionized water; Thermopair rule stream field can produce destruction; General optical method is used also less because device is complicated; Decoloring method is used for surveying highly viscous fluid and viscoelastic fluid is very effective, but owing to adopt naked eyes to judge, thereby have stronger subjectivity.
Summary of the invention
The objective of the invention is to overcome the deficiency of said method, a kind of method of utilizing multi-phase mixed effect in the histogram sign chemical industry higher using value, simple and feasible that has is provided.
Calculate in the algebraic topology, the implication of the 0th dimension Betti number is: being communicated with the number of composition in the zone, briefly is exactly the number of piece in the zone; The implication of the 1st dimension Betti number is: the number in hole in the zone briefly is exactly the number of bulk in the zone; Histogram, also claim bar figure, bar chart, bar graph, be a kind of be the statistical report figure of the expression figure of variable with rectangular length, the longitudinal stripe that is not waited by a series of height is represented the situation (different time or different condition) of DATA DISTRIBUTION, have only a variable, be used in less data set analysis usually; The present invention characterizes the degree of uniformity of mixed effect with the 0th dimension Betti number, characterize the non-uniform degree of mixed effect with the 1st dimension Betti number, come more two or more value with histogram, the 0th dimension Betti number and the 1st dimension Betti number to image in the mixed process are carried out histogram analysis, utilize the characteristics of its distribution to judge whether mixing is best.Detailed steps is as follows: this method adopts statistical histogram method, by the 0th dimension Betti number and the 1st dimension Betti number of calculating heterogeneous fluid-mixing mixing pattern, obtain the 0th dimension Betti number and the 1st dimension Betti number seasonal effect in time series histogram of polyphasic flow mixing sample respectively, the horizontal ordinate of the 0th dimension Betti number and the 1st dimension Betti number histogram is represented the degree of uniformity and the non-uniform degree of mixed effect respectively, the ordinate of histogram is express time then, wherein the shared region area of relatively large value is big more in the horizontal ordinate of the 0th dimension Betti number time series histogram, and the shared region area of smaller value is big more relatively in the horizontal ordinate of the 1st dimension Betti number time series histogram, that is: the 0th dimension Betti number is big more, the 1st dimension Betti number is more little, and mixed effect is good more.At last, can be good at meeting normal distribution simultaneously, promptly meet classical bell curve, then represent the mixed effect the best under this operating mode if the 0th dimension Betti number of the mixing sample under certain operating mode and the 1st dimension Betti number seasonal effect in time series histogram distribute.
The invention has the beneficial effects as follows:
1, solved the weak point of sign mixed effect method commonly used etc.;
2, this method simple possible, directly perceived;
3, can reduce the economic loss that the unreasonable design because of stirred reactor causes, further guiding experiment design.
The present invention is applied in the judgement to all multi-phase mixed effects, and this method is simple and convenient, and has very high practical value, reaches the design of instructing stirred reactor in theory to judging mixed effect in the chemical engineering experiment, and a kind of reliable and practical characterizing method is provided.
Description of drawings
Fig. 1 is the present invention's the 0th dimension Betti number histogram;
Fig. 2 is the present invention's the 1st dimension Betti number histogram.
Embodiment
Embodiment 1:
Relate to the hybrid reaction between gas liquid and the solid three-phase in the chemical experiment, several different materials need be put into and carry out hybrid reaction in the magnetic stirring apparatus, by particle knotmeter (at transparent or semitransparent fluid), the real-time pattern that electron tomography imaging technique EPT (Electrical Process Tomography) or CT (Computerized Tomography) (at opaque fluid) obtain to mix, preserve view data then, program CHomP by the COMPUTER CALCULATION Betti number calculates, obtain the time series of the 0th dimension Betti number and the 1st dimension Betti number, the seasonal effect in time series histogram of (rotating speed is 0-3000rpm) the 0th dimension Betti number and the 1st dimension Betti number under all operating modes of drawing at last, observe it whether meet normal distribution, found that when rotating speed is 1000rpm, the histogram of its 0th dimension Betti number and the 1st dimension Betti number distributes and meets normal distribution simultaneously, and find that its 0th dimension Betti number higher value distributed areas are bigger, the 1st dimension Betti number higher value distributed areas are less, in other words, the cloth of branch mutually number under this operating mode is maximum, the distribution number of bulk is minimum, mixed effect the best.As depicted in figs. 1 and 2.Its histogram meets normal distribution, that is: Jing Dian bell curve.
Claims (3)
1. method of utilizing histogram to characterize multi-phase mixed effect, it is characterized in that: adopt statistical histogram method, calculate the 0th dimension Betti number and the 1st dimension Betti number of heterogeneous fluid-mixing mixing pattern, obtain the 0th dimension Betti number and the 1st dimension Betti number seasonal effect in time series histogram of polyphasic flow mixing sample respectively, wherein the horizontal ordinate of the 0th dimension Betti number and the 1st dimension Betti number histogram is represented the degree of uniformity and the non-uniform degree of mixed effect respectively, the ordinate of histogram is express time then, and the size of shared region area is judged the mixed effect under this operating mode in the horizontal ordinate according to the 0th dimension Betti number time series histogram; When the 0th dimension Betti number is big more, the 1st dimension Betti number is more little, and mixed effect is good more, and histogram distributes and to meet normal distribution, then represents mixed effect the best.
2. the method for utilizing histogram to characterize multi-phase mixed effect according to claim 1 is characterized in that: dimension Betti number of the 0th in the computation process and the 1st dimension Betti number are to calculate acquisition by the international freeware of CHomP.
3. the method for utilizing histogram to characterize multi-phase mixed effect according to claim 1 is characterized in that: the real-time pattern that obtains to mix by the particle knotmeter at transparent or semitransparent fluid; The real-time pattern that adopts electron tomography formation method EPT to obtain to mix at opaque fluid.
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107271493A (en) * | 2017-07-07 | 2017-10-20 | 中国电建集团中南勘测设计研究院有限公司 | A kind of Air Concentration in Water Flow computational methods and system based on normal distribution |
| CN111583270A (en) * | 2020-04-10 | 2020-08-25 | 昆明理工大学 | Method for evaluating mixing effect of immiscible two phases |
| CN111855654A (en) * | 2020-06-09 | 2020-10-30 | 昆明理工大学 | Method for evaluating multiphase flow enhanced stirring mixing effect |
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2010
- 2010-11-03 CN CN2010105299685A patent/CN102004816A/en active Pending
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107271493A (en) * | 2017-07-07 | 2017-10-20 | 中国电建集团中南勘测设计研究院有限公司 | A kind of Air Concentration in Water Flow computational methods and system based on normal distribution |
| CN111583270A (en) * | 2020-04-10 | 2020-08-25 | 昆明理工大学 | Method for evaluating mixing effect of immiscible two phases |
| CN111583270B (en) * | 2020-04-10 | 2022-06-10 | 昆明理工大学 | Method for evaluating mixing effect of immiscible two phases |
| CN111855654A (en) * | 2020-06-09 | 2020-10-30 | 昆明理工大学 | Method for evaluating multiphase flow enhanced stirring mixing effect |
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Application publication date: 20110406 |