CN104849082B - A kind of method for measuring stirred tank mixed - Google Patents

A kind of method for measuring stirred tank mixed Download PDF

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CN104849082B
CN104849082B CN201510251503.0A CN201510251503A CN104849082B CN 104849082 B CN104849082 B CN 104849082B CN 201510251503 A CN201510251503 A CN 201510251503A CN 104849082 B CN104849082 B CN 104849082B
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mrow
stirred tank
plane direction
gas holdup
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CN104849082A (en
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刘青
刘庭耀
盛勇
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University of Science and Technology Beijing USTB
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Abstract

The invention belongs to field of metallurgy and chemical engineering, more particularly to a kind of method for measuring stirred tank mixed.Local Gas Holdup in surveyed data basis, using Related Mathematical Models, is converted to mixing time by the present invention by measuring the gas holdup of stirred tank in real time, and the mixing ability of stirred tank can be quickly and easily measured by gained mixing time;In addition to the mixing ability that can reflect stirred tank, inflation inlet position is also arranged on diverse location by the present invention, and by contrasting mixing time length, optimal material inlet position in stirred tank is judged, so as to improve production efficiency.

Description

A kind of method for measuring stirred tank mixed
Technical field
The invention belongs to field of metallurgy and chemical engineering, more particularly to a kind of method for measuring stirred tank mixed.
Background technology
Stirred tank is a kind of significant element equipment for being widely used in the fields such as chemical metallurgy.Stirred tank is stirred by machinery Mix, accelerate momentum transmission, heat transfer, mass transfer and the chemical reaction (i.e. " transport ") of material in kettle, and then quickly Material in kettle is well mixed by ground.In actual production, moulding, size and the running parameter of stirred tank all can be to stirred tanks The mixed effect of interior material has an impact, and the mixed of stirred tank is an important finger as research and design stirred tank Mark.
Generally, the mixed for measuring stirred tank mainly has two methods:1) quantitative show is added into stirred tank material Track agent, and the material in kettle is sampled at regular intervals, the concentration of institute's tracer-containing in material is determined, when measured track When agent concentration reaches 90% or so of preferable mixing concentration, the time this moment is recorded, reaches the length for mixing concentration-time by comparing It is short to judge the mixing ability of stirred tank;2) electrolyte is added into stirred tank, and many places electrode is installed in stirred tank, works as electricity When pole is surveyed stirred tank internal conductance rate and no longer changed, record time this moment, when reaching stable state by comparing kettle internal conductance rate Between length judge the mixing ability of stirred tank.The advantages of can be seen that both the above method from existing document is directly perceived, accurate Really, but higher to measuring environment and equipment precision requirement, time of measuring is longer, it is impossible to quickly and easily measures the mixed of stirred tank Conjunction ability.
The content of the invention
The purpose of the present invention is to overcome prior art defect, by measuring the gas holdup of stirred tank in real time, and in surveyed number On the basis of, using Related Mathematical Models, Local Gas Holdup is converted into mixing time, can be quick by gained mixing time Easily measure the mixing ability of stirred tank.In addition to the mixing ability that can reflect stirred tank, the present invention is also by inflation inlet position Diverse location is arranged on, and by contrasting mixing time length, optimal material inlet position in stirred tank is judged, so as to improve Production efficiency.
In order to realize the above object the technical solution adopted by the present invention is:
A kind of method for measuring stirred tank mixed, it is characterised in that the described method comprises the following steps:
Step 1) is continuously injected into the constant gas of flow by inflation inlet into stirred tank, and determines the overall gas of stirred tank Containing rate;
Step 2) carries out average some regions of division to the horizontal plane direction of the stirred tank respectively with vertical plane direction, and Determine the Local Gas Holdup of regional, the number that horizontal plane direction and the vertical plane direction of the stirred tank are respectively divided should The control errors for ensureing to calculate the Local Gas Holdup and actual gas holdup determined are below 3%;
Step 3) is according to above-mentioned steps 2) determine regional Local Gas Holdup, and above-mentioned steps 1) determine it is described The overall gas holdup of stirred tank, determine the horizontal plane direction of the stirred tank and the coefficient of variation in vertical plane direction;
The horizontal plane direction for the stirred tank that step 4) determines according to step 3) and the coefficient of variation in vertical plane direction are right The coefficient of variation is analyzed, and determines mixing time;
Step 5) change above-mentioned steps 1) inflation inlet, repeat the above steps 1) -4), determine different inflation inlet positions Mixing time, the mixing time of more different inflation inlet positions, it is determined that optimal inflation inlet.
Preferentially, the overall gas holdup of stirred tank is determined in the step 1), before inflation starts, measures the stirring The liquid level H for the liquid being stirred in kettle;Then process is inflated, when the liquid level of the liquid stirred in the stirred tank When fluctuation is stable, the liquid level H ' of liquid is measured;Stirred tank is determined according to the measurement height that the inflation of the liquid level of liquid is front and rear Overall gas holdup:
The VGFor the overall gas holdup of stirred tank;The r is stirred tank equivalent radius, unit m;The H ' is stirred tank Liquid level after inflation, unit m;Liquid level before the H inflates for stirred tank, unit m.
Preferentially, the horizontal plane direction of the stirred tank and the determination of the coefficient of variation in vertical plane direction, it is first determined institute The horizontal plane direction region gas holdup of stirred tank and the standard deviation of vertical plane direction region gas holdup are stated, it is as follows:
The σHIt is poor for the horizontal plane direction regional standard of the stirred tank;The σVFor the vertical plane side of the stirred tank It is poor to regional standard;The XiFor the horizontal plane direction ith zone Local Gas Holdup of the stirred tank;The YiStirred to be described Mix the vertical plane direction ith zone Local Gas Holdup of kettle;The NHFor the horizontal plane direction region division of the stirred tank Number;NVFor the number of the vertical plane direction region division of the stirred tank;
According to the standard deviation of the horizontal plane direction region gas holdup of the stirred tank and vertical plane direction region gas holdup, really The horizontal plane direction coefficient of variation corresponding with vertical plane direction of the fixed stirred tank:
The VCHFor the coefficient of variation in the horizontal plane direction region of the stirred tank;The VCVFor the stirred tank Vertical plane direction region the coefficient of variation.
Preferentially, the horizontal plane direction of the stirred tank and the coefficient of variation in vertical plane direction are carried out in the step 4) Analysis, determines the mixing time of stirred tank, and the mixing time meets two conditions:
Condition 4.1:Change over time, at any two moment, the variation of the Average Air Content in vertical plane direction region The difference of coefficient is less than or equal to 0.01;
Condition 4.2:Change over time, the coefficient of variation of the Average Air Content in horizontal plane direction region are less than or equal to 10%.
Preferentially, the horizontal plane direction of the stirred tank and the coefficient of variation in vertical plane direction and mixing time triadic relation It is as follows:
It is describedFor VCHValue when reaching 0.1 the time required to, unit s;It is describedFor VCVValue reach dynamic The time required to when state balances, unit s;The TmixFor mixing time, and reach the time required for preferable stirring, unit s。
, will be local using Related Mathematical Models by measuring the gas holdup of stirred tank in real time, and in surveyed data basis Gas holdup is converted to mixing time.Because gas holdup can quickly and easily be obtained by a variety of methods, so, mixed by gained The even time can quickly and easily measure the mixing ability of stirred tank.
In addition to the mixing ability that can reflect stirred tank, inflation inlet position can also be arranged on diverse location by the present invention, and By contrasting mixing time length, optimal material inlet position in stirred tank is judged, so as to improve production efficiency.
Brief description of the drawings
Fig. 1 is the stirred tank vertical plane direction average marker in a kind of described measurement stirred tank stirring capacity method of invention The schematic diagram of some deciles;
Fig. 2 is the stirred tank horizontal plane direction average marker in a kind of described measurement stirred tank stirring capacity method of invention The schematic diagram of some deciles;
Fig. 3 is a kind of flow chart of measurement stirred tank stirring capacity method involved in the present invention.
Embodiment
In order to make the purpose , technical scheme and advantage of the present invention be clearer, it is right below in conjunction with drawings and Examples The present invention is explained in further detail.It should be appreciated that specific embodiment described herein is only used for explaining the present invention, not For limiting the present invention.
On the contrary, the present invention covers any replacement done in the spirit and scope of the present invention being defined by the claims, repaiied Change, equivalent method and scheme.Further, in order that the public has a better understanding to the present invention, below to the thin of the present invention It is detailed to describe some specific detail sections in section description.Part without these details for a person skilled in the art Description can also understand the present invention completely.
The embodiments of the invention provide a kind of method for measuring stirred tank mixed.
First, the constant gas of flow is continuously injected into stirred tank by a certain inflation inlet, utilizes liquid fluctuating height Measure overall gas holdup in stirred tank, while the Local Gas Holdup in measurement stirred tank in real time.
When inflating beginning, the liquid level H before the liquid level inflation of the stirred tank is measured first, it is determined that liquid before inflation After the height in face, the stirred tank is inflated, the liquid level of stirred tank raises in the presence of gas, now, in stirred tank Contain a certain amount of gas, when the liquid fluctuating is stable, measures the liquid level H ' of the stirred tank, stirred according to described Mix the front and rear overall gas holdup for measuring height and determining stirred tank of the liquid level inflation of kettle:
The VGFor the overall gas holdup of stirred tank;The r is stirred tank equivalent radius, unit m;The H ' is stirred tank Liquid level after inflation, unit m;Liquid level before the H inflates for stirred tank, unit m.
Secondly, average division is carried out respectively in vertical plane direction and horizontal plane direction to the stirred tank, waited if being divided into Subregion, as shown in Figures 1 and 2, the vertical plane direction and the subregions such as the division in horizontal plane direction of above-mentioned stirred tank are distinguished It is labeled, each decile zoning n in vertical plane direction1,n2,,nnMark, each decile zoning in horizontal plane direction Use r1,r2,,rnMark.Local Gas Holdup according to subregions such as above-mentioned divisions to each region, according to the horizontal plane side of mark To and the decile region quantity of vertical plane direction average marker and corresponding Local Gas Holdup and above-mentioned formula (1) determine it is described Stirred tank entirety gas holdup VG, the horizontal plane direction region gas holdup that must draw the stirred tank and vertical plane direction are calculated respectively The standard deviation of region gas holdup is as follows:
The σHIt is poor for the horizontal plane direction regional standard of the stirred tank;The σVFor the vertical plane side of the stirred tank It is poor to regional standard;The XiFor the horizontal plane direction ith zone Local Gas Holdup of the stirred tank;The YiStirred to be described Mix the vertical plane direction ith zone Local Gas Holdup of kettle;The NHFor the horizontal plane direction region division of the stirred tank Number;NVFor the number of the vertical plane direction region division of the stirred tank.
The subregions such as some are drawn by averagely being divided in vertical plane direction and horizontal plane direction to above-mentioned stirred tank, to institute The number for stating the region that the horizontal plane direction of stirred tank divides with vertical plane method can be the same or different, and measure these Etc. subregional Local Gas Holdup, by etc. subregion Local Gas Holdup be converted to the overall gas holdup of its correspondence direction of stirred tank Standard deviation, this standard deviation can reflect the actual gas holdup of its correspondence direction and the preferable extent of deviation for mixing gas holdup.In theory More Deng subregion, resulting corresponding gas holdup standard deviation is closer to legitimate reading, but amount of calculation is consequently increased, so, Division etc. divide region quantity should be by actual computing capability depending on.
According to the horizontal plane direction region gas holdup of the above-mentioned stirred tank drawn and vertical plane direction region gas holdup Standard deviation, utilize formula (1) determine stirred tank overall gas holdup VG, the horizontal plane direction of the stirred tank is drawn respectively The coefficient of variation corresponding with vertical plane direction.
The VCHFor the coefficient of variation in the horizontal plane direction region of the stirred tank;The VCVFor the stirred tank Vertical plane direction region the coefficient of variation.
According to the coefficient of variation in the horizontal plane direction of the stirred tank of above-mentioned determination and vertical plane direction, to above two The coefficient of variation is analyzed, change over time, when the Average Air Content coefficient of variation in vertical plane direction region reaches dynamic Balance, and the coefficient of variation of the Average Air Content in horizontal plane direction region (reaches preferable degree of mixedness less than or equal to 10% 90%) when, this moment the time be stirred tank mixing time, judge the mixing of stirred tank by comparing the length of mixing time Ability, mixing time is shorter, and the mixed of stirred tank is stronger.The horizontal plane direction of the stirred tank and the change in vertical plane direction Different coefficient and mixing time triadic relation is as follows:
It is describedFor VCHValue when reaching 0.1 the time required to, unit s;It is describedFor VCVValue reach dynamic The time required to when state balances, unit s;The TmixFor mixing time, and reach the time required for preferable stirring, unit s。
In addition, inflation inlet is arranged on into diverse location, said process is repeated, draws the mixing time of different inflation inlets, is led to Cross more corresponding mixing time length, it can be determined that the material inflation inlet optimum position of stirred tank.
So that case is embodied, the present invention is further elaborated below.
Using volume as 0.04m3Standard Rushton stirred tanks exemplified by, in the stirred tank course of work, from bottom injection fill Tolerance is 2 × 10-4m3/ s air, the overall gas holdup V of stirred tank is calculated according to liquid level changeG.Along stirred tank water In-plane quadrisection, vertical plane direction are divided into six deciles, and horizontal plane direction region and vertical plane side are calculated respectively To after the standard deviation of region gas holdup, the corresponding coefficient of variation is drawn, and mixing time is drawn with reference to the coefficient of variation.Implementation process In, test effect of the invention, table are illustrated by taking stirred tank rotating speed 100rpm, 200rpm, 300rpm, 400rpm and 600rpm as an example 1 is the coefficient of variation and mixing time of stirred tank under five rotating speeds of the above.As can be seen from the table, rotating speed increases, mixing time Gradually decrease, when rotating speed is 300rpm, mixing time is most short, and mixed is optimal, as mixing speed continues to increase, mixing Ability is also gradually deteriorated therewith.
The coefficient of variation and mixing time of stirred tank under the different rotating speeds of table 1

Claims (4)

  1. A kind of 1. method for measuring stirred tank mixed, it is characterised in that the described method comprises the following steps:
    Step 1) is continuously injected into the constant gas of flow by inflation inlet into stirred tank, and determines that the overall gas of stirred tank contains Rate;
    Step 2) carries out average some regions of division to the horizontal plane direction of the stirred tank respectively with vertical plane direction, and determines The Local Gas Holdup of regional, the number that the horizontal plane direction of the stirred tank is respectively divided with vertical plane direction, should ensure that The control errors of the Local Gas Holdup and actual gas holdup determined are calculated below 3%;
    Step 3) is according to above-mentioned steps 2) determine regional Local Gas Holdup, and above-mentioned steps 1) determine the stirring The overall gas holdup of kettle, determine the horizontal plane direction of the stirred tank and the coefficient of variation in vertical plane direction;
    The horizontal plane direction for the stirred tank that step 4) determines according to step 3) and the coefficient of variation in vertical plane direction, to variation Coefficient is analyzed, and determines mixing time;
    Step 5) change above-mentioned steps 1) inflation inlet, repeat the above steps 1) -4), determine the mixing of different inflation inlet positions Time, the mixing time of more different inflation inlet positions, it is determined that optimal inflation inlet;
    The horizontal plane direction of the stirred tank and the determination of the coefficient of variation in vertical plane direction, it is first determined the water of the stirred tank The standard deviation of in-plane region gas holdup and vertical plane direction region gas holdup is as follows:
    <mrow> <msub> <mi>&amp;sigma;</mi> <mi>H</mi> </msub> <mo>=</mo> <msqrt> <mrow> <mfrac> <mn>1</mn> <msub> <mi>N</mi> <mi>H</mi> </msub> </mfrac> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <msub> <mi>N</mi> <mi>H</mi> </msub> </munderover> <msup> <mrow> <mo>(</mo> <msub> <mi>X</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>V</mi> <mi>G</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> </mrow>
    <mrow> <msub> <mi>&amp;sigma;</mi> <mi>V</mi> </msub> <mo>=</mo> <msqrt> <mrow> <mfrac> <mn>1</mn> <msub> <mi>N</mi> <mi>V</mi> </msub> </mfrac> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <msub> <mi>N</mi> <mi>V</mi> </msub> </munderover> <msup> <mrow> <mo>(</mo> <msub> <mi>Y</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>V</mi> <mi>G</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> </mrow>
    The VGFor the overall gas holdup of stirred tank;The σHFor the standard of the horizontal plane direction region gas holdup of the stirred tank Difference;The σVFor the standard deviation of the vertical plane direction region gas holdup of the stirred tank;The XiFor the horizontal plane of the stirred tank Direction ith zone Local Gas Holdup;The YiFor the vertical plane direction ith zone Local Gas Holdup of the stirred tank;Institute State NHFor the number of the horizontal plane direction region division of the stirred tank;NVFor the vertical plane direction region division of the stirred tank Number;
    According to the standard deviation of the horizontal plane direction region gas holdup of the stirred tank and vertical plane direction region gas holdup, institute is determined State the horizontal plane direction coefficient of variation corresponding with vertical plane direction of stirred tank:
    <mrow> <mi>V</mi> <mo>&amp;CenterDot;</mo> <msub> <mi>C</mi> <mi>H</mi> </msub> <mo>=</mo> <mfrac> <msub> <mi>&amp;sigma;</mi> <mi>H</mi> </msub> <msub> <mi>V</mi> <mi>G</mi> </msub> </mfrac> </mrow>
    <mrow> <mi>V</mi> <mo>&amp;CenterDot;</mo> <msub> <mi>C</mi> <mi>V</mi> </msub> <mo>=</mo> <mfrac> <msub> <mi>&amp;sigma;</mi> <mi>V</mi> </msub> <msub> <mi>V</mi> <mi>G</mi> </msub> </mfrac> </mrow>
    The VCHFor the coefficient of variation in the horizontal plane direction region of the stirred tank;The VCVFor hanging down for the stirred tank Face the coefficient of variation in direction region directly.
  2. 2. according to the method for claim 1, it is characterised in that the overall gas holdup of stirred tank is determined in the step 1), Before inflation starts, the liquid level H before the liquid level inflation that the stirred tank is stirred is measured;Then it was inflated Journey, when the liquid fluctuating of the liquid of the stirred tank is stable, measure the liquid level H ' of liquid;Inflated according to the liquid level of liquid Front and rear measurement height determines the overall gas holdup of stirred tank:
    <mrow> <msub> <mi>V</mi> <mi>G</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msup> <mi>&amp;pi;r</mi> <mn>2</mn> </msup> <mrow> <mo>(</mo> <msup> <mi>H</mi> <mo>&amp;prime;</mo> </msup> <mo>-</mo> <mi>H</mi> <mo>)</mo> </mrow> </mrow> <mrow> <msup> <mi>&amp;pi;r</mi> <mn>2</mn> </msup> <msup> <mi>H</mi> <mo>&amp;prime;</mo> </msup> </mrow> </mfrac> <mo>&amp;times;</mo> <mn>100</mn> <mi>%</mi> </mrow>
    The r is stirred tank equivalent radius, unit m;Liquid level after the H ' inflates for stirred tank, unit m;The H is to stir Mix liquid level before kettle is inflated, unit m.
  3. 3. according to the method for claim 1, it is characterised in that to the horizontal plane direction of the stirred tank in the step 4) Analyzed with the coefficient of variation in vertical plane direction, determine the mixing time of stirred tank, the mixing time meets two conditions:
    Condition 4.1:Change over time, at any two moment, the coefficient of variation of the Average Air Content in vertical plane direction region Difference be less than or equal to 0.01;
    Condition 4.2:Change over time, the coefficient of variation of the Average Air Content in horizontal plane direction region are less than or equal to 10%.
  4. 4. according to the method for claim 1, it is characterised in that the horizontal plane direction of the stirred tank and vertical plane direction The coefficient of variation and mixing time triadic relation are as follows:
    <mrow> <msub> <mi>T</mi> <mrow> <mi>m</mi> <mi>i</mi> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <msub> <mi>T</mi> <mrow> <mi>V</mi> <mo>&amp;CenterDot;</mo> <msub> <mi>C</mi> <mi>H</mi> </msub> </mrow> </msub> </mtd> <mtd> <mrow> <msub> <mi>T</mi> <mrow> <mi>V</mi> <mo>&amp;CenterDot;</mo> <msub> <mi>C</mi> <mi>H</mi> </msub> </mrow> </msub> <mo>&amp;GreaterEqual;</mo> <msub> <mi>T</mi> <mrow> <mi>V</mi> <mo>&amp;CenterDot;</mo> <msub> <mi>C</mi> <mi>V</mi> </msub> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <msub> <mi>T</mi> <mrow> <mi>V</mi> <mo>&amp;CenterDot;</mo> <msub> <mi>C</mi> <mi>V</mi> </msub> </mrow> </msub> </mtd> <mtd> <mrow> <msub> <mi>T</mi> <mrow> <mi>V</mi> <mo>&amp;CenterDot;</mo> <msub> <mi>C</mi> <mi>H</mi> </msub> </mrow> </msub> <mo>&amp;le;</mo> <msub> <mi>T</mi> <mrow> <mi>V</mi> <mo>&amp;CenterDot;</mo> <msub> <mi>C</mi> <mi>V</mi> </msub> </mrow> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>
    It is describedFor VCHValue when reaching 0.1 the time required to, unit s;It is describedFor VCVValue reach dynamic The time required to during balance, unit s;The TmixFor mixing time, and reach the time required for preferable stirring, unit s.
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