CN102284360A - Method for determining trapping efficiency of electrostatic dust collector on inhalable particulate matters (PM10) - Google Patents
Method for determining trapping efficiency of electrostatic dust collector on inhalable particulate matters (PM10) Download PDFInfo
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- CN102284360A CN102284360A CN2011102369642A CN201110236964A CN102284360A CN 102284360 A CN102284360 A CN 102284360A CN 2011102369642 A CN2011102369642 A CN 2011102369642A CN 201110236964 A CN201110236964 A CN 201110236964A CN 102284360 A CN102284360 A CN 102284360A
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Abstract
The invention relates to a method for determining the trapping efficiency of an electrostatic dust collector on inhalable particulate matters (PM10). The method comprises the following steps of: with a simplified model of a wiring board electrostatic dust collector as a research object, counting electric charges of an electric field and diffusion electric charges and establishing a mathematical model of an internal flow field, the electric field and a partical size field of the electrostatic dust collector by a FLUENT loading model and a customized function; and performing numerical calculation by a finite volume method (FVM), calculating the grading efficiency of PM10 partical groups by a Deutsch-Anderson method, and performing Weibull distribution fitting on the grading efficiency of the PM10 partical groups by a least square method with curves of changed partical sizes of particles. According to verification, the fitting method is high in accuracy and can be used as the reference of the method for calculating the trapping efficiency of the electrostatic dust collector on PM10, and the predictability of the dust collection efficiency is improved greatly.
Description
Technical field
The present invention relates to a kind of environment pollution technology problem, particularly a kind of definite method of electrostatic precipitator pellet PM10 arresting efficiency.
Background technology
Along with developing rapidly of industry, pellet (PM10) pollutes increasingly serious.PM10 not only can reduce air quality, causes global climate and changes, but also can bring out the human body various diseases.Electrostatic precipitator has higher arresting efficiency to PM10, yet PM10 has still occupied very big proportion in the ESP discharged particle, and is very important to the research that PM10 among the ESP captures.Chinese scholars captures at electrostatic precipitator PM10 and has carried out a series of work at present, and the characteristic that utilize various method, electrostatic precipitator PM10 is captured from different sides is explored.
Summary of the invention
The present invention be directed to existing pellet (PM10) and pollute increasingly serious problem, a kind of definite method of electrostatic precipitator pellet PM10 arresting efficiency has been proposed, theoretical research and engineering background in conjunction with domestic and international electrostatic precipitator, set up the Mathematical Modeling of electrostatic precipitator PM10 arresting efficiency, use the Deutsch-Anderson method and calculated the PM10 classification efficiency, and based on this PM10 classification efficiency change curve has been carried out the Weibull distribution match, this approximating method precision height of empirical tests.
Technical scheme of the present invention is: a kind of definite method of electrostatic precipitator pellet PM10 arresting efficiency, and method comprises following concrete steps:
1) set up model: the electric field of the board-like electrostatic precipitator passage of line by two groups of parallel dust collecting pole plates and be positioned at its Centromedian one row equally spaced corona wire form, choose the passage dust collecting pole plate as simulated object;
2) with dust collecting pole plate along being divided on the airflow direction
Section, wherein
By the decision of the granule number under the particle diameter that is captured on the dust collecting pole plate, definition
Be
The length of dust collecting pole plate section:
In the formula,
Be along on the airflow direction, begin counting from the inlet of electrostatic precipitator electric field, the
The abscissa value of certain the particle diameter particle landing point on dust collecting pole plate that is captured, in addition, when
The time,
When
The time,
3) electric field is about corona wire place central shaft symmetry, choose symmetry axis upside half-plane as the zoning, use GAMBIT software that the zoning is comprised that grid is divided in interior dispersing, be divided into structured grid, the further refinement of grid is carried out near the high zone of the voltage gradient corona wire;
4)
The particle diameter dust is
Efficiency of dust collection in the dedusting section
Can be expressed as:
In the formula,
Be
The migration velocity of particle diameter dust;
Be
The dedusting area of dedusting section correspondence,
Be flue gas flow,
Be the distance between corona wire and dust collecting pole plate;
Height for the electrostatic precipitator electric field;
Be the porch flue gas flow rate, will
With
The substitution following formula, can simplify
Formula:
The
The particle diameter dust is along the efficiency of dust collection on the whole dust collecting pole plate length, i.e. grade dust-collection efficiency
, can be expressed as:
, in the formula,
Be
In the area of space of dedusting section correspondence, the
The granule density of particle diameter dust, when
The time,
, represent of electrostatic precipitator porch
Particle diameter dust granules concentration;
5) establish classification efficiency
With grain diameter
The curve that changes satisfies Weibull distribution:
In the formula:
Be that electrostatic precipitator is to different-grain diameter
The grade dust-collection efficiency of particle,
,
Be respectively the minimum of a value and the corresponding classification efficiency of grain diameter;
,
Form parameter and scale parameter for Weibull distribution;
6) formula in the step 5) is carried out letter and carry out least square fitting again after linear, obtain the form parameter of Weibull distribution
And scale parameter
, just can determine the speed displacement curve;
7) according to the speed displacement curve of determining, obtain classification efficiency
With grain diameter
The curve fitting formula that changes is:
, try to achieve classification efficiency
With grain diameter
The curve that changes.
Beneficial effect of the present invention is: definite method of a kind of electrostatic precipitator pellet of the present invention PM10 arresting efficiency, set up the Mathematical Modeling of electrostatic precipitator PM10 arresting efficiency, use the Deutsch-Anderson method and calculated the PM10 classification efficiency, and based on this PM10 classification efficiency change curve has been carried out the Weibull distribution match, this approximating method precision height of empirical tests, can be used as the reference of electrostatic precipitator PM10 arresting efficiency computational methods, improve the predictability of efficiency of dust collection greatly.
Description of drawings
Fig. 1 is the designs simplification illustraton of model of the board-like electrostatic precipitator electric field of line;
Fig. 2 is that the grid of the board-like electrostatic precipitator part of line electric field is divided figure;
Fig. 3 is variation and the Weibull fitted figure of classification efficiency of the present invention with particle diameter.
The specific embodiment
Finding the solution of electrostatic precipitator PM10 arresting efficiency:
Finding the solution at first: the basic conservation equation of flow field, particle field and electric field: mass-conservation equation, momentum conservation equation, current continuity equation and Poisson's equation to electrostatic precipitator flow field, particle field and electric field, for the ease of above-mentioned governing equation is analyzed, set up the common version of governing equation.With
The expression common variable, governing equation can be expressed as:
In the formula,
---atmospheric density;
---common variable, can represent all directions velocity component;
---the broad sense diffusion coefficient;
---the broad sense source item,
---Hamiltonian.Every transient term, convective term, diffusion term and source item of being followed successively by in the formula, for specific equation,
,
,
Also has specific forms.For continuity equation, get
For the equation of momentum, get
,
,
Be all directions velocity component; For two equations
Turbulence model,
For the current continuity equation, get
For Poisson's equation, get
,
The index span is (1,2,3),
,
According to
And decide.
Adopt limited bulk discrete to governing equation (1), according to computing grid, at the control volume
And the time period
(time from
Arrive
) upper integral and introduce the Guass divergence theorem, the conservation equation common version of then finding the solution integrated form is as follows:
First on the formula left side shows variable
Total amount amount over time in the control volume, second on left side expression variable
Because of convection current cause along control volume surface exterior normal direction
Discharge rate.First on the right is the integration of diffusion term---the control volume internal variable has a net increase of dosage because of what diffusion caused, and second on the right is the integration of source item---in the control volume because the variable that generation, dissipation or other reasons source item cause has a net increase of dosage,
---vorticity,
Therefore, under the situation of setting inlet flow velocity and operating voltage, carry out iterative by (2) formula, satisfy continuity equation until the velocity field of trying to achieve, draw this each particle y constantly to the calculated value of speed, and migration velocity calculates the classification efficiency of electrostatic precipitator to PM10 thus as the particle migration velocity
Secondly finding the solution efficiency of dust collection: with dust collecting pole plate along being divided on the airflow direction
Section, wherein
Determine by the granule number under certain particle diameter that is captured on the dust collecting pole plate.Certainly, section is obtained intensive more, and counting accuracy is good more.Definition
Be
The length of dust collecting pole plate section:
In the formula,
Be along on the airflow direction, begin counting from the inlet of electrostatic precipitator electric field, the
The abscissa value of certain the particle diameter particle landing point on dust collecting pole plate that is captured.In addition, when
The time,
When
The time,
The
The particle diameter dust is
Efficiency of dust collection in the dedusting section
Can be expressed as:
In the formula,
Be
The migration velocity of particle diameter dust (or velocity of approach) is usually than the speed on the smoke inlet flow velocity direction
Low order of magnitude;
Be
The dedusting area of dedusting section correspondence,
Be flue gas flow,
Be the distance between corona wire and dust collecting pole plate;
Height for the electrostatic precipitator electric field;
Be the porch flue gas flow rate.
So,
The particle diameter dust is along the efficiency of dust collection on the whole dust collecting pole plate length, i.e. grade dust-collection efficiency
(or classification efficiency) can be expressed as:
In the formula,
Be
In the area of space of dedusting section correspondence, the
The granule density of particle diameter dust.When
The time,
, represent of electrostatic precipitator porch
Particle diameter dust granules concentration.At last, according to the efficiency of dust collection of passage list of electrostatic precipitator electric field to the efficiency of dust collection calculated value estimation whole audience of dust collecting pole plate.
The application software solution procedure:
At first the foundation of model with find the solution discrete region: the electric field of the single passage of the board-like electrostatic precipitator of line is by two groups of parallel dust collecting pole plates 1 and be positioned at the equally spaced corona wire 2 of its Centromedian row and form, choose be positioned at the passage forefront a pair of dust collecting pole plate as simulated object, as shown in Figure 1.Choose corona wire to the distance between dust collecting pole plate
, the corona wire spacing
, the corona wire radius
The flue gas level flows into, and level flows out.
Because electric field about corona wire place central shaft symmetry, is chosen symmetry axis upside half-plane as the zoning.Use GAMBIT software to be dispersed in the zoning, be divided into
The structured grid of individual control volume.Voltage gradient is very high near the corona wire, special must be with the further refinement of this area grid.Grid in the first quartile of zoning, as shown in Figure 2.
Secondly the setting of boundary condition: it has been generally acknowledged that the fully development of porch turbulent flow, inlet air flow evenly distributes on the cross section, adopts speed import boundary condition.No slip boundary condition is adopted on the dust collecting pole plate surface, and near wall place viscous effect strengthens, and the DIFFUSION IN TURBULENCE effect weakens, thereby adopts the standard law of wall function method.Dust granules is discrete to be escape at the boundary condition that enters the mouth with the exit, and the corona wire surface is reflection, and the dust collecting pole plate surface is to catch.Think that space charge density is a constant, the space charge density boundary condition of import, outlet, corona wire surface and dust collecting pole plate inner surface is set to
The board-like electrostatic precipitator boundary condition of line line as shown in table 1 board-like (spool formula) electrostatic precipitator boundary condition.
Table 1
? | X-speed | Y-speed | Operating voltage | Space charge density | The particle phase |
Advance | Escape | ||||
Go out | Pressure | Pressure | Escape | ||
Corona wire | No slip | No slip | Reflect | ||
Dust collecting pole plate | No slip | No slip | Trap |
Particle diameter under the Weibull Function-classification efficiency curve match:
Provide the approximating method of PM10 classification efficiency curve below in conjunction with data point, and the precision of matched curve is verified.Choosing operating mode is: operating voltage
, the smoke inlet flow velocity
, the dust size scope
, and meet the Rosin-Rammler distribution.
If classification efficiency
With grain diameter
The curve that changes satisfies Weibull distribution:
In the formula:
Be that electrostatic precipitator is to different-grain diameter
The grade dust-collection efficiency of particle,
,
Be respectively the minimum of a value and the corresponding classification efficiency of grain diameter;
,
Form parameter and scale parameter for Weibull distribution.
Change for formula (7), its abbreviation is linear:
Carry out least square fitting again, calculate
With
Value, and obtain the form parameter of Weibull distribution
And scale parameter
, just can determine the speed displacement curve.
At the data point among Fig. 3,, obtain classification efficiency in conjunction with said method
With grain diameter
The curve fitting formula that changes is
(9)
Try to achieve classification efficiency according to formula (9)
With grain diameter
The curve that changes, as shown in Figure 3.
With
Be example, substitution grain size grading efficiency curve fitting formula (9) obtains the classification efficiency of particle
(soft dot among Fig. 3), this paper by the gradation efficient that numerical computations obtains is
, be benchmark with the result of calculation of fitting formula, the error of calculation
For:
Claims (1)
1. definite method of an electrostatic precipitator pellet PM10 arresting efficiency is characterized in that method comprises following concrete steps:
1) set up model: the electric field of the board-like electrostatic precipitator passage of line by two groups of parallel dust collecting pole plates and be positioned at its Centromedian one row equally spaced corona wire form, choose the passage dust collecting pole plate as simulated object;
2) with dust collecting pole plate along being divided into section on the airflow direction, wherein
By the decision of the granule number under the particle diameter that is captured on the dust collecting pole plate, definition
Be
The length of dust collecting pole plate section:
In the formula,
Be along on the airflow direction, begin counting from the inlet of electrostatic precipitator electric field, the
The abscissa value of certain the particle diameter particle landing point on dust collecting pole plate that is captured, in addition, when
The time,
When
The time,
3) electric field is about corona wire place central shaft symmetry, choose symmetry axis upside half-plane as the zoning, use GAMBIT software that the zoning is comprised that grid is divided in interior dispersing, be divided into structured grid, the further refinement of grid is carried out near the high zone of the voltage gradient corona wire;
4)
The particle diameter dust is
Efficiency of dust collection in the dedusting section
Can be expressed as:
In the formula,
Be
The migration velocity of particle diameter dust;
Be
The dedusting area of dedusting section correspondence,
Be flue gas flow,
Be the distance between corona wire and dust collecting pole plate;
Height for the electrostatic precipitator electric field;
Be the porch flue gas flow rate, will
With
The substitution following formula, can simplify
Formula:
The
The particle diameter dust is along the efficiency of dust collection on the whole dust collecting pole plate length, i.e. grade dust-collection efficiency
, can be expressed as:
, in the formula,
Be
In the area of space of dedusting section correspondence, the
The granule density of particle diameter dust, when
The time,
, represent of electrostatic precipitator porch
Particle diameter dust granules concentration;
5) establish classification efficiency
With grain diameter
The curve that changes satisfies Weibull distribution:
In the formula:
Be that electrostatic precipitator is to different-grain diameter
The grade dust-collection efficiency of particle,
,
Be respectively the minimum of a value and the corresponding classification efficiency of grain diameter;
,
Form parameter and scale parameter for Weibull distribution;
6) formula in the step 5) is carried out letter and carry out least square fitting again after linear, obtain the form parameter of Weibull distribution
And scale parameter
, just can determine the speed displacement curve;
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Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
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CN105817320A (en) * | 2015-05-19 | 2016-08-03 | 南通诺亚居环保科技有限公司 | Multi-row static high-efficient air-filtration system and application thereof |
CN106951603A (en) * | 2017-02-28 | 2017-07-14 | 上海电力学院 | PM2.5 arresting efficiency contribution rate curve-fitting methods based on POWER functions |
CN107644132A (en) * | 2017-09-18 | 2018-01-30 | 大唐环境产业集团股份有限公司 | A kind of computational methods for being used to simulate energized dust collector efficiency of dust collection |
CN109282337A (en) * | 2018-12-10 | 2019-01-29 | 杭州老板电器股份有限公司 | Kitchen ventilator and its control method |
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JPH11319741A (en) * | 1998-05-12 | 1999-11-24 | Huegle Electronics Kk | Method and apparatus for removing dust |
CN101417223A (en) * | 2008-11-18 | 2009-04-29 | 上海电力学院 | Desulfurization and denitration carbon base fuel fume mercury absorbent and use thereof |
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2011
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JPH11319741A (en) * | 1998-05-12 | 1999-11-24 | Huegle Electronics Kk | Method and apparatus for removing dust |
CN101417223A (en) * | 2008-11-18 | 2009-04-29 | 上海电力学院 | Desulfurization and denitration carbon base fuel fume mercury absorbent and use thereof |
CN101780361A (en) * | 2010-01-05 | 2010-07-21 | 浙江菲达环保科技股份有限公司 | Method and device for prompting aggregation of particles |
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Cited By (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN105817320A (en) * | 2015-05-19 | 2016-08-03 | 南通诺亚居环保科技有限公司 | Multi-row static high-efficient air-filtration system and application thereof |
CN106951603A (en) * | 2017-02-28 | 2017-07-14 | 上海电力学院 | PM2.5 arresting efficiency contribution rate curve-fitting methods based on POWER functions |
CN107644132A (en) * | 2017-09-18 | 2018-01-30 | 大唐环境产业集团股份有限公司 | A kind of computational methods for being used to simulate energized dust collector efficiency of dust collection |
CN107644132B (en) * | 2017-09-18 | 2021-06-11 | 大唐环境产业集团股份有限公司 | Calculation method for simulating dust removal efficiency of electrified dust remover |
CN109282337A (en) * | 2018-12-10 | 2019-01-29 | 杭州老板电器股份有限公司 | Kitchen ventilator and its control method |
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