CN106326520B - The moisture absorption reconstruct analogy method and system of black carbon clusters particle based on fractal theory - Google Patents
The moisture absorption reconstruct analogy method and system of black carbon clusters particle based on fractal theory Download PDFInfo
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Abstract
The present invention provides the moisture absorption reconstruct analogy method and system of a kind of black carbon clusters particle based on fractal theory, method therein includes, increase data according to the moisture absorption of black carbon aerosols particle, construct the moisture absorption model of growth of the black carbon monomer in black carbon clusters particle, increase the morphosis of the black carbon clusters particle of modeling using DLA model and moisture absorption, increase the matching of the black carbon clusters particle shape structure of data and simulation by the moisture absorption of black carbon aerosols particle, establish the moisture absorption reconstruction model of black carbon clusters particle, according to the moisture absorption reconstruction model of the moisture absorption model of growth of the black carbon monomer of foundation and black carbon clusters particle, utilize the moisture absorption restructuring procedure of the black carbon clusters particle of DLA modeling.Using the above method and system, can relatively accurately deformation process of the simulating black carbon clusters particle in humid air, further accurately to estimate that the Radiative Forcing effect of black carbon clusters particle provides necessary premise.
Description
Technical field
The present invention relates to particle shape structure simulation simulation field, more specifically, is related to a kind of based on fractal theory
The moisture absorption reconstruct analogy method and system of black carbon clusters particle.
Background technique
Since industrialization, mankind's activity is discharged directly to the atmosphere a large amount of particulate matter and polluted gas, and polluted gas is logical
It crosses heterogeneous phase chemical reaction and converts to form that particle is smaller, the longer particulate of average life span, so that the particulate matter in atmosphere
Content continues to increase, and has especially increased since 1950's more swift and violent.This pollution not only will affect climate change, lead
It causes Catastrophe climate extreme event to take place frequently, can also seriously affect atmospheric air quality and human health.In addition, biomass fuel and
Combustion of fossil fuel (such as crop straw burning, winter fire coal and motor vehicle exhaust emission) also results in the black carbon aerosols grain in atmosphere
The concentration of son obviously increases.
The morphosis of black carbon aerosols particle and other kinds of particulate the difference is that, by biomass
Being discharged into the black carbon particle overwhelming majority in atmosphere with combustion of fossil fuel is made of tens to several hundred black carbon monomers
Black carbon clusters shape particle.Further, since absorption highly significant of the black carbon aerosols particle to solar radiation, therefore, black carbon clusters
Particle radiation characteristic causes the extensive concern in atmospheric radiation field at present.
Since water has certain surface tension, so that black carbon clusters particle usually has one layer of water packet in humid air
Coating, meanwhile, and due to enough water penetrations that the loosening degree connected between black carbon monomer allows to a certain extent, and it is newborn
At black carbon clusters particle structure be it is more loose, therefore, in moist atmosphere, the surface tension of water can reconstruct grain
Son, the structure for keeping black carbon clusters particle loose gradually become consolidation, until to dense sphere is formed, and black carbon clusters particle with
Relative humidity increases and there is a phenomenon where moisture absorption reconstruct also to have obtained objective reality.Therefore, black carbon clusters particle is in form knot
Particularity in terms of structure causes its moisture absorption rising characteristic to be very different with other kinds of particulate, this variation
The radiation characteristic of black carbon clusters particle will further be influenced.
Black carbon clusters particle is to be flocked together to be formed by many small black carbon monomers, although being difficult to collect black carbon group
The original aggregates of cluster particle, but transmission electron microscope (Transmission electron can be passed through
Microscope, referred to as TEM) and scanning electron microscope (scanning electron microscope, referred to as SEM)
Observe the black carbon clusters object formed by cohesion.Since the fractal structure of the black carbon clusters particle of same scale is different, scattering
Characteristic is also completely different, is the black carbon clusters particle of research using the cohesion black carbon clusters particle structure of modeling therefore
Radiate very crucial and important step.Black carbon clusters particle can regard monomer movement as and agglomerate, with fractal theory by
Step is mature and the rapid development of computer technology, all for the simulation generation of aggregated particle provide many useful theoretical foundations with
Quickly and effectively simulation means.At present to there are mainly two types of the interpretation models of cluster particle coacervation phenomenon, i.e. diffusion limitation cohesion
(Diffusion Limited Aggregation, referred to as DLA) model and dynamics group (Cluster-Cluster
Aggregation, referred to as CCA) model.
CCA model describes the coacervation process between cluster and cluster, which enables all primary particles while entering one
A area of space simultaneously make random motion once particle and particle meet just formation particle cluster, these particle clusters further with its
His particle or particle cluster meet to form bigger particle cluster, until all primary particles are all agglomerated together.DLA model
It is initially proposed by the T.A.Witten and L.M.Sandert of Michigan, United States university, which assumes first that a certain central particles
Position is constant, and then from cube boundaries, a particle is randomly generated, carries out random walk；When particle and central particles are collided
When, it is taken as agglomerating, records the position of particle and radius at this time, then generate next particle from boundary again and continue to swim
It walks；It when particle leaves boundary, no longer tracks, and generates next particle；When aggregated particle number reaches required number
When coacervation process terminate.
But above-mentioned CCA model and DLA model are more to rely on the setting of cluster particle original state, therefore, reliably
Cluster particle original state setting be CCA model and DLA model application prerequisite.
Summary of the invention
In view of the above problems, the moisture absorption weight of the object of the present invention is to provide a kind of black carbon clusters particle based on fractal theory
Structure analogy method, with solve the problems, such as the prior art can not accurately simulating black carbon clusters particle moisture absorption restructuring procedure.
The present invention provides a kind of moisture absorption reconstruct analogy method of black carbon clusters particle based on fractal theory, comprising:
Step S1: data are increased according to the moisture absorption of black carbon aerosols particle, establish the black carbon in black carbon clusters particle respectively
The moisture absorption reconstruction model of the moisture absorption model of growth of monomer and black carbon clusters particle；Wherein, the moisture absorption of black carbon clusters particle is established
The process of reconstruction model, comprising:
S11: the black carbon clusters particle generated under the conditions of dry air according to DLA modeling；
S12: according to simulating the black carbon clusters particle of generation and the moisture absorption increased numbers of black carbon aerosols particle in step S11
According to the corresponding relationship of black carbon monomer number and black carbon clusters particle diameter in the black carbon clusters particle under the conditions of acquisition dry air；
S13: according to black carbon monomer number in the moisture absorption model of growth of the black carbon monomer of foundation and black carbon clusters particle with
The corresponding relationship of black carbon clusters particle diameter, the black carbon clusters particle generated under the conditions of different humidity using DLA modeling,
And the diameter of the black carbon clusters particle of calculating simulation generation；
S14: the black carbon clusters particle that generation is simulated in the moisture absorption growth data and step S13 of black carbon aerosols particle is straight
Diameter is matched, and the moisture absorption reconstruction model of black carbon clusters particle is established；
S2: mould is reconstructed according to the moisture absorption of the moisture absorption model of growth for the black carbon monomer established in step S1 and black carbon clusters particle
Type utilizes the moisture absorption restructuring procedure of the black carbon clusters particle of DLA modeling.
The moisture absorption of the present invention also provides a kind of black carbon clusters particle based on fractal theory reconstructs simulation system, comprising:
Moisture absorption model of growth establishes unit, for increasing data according to the moisture absorption of black carbon aerosols particle, establishes black carbon group
The moisture absorption model of growth of black carbon monomer in cluster particle；
Moisture absorption reconstruction model establishes unit, for increasing data according to the moisture absorption of black carbon aerosols particle, establishes black carbon group
The moisture absorption reconstruction model of cluster particle；Wherein, moisture absorption reconstruction model establishes unit, comprising:
First simulation generation module, the black carbon clusters particle for being generated under the conditions of dry air according to DLA modeling；
Corresponding relationship obtains module, the black carbon clusters particle and black carbon for being generated according to the first simulation generation module simulation
The moisture absorption of particulate increases data, black carbon monomer number and black carbon group in the black carbon clusters particle under the conditions of acquisition dry air
The corresponding relationship of cluster particle diameter；
Second simulation generation module increases for establishing the moisture absorption of black carbon monomer of unit foundation according to moisture absorption reconstruction model
Model and corresponding relationship obtain black carbon monomer number and black carbon clusters particle diameter in the black carbon clusters particle that module obtains
Corresponding relationship, the black carbon clusters particle generated under the conditions of different humidity using DLA modeling；
Particle diameter computing module simulates the straight of the black carbon clusters particle generated for calculating the second simulation generation module
Diameter；
Data match module, for the moisture absorption of black carbon aerosols particle to be increased data and the calculating of particle diameter computing unit
Black carbon clusters particle diameter out is matched, and the moisture absorption reconstruction model of black carbon clusters particle is established；
Moisture absorption restructuring procedure analogue unit, the moisture absorption of the black carbon monomer for establishing unit foundation according to moisture absorption model of growth
Model of growth and moisture absorption reconstruction model establish the moisture absorption reconstruction model of the black carbon clusters particle of unit foundation, utilize DLA pattern die
Intend the moisture absorption restructuring procedure of black carbon clusters particle.
Analogy method is reconstructed using the moisture absorption of the above-mentioned black carbon clusters particle based on fractal theory provided according to the present invention
And system, data are increased according to the moisture absorption of the black carbon aerosols particle of acquisition, are simulated using fractal theory and moisture absorption growth theory
The morphosis of black carbon clusters particle increases the black carbon clusters particle shape of data and simulation by the moisture absorption of black carbon aerosols particle
The moisture absorption reconstruction model of black carbon clusters particle is established in the matching of state structure, can relatively accurately simulating black carbon clusters particle be existed
Deformation process in humid air, for further accurately estimate black carbon clusters particle Radiative Forcing effect provide it is necessary before
It mentions.
To the accomplishment of the foregoing and related purposes, one or more aspects of the present invention include be particularly described below and
The feature particularly pointed out in claim.Certain illustrative aspects of the invention is described in detail in the following description and the annexed drawings.
However, these aspects indicate only usable some of the various ways in the principles of the present invention.In addition, of the invention
It is intended to include all such aspects and their equivalent.
Detailed description of the invention
By reference to the following description in conjunction with the accompanying drawings and the contents of the claims, and with to it is of the invention more comprehensively
Understand, other objects and results of the present invention will be more clearly understood and understood.In the accompanying drawings:
Fig. 1 is to reconstruct analogy method according to the moisture absorption of the black carbon clusters particle based on fractal theory of the embodiment of the present invention
Flow diagram；
Fig. 2 is the flow diagram according to the moisture absorption reconstruction model for establishing black carbon clusters particle of the embodiment of the present invention；
Fig. 3 is to reconstruct simulation system according to the moisture absorption of the black carbon clusters particle based on fractal theory of the embodiment of the present invention
Logical construction block diagram.
Identical label indicates similar or corresponding feature or function in all the appended drawings.
Specific embodiment
In the following description, for purposes of illustration, it in order to provide the comprehensive understanding to one or more embodiments, explains
Many details are stated.It may be evident, however, that these embodiments can also be realized without these specific details.
In other examples, one or more embodiments for ease of description, well known structure and equipment are shown in block form an.
Hereinafter, specific embodiments of the present invention will be described in detail with reference to the accompanying drawings.
Hygroscopicity series connection difference electromobility particle size analyzer can be used for studying the hygroscopicity of particulate matter, which can
The change of size of measurement as low as 1% can be used for studying the opposite effect of particulate matter chemical composition and particulate matter moisture absorption growth.This hair
The bright suction for being mainly based upon the existing black carbon aerosols particle obtained by hygroscopicity series connection difference electromobility particle size analyzer
Wet growth observation data pass through black carbon using the morphosis of fractal theory and moisture absorption growth theory simulating black carbon clusters particle
The moisture absorption of particulate increases the matching of the black carbon clusters particle shape structure of data and simulation, establishes black carbon clusters particle
Moisture absorption reconstruction model, being capable of relatively accurately deformation process of the simulating black carbon clusters particle in humid air.
Fig. 1 shows the moisture absorption reconstruct simulation side of the black carbon clusters particle according to an embodiment of the present invention based on fractal theory
The process of method.As shown in Figure 1, the moisture absorption of the black carbon clusters particle provided by the invention based on fractal theory reconstructs analogy method,
It specifically includes:
S1: observation data are increased according to the moisture absorption of black carbon aerosols particle, establish the black carbon in black carbon clusters particle respectively
The moisture absorption reconstruction model of the moisture absorption model of growth of monomer and black carbon clusters particle.
Wherein, it is difference electromobility partial size of being connected using hygroscopicity that the moisture absorption of black carbon aerosols particle, which increases observation data,
The particle diameter that analyzer measurement obtains with relative humidity variations data.In a specific embodiment, black carbon aerosols
The moisture absorption of particle increases the black carbon aerosols particle that observation data are (relative humidity 0%) different-diameter under the conditions of dry air
The corresponding relationship of moisture absorption growth factor HGF and relative humidity RH.
It should be noted that black carbon aerosols particle includes black carbon clusters particle, and black carbon clusters particle is by multiple black carbon
Monomer composition.
In addition, moisture absorption growth factor of the moisture absorption model of growth of black carbon monomer by the black carbon aerosols particle that diameter is 30nm
Fitting obtains, are as follows:
HGF=α (1-RH/100)-γ
Wherein, γ is model parameter, and α is modifying factor, and HGF is moisture absorption growth factor, and RH is relative humidity.
30nm is the average diameter of black carbon monomer in black carbon clusters particle, and it is grain that relative humidity is 0% that 30nm is corresponding
Sub- diameter, as relative humidity increases, particle diameter can change.
Fig. 2 shows the processes of the moisture absorption reconstruction model according to an embodiment of the present invention for establishing black carbon clusters particle.
As shown in Fig. 2, establishing the process of the moisture absorption reconstruction model of black carbon clusters particle, comprising:
S11: the black carbon clusters particle generated under the conditions of dry air according to DLA modeling.
Its detailed process, comprising:
S111: black carbon clusters particle all has certain fractal structure, and the Growth kinetics model of structure follows down
State the rule of formula:
In formula, the quantity for the spherical single-particle that N includes by black carbon clusters particle, kfFor preceding Xiang Yinzi, DfFor FRACTAL DIMENSION
Number, adropFor the radius of spherical single-particle, RgFor the average radius of gyration of black carbon clusters particle；
Wherein, riFor the mass centre of i-th of spherical single-particle, r0For the mass centre of black carbon clusters particle, also,
(relative humidity 0%), k under the conditions of dry airf=1.19, Df=1.82, adrop=15nm.
S112: often increasing a spherical single-particle newly, and the black carbon clusters particle of generation is all satisfied determining fractal dimension with before
It to the factor, i.e., walks from N-1 to N and walks, the mass centre of n-th spherical shape single-particle must satisfy following equation:
Wherein,For the mass centre of first N-1 spherical single-particle；
When there is new spherical single-particle to be attached on black carbon clusters particle, and guarantee spherical single-particle and black carbon clusters particle
Non-overlapping, and at least have a point tangent with black carbon clusters particle, then the spherical shape single-particle walk process terminates, i.e., attachment with it is black
On carbon clusters particle；
S113: step S112 is repeated, new spherical single-particle is adhered on the basis of original black carbon clusters particle；
S114: setting N carries out value with step interval in 3 to 100 sections for 1, is completed according to step S111 to S113
The simulation of the black carbon clusters particle of each corresponding preset quantity example (such as: 1000) of N value generates.
Wherein, 1000 are a specific example, and the present invention also can choose other quantity, such as 500,2000
Etc..
S12: data are increased according to the moisture absorption of analog result and black carbon aerosols particle in step S11, obtain dry air
Under the conditions of (relative humidity 0%) black carbon clusters particle in black carbon monomer number it is corresponding with black carbon clusters particle diameter close
System.
The detailed process of step S12, comprising:
S121: preset quantity is calculated separately for each N value according to the black carbon clusters particle for simulating generation in step S11
The diameter of (such as: 1000) the black carbon clusters particle of example, i.e., the maximal projection length of black carbon clusters particle；
S122: it is directed to each N value, calculates separately the average diameter of preset quantity example (such as: 1000) black carbon clusters particle；
S123: by the average diameter of preset quantity example calculated in step S122 (such as: 1000) black carbon clusters particle
It is matched with the diameter of preset quantity example calculated in step S121 (such as: 1000) black carbon clusters particle, obtains dry sky
The corresponding relationship of black carbon monomer number and black carbon clusters particle diameter in black carbon clusters particle under the conditions of gas.
In a specific example, black carbon monomer number 3,11,24 in the black carbon clusters particle under the conditions of acquisition dry air
With the corresponding relationship of 52 and black carbon clusters particle diameter 80nm, 155nm, 240nm and 260nm.But black carbon in black carbon clusters particle
Monomer number and the value of black carbon clusters particle diameter are not limited to above-mentioned example.
S13: according to black carbon monomer number in the moisture absorption model of growth of the black carbon monomer of foundation and black carbon clusters particle with
The corresponding relationship of black carbon clusters particle diameter, the black carbon clusters particle generated under the conditions of different humidity using DLA modeling,
And the diameter of the black carbon clusters particle of calculating simulation generation.
The detailed process of step S13, comprising:
S131: setting DfValue is carried out for 0.01 with step interval in 1.82 to 3.00 sections, RH is in 0% to 95% area
Between carry out unequal interval value, the corresponding black carbon monomer of different RH is obtained by the moisture absorption model of growth of the black carbon monomer in step S1
Diameter, then by DfWith black carbon monomer diameter as input parameter, the black carbon clusters particle of DLA modeling, the black carbon group are utilized
Cluster particle is generated under the conditions of different humidity；
It should be noted that RH is the necessary input parameter of black carbon monomer moisture absorption model of growth.DfIt is inhaled with by black carbon monomer
Black carbon monomer particle diameter is the necessary input parameter of DLA model after the moisture absorption that wet model of growth is calculated, the two are joined
After number input DLA model, so that it may utilize the black carbon clusters of DLA modeling.
S132: it is directed to every group of DfAnd RH, it is respectively completed the simulation of preset quantity example (such as: 1000) black carbon clusters particle,
And calculate the average diameter of preset quantity example (such as: 1000) the black carbon clusters particle.
S14: the black carbon clusters particle that generation is simulated in the moisture absorption growth data and step S13 of black carbon aerosols particle is straight
Diameter is matched, and the moisture absorption reconstruction model of black carbon clusters particle is established.
Wherein, the moisture absorption reconstruction model of the black carbon clusters particle of foundation are as follows:
Wherein, γ1And γ2For model parameter, α is modifying factor.
S2: mould is reconstructed according to the moisture absorption of the moisture absorption model of growth for the black carbon monomer established in step S1 and black carbon clusters particle
Type utilizes the moisture absorption restructuring procedure of the black carbon clusters particle of DLA modeling.
Corresponding with the moisture absorption of the above-mentioned black carbon clusters particle based on fractal theory reconstruct analogy method, the present invention provides one
The moisture absorption of black carbon clusters particle of the kind based on fractal theory reconstructs simulation system.Fig. 3 shows base according to an embodiment of the present invention
In the logical construction of the moisture absorption reconstruct simulation system of the black carbon clusters particle of fractal theory.
As shown in figure 3, the moisture absorption of the black carbon clusters particle provided in an embodiment of the present invention based on fractal theory reconstructs simulation
System includes: that moisture absorption model of growth establishes unit 310, moisture absorption reconstruction model establishes unit 320 and the simulation of moisture absorption restructuring procedure is single
Member 330.
Wherein, moisture absorption model of growth establishes unit 310 for increasing data according to the moisture absorption of black carbon aerosols particle, establishes
The moisture absorption model of growth of black carbon monomer in black carbon clusters particle.
Moisture absorption reconstruction model establishes unit 320 for increasing data according to the moisture absorption of black carbon aerosols particle, establishes black carbon
The moisture absorption reconstruction model of cluster particle；Wherein, moisture absorption reconstruction model establishes unit 320 and further comprises:
First simulation generation module 321, the black carbon clusters grain for being generated under the conditions of dry air according to DLA modeling
Son；
Corresponding relationship obtains module 322, the black carbon clusters particle for being generated according to the first simulation simulation of generation module 321
Increase data with the moisture absorption of black carbon aerosols particle, obtain in the black carbon clusters particle under the conditions of dry air black carbon monomer number with
The corresponding relationship of black carbon clusters particle diameter；
Second simulation generation module 323, the suction of the black carbon monomer for establishing the foundation of unit 310 according to moisture absorption reconstruction model
Wet model of growth and corresponding relationship obtain black carbon monomer number and black carbon clusters in the black carbon clusters particle that module 322 obtains
The corresponding relationship of particle diameter, the black carbon clusters particle generated under the conditions of different humidity using DLA modeling；
Particle diameter computing module 324, the black carbon clusters particle generated for calculating the second simulation simulation of generation module 323
Diameter；
Data match module 325, for the moisture absorption of black carbon aerosols particle to be increased data and particle diameter computing module
324 calculated black carbon clusters particle diameters are matched, and the moisture absorption reconstruction model of black carbon clusters particle is established.
Moisture absorption restructuring procedure analogue unit 330, for establishing the black carbon monomer of the foundation of unit 310 according to moisture absorption model of growth
Moisture absorption model of growth and moisture absorption reconstruction model establish unit 320 foundation black carbon clusters particle moisture absorption reconstruction model, utilize
The moisture absorption restructuring procedure of the black carbon clusters particle of DLA modeling.
Above content is described in detail by the suction of the black carbon clusters particle provided in an embodiment of the present invention based on fractal theory
Weight in wet base structure analogy method and system increase data according to the moisture absorption of the black carbon aerosols particle of acquisition, utilize fractal theory and suction
The morphosis of wet growth theory simulating black carbon clusters particle increases data and simulation by the moisture absorption of black carbon aerosols particle
The matching of black carbon clusters particle shape structure is established the moisture absorption reconstruction model of black carbon clusters particle, can relatively accurately be simulated
Deformation process of the black carbon clusters particle in humid air is the Radiative Forcing effect for further accurately estimating black carbon clusters particle
Necessary premise is provided.
The above description is merely a specific embodiment, but scope of protection of the present invention is not limited thereto, any
Those familiar with the art in the technical scope disclosed by the present invention, can easily think of the change or the replacement, and should all contain
Lid is within protection scope of the present invention.Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.
Claims (8)
1. a kind of moisture absorption of black carbon clusters particle based on fractal theory reconstructs analogy method, comprising:
S1: data are increased according to the moisture absorption of black carbon aerosols particle, establish the suction of the black carbon monomer in black carbon clusters particle respectively
The moisture absorption reconstruction model of wet model of growth and black carbon clusters particle；Wherein, the moisture absorption reconstruction model of black carbon clusters particle is established
Process include:
S11: the black carbon clusters particle generated under the conditions of dry air according to DLA modeling；
S12: data are increased according to the moisture absorption for the black carbon clusters particle and black carbon aerosols particle for simulating generation in step S11, are obtained
Take the corresponding relationship of black carbon monomer number and black carbon clusters particle diameter in the black carbon clusters particle under the conditions of dry air；
S13: according to black carbon monomer number in the moisture absorption model of growth of the black carbon monomer of foundation and black carbon clusters particle and black carbon
The corresponding relationship of cluster particle diameter, the black carbon clusters particle generated under the conditions of different humidity using the DLA modeling,
And the diameter of the black carbon clusters particle of calculating simulation generation；
S14: the moisture absorption of black carbon aerosols particle is increased simulated in data and step S13 the black carbon clusters particle diameter of generation into
Row matching, establishes the moisture absorption reconstruction model of black carbon clusters particle；
S2: according to the moisture absorption reconstruction model of the moisture absorption model of growth for the black carbon monomer established in step S1 and black carbon clusters particle,
Utilize the moisture absorption restructuring procedure of the black carbon clusters particle of the DLA modeling.
2. the moisture absorption of the black carbon clusters particle based on fractal theory reconstructs analogy method as described in claim 1, in step S1
In, the moisture absorption of the black carbon aerosols particle of acquisition increases data are as follows:
The corresponding relationship of the moisture absorption growth factor and relative humidity of the black carbon aerosols particle of different-diameter under the conditions of dry air, with
And
The moisture absorption model of growth of the black carbon monomer is fitted by the moisture absorption growth factor for the black carbon aerosols particle that diameter is 30nm
It obtains: HGF=α (1-RH/100)-γ；
Wherein, HGF is moisture absorption growth factor, and RH is relative humidity, and γ is model parameter, and α is modifying factor.
3. the moisture absorption of the black carbon clusters particle based on fractal theory reconstructs analogy method as claimed in claim 2, in step S11
In, further comprise:
S111: the create-rule of black carbon clusters particle are as follows:
Wherein, the quantity for the spherical single-particle that N includes by black carbon clusters particle, kfFor preceding Xiang Yinzi, DfFor fractal dimension,
adropFor the radius of spherical single-particle, RgFor the average radius of gyration of black carbon clusters particle, riFor the matter of i-th of spherical single-particle
Amount center, r0For the mass centre of black carbon clusters particle, also, under the conditions of dry air, kf=1.19, Df=1.82, adrop=
15nm；
S112: often increasing a spherical single-particle newly, and the black carbon clusters particle of generation meets following rule:
Wherein,For the mass centre of first N-1 spherical single-particle；
S113: repeating step S112, and new spherical single-particle is adhered on the basis of original black carbon clusters particle；
S114: default N carries out value with step interval in 3 to 100 sections for 1, completes each N according to step S111 to S113
The simulation for being worth the corresponding black carbon clusters particle of preset quantity example generates.
4. the moisture absorption of the black carbon clusters particle based on fractal theory reconstructs analogy method as claimed in claim 3, in step S12
In, further comprise:
S121: it is black to be calculated separately for each N value according to the black carbon clusters particle for simulating generation in step S11 for preset quantity example
The diameter of carbon clusters particle；
S122: it is directed to each N value, calculates separately the average diameter of the black carbon clusters particle of the preset quantity example；
S123: by the diameter progress of the black carbon clusters particle calculated in the average diameter calculated in step S122 and step S121
Match, the corresponding relationship of black carbon monomer number and black carbon clusters particle diameter in the black carbon clusters particle under the conditions of acquisition dry air.
5. the moisture absorption of the black carbon clusters particle based on fractal theory reconstructs analogy method as claimed in claim 3, in step S13
In, further comprise:
S131: default DfIn 1.82 to 3.00 sections with step interval be 0.01 carry out value, RH 0% to 95% section into
Row unequal interval value is straight according to the corresponding black carbon monomer of the different RH of the moisture absorption model of growth of the black carbon monomer in step S1 acquisition
Diameter, by DfWith black carbon monomer diameter as input parameter, the black carbon clusters particle of the DLA modeling is utilized；
S132: it is directed to every group of DfAnd RH, it is respectively completed the simulation of the black carbon clusters particle of preset quantity example, and calculate the present count
Measure the average diameter of the black carbon clusters particle of example.
6. the moisture absorption of the black carbon clusters particle based on fractal theory reconstructs analogy method as claimed in claim 3, in step S14
In, the moisture absorption reconstruction model of the black carbon clusters particle of foundation are as follows:
Wherein, γ1And γ2For model parameter, α is modifying factor.
7. the moisture absorption of the black carbon clusters particle based on fractal theory reconstructs analogy method as described in claim 1, in step S1
In, the moisture absorption of black carbon aerosols particle increases data are as follows:
The black carbon aerosols particle diameter measured using hygroscopicity series connection difference electromobility particle size analyzer is with relatively wet
Spend the data of variation.
8. a kind of moisture absorption of black carbon clusters particle based on fractal theory reconstructs simulation system, comprising:
Moisture absorption model of growth establishes unit, for increasing data according to the moisture absorption of black carbon aerosols particle, establishes black carbon clusters grain
The moisture absorption model of growth of black carbon monomer in son；
Moisture absorption reconstruction model establishes unit, for increasing data according to the moisture absorption of black carbon aerosols particle, establishes black carbon clusters grain
The moisture absorption reconstruction model of son；Wherein, the moisture absorption reconstruction model establishes unit, comprising:
First simulation generation module, the black carbon clusters particle for being generated under the conditions of dry air according to DLA modeling；
Corresponding relationship obtains module, the black carbon clusters particle and black carbon for being generated according to the first simulation generation module simulation
The moisture absorption of particulate increases data, black carbon monomer number and black carbon group in the black carbon clusters particle under the conditions of acquisition dry air
The corresponding relationship of cluster particle diameter；
Second simulation generation module increases for establishing the moisture absorption of black carbon monomer of unit foundation according to the moisture absorption reconstruction model
It is straight that model and the corresponding relationship obtain black carbon monomer number and black carbon clusters particle in the black carbon clusters particle that module obtains
The corresponding relationship of diameter, the black carbon clusters particle generated under the conditions of different humidity using the DLA modeling；
Particle diameter computing module simulates the straight of the black carbon clusters particle generated for calculating the second simulation generation module
Diameter；
Data match module, for the moisture absorption of black carbon aerosols particle to be increased data and particle diameter computing unit calculating
Black carbon clusters particle diameter out is matched, and the moisture absorption reconstruction model of black carbon clusters particle is established；
Moisture absorption restructuring procedure analogue unit, the moisture absorption of the black carbon monomer for establishing unit foundation according to the moisture absorption model of growth
Model of growth and the moisture absorption reconstruction model establish the moisture absorption reconstruction model of the black carbon clusters particle of unit foundation, using described
The moisture absorption restructuring procedure of black carbon clusters particle described in DLA modeling.
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| CN104268401A (en) * | 2014-09-25 | 2015-01-07 | 中国科学技术大学 | Method and device for simulating viscous fingering phenomenon |
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