CN109214045A - A kind of designing and manufacturing method of filter material for air purification - Google Patents
A kind of designing and manufacturing method of filter material for air purification Download PDFInfo
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- CN109214045A CN109214045A CN201810825033.8A CN201810825033A CN109214045A CN 109214045 A CN109214045 A CN 109214045A CN 201810825033 A CN201810825033 A CN 201810825033A CN 109214045 A CN109214045 A CN 109214045A
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- filtering
- air purification
- filter material
- filtering material
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
Abstract
The present invention provides a kind of designing and manufacturing methods of filter material for air purification.Include: step 1: goal filtering efficiency eta is determined for aerosol object to be clean according to design requirementTarget value, goal filtering resistance △ PTarget value, filtering velocity V0With the dynamic viscosity μ of air；Step 2: the relational expression between filter efficiency η and filtration resistance △ P and the filtering material structural parameters of filter material for air purification is established；Step 3: according to η >=ηTarget value, filtration resistance △ P≤△ P target value, solution fibre diameter d is calculatedf, filtering material filling rate α and filtering material thickness L；Step 4: filtering material manufacture craft is utilized, the production of filter material for air purification is completed.Based on strainability target value, simple and fast numerical solution is carried out by Inverse Problem Method, obtains the optimum structure parameter of filtering material, relative to traditional direct problem exhaustion, trial and error method, saved the time, improve the efficiency and accuracy of design.
Description
Technical field
The present invention relates to the air purification fields in Heating,Ventilating and Air Conditioning, more particularly to a kind of filter material for air purification
Designing and manufacturing method.
Background technique
Existing ventilation and air conditioning fresh air purifying filtering material, its important performance indexes are filter efficiency and filtration resistance.
And the performance indicator of filtering material depends primarily on the filtering velocity of filtering material and the structural parameters of own, such as the filter material of material
Expect thickness, porosity, fibre diameter etc..The designing and manufacturing method of filtering material generallys use direct problem method at present: according to existing
There are conventional filter material architectural characteristic and design experiences to choose the structural parameters of filtering material, makes filtering material, then use
Theoretical calculation or the method for verification experimental verification determine whether obtained performance parameter meets design requirement.But this side of designing and producing
Method has very big dependence to the experience of design, and has greatly uncertain, the structural parameters of the filtering material of selection
Not necessarily it is able to satisfy performance indicator requirement.
Summary of the invention
The present invention is directed to overcome at least one defect of existing filtering material design of Structural Parameters, a kind of new air is provided
The purification designing and manufacturing method of filtering material can carry out simple and fast numerical solution by Inverse Problem Method, be filtered
The optimum structure parameter of material saves the time, improves the effect of design relative to traditional direct problem exhaustion, trial and error method
Rate and accuracy.
For this purpose, the invention proposes a kind of designing and manufacturing methods of filter material for air purification, which is characterized in that packet
It includes:
Step 1: goal filtering efficiency eta is determined for aerosol object to be clean according to design requirementTarget value, target mistake
Filtration resistance power △ PTarget value, filtering velocity V0With the dynamic viscosity μ of air；The feature of the aerosol object to be clean includes particle diameter dp
With density of particle ρp；
Step 2: it establishes between filter efficiency η and filtration resistance △ P and the structural parameters of the filter material for air purification
Relational expression；The filtering material structural parameters include fibre diameter df, filtering material filling rate α and filtering material thickness L；
η=f1(dp,ρp,V0,μ,df,α,L)；Δ P=f2(V0,μ,df,α,L)；
Step 3: according to η >=ηTarget value, filtration resistance △ P≤△ P target value, solution the fibre diameter d is calculatedf、
The filtering material filling rate α and filtering material thickness L；
Step 4: according to the fibre diameter d being calculatedf, the filtering material filling rate α and the filtering material
Thickness L completes the production of the filter material for air purification using filtering material manufacture craft.
Further, in the step 3:
The Optimized model about the filter efficiency η and the filtration resistance △ P is established, and is used according to the air cleaning
The structure feature of filtering material establishes a series of constraint conditions, obtains mathematical model:
It solves the calculating mathematical model and obtains the fibre diameter df, the filtering material filling rate α and the filtering
Material thickness L.
Further, it is solved by linear weight sum method and calculates the mathematical model, to obtain the fibre diameter df, institute
State filtering material filling rate α and the filtering material thickness L.
Further, the process for calculating the mathematical model is solved by the linear weight sum method are as follows:
The Optimized model is changed intoAnd it is uniformly obtained into an objective function F (x):
F (x)=w1(-f1(x))+w2f2(x)；Wherein
w1For f1(x) weighted factor, andw2For f2(x) weighted factor, and
Further obtain:
Introduce slack variable vi, it obtains:
Construct Lagrangian:
Carry out solution calculating.
Further, further include step 5: making a service test to the filter material for air purification completed the production,
To determine whether test result meets design requirement.
Further, in the step 2, the filter material for air purification is fiber filter material, and
η=f1(dp,ρp,V0,μ,df,α,L)；Δ P=f2(V0,μ,df,α,L)
Specifically:
η′∑For the single fiber arresting efficiency under mutual fiber interference effect, and η 'Σ=ηΣ(1+4.5α)；
η∑For the total arresting efficiency of single fiber, and ηΣ=ηI,R+ηD,R；
ηI, RComprehensive arresting efficiency is intercepted for single fiber inertia, and
ηI,R=0.16 [R+ (0.25+0.4R) St-0.0263RSt2], in formula:
R is retention parameter, and R=dp/df；St is stokes number, andC is that the sliding of particle is corrected
Coefficient,A is the proportionality constant slided in correction factor,λ is molecule
Mean free path；ν is the kinematic viscosity of air；Re is Reynolds number, and
ηD, RArresting efficiency is integrated for single fiber diffusive interception, andIn formula:
Sh is summer temperature multiple criteria, andSc is Yi meter Tuo criterion, and Sc=V0/D；D is particle
Diffusion coefficient, and
In the designing and manufacturing method of filter material for air purification of the invention, it is based on strainability target value, by anti-
Problem method carries out simple and fast numerical solution, obtains the optimum structure parameter of filtering material, poor relative to traditional direct problem
It lifts, trial and error method, saves the time, improve the efficiency and accuracy of design, can quickly and easily obtain the sky met the requirements
Filtering material is used in gas purification.
According to the following detailed description of specific embodiments of the present invention in conjunction with the accompanying drawings, those skilled in the art will be brighter
The above and other objects, advantages and features of the present invention.
Detailed description of the invention
Some specific embodiments of the present invention is described in detail by way of example and not limitation with reference to the accompanying drawings hereinafter.
Identical appended drawing reference denotes same or similar part or part in attached drawing.It should be appreciated by those skilled in the art that these
What attached drawing was not necessarily drawn to scale.In attached drawing:
Fig. 1 is the flow chart of the designing and manufacturing method of filter material for air purification according to an embodiment of the invention.
Specific embodiment
Fig. 1 is the flow chart of the designing and manufacturing method of filter material for air purification according to an embodiment of the invention.Such as
Shown in Fig. 1, the embodiment of the invention provides a kind of designing and manufacturing methods of filter material for air purification.The air cleaning is used
The designing and manufacturing method of filter material material can comprise the following steps that
Step 1: goal filtering efficiency eta is determined for aerosol object to be clean according to design requirementTarget value, target mistake
Filtration resistance power △ PTarget value, filtering velocity V0With the dynamic viscosity μ of air；The feature of the aerosol object to be clean includes particle diameter dp
With density of particle ρp。
Step 2: the filtering material structure for establishing filter efficiency η and filtration resistance △ P and filter material for air purification is joined
Several relational expressions；Filtering material structural parameters include fibre diameter df, filtering material filling rate α and filtering material thickness L；
η=f1(dp,ρp,V0,μ,df,α,L)；Δ P=f2(V0,μ,df,α,L)。
Further, for example, relational expression can when filter material for air purification is fiber filter material specifically:
Wherein
η′∑For the single fiber arresting efficiency under mutual fiber interference effect, and η 'Σ=ηΣ(1+4.5α)；
η∑For the total arresting efficiency of single fiber, and ηΣ=ηI,R+ηD,R；
ηI, RComprehensive arresting efficiency is intercepted for single fiber inertia, and
ηI,R=0.16 [R+ (0.25+0.4R) St-0.0263RSt2], in formula:
R is retention parameter, and R=dp/df；St is stokes number, andC is that the sliding of particle is corrected
Coefficient,A is the proportionality constant slided in correction factor,λ is molecule
Mean free path；ν is the kinematic viscosity of air；Re is Reynolds number, and
ηD, RArresting efficiency is integrated for single fiber diffusive interception, andIn formula:
Sh is summer temperature multiple criteria, andSc is Yi meter Tuo criterion, and Sc=V0/D；D is particle
Diffusion coefficient, and
Step 3: according to η >=ηTarget value, filtration resistance △ P≤△ PTarget value, solve and fibre diameter d be calculatedf, filter material
Expect filling rate α and filtering material thickness L.
Step 4: according to the fibre diameter d being calculatedf, filtering material filling rate α and filtering material thickness L, utilized
Filter material material manufacture craft, completes the production of filter material for air purification.
The designing and manufacturing method of the filter material for air purification of the embodiment of the present invention is based on strainability target value, leads to
It crosses Inverse Problem Method and carries out simple and fast numerical solution, obtain the optimum structure parameter of filtering material, just asked relative to traditional
Topic exhaustion, trial and error method, save the time, improve the efficiency and accuracy of design, can quickly and easily be met the requirements
Filter material for air purification.
Further, in order to verify whether the filter material for air purification completed the production meets the requirements, the air cleaning
It may also include step 5 with the designing and manufacturing method of filtering material: performance carried out to the filter material for air purification completed the production
Test, to determine whether test result meets design requirement.By largely designing and verification experimental verification, the air designed and produced out
Purification is substantially all with filtering material meets target call.
In some preferred embodiments of the invention, in step 3:
The Optimized model about filter efficiency η and filtration resistance △ P is established, and according to the knot of filter material for air purification
Structure feature establishes a series of constraint conditions, obtains mathematical model:
It solves calculating mathematical model and obtains fibre diameter df, filtering material filling rate α and filtering material thickness L.
Preferably, it can be solved by linear weight sum method and calculate mathematical model, to obtain fibre diameter df, filtering material fills out
Fill rate α and filtering material thickness L.In some alternative embodiments of the invention, other methods can also be used and solve calculating number
Learn model.
Further, the process for calculating mathematical model is solved by linear weight sum method are as follows:
Optimized model is changed intoAnd it is uniformly obtained into an objective function F (x):
F (x)=w1(-f1(x))+w2f2(x)；Wherein
w1For f1(x) weighted factor, andw2For f2(x) weighted factor, and
Further obtain:
Introduce slack variable vi, it obtains:
Construct Lagrangian:
Solve and can be calculated optimal value, and then optimal filtering material structural parameters can be obtained.
So far, although those skilled in the art will appreciate that present invention has been shown and described in detail herein multiple shows
Example property embodiment still without departing from the spirit and scope of the present invention, still can according to the present disclosure directly
Determine or deduce out many other variations or modifications consistent with the principles of the invention.Therefore, the scope of the present invention is understood that and recognizes
It is set to and covers all such other variations or modifications.
Claims (6)
1. a kind of designing and manufacturing method of filter material for air purification characterized by comprising
Step 1: goal filtering efficiency eta is determined for aerosol object to be clean according to design requirementTarget value, goal filtering resistance
Power △ PTarget value, filtering velocity V0With the dynamic viscosity μ of air；The feature of the aerosol object to be clean includes particle diameter dpWith it is micro-
Granule density ρp；
Step 2: the filtering material structure for establishing filter efficiency η and filtration resistance △ P and the filter material for air purification is joined
Several relational expressions；The filtering material structural parameters include fibre diameter df, filtering material filling rate α and filtering material thickness
L；
η=f1(dp,ρp,V0,μ,df,α,L)；Δ P=f2(V0,μ,df,α,L)；
Step 3: according to η >=ηTarget value, filtration resistance △ P≤△ PTarget value, solve and the fibre diameter d be calculatedf, the filtering
The material filling rate α and filtering material thickness L；
Step 4: according to the fibre diameter d being calculatedf, the filtering material filling rate α and the filtering material thickness
L completes the production of the filter material for air purification using filtering material manufacture craft.
2. the designing and manufacturing method of filter material for air purification according to claim 1, which is characterized in that in the step
In rapid three:
The Optimized model about the filter efficiency η and the filtration resistance △ P is established, and is filtered according to the air cleaning
The structure feature of material establishes a series of constraint conditions, obtains mathematical model:
It solves the calculating mathematical model and obtains the fibre diameter df, the filtering material filling rate α and the filtering material it is thick
Spend L.
3. the designing and manufacturing method of filter material for air purification according to claim 2, which is characterized in that by linear
Weighted sum method, which solves, calculates the mathematical model, to obtain the fibre diameter df, the filtering material filling rate α and the mistake
Filter material thickness L.
4. the designing and manufacturing method of filter material for air purification according to claim 3, which is characterized in that by described
Linear weight sum method solves the process for calculating the mathematical model are as follows:
The Optimized model is changed intoAnd it is uniformly obtained into an objective function F (x):
F (x)=w1(-f1(x))+w2f2(x)；Wherein
w1For f1(x) weighted factor, andw2For f2(x) weighted factor, and
Further obtain:
Introduce slack variable vi, it obtains:
Construct Lagrangian:
Carry out solution calculating.
5. the designing and manufacturing method of filter material for air purification according to claim 1, which is characterized in that further include step
Rapid five:
It makes a service test to the filter material for air purification completed the production, to determine whether test result meets design
It is required that.
6. the designing and manufacturing method of filter material for air purification according to any one of claim 1 to 5, feature exist
In,
In the step 2, the filter material for air purification is fiber filter material, and
η=f1(dp,ρp,V0,μ,df,α,L)；Δ P=f2(V0,μ,df,α,L)
Specifically:
Wherein
η′∑For the single fiber arresting efficiency under mutual fiber interference effect, and η 'Σ=ηΣ(1+4.5α)；
η∑For the total arresting efficiency of single fiber, and ηΣ=ηI,R+ηD,R；
ηI, RComprehensive arresting efficiency is intercepted for single fiber inertia, and
ηI,R=0.16 [R+ (0.25+0.4R) St-0.0263RSt2], in formula:
R is retention parameter, and R=dp/df；St is stokes number, andC is the sliding correction factor of particle,A is the proportionality constant slided in correction factor,λ is being averaged certainly for molecule
By stroke；ν is the kinematic viscosity of air；Re is Reynolds number, and
ηD, RArresting efficiency is integrated for single fiber diffusive interception, andIn formula:
Sh is summer temperature multiple criteria, andSc is Yi meter Tuo criterion, and Sc=V0/D；D is the diffusion of particle
Coefficient, and
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| Application Number | Priority Date | Filing Date | Title |
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| CN201810825033.8A CN109214045B (en) | 2018-07-25 | 2018-07-25 | Design and manufacturing method of filtering material for air purification |
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| CN201810825033.8A CN109214045B (en) | 2018-07-25 | 2018-07-25 | Design and manufacturing method of filtering material for air purification |
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Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20030177909A1 (en) * | 2002-01-31 | 2003-09-25 | Koslow Evan E. | Nanofiber filter media |
| CN101795747A (en) * | 2007-09-08 | 2010-08-04 | 日本无机株式会社 | Filter medium for air filter and air filter |
| CN102240490A (en) * | 2011-07-13 | 2011-11-16 | 东华大学 | Folding air purification filter for heating and ventilating air conditioner |
-
2018
- 2018-07-25 CN CN201810825033.8A patent/CN109214045B/en active Active
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20030177909A1 (en) * | 2002-01-31 | 2003-09-25 | Koslow Evan E. | Nanofiber filter media |
| CN101795747A (en) * | 2007-09-08 | 2010-08-04 | 日本无机株式会社 | Filter medium for air filter and air filter |
| CN102240490A (en) * | 2011-07-13 | 2011-11-16 | 东华大学 | Folding air purification filter for heating and ventilating air conditioner |
Non-Patent Citations (1)
| Title |
|---|
| 杜丹丰等: "筒形木纤维发动机空气滤芯稳态过滤性能分析", 《重庆理工大学学报(自然科学)》 * |
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| CN109214045B (en) | 2022-11-29 |
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