CN108182333A - For the through-hole type carrier resistance coefficient computational methods of exhaust aftertreatment - Google Patents
For the through-hole type carrier resistance coefficient computational methods of exhaust aftertreatment Download PDFInfo
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- CN108182333A CN108182333A CN201810059080.6A CN201810059080A CN108182333A CN 108182333 A CN108182333 A CN 108182333A CN 201810059080 A CN201810059080 A CN 201810059080A CN 108182333 A CN108182333 A CN 108182333A
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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
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/06—Power analysis or power optimisation
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/08—Thermal analysis or thermal optimisation
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- Exhaust Gas After Treatment (AREA)
Abstract
The present invention provides a kind of through-hole type carrier resistance coefficient computational methods for exhaust aftertreatment, includes the following steps:It obtains corresponding back pressure test data under each temperature, flow condition and is denoted as Pti,qj, wherein i >=2, j >=2;According to the specification of through-hole type carrier, the actual circulation area s of gas in through-hole type carrier is obtained;According to back pressure test data corresponding under the conditions of each temperature, flow test, the gas density of through-hole type carrier is flowed through under the conditions of being calculated respectively by the equation of gas state, is denoted as ρti,qj;The dynamic viscosity under each temperature condition is calculated, is denoted as μti;Calculate the average gas flow velocity V of through-hole type carrier inside gas channel under the conditions of each temperature, flow testti,qj;Obtain through-hole type unit carrier length-tension penalty values dp under the conditions of each temperature, flow testti,qj/dx;Based on the corresponding resistance coefficient α of two groups of data every under the identical temperature condition of Forchheimer models calculating and β value;Solve final through-hole type carrier resistance coefficient.The error of this method is small.
Description
Technical field
The present invention relates to a kind of method for computing data, are carried in particular for the through-hole type of exhaust aftertreatment product calculation of backpressure
Body resistance coefficient computational methods.
Background technology
As national exhaust gases of internal combustion engines pollutant emission standard is more and more stringenter, only by the internal purification technology of internal combustion engine
Increasingly harsh discharge standard can not be met.In state five, six stage of state, according to different purification techniques routes, need to pacify
Fill a series of after-treatment device, this can increase back pressure to a certain extent, and back pressure to engine torque, power, oil consumption and
Pollutant component etc. has larger impact.
After-treatment device system back pressure evaluation at present is calculated based on simulation analysis and bench test, compared to bench test,
Simulation analysis calculating has many advantages, such as that cost-effective, the development cycle is short.Wherein CFD (computational fluid dynamics) simulation analysis calculates
It can consider influence of the factors such as product structure to clarifier, often deviation is smaller for the result of the evaluation method and bench test.Afterwards
The key of the simulation analysis evaluation of processing device system back pressure is to calculate the back pressure of purifier carrier accurately, removes DPF and GPF carriers at present
In addition, remaining purifier carrier is through-hole type carrier.
CFD analysis softwares on the market have very much, such as ANSYS Fluent, AVL FIRE and Star-CCM+, but due to
Major part is general CFD software, it is impossible to it is accurate the considerations of through-hole type carrier in true Flow Field Distribution, and existing through-hole type carries
Body drag evaluation depends on empirical parameter more, it is difficult to meet the analysis demand calculated tail-gas after treatment apparatus system back pressure.
Invention content
The purpose of the present invention overcomes the deficiencies in the prior art, provides a kind of through-hole type for exhaust aftertreatment and carries
Body resistance coefficient computational methods, the computational methods can accurately consider that through-hole type carrier flow field is distributed, the through-hole being calculated
Formula carrier resistance coefficient applies to AVL FIRE and calculates fluid analysis software, can accurately calculate the rear place of the carrier containing through-hole type
The system back pressure and Flow Field Distribution of device are managed, meets the needs of to motor vehicle reprocessing analysis.The technical solution adopted by the present invention
It is:
A kind of through-hole type carrier resistance coefficient computational methods for exhaust aftertreatment include the following steps:
Step S1 obtains i different temperature points, the through-hole type carrier back pressure under each temperature spot under j different quality flow,
Corresponding back pressure test data under each temperature, flow condition are denoted as Pti,qj, wherein i >=2, j >=2;
Step S2 according to the specification of through-hole type carrier, obtains the actual circulation area s of gas in through-hole type carrier;
Step S3 according to back pressure test data corresponding under the conditions of each temperature, flow test, is calculated by the equation of gas state
The gas density of through-hole type carrier is flowed through under the conditions of obtaining respectively, is denoted as ρti,qj;
Step S4 calculates the dynamic viscosity under each temperature condition, is denoted as μti;
Step S5 is calculated under the conditions of each temperature, flow test according to speed formula V=q/ (s ρ) in through-hole type carrier
The average gas flow velocity V of portion's gas channelti,qj;Q is mass flow, and s is the actual circulation area of through-hole type carrier inside gas,
ρ is the gas density for flowing through through-hole type carrier;
Step S6, corresponding back pressure test data divided by through-hole type carrier lengths under the conditions of each temperature, flow test, obtains
Through-hole type unit carrier length-tension penalty values dp under the conditions of each temperature, flow testti,qj/ dx, wherein x represent through-hole type carrier
Axial length;
Step S7, through-hole type carrier drag evaluation are based on Forchheimer models
Wherein α is viscosity factor, and β is inertial resistance coefficient;In the Forchheimer model equations, to each
Under the conditions of temperature, flow test, dpti,qj/ dx, μti, Vti,qjAnd ρti,qjIt is obtained in step S1~S6, therefore only α and β are
Amount to be asked;
Multigroup test data is splitted data into i classes according to the difference of test temperature point, j group data are included per class, it will be every
Wherein two groups of data in class carry out finding the inverse matrix two-by-two, and the corresponding resistance coefficient α of every two groups of data and β value is obtained;According to each α
With the difference of β value, valid data are screened;
Step S8, for the valid data in step S7, the dp that will be obtained under the conditions of each temperature, flow testti,qj/ dx,
μti, Vti,qjAnd ρti,qjInformation substitutes into Forchheimer models respectively, then can generate the indeterminate side of multiple linear equation in two unknowns
Journey group, the unknown quantity of equation group are
X '=(α, β) solves the least square solution of equation group, which is that the indeterminate equation group is optimal
Solution, the optimal solution are the final resistance coefficient α and β value being calculated.
Further, in step S1, through-hole type carrier is selected according to apparent size, mesh number, wall thickness, catalyst coated state
Specification;
In step S2, the apparent size of through-hole type carrier, mesh number, wall thickness, catalyst coated status information are input to one
It ties up in thermodynamic cycle software AVL BOOST, to obtain the actual circulation area s of gas in through-hole type carrier;
Further, in step S4, according to following two equation
μ·107=0.3875t+180.5-ABS ((t-200) 8.5/200), Pas, range t=0~400 DEG C
μ·107=0.2725t+220.5-ABS ((t-600) 2.5/200), Pas, range t=400~800 DEG C
The dynamic viscosity under each temperature condition is calculated, is denoted as μti;T is temperature, and μ is dynamic viscosity.
Further, in step S7, required obtained resistance coefficient α and β value are more than corresponding there are deviation in certain class data
The situation of predetermined threshold value then rejects the related data under the temperature condition.
The advantage of the invention is that:According to through-hole type carrier back pressure test data, resistance coefficient α and β value is calculated, it will
Acquired resistance coefficient substitutes into AVL FIRE and calculates fluid analysis software progress Simulation Analysis, and obtained through-hole type carries
The error of body simulation calculation backpressure results and test data can be controlled within 5%, can meet the needs of engineering application, this method
The through-hole type carrier resistance coefficient of acquisition causes the calculated value of back pressure and test data to have good consistency.Carrier technique at present
Also growing, this method can apply to various forms of through-hole type carriers, and that has evaded that use experience parameter brings can not
This problem of control error.
Description of the drawings
Fig. 1 is the flow chart of the present invention.
Specific embodiment
With reference to specific drawings and examples, the invention will be further described.
According to technical solution provided by the invention, for the through-hole type carrier resistance coefficient computational methods of exhaust aftertreatment,
The computational methods include the following steps:
Step S1, a certain apparent size needed for progress, mesh number, wall thickness, catalyst coated state specification (such as φ 101.6
× 152.4/300-6.5, the specification of catalyst coated amount 260g/L) through-hole type carrier back pressure testing experiment, the back pressure test
Experiment carries out on hot-fluid testing stand, and the through-hole type carrier backpressure data under different temperatures, flow should be as more as possible.Hypothesis test
Carried out under 5 temperature spots t1, t2, t3, t4, t5 (100 DEG C of temperature interval), each temperature spot measure 4 mass flow q1,
Through-hole type carrier back pressure under q2, q3, q4 (flow intervals 200kg/h), altogether 20 groups of back pressure test data, each temperature, flow
Under corresponding back pressure test data be denoted as Pti,qj, wherein i=1,2,3,4,5;J=1,2,3,4.
The apparent size of through-hole type carrier, mesh number, wall thickness, catalyst coated state specification information are input to by step S2
In one-dimensional thermodynamic cycle software AVL BOOST, gas in through-hole type carrier is obtained in the GEOMETRY information of summary
Actual circulation area s;
Step S3 according to back pressure test data corresponding under the conditions of each temperature, flow test, is calculated by the equation of gas state
The gas density of through-hole type carrier is flowed through under the conditions of obtaining respectively, is denoted as ρti,qj;
Step S4, according to following two equation
μ·107=0.3875t+180.5-ABS ((t-200) 8.5/200), Pas, range t=0~400 DEG C
μ·107=0.2725t+220.5-ABS ((t-600) 2.5/200), Pas, range t=400~800 DEG C
The dynamic viscosity under each temperature condition is calculated, is denoted as μti;Pas is unit, Pa Sec;T is temperature, and μ is
Power viscosity;
Step S5 is calculated under the conditions of each temperature, flow test according to speed formula V=q/ (s ρ) in through-hole type carrier
The average gas flow velocity V of portion's gas channelti,qj;Q is mass flow, and s is the actual circulation area of through-hole type carrier inside gas,
ρ is the gas density for flowing through through-hole type carrier;
Step S6, corresponding back pressure test data divided by through-hole type carrier lengths under the conditions of each temperature, flow test, can obtain
Through-hole type unit carrier length-tension penalty values dp under the conditions of to each temperature, flow testti,qj/ dx, wherein x represent that through-hole type carries
The axial length of body;
Step S7, through-hole type carrier drag evaluation are based on Forchheimer models
Wherein α is viscosity factor, and β is inertial resistance coefficient;In the Forchheimer model equations, to each
Under the conditions of temperature, flow test, dpti,qj/ dx, μti, Vti,qjAnd ρti,qjIt is obtained in step S1~S6, therefore only α and β are
Amount to be asked;
20 groups of test datas are splitted data into 5 classes according to the difference of test temperature point, 4 groups of data are included per class, it will be every
Wherein two groups of data in class carry out finding the inverse matrix two-by-two, and the corresponding resistance coefficient α of every two groups of data and β value is obtained;If certain class
Required obtained each group resistance coefficient α and β value difference are smaller in data, then it is believed that the data under the temperature condition are effective
Data;If required obtained resistance coefficient α and β value are there are certain deviation or deviation are larger in certain class data, the temperature should be rejected
Related data or all data under the conditions of degree.
It illustrates below explanation of the processing to one type data to the step, as 4 groups of data under temperature spot t1 are as follows
(by step S1~S6, the data in table are known):
Based on Forchheimer models, to 4 groups of data under t1, simultaneous solution, process are as follows two-by-two:
t1 | q1 | -μt1·Vt1,q1·α-ρt1,q1/2·Vt1,q1 2β=dpt1,q1/dx |
t1 | q2 | -μt1·Vt1,q2·α-ρt1,q2/2·Vt1,q2 2β=dpt1,q2/dx |
Table equation group on simultaneous can solve one group of α and β value, be denoted as αt1,q1,q2And βt1,q1,q2;
Similarly, the equation group of two groups of data of the other combinations of simultaneous, can solve αt1,q2,q3And βt1,q2,q3;
αt1,q3,q4And βt1,q3,q4;αt1,q1q3And βt1,q1,q3;αt1,q1,q4And βt1,q1,q4;αt1,q2,q4And βt1,q2,q4.It can be asked under temperature spot t1
Solve 6 groups of α and β value.If corresponding (α, β) difference is smaller in the 6 groups of data acquired, then it is believed that the data under temperature spot t1 are equal
For valid data;If corresponding (α, β) is there are certain deviation or deviation are larger in the 6 groups of data acquired, then the temperature should be rejected
Under the conditions of related data or all data.
Step S8, it is assumed that during step S7,20 groups of test datas are valid data, by each temperature, flow test
Under the conditions of the dp that obtainsti,qj/ dx, μti, Vti,qjAnd ρti,qjInformation substitutes into Forchheimer models respectively, then can generate 20 two
The indeterminate equation group of first linear function, the unknown quantity of equation group is x '=(α, β), using left except order in Matlab softwares
(x '=A/b) solves the least square solution of equation group, which is the indeterminate equation group optimal solution, this is optimal
Solution is the final resistance coefficient α and β value being calculated.Wherein:
Matrix
Matrix
Compared with the conventional method, advantage of the invention is that:
1st, the resistance coefficient currently used for through-hole type carrier calculation of backpressure is largely empirical parameter, but as through-hole type carries
The factors such as increasing, catalyst coated technique the improvement of body type, the back pressure simulation analysis dependent on empirical parameter calculate
It often will appear and there are relatively large deviation, through-hole type carrier resistance coefficient computational methods provided by the invention with test data
Based on through-hole type carrier back pressure test data, filled using the post processing of the carrier containing through-hole type that the resistance coefficient simulation calculation obtains
Putting system back pressure and test-bed data has preferable consistency.
2nd, computational methods of the invention are applicable in all through-hole type carriers.
3rd, the resistance coefficient calculated is not influenced by engine exhaust condition, and the through-hole type carrier of same specification is (logical
The apparent size of cellular type carrier, mesh number, wall thickness, catalyst coated state are identical) resistance coefficient be definite value.
4th, the resistance coefficient applies to the post-processing module that AVL FIRE calculate fluid analysis software, can accurately consider to lead to
True Flow Field Distribution in cellular type carrier.
Claims (4)
1. a kind of through-hole type carrier resistance coefficient computational methods for exhaust aftertreatment, which is characterized in that include the following steps:
Step S1 obtains i different temperature points, the through-hole type carrier back pressure under each temperature spot under j different quality flow, each temperature
Corresponding back pressure test data under degree, flow condition are denoted as Pti,qj, wherein i >=2, j >=2;
Step S2 according to the specification of through-hole type carrier, obtains the actual circulation area s of gas in through-hole type carrier;
Step S3 according to back pressure test data corresponding under the conditions of each temperature, flow test, is calculated by the equation of gas state
The gas density of through-hole type carrier is flowed through under the conditions of each, is denoted as ρti,qj;
Step S4 calculates the dynamic viscosity under each temperature condition, is denoted as μti;
Step S5 calculates through-hole type carrier inside gas under the conditions of each temperature, flow test according to speed formula V=q/ (s ρ)
The average gas flow velocity V of circulation roadti,qj;Q is mass flow, and s is the actual circulation area of through-hole type carrier inside gas, and ρ is
Flow through the gas density of through-hole type carrier;
Step S6, corresponding back pressure test data divided by through-hole type carrier lengths under the conditions of each temperature, flow test, obtains each temperature
Through-hole type unit carrier length-tension penalty values dp under the conditions of degree, flow testti,qj/ dx, wherein x represent the axis of through-hole type carrier
To length;
Step S7, through-hole type carrier drag evaluation are based on Forchheimer models
Wherein α is viscosity factor, and β is inertial resistance coefficient;In the Forchheimer model equations, to each temperature,
Under the conditions of flow test, dpti,qj/ dx, μti, Vti,qjAnd ρti,qjIt is obtained in step S1~S6, therefore only α and β is waits to ask
Amount;
Multigroup test data is splitted data into i classes according to the difference of test temperature point, includes j group data per class, it will be often in class
Wherein two groups of data carry out finding the inverse matrix two-by-two, the corresponding resistance coefficient α of every two groups of data and β value is obtained;According to each α and β
The difference of value screens valid data;
Step S8, for the valid data in step S7, the dp that will be obtained under the conditions of each temperature, flow testti,qj/ dx, μti,
Vti,qjAnd ρti,qjInformation substitutes into Forchheimer models respectively, then can generate the indeterminate equation of multiple linear equation in two unknowns
Group, the unknown quantity of equation group are
X '=(α, β) solves the least square solution of equation group, which is the indeterminate equation group optimal solution,
The optimal solution is the final resistance coefficient α and β value being calculated.
2. it to be used for the through-hole type carrier resistance coefficient computational methods of exhaust aftertreatment as described in claim 1, which is characterized in that
In step S1, through-hole type carrier selectes specification according to apparent size, mesh number, wall thickness, catalyst coated state;
In step S2, the apparent size of through-hole type carrier, mesh number, wall thickness, catalyst coated status information are input to one-dimensional heat
In mechanics cycle software, to obtain the actual circulation area s of gas in through-hole type carrier.
3. it to be used for the through-hole type carrier resistance coefficient computational methods of exhaust aftertreatment as described in claim 1, which is characterized in that
In step S4, according to following two equation
μ·107=0.3875t+180.5-ABS ((t-200) 8.5/200), Pas, range t=0~400 DEG C
μ·107=0.2725t+220.5-ABS ((t-600) 2.5/200), Pas, range t=400~800 DEG C
The dynamic viscosity under each temperature condition is calculated, is denoted as μti;T is temperature, and μ is dynamic viscosity.
4. it to be used for the through-hole type carrier resistance coefficient computational methods of exhaust aftertreatment as described in claim 1, which is characterized in that
In step S7, there are the feelings that deviation is more than corresponding predetermined threshold value for required obtained resistance coefficient α and β value in certain class data
Condition then rejects the related data under the temperature condition.
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Cited By (1)
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