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 PDF

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Publication number
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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hole type
type carrier
under
temperature
resistance coefficient
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Inventor
付细平
陈增响
马相雪
何伟娇
盛杰
何龙
张俊超
郭鑫
宫婷婷
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Wuxi Weifu Lida Catalytic Converter Co Ltd
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Wuxi Weifu Lida Catalytic Converter Co Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/06Power analysis or power optimisation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/08Thermal analysis or thermal optimisation

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • Geometry (AREA)
  • General Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • 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

For the through-hole type carrier resistance coefficient computational methods of exhaust aftertreatment
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 t1·Vt1,q1·α-ρt1,q1/2·Vt1,q1 2β=dpt1,q1/dx
t1 q2 t1·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.
CN201810059080.6A 2018-01-22 2018-01-22 For the through-hole type carrier resistance coefficient computational methods of exhaust aftertreatment Pending CN108182333A (en)

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