CN108333213A - Translucent porous material high temperature conduction and radiative property multi-parameter method for synchronously measuring - Google Patents
Translucent porous material high temperature conduction and radiative property multi-parameter method for synchronously measuring Download PDFInfo
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N25/00—Investigating or analyzing materials by the use of thermal means
- G01N25/18—Investigating or analyzing materials by the use of thermal means by investigating thermal conductivity
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01J—MEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
- G01J5/00—Radiation pyrometry, e.g. infrared or optical thermometry
- G01J5/10—Radiation pyrometry, e.g. infrared or optical thermometry using electric radiation detectors
- G01J5/12—Radiation pyrometry, e.g. infrared or optical thermometry using electric radiation detectors using thermoelectric elements, e.g. thermocouples
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01J—MEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
- G01J5/00—Radiation pyrometry, e.g. infrared or optical thermometry
- G01J5/10—Radiation pyrometry, e.g. infrared or optical thermometry using electric radiation detectors
- G01J5/12—Radiation pyrometry, e.g. infrared or optical thermometry using electric radiation detectors using thermoelectric elements, e.g. thermocouples
- G01J2005/126—Thermoelectric black plate and thermocouple
Abstract
The present invention provides a kind of multi-parameter method for synchronously measuring of the conduction of translucent porous material high temperature and radiative property based on transient temperature measuring, to solve the problems such as existing translucent porous material hyperthermia radiation and conduction thermal property testing efficiency are low, resultant error is big, this method is：Measure the temperature measuring data that double of transparent porous material different location changes over time；Build λtwo‑phase(T)、β(T)、ω(T)、g(T)；The radiation intensity field of different moments and temperature field intensity in computational domain are obtained, to obtain the temperature calculations T that sample different location changes over timec；Obtain object function Ψ；Judge otherwise whether object function less than given threshold ε returns to the thermal property parameter for correcting prediction again if so, using the conduction of the sample to be tested assumed in the process varied with temperature and radiative property parameter as measurement result.Simple testing process of the present invention, it is quick, efficiently, precision it is high.
Description
Technical field
The present invention relates to material at high temperature conduction and radiative property measuring techniques.
Background technology
The translucent porous material of high temperature has the significant advantages such as the low, high temperature resistant of light weight and cost, is widely used in spacecraft
The related industrial fields such as thermal protection, solar power generation, building, chemical industry.This kind of material generally comprise Fibrous insulation, metal or
Ceramic foam, aeroge and its composite material etc., reliable high temperature conduction and radiative property are not only during high-temperature service
Carry out what Important Parameters and material characterization needed for the fine heat analysis of material and optimization design were developed with evaluation and new material
Important evidence.
Translucent porous material high temperature conduction and radiation coupled and heat-exchange process are described comprehensively, generally comprise gas/solid Coupling Thermal
Multiple thermal parameters such as conductance, extinction coefficient, scattering albedo and phase function, and these parameters all with the close phase of environment temperature
It closes.It is the basic means for obtaining translucent porous material high temperature heat transfer and radiating physical data that experiment, which measures, and for radiation
The main stream approach that property is tested is based on orientation or hemispherical transmissivity and reflectance test data and equation of radiative transfer
Result of calculation carries out least square fitting and obtains corresponding radiation parameter, but the test method sample preparation difficulty is big, test is complicated,
Experimental facilities requires height, and it is big and general that wide-angle deviates the radiation parameter error that incident direction experimental data noise ambassador measures
The radiative property parameter that lower temperature can only be provided, can not provide hyperthermia radiation property, and this high temperature spoke varied with temperature
Penetrate property be only carry out such material heat analysis when there is an urgent need to.In many engineer applications, translucent porous material
High temperature conducts and radiative property is all critically important, however current characterizing method can not also be obtained and be carried out to such material coupling process
The corresponding high temperature conduction described entirely and radiant heat property data.
Invention content
The present invention measures difficult, test to solve existing translucent porous material hyperthermia radiation and conduction thermal property experiment
The problems such as efficiency is low, resultant error is big provides a kind of translucent porous material high temperature biography based on transient temperature response message
It leads and the multi-parameter method for synchronously measuring of radiative property.
The conduction of translucent porous material high temperature and radiative property provided by the invention based on transient temperature response message
The technical solution of multi-parameter method for synchronously measuring is：
Step 1：Take the translucent porous material that thickness is L as sample, as shown in Figure 1, in sample perpendicular to thickness L
Known emissivity ε is set on the upper surface in direction1High-temperature metal plate, the known emissivity ε of setting on lower surface2Low-temperature metal
Plate the elevated temperature transient heat source changed over time is arranged in high-temperature metal plate side, in high-temperature metal plate, sample and low-temperature metal plate
The certain thickness heat insulation felt of surrounding and sole arrangement of component, it is ensured that sample one dimensional heat transfer；Start the elevated temperature transient heat source, so
Double of transparent porous material sample upper surface, intermediate several positions and lower surface during the elevated temperature transient heat source heats afterwards
The temperature-responsive of N number of position measures altogether, obtains the temperature measuring data T that different location changes over timem；
Step 2：Set the gas/solid coupling thermal conductivity λ under sample to be tested temperature Ttwo-phase,T, extinction coefficient βT, scattering is instead
According to rate ωTAnd the anisotropy factor g of phase functionT, the correspondence thermal property parameter value line taking at two adjacent temperature of each parameter
Sexual intercourse constitutes λtwo-phase(T), β (T), ω (T), g (T) indicate the temperature dependence of conduction and radiative property parameter；
Step 3：Using step 2 setting the conduction varied with temperature and radiative property parameter as input, solve absorption,
Emit, the equation of radiative transfer and Heat Conduction Differential Equations of anisotropic scattering medium, obtains the radiation of different moments in computational domain
Intensity field and temperature field, to obtain the temperature calculations T that sample different location changes over timec(Tc is calculated by model
Obtained temperature value)；
Step 4：It is corresponding in the temperature measuring data and step 3 that are changed over time using the different location in step 1
Temperature calculations, in conjunction with least square method formula：
Wherein, M is the temperature data number in single position measuring section, and i is the serial number for measuring position, and j is single
The serial number of temperature data in the measuring section of position, X are unknown parameter vector, that is, each conduction varied with temperature and radiativity
Matter parameter obtains the object function Ψ in least square inverse problem algorithm；TmijIndicate i-th of position within the period at j-th
The temperature measuring data at quarter, Tcij(X) temperature calculations at i-th of position, j-th of moment within the period are indicated.
Step 5：Whether the object function in judgment step four is less than given threshold ε, and (threshold value generally takes 10-5), if so,
The conduction and radiative property parameter that the sample to be tested assumed in step 2 is varied with temperature are walked as output as a result, otherwise returning
Rapid two correct the thermal property parameter of (modification method is that the L-M algorithms used are corrected automatically) prediction again.
The method for solving of the inverse problem is that Levenberg-Marquardt nonlinear optimizations are theoretical.
Further, the method in different moments temperature field is in acquisition computational domain in the step 3：
The conduction of consideration material internal and radiant heat transfer mechanism, the energy conservation equation for obtaining one-dimensional tabular sample are：
Initially and boundary condition is：
T (x, 0)=T0,
T (0, t)=Thot(t),
T (L, t)=Tcold(t),
In formula, ρ is sample density, and C is sample specific heat, and t is the time, and x is the coordinate in sample thickness direction, qcFor conduction heat
Current density, qrFor radiant heat flux density, T0For sample initial temperature, ThotFor the hot-face temperature of sample, TcoldFor the huyashi-chuuka (cold chinese-style noodles) of sample
Temperature.
Further, the method for different moments radiation intensity field is in acquisition computational domain in the step 4：
To absorption, transmitting, anisotropic scattering grey body medium, the equation of radiative transfer that radiative property varies with temperature is：
Wherein, x is the coordinate in sample thickness direction, IbFor blackbody radiation intensity of the sample at the x of position, I is that sample exists
Radiation intensity at the x of position, sample through-thickness are x to μ is the cosine of x-axis and radiation propagation angular separation, and μ ' is another
Direction pole cosine of an angle is scattered,For Scattering Phase Function；
Sample upper and lower surface is grey body transmitting, diffusing reflection radiation boundary, and the boundary condition of sample to be tested is：
Further, radiant heat flux density q used in different moments temperature field in computational domain is calculatedrComputational methods
For：
Further, conduction heat flow density q used in different moments temperature field in computational domain is calculatedcComputational methods
For：
Further, the temperature of double of transparent porous material sample upper surface, intermediate several positions and lower surface is rung
The method that should be measured is that thermocouple is arranged in sample upper surface, intermediate several positions and lower surface.
Further, the hot face of the sample is the one side that temperature is high in sample upper and lower surface, and the huyashi-chuuka (cold chinese-style noodles) of sample is sample
The low one side of temperature in upper and lower surface.
The above method sets each conduction first and radiative property parameter varies with temperature model, establish absorb, transmitting, respectively to
The high temperature Coupling Thermal Analysis model and method for solving of anisotropic scattering medium radiation and conduction, at any time by sample to be tested different location
Between the temperature test data that change, using nonlinear least-square Optimization Theory Model at each temperature conduction and radiation it is hot
Matter is reconstructed.
Advantageous effect
The present invention is absorbed by foundation, is emitted, the translucent porous material high temperature conduction of anisotropic scattering-radiation coupling is changed
Thermal model, it is non-linear excellent using Levenberg-Marquardt based on theoretical heat analysis result and transient thermal response measurement result
Change method, it is proposed that the coupling thermal property that translucent porous material series varies with temperature：Gas/solid coupling thermal conductivity, delustring system
The multi-parameter method for synchronously measuring of number, scattering albedo and the contour warm property of phase function.
The measurement method of translucent porous material high temperature coupling thermal property provided by the present invention overcomes previous test side
Method conducts such material at high temperature and radiative property measures difficult and the incomplete problem of test parameter, outstanding advantage and is to test
Process is easy, quick, efficient, precision is high, and low to the requirement of the accuracy of measuring apparatus, has good practical application potentiality,
The numerous areas such as aerospace, military and national defense, derived energy chemical, atmospheric science and building can be applied to.
Description of the drawings
Fig. 1 is translucent porous material transient temperature test method testing principle schematic；1 heat source, 2 high-temperature metals
Plate, 3 samples, 4 low-temperature metal plates, 5 protection felts, 6 thermocouples；
The hot-face temperature curve that Fig. 2 is changed over time；
The translucent porous material high temperature conduction of Fig. 3 and radiative property multi-parameter method for synchronously measuring flow chart.
Specific implementation mode
Embodiment 1
The conduction of translucent porous material high temperature and radiative property provided by the invention based on transient temperature response message
The technical solution of multi-parameter method for synchronously measuring is：
Step 1：Take the translucent porous material that thickness is L as sample, in sample perpendicular to the upper table in the directions thickness L
Known emissivity ε is set on face1High-temperature metal plate, the known emissivity ε of setting on lower surface2Low-temperature metal plate, high temperature gold
Belong to plate side and the elevated temperature transient heat source changed over time is set, in the surrounding of high-temperature metal plate, sample and low-temperature metal board group part
And the certain thickness heat insulation felt of sole arrangement, it is ensured that sample one dimensional heat transfer；Start the elevated temperature transient heat source, then in the high temperature
Double of transparent porous material sample upper surface, intermediate several positions and the lower surface positions GongNGe during transient state heat source heats
Temperature-responsive measure, obtain the temperature measuring data T that changes over time of different locationm；
Step 2：Set the gas/solid coupling thermal conductivity λ under sample to be tested temperature Ttwo-phase,T, extinction coefficient βT, scattering is instead
According to rate ωTAnd the anisotropy factor g of phase functionT, the correspondence thermal property parameter value line taking at two adjacent temperature of each parameter
Sexual intercourse constitutes λtwo-phase(T), β (T), ω (T), g (T) indicate the temperature dependence of conduction and radiative property parameter；
Step 3：Using the conduction of step 2 setting varied with temperature and radiative property parameter as input, solution is directed to
It absorbs, emit, the equation of radiative transfer and Heat Conduction Differential Equations of anisotropic scattering medium, obtaining different moments in computational domain
Radiation intensity field and temperature field, to obtain the temperature calculations T that sample different location changes over timec；
Step 4：It is corresponding in the temperature measuring data and step 3 that are changed over time using the different location in step 1
Temperature calculations, in conjunction with least square method formula：
Wherein, M is the temperature data number in single position measuring section, and i is the serial number for measuring position, and j is single
The serial number of temperature data in the measuring section of position, X are unknown parameter vector, that is, each conduction varied with temperature and radiativity
Matter parameter obtains the object function Ψ in least square inverse problem algorithm；TmijIndicate i-th of position within the period at j-th
The temperature measuring data at quarter, Tcij(X) temperature calculations at i-th of position, j-th of moment within the period are indicated.
Step 5：Whether the object function in judgment step four is less than given threshold ε, if so, by assuming in step 2
The conduction that varies with temperature of sample to be tested and radiative property parameter as output as a result, otherwise return to step two is corrected in advance again
The thermal property parameter of survey.
Embodiment 2
On the basis of embodiment 1, the method that different moments temperature field in computational domain is obtained in the step 3 is：
The one-dimensional energy conservation equation of tabular sample is：
Initially and boundary condition is：
T (x, 0)=T0,
T (0, t)=Thot(t),
T (L, t)=Tcold(t),
In formula, ρ is sample density, and C is sample specific heat, and t is the time, and x is the coordinate in sample thickness direction, qcFor conduction heat
Current density, qrFor radiant heat flux density, T0For sample initial temperature, ThotFor the hot-face temperature of sample, TcoldFor the huyashi-chuuka (cold chinese-style noodles) of sample
Temperature.
Embodiment 3
On the basis of embodiment 1, the method that different moments radiation intensity field in computational domain is obtained in the step 4 is：
To absorption, transmitting, anisotropic scattering grey body medium, the equation of radiative transfer that radiative property varies with temperature is：
Wherein, x is the coordinate in sample thickness direction, IbFor blackbody radiation intensity of the sample at the x of position, I is that sample exists
Radiation intensity at the x of position, sample through-thickness are x to μ is the cosine of x-axis and radiation propagation angular separation, and μ ' is another
Direction pole cosine of an angle is scattered,For Scattering Phase Function；
Sample upper and lower surface is grey body transmitting, diffusing reflection radiation boundary, and the boundary condition of sample to be tested is：
Embodiment 4
On the basis of embodiment 2, radiant heat flux density q used in different moments temperature field in computational domain is calculatedr
Computational methods be：
Embodiment 5
On the basis of embodiment 2, conduction heat flow density q used in different moments temperature field in computational domain is calculatedc
Computational methods be：
Embodiment 6
On the basis of embodiment 1, double of transparent porous material sample upper surface, intermediate several positions and lower surface
The method that measures of temperature-responsive be that thermocouple is set in sample upper surface, intermediate several positions and lower surface.
Embodiment 7
On the basis of embodiment 2, the hot face of the sample is the one side that temperature is high in sample upper and lower surface, sample it is cold
Face is the one side that temperature is low in sample upper and lower surface.
What the measurement method use of translucent porous material high temperature coupling thermal property provided by the present invention simply easily measured
Set temperature response message carrys out high temperature conduction and the radiative property of reversal measuring material, overcomes previous test method to such material
Expect that high temperature conduction and radiative property measurement are difficult, error is big and the incomplete problem of test parameter, outstanding advantage are globality
Matter multi-parameter group simple testing process, quick, efficient, precision is high, and low to the requirement of the accuracy of measuring apparatus, has good
It is many can be applied to aerospace, military and national defense, derived energy chemical, atmospheric science and building etc. for practical application potentiality
Field.
Those skilled in the art make any simple modification, equivalent variations or modification using the technology contents of the disclosure above,
It all falls in protection scope of the present invention.
Claims (7)
1. translucent porous material high temperature conduction and radiative property multi-parameter method for synchronously measuring, it is characterised in that：Including following
Step：
Step 1：Take the translucent porous material that thickness is L as sample, in sample on the upper surface in the directions thickness L
The known emissivity ε of setting1High-temperature metal plate, the known emissivity ε of setting on lower surface2Low-temperature metal plate, in high-temperature metal plate
The elevated temperature transient heat source changed over time is arranged in side, at high-temperature metal plate, the surrounding of sample and low-temperature metal board group part and bottom
Certain thickness heat insulation felt is arranged in face, it is ensured that sample one dimensional heat transfer；Start the elevated temperature transient heat source, then in the elevated temperature transient
The temperature of double of transparent porous material sample upper surface, intermediate several positions and the lower surface positions GongNGe during heat source heats
Degree response measures, and obtains the temperature measuring data T that different location changes over timem；
Step 2：Set the gas/solid coupling thermal conductivity λ under sample to be tested temperature Ttwo-phase,T, extinction coefficient βT, scattering albedo
ωTAnd the anisotropy factor g of phase functionT, the correspondence thermal property parameter value line taking at two adjacent temperature of each parameter closes
System constitutes λtwo-phase(T), β (T), ω (T), g (T) indicate the temperature dependence of conduction and radiative property parameter；
Step 3：Using step 2 setting the conduction varied with temperature and radiative property parameter as input, solve for absorption,
Emit, the equation of radiative transfer and Heat Conduction Differential Equations of anisotropic scattering medium, obtains the radiation of different moments in computational domain
Intensity field and temperature field, to obtain the temperature calculations T that sample different location changes over timec；
Step 4：Corresponding temperature in the temperature measuring data and step 3 that are changed over time using the different location in step 1
Calculated value is spent, in conjunction with least square method formula：
Wherein, M is the temperature data number in single position measuring section, and i is the serial number for measuring position, and j is single position
The serial number of temperature data in measuring section, X are unknown parameter vector, that is, each conduction varied with temperature and radiative property ginseng
Number obtains the object function Ψ in least square inverse problem algorithm；TmijI-th of position is indicated within the period j-th moment
Temperature measuring data, Tcij(X) temperature calculations at i-th of position, j-th of moment within the period are indicated.
Step 5：Whether the object function in judgment step four is less than given threshold ε, if so, being waited for what is assumed in step 2
Conduction that sample varies with temperature and radiative property parameter are as output as a result, otherwise return to step two is corrected and predicted again
Thermal property parameter.
2. method according to claim 1, it is characterised in that：Different moments temperature field in computational domain is obtained in the step 3
Method be：
The one-dimensional energy conservation equation of tabular sample is：
Initially and boundary condition is：
T (x, 0)=T0,
T (0, t)=Thot(t),
T (L, t)=Tcold(t),
In formula, ρ is sample density, and C is sample specific heat, and t is the time, and x is the coordinate in sample thickness direction, qcIt is close for conduction hot-fluid
Degree, qrFor radiant heat flux density, T0For sample initial temperature, ThotFor the hot-face temperature of sample, TcoldFor the coldface temperature of sample.
3. method according to claim 1, it is characterised in that：It is strong that different moments radiation in computational domain is obtained in the step 4
Degree field method be：
To absorption, transmitting, anisotropic scattering grey body medium, the equation of radiative transfer that radiative property varies with temperature is：
Wherein, x is the coordinate in sample thickness direction, IbFor blackbody radiation intensity of the sample at the x of position, I is sample in position x
The radiation intensity at place, sample through-thickness are x to μ is the cosine of x-axis and radiation propagation angular separation, and μ ' is another scattering
Direction pole cosine of an angle,For Scattering Phase Function；
Sample upper and lower surface is grey body transmitting, diffusing reflection radiation boundary, and the boundary condition of sample to be tested is：
4. method according to claim 2, it is characterised in that：Calculate spoke used in different moments temperature field in computational domain
Penetrate heat flow density qrComputational methods be：
5. method according to claim 2, it is characterised in that：Calculate biography used in different moments temperature field in computational domain
Heat conduction current density qcComputational methods be：
6. method according to claim 1, it is characterised in that：If double of transparent porous material sample upper surface, centre
The method that the temperature-responsive of dry position and lower surface measures is to be arranged in sample upper surface, intermediate several positions and lower surface
Thermocouple.
7. method according to claim 2, it is characterised in that：The hot face of the sample is that temperature is high in sample upper and lower surface
On one side, the huyashi-chuuka (cold chinese-style noodles) of sample is the one side that temperature is low in sample upper and lower surface.
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