CN105675646B - High temperature translucent medium thermal conductivity and the method for absorption coefficient are measured based on intrinsic light and heat information at the same time - Google Patents
High temperature translucent medium thermal conductivity and the method for absorption coefficient are measured based on intrinsic light and heat information at the same time Download PDFInfo
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Abstract
It is a kind of that high temperature translucent medium thermal conductivity and the method for absorption coefficient are measured based on intrinsic light and heat information at the same time, belong to translucent medium physical measurement technical field.Solve that existing measuring method is larger there are resultant error, and the problem of the inverting for temperature associated hot physical property needs more metrical informations.Translucent medium is heated to a certain high temperature using heater in measurement process, by the intrinsic temperature response of detector measurement sample to be tested and direction radiation intensity, thermal conductivity and the band absorption coefficient that sample to be tested varies with temperature are obtained indirectly finally by reverse temperature intensity technology.Translucent medium heat conduction by establishing the thermal conductivity varied with temperature and band absorption coefficient radiates the forward and inverse problem model of coupled and heat-exchange, under the premise of known to medium other specification, the method using Particle Swarm Optimization Simultaneous Inversion high temperature translucent medium temperature correlation thermal conductivity and band absorption coefficient is proposed, improves the precision for translucent medium thermophysical property measurement.
Description
Technical field
The present invention relates to high temperature translucent medium temperature correlation thermal conductivity and the method for band absorption coefficient is obtained at the same time, belong to
In translucent medium physical measurement technical field.
Background technology
It is that translucent medium is carried out in its application process that high temperature translucent medium, which radiates physical property and thermal physical property parameter,
Important parameter needed for analysis, Design and optimization.In recent years, with the infrared spy of aerospace, infrared acquisition, target and environment
The rapid development of the modern high technology such as property, laser, electronic device, biomedicine, translucent medium is high temperature, the multidimensional situations such as
Under vary with temperature it is particularly important that physical parameter becomes.Carry out the research pair of participating medium heat radiation physical property and related discipline
Significance is respectively provided with dual-use field.
The research of phase-change heat-storage material has great importance for thermal energy storage.Wherein for its thermal conductivity and absorb system
Several researchs are particularly important.Deeply understand this thermal physical property parameter and experiment measurement and theory analysis are carried out to it in material supply section
The field such as and solar energy thermal-power-generating also has important application value.And under normal conditions, absorption coefficient is and spectrum
It is relevant, and thermal conductivity can change with material temperature.Therefore, for the thermal conductivity that varies with temperature and band absorption coefficient
Measurement will be of great significance in actual application.
Due in actual measurement process, experimental facilities there are certain measurement error, be used alone in some cases light or
The resultant error that person's thermal information cannot complete measurement or the acquisition of radiant heat physical property is larger, and for temperature associated hot physical property
Inverting need more metrical informations.
The content of the invention
It is a primary object of the present invention to provide one kind to measure high temperature translucent medium temperature at the same time based on intrinsic light and heat information
The method of Thermal Conductivity Varying With Temperature and band absorption coefficient, it is larger there are resultant error to solve existing measuring method, and for temperature
The inverting of associated hot physical property needs the problem of more metrical informations.
The present invention adopts the technical scheme that to solve above-mentioned technical problem：
The translucent medium that will be measured first is heated to temperature T0, it is then different using detector measurement sample upper surface
The radiation intensity in direction.And use the Temperature Distribution of diverse location in thermocouple measurement medium.Asked using measured result as inverse
The primary condition of topic, then obtains high temperature translucent medium temperature correlation thermal conductivity and bands of a spectrum at the same time using Particle Swarm Optimization
The method of absorption coefficient.
A kind of while method that measures high temperature translucent medium temperature Thermal Conductivity Varying With Temperature and band absorption coefficient of the present invention, specifically
Step is：
Step 1, a certain fixed temperature T is heated to by sample to be tested0；
Step 2, stop heating, using detector its different directions of the upper table planar survey of sample to be tested radiation intensity q
(θj), and use the temperature T inside thermocouple measurement sample to be testedi, wherein, θjRespectively different radiation direction and thermocouple with i
Residing diverse location；As shown in Figure 1.
Step 3, utilizes reverse temperature intensity method, it is assumed that three key band absorption coefficients of sample to be tested are κλ1, κλ2
And κλ3, while assume that the thermal conductivity that sample to be tested varies with temperature is λ (T)=a1+a2·T+a3·T2；The unit of λ (T) is W/
(m·K)；A in formula1、a2、a3Three warm variable coefficients of thermal conductivity are represented respectively；
Step 4, solves radiation transfer equation and Heat Conduction Differential Equations, obtains sample to be tested interior temperature distribution Ti,est,
Lower footnote est represents calculated value；
Step 5, the sample to be tested internal temperature T obtained using step 2iCalculated value T corresponding with step 4i,est,
With reference to formula：
Obtain the object function F in reverse temperature intensity algorithm1,obj, wherein n is total thermocouple number；
Whether step 6, the object function in judgment step five are less than given threshold ε1, if so, will then assume in step 3
Sample to be tested thermal conductivity λ (Τ)=a1+a2·T+a3·T2W/ (mK) is exported (export a as a result1、a2、a3's
Value), sample thermal conductivity and three key band absorption coefficients, return to step four are otherwise corrected using Particle Swarm Optimization；
Step 7, using the warm Thermal Conductivity Varying With Temperature of step 6 output as final sample thermal conductivity, by three of step 6 output
Key band absorption coefficient is κλ1, κλ2And κλ3Initial value as Particle Swarm Optimization；
Step 8, solves radiation transfer equation and Heat Conduction Differential Equations, obtains and calculates sample to be tested upper surface not Tongfang
To radiation intensity qest(θj), lower footnote est represents calculated value；
Step 9, utilizes the different directions radiation intensity q (θ of measurement gained in step 2j) corresponding counted in step
Calculation value qest(θj), with reference to formula：
Obtain the object function F in Particle Swarm Optimization2,obj；Wherein, m is the direction for the radiation intensity that measurement obtains
Number；
Whether step 10, the object function in judgment step eight are less than given threshold ε2, if so, acquisition then is treated test sample
The band absorption coefficient κ of productλ1, κλ2And κλ3Export as a result, complete at the same time obtain high temperature translucent sample temperature Thermal Conductivity Varying With Temperature and
The method of band absorption coefficient, otherwise corrects three key band absorption coefficients using Particle Swarm Optimization, and by step 6
The warm Thermal Conductivity Varying With Temperature of output is as sample thermal conductivity, return to step eight.
Step 4 and the method in the temperature field in step 8 acquisition computational domain are：Utilize Heat Conduction Differential Equations
Realize, wherein ρ and cpRepresent the density and specific heat capacity of sample to be tested respectively, T and h represent sample temperature and right respectively
Flow the coefficient of heat transfer；qrRepresent radiant heat flux density, wherein footnote w1 and w2 represents coboundary and the lower boundary of sample to be tested respectively；
T∞Represent the temperature of surrounding fluid.
Step 4 and the method for the radiation field intensity in step 8 acquisition computational domain are：Utilize radiation transfer equation
Realize, κ in formulaλkRepresent k-th of band absorption coefficient of sample to be tested, k represents different bands of a spectrum, and I represents radiation
Intensity, IbRepresent the radiation intensity of black matrix at identical temperature, z represents thickness of sample；Ib,λkRepresent the spoke of k-th of bands of a spectrum of black matrix
Penetrate intensity；
The method of heat flow density obtained in Heat Conduction Differential Equations is：Utilize equation
Realize, ε represents the emissivity of sample to be tested upper surface in formula, and σ represents this special fence-Boltzmann constant, Ib,λkTable
Show the radiation intensity of k-th of bands of a spectrum of black matrix.
The beneficial effects of the invention are as follows：
The present invention provide a kind of experiment with reference to inversion algorithm obtain at the same time high temperature translucent medium temperature correlation thermal conductivity and
The method of band absorption coefficient.The method of the present invention is realized based on intrinsic light and heat information.Measuring method proposed by the present invention
Intrinsic light and heat information integration technology is introduced on the basis of reverse temperature intensity, can be greatly improved for the hot thing of translucent medium
Property measurement precision.
Translucent medium is heated to a certain high temperature using heater in measurement process, by detector measurement sample to be tested
Temperature-responsive (thermal signal) and direction radiation intensity (optical signal) itself, obtained indirectly finally by reverse temperature intensity technology
The thermal conductivity and spectral absorptance that sample to be tested varies with temperature.The present invention is by establishing the thermal conductivity and spectrum that vary with temperature
The forward and inverse problem model of translucent medium heat conduction radiation coupled and heat-exchange with absorption coefficient, before known to medium other specification
Put, it is proposed that using Particle Swarm Optimization Simultaneous Inversion high temperature translucent medium temperature correlation thermal conductivity and band absorption system
Several methods.Basic ideas are that temperature-responsive and the direction radiation intensity itself of sample to be tested, Ran Houjie are measured by experiment
Close Particle Swarm Optimization and obtain high temperature translucent medium temperature correlation thermal conductivity and the method for band absorption coefficient at the same time.
The present invention radiates coupling by the translucent medium heat conduction for establishing band absorption coefficient and thermal conductivity varies with temperature
The direct problem and reverse temperature intensity model of heat exchange are closed, solves high temperature translucent medium temperature correlation thermal conductivity and more band absorption systems
Number cannot directly measure with measurement result it is inaccurate the problem of, it is proposed that it is a kind of to obtain high temperature translucent medium temperature correlation at the same time
The method of thermal conductivity and band absorption coefficient.Advantage is：Model is simple, is solved easy to theory；Using Particle Swarm Optimization,
There is simple, efficient and high sensitivity during the Algorithm for Solving optimization problem.This invention is researching high-temperature translucent medium
Temperature correlation thermal conductivity and more bands of a spectrum absorption coefficients provide a kind of fast and accurately method, have to space flight, defense and commercial industry
It is of great significance.
Therefore it is larger there are resultant error to say that the present invention solves existing measuring method, and for temperature associated hot physical property
Inverting need more metrical informations the problem of.Translucent medium is heated to a certain high temperature using heater in measurement process,
By the intrinsic temperature response of detector measurement sample to be tested and direction radiation intensity, finally by between reverse temperature intensity technology
Connect to obtain thermal conductivity and the band absorption coefficient that sample to be tested varies with temperature.By establishing the thermal conductivity and spectrum that vary with temperature
The forward and inverse problem model of translucent medium heat conduction radiation coupled and heat-exchange with absorption coefficient, before known to medium other specification
Put, it is proposed that using Particle Swarm Optimization Simultaneous Inversion high temperature translucent medium temperature correlation thermal conductivity and band absorption system
Several methods, improves the precision for translucent medium thermophysical property measurement.
Brief description of the drawings
Fig. 1 is to obtain high temperature translucent medium temperature correlation thermal conductivity and band absorption at the same time described in embodiment one
The experimental provision schematic diagram of coefficient.
Embodiment
High temperature translucent medium temperature correlation thermal conductivity and spectrum are obtained described in embodiment one, present embodiment at the same time
Method with absorption coefficient, the concrete operation step of this method are：
Step 1, a certain fixed temperature T is heated to by sample to be tested0；
Step 2, stop heating, using detector its different directions of the upper table planar survey of sample to be tested radiation intensity q
(θj), and use the temperature T inside thermocouple measurement sample to be testedi, wherein, θjRespectively different radiation direction and thermocouple with i
Residing diverse location；As shown in Figure 1.
Step 3, utilizes reverse temperature intensity method, it is assumed that three key band absorption coefficients of sample to be tested are κλ1, κλ2
And κλ3, while assume that the thermal conductivity that sample to be tested varies with temperature is λ (T)=a1+a2·T+a3·T2；The unit of λ (T) is W/
(m·K)；
Step 4, solves radiation transfer equation and Heat Conduction Differential Equations, obtains sample to be tested interior temperature distribution Ti,est,
Lower footnote est represents calculated value；
Step 5, the sample to be tested internal temperature T obtained using step 2iCalculated value T corresponding with step 4i,est,
With reference to formula：
Obtain the object function F in reverse temperature intensity algorithm1,obj, wherein n is total thermocouple number；
Whether step 6, the object function in judgment step five are less than given threshold ε1, if so, will then assume in step 3
Sample to be tested thermal conductivity λ (Τ)=a1+a2·T+a3·T2W/ (mK) is exported as a result, otherwise excellent using Particle Swarm
Change algorithm and correct sample thermal conductivity and three key band absorption coefficients, return to step four；
Step 7, using the warm Thermal Conductivity Varying With Temperature of step 6 output as final sample thermal conductivity, by three of step 6 output
Key band absorption coefficient is κλ1, κλ2And κλ3Initial value as Particle Swarm Optimization；
Step 8, solves radiation transfer equation and Heat Conduction Differential Equations, obtains and calculates sample to be tested upper surface not Tongfang
To radiation intensity qest(θj), lower footnote est represents calculated value；
Step 9, utilizes the different directions radiation intensity q (θ of measurement gained in step 2j) corresponding counted in step
Calculation value qest(θj), with reference to formula：
Obtain the object function F in Particle Swarm Optimization2,obj；Wherein, m is the direction for the radiation intensity that measurement obtains
Number；
Whether step 10, the object function in judgment step eight are less than given threshold ε2, if so, acquisition then is treated test sample
The band absorption coefficient κ of productλ1, κλ2And κλ3Export as a result, complete at the same time obtain high temperature translucent sample temperature Thermal Conductivity Varying With Temperature and
The method of band absorption coefficient, otherwise corrects three key band absorption coefficients using Particle Swarm Optimization, and by step 6
The warm Thermal Conductivity Varying With Temperature of output is as sample thermal conductivity, return to step eight.
The high temperature that present embodiment designs three key band absorption coefficients first and thermal conductivity varies with temperature is semi-transparent
Bright medium transient radiation heat-transfer couple physical model, then establishes corresponding mathematical model and method for solving, is obtained by measurement
The Temperature Distribution of sample to be tested and direction radiation intensity itself, go out high temperature translucent medium using reverse temperature intensity reconstruction
Temperature correlation thermal conductivity and band absorption coefficient.
Embodiment two, present embodiment are the further explanations to one the method for embodiment, step
Four and the method in temperature field that obtains in computational domain of step 8 be：Utilize Heat Conduction Differential Equations
Realize, wherein ρ and cpThe density and specific heat capacity of sample to be tested are represented respectively, and T and h represent that temperature and convection current are changed respectively
Hot coefficient；qrRepresent radiant heat flux density, wherein footnote w1 and w2 represents coboundary and the lower boundary of sample to be tested respectively.
Embodiment three, present embodiment are the further explanations to one or two the method for embodiment,
Step 4 and the method for the radiation field intensity in step 8 acquisition computational domain are：Utilize radiation transfer equation
Realize, κ in formulaλkRepresent k-th of band absorption coefficient of sample to be tested, k represents different bands of a spectrum, and I represents radiation
Intensity, IbRepresent the radiation intensity of black matrix at identical temperature, z represents thickness of sample.
Embodiment four, present embodiment be to embodiment one, two or three the methods furtherly
Bright, the method for obtaining the heat flow density in Heat Conduction Differential Equations is：Utilize equation
Realize, ε represents the emissivity of sample to be tested upper surface in formula, and σ represents this special fence-Boltzmann constant.
Claims (4)
1. a kind of measure high temperature translucent medium thermal conductivity and the method for absorption coefficient, its feature at the same time based on intrinsic light and heat information
It is, this method concretely comprises the following steps：
Step 1, a certain fixed temperature T is heated to by sample to be tested0；
Step 2, stop heating, using detector its different directions of the upper table planar survey of sample to be tested radiation intensity q (θj),
And use the temperature T inside thermocouple measurement sample to be testedi, wherein, θjWith i residing for respectively different radiation direction and thermocouple
Diverse location；
Step 3, utilizes reverse temperature intensity method, it is assumed that three key band absorption coefficients of sample to be tested are κλ1,κλ2And κλ3,
Assume that the thermal conductivity that sample to be tested varies with temperature is λ (T)=a at the same time1+a2·T+a3·T2；The unit of λ (T) is W/ (m
K)；A in formula1、a2、a3Three warm variable coefficients of thermal conductivity are represented respectively；
Step 4, solves radiation transfer equation and Heat Conduction Differential Equations, obtains sample to be tested interior temperature distribution Ti,est, get a foothold
Mark est and represent calculated value；
Step 5, the sample to be tested internal temperature T obtained using step 2iCalculated value T corresponding with step 4i,est, with reference to
Formula：
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Obtain the object function F in reverse temperature intensity algorithm1,obj, wherein n is total thermocouple number；
Whether step 6, the object function in judgment step five are less than given threshold ε1, if so, then being treated what is assumed in step 3
Thermal conductivity λ (Τ)=a of sample1+a2·T+a3·T2Export as a result, sample is otherwise corrected using Particle Swarm Optimization
Product thermal conductivity and three key band absorption coefficients, return to step four；
The unit of λ (T) is W/ (mK)；
Step 7, using the warm Thermal Conductivity Varying With Temperature of step 6 output as final sample thermal conductivity, three features that step 6 is exported
Band absorption coefficient is κλ1,κλ2And κλ3Initial value as Particle Swarm Optimization；
Step 8, solves radiation transfer equation and Heat Conduction Differential Equations, obtains and calculates sample to be tested upper surface different directions
Radiation intensity qest(θj), lower footnote est represents calculated value；
Step 9, utilizes the different directions radiation intensity q (θ of measurement gained in step 2j) corresponding with step 8 calculated value
qest(θj), with reference to formula：
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Whether step 10, the object function in judgment step eight are less than given threshold ε2, if so, then by the sample to be tested of acquisition
Band absorption coefficient κλ1,κλ2And κλ3Export as a result, complete to obtain high temperature translucent sample temperature Thermal Conductivity Varying With Temperature and bands of a spectrum at the same time
The method of absorption coefficient, otherwise corrects three key band absorption coefficients using Particle Swarm Optimization, and step 6 is exported
Warm Thermal Conductivity Varying With Temperature as sample thermal conductivity, return to step eight.
2. according to claim 1 measure high temperature translucent medium thermal conductivity based on intrinsic light and heat information and absorb system at the same time
Several method, it is characterised in that step 4 and the method in the temperature field in step 8 acquisition computational domain are：Utilize heat conduction differential side
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Represent coboundary and the lower boundary of sample to be tested respectively with w2；T∞Represent the temperature of surrounding fluid.
3. according to claim 1 or 2 measure high temperature translucent medium thermal conductivity and suction at the same time based on intrinsic light and heat information
The method for receiving coefficient, it is characterised in that step 4 and the method for the radiation field intensity in step 8 acquisition computational domain are：Utilize spoke
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</mrow>
Realize, κ in formulaλkRepresenting k-th of band absorption coefficient of sample to be tested, k represents different bands of a spectrum, and I represents radiation intensity,
IbRepresent the radiation intensity of black matrix at identical temperature, z represents thickness of sample；Ib,λkRepresent that the radiation of k-th of bands of a spectrum of black matrix is strong
Degree.
4. according to claim 3 measure high temperature translucent medium thermal conductivity based on intrinsic light and heat information and absorb system at the same time
Several method, it is characterised in that the method for heat flow density obtained in Heat Conduction Differential Equations is：Utilize equation
<mrow>
<msubsup>
<mi>q</mi>
<mrow>
<mi>w</mi>
<mn>1</mn>
</mrow>
<mi>r</mi>
</msubsup>
<mo>=</mo>
<mi>&epsiv;</mi>
<mo>&lsqb;</mo>
<msubsup>
<mi>&sigma;T</mi>
<mrow>
<mi>w</mi>
<mn>1</mn>
</mrow>
<mn>4</mn>
</msubsup>
<mo>-</mo>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>k</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mn>3</mn>
</munderover>
<msub>
<mo>&Integral;</mo>
<mrow>
<mi>c</mi>
<mi>o</mi>
<mi>s</mi>
<mi>&theta;</mi>
<mo>></mo>
<mn>0</mn>
</mrow>
</msub>
<mn>2</mn>
<msub>
<mi>&pi;I</mi>
<mi>k</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>L</mi>
<mo>,</mo>
<mi>&theta;</mi>
<mo>)</mo>
</mrow>
<mo>|</mo>
<mi>c</mi>
<mi>o</mi>
<mi>s</mi>
<mi>&theta;</mi>
<mo>|</mo>
<mi>s</mi>
<mi>i</mi>
<mi>n</mi>
<mi>&theta;</mi>
<mi>d</mi>
<mi>&theta;</mi>
<mo>&rsqb;</mo>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>7</mn>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<mfrac>
<mrow>
<mo>&part;</mo>
<msup>
<mi>q</mi>
<mi>r</mi>
</msup>
</mrow>
<mrow>
<mo>&part;</mo>
<mi>z</mi>
</mrow>
</mfrac>
<mo>=</mo>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>k</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mn>3</mn>
</munderover>
<mn>4</mn>
<mi>&pi;</mi>
<mo>&CenterDot;</mo>
<msub>
<mi>&kappa;</mi>
<mrow>
<mi>&lambda;</mi>
<mi>k</mi>
</mrow>
</msub>
<mo>&CenterDot;</mo>
<mo>&lsqb;</mo>
<msub>
<mi>I</mi>
<mrow>
<mi>b</mi>
<mo>,</mo>
<mi>&lambda;</mi>
<mi>k</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>z</mi>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mfrac>
<mn>1</mn>
<mn>2</mn>
</mfrac>
<msubsup>
<mo>&Integral;</mo>
<mn>0</mn>
<mi>&pi;</mi>
</msubsup>
<msub>
<mi>I</mi>
<mi>k</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>z</mi>
<mo>,</mo>
<mi>&theta;</mi>
<mo>)</mo>
</mrow>
<mi>d</mi>
<mi>&theta;</mi>
<mo>&rsqb;</mo>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>8</mn>
<mo>)</mo>
</mrow>
</mrow>
Realize, ε represents the emissivity of sample to be tested upper surface in formula, and σ represents this special fence-Boltzmann constant, Ib,λkRepresent black matrix
K-th of bands of a spectrum radiation intensity.
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