CN104913862A - Convective heat flow measuring method based on circular foil heat flow meter - Google Patents
Convective heat flow measuring method based on circular foil heat flow meter Download PDFInfo
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- CN104913862A CN104913862A CN201510268503.1A CN201510268503A CN104913862A CN 104913862 A CN104913862 A CN 104913862A CN 201510268503 A CN201510268503 A CN 201510268503A CN 104913862 A CN104913862 A CN 104913862A
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Abstract
The invention discloses a convective heat flow measuring method based on a circular foil heat flow meter. The convective heat flow measuring method comprises the steps of: establishing a convective heat flow measuring mathematic model of the circular foil heat flow meter, and acquiring a circular foil temperature distribution function of the circular foil heat flow meter; establishing a correlation function of the circular foil core temperature and an output electromotive force of the circular foil heat flow meter; and measuring the output electromotive force of the circular foil heat flow meter, and calculating an average convective heat flow density measured by the circular foil heat flow meter based on the circular foil temperature distribution function and the correlation function of the circular foil core temperature and the output electromotive force of the circular foil heat flow meter. The convective heat flow measuring method realizes accurate measurement of convective heat flow in the case of unknown convective heat exchange coefficient without changing the hardware structure and use conditions of the circular foil heat flow meter.
Description
Technical field
The invention belongs to convective heat flow field of measuring technique, particularly a kind of convective heat flow measuring method based on circle paper tinsel heat flow meter.
Background technology
Heat transmission is a kind of ubiquitous physical phenomenon, and as a basic ermal physics amount, the measurement of heat flow density is subject to extensive concern in each field such as industrial technology, health environment.Circle paper tinsel heat flow meter is a kind of heat flux sensor applying large heat flow measurement, has Stability Analysis of Structures, measures the advantages such as range is large, be widely used in the field such as firing chamber, fire test.Circle foil heat flow meter is invented by Robert Gardon the earliest, has become now a full-fledged commercial heat flux sensor, and the companies such as the U.S. Medtherm, Vatell are all the famous manufacturers of circle foil heat flow meter.
The type selecting of circle paper tinsel heat flow meter (being also referred to as Gardon heat flow meter) is mainly such as, according to the sensor parameters that producer provides, measurement sensistivity, time constant etc.The sensor that the sensitivity of circle paper tinsel heat flow meter is numerically equal under steady state conditions exports electromotive force and the ratio measuring hot-fluid, therefore based on sensitivity parameter, according to the output electromotive force of sensor, can obtain heat flow density, this is that the ultimate principle exported measured by commercial circle paper tinsel heat flow meter.The round paper tinsel heat flow meter of existing commercialization is mainly used in the measurement of radiant heat flux, and its sensitivity parameter is obtained by calculating or obtained by radiation source calibration.
But circle paper tinsel heat flow meter is when being applied to convection environment heat flow measurement, but there is significant limitation: obtain under the sensitivity parameter of (1) universal measurement method is aimed at radiant heat flux condition, for convective heat flow is measured, can there is very large error in measurement result; (2) if calibrated convective heat flow measurement result, often need to know convection transfer rate, this can limit the practical application of heat flux sensor under unknown convection environment.
Summary of the invention
Based on the problems referred to above, the invention provides a kind of convective heat flow measuring method based on circle paper tinsel heat flow meter, do not change round paper tinsel heat flow meter hardware configuration and service condition, when unknown convection current heat exchange factor, realize the accurate measurement of convective heat flow.
For above-mentioned purpose, the invention provides a kind of convective heat flow measuring method based on circle paper tinsel heat flow meter, it is characterized in that, comprising:
The convective heat flow setting up circle paper tinsel heat flow meter measures mathematical model, obtains the round foil temperature distribution function of described round paper tinsel heat flow meter;
Set up the correlation function of the round paillon foil central temperature of described round paper tinsel heat flow meter and the output electromotive force of described round paper tinsel heat flow meter;
Measure the output electromotive force of described round paper tinsel heat flow meter, based on the correlation function of the temperature profile function of described round paillon foil and the output electromotive force of described round paillon foil central temperature and described round paper tinsel heat flow meter, calculate the average convection heat flow density that described round paper tinsel heat flow meter is measured.
Wherein, the convective heat flow of described round paper tinsel heat flow meter is measured mathematical model and is transmitted conservation equation foundation by heat.
Wherein, the described convective heat flow setting up described round paper tinsel heat flow meter measures mathematical model, obtains the round foil temperature distribution function of described round paper tinsel heat flow meter, specifically comprises:
The convective heat flow setting up described round paper tinsel heat flow meter measures mathematical model;
Solve described mathematical model, obtain the round foil temperature distribution function of described round paper tinsel heat flow meter:
T(r)-T
0＝(T
∞-T
0)[1-I
0(m
ξr)/I
0(m
ξR)]
Wherein, I
0it is the bessel function that 0 rank are revised; R is the radius of described round paillon foil; T
∞for the temperature of incoming flow of thermal environment measured by described round paper tinsel heat flow meter; T
0for the heat sink temperature of described round paper tinsel heat flow meter; R is radial location variable; m
ξfor combination physical parameter, and m
ξ=(h/ ξ λ δ)
1/2, ξ is the constant determined according to the measuring point central temperature of described round paillon foil; H measures the convection transfer rate between thermal environment and described round foil surfaces, and δ is described round foil thickness, and λ is the coefficient of heat conductivity of described round paillon foil.
Wherein, the correlation function of the round paillon foil central temperature of described round paper tinsel heat flow meter and the output electromotive force of described round paper tinsel heat flow meter is specially:
E＝kΔT(1+gΔT)
Wherein, Δ T=T
c-T
0; T
cfor described round paillon foil central temperature; E is the output electromotive force of described round paper tinsel heat flow meter; K is the output coefficient of thermocouple electromotive force; G is the nonlinear correction term of the output coefficient of thermocouple electromotive force.
Wherein, the output electromotive force of the described round paper tinsel heat flow meter of described measurement, based on the correlation function of the temperature profile function of described round paillon foil and the output electromotive force of described round paillon foil central temperature and described round paper tinsel heat flow meter, calculate the convective heat flow density that described round paper tinsel heat flow meter is measured, specifically comprise:
Gather the output electromotive force E of described round paper tinsel heat flow meter;
By the correlation function of the round paillon foil central temperature of described round paper tinsel heat flow meter and the output electromotive force of described round paper tinsel heat flow meter, obtain described round paillon foil central temperature;
Based on above-mentioned round paillon foil central temperature, according to described round foil temperature distribution function, calculation combination physical property parameter m
ξvalue, and according to described combination physical parameter m
ξvalue, calculate the value that described advection heat changes coefficient h;
According to described combination physical parameter m
ξvalue and the value of described convection transfer rate h, obtain described round paillon foil convective heat flow density.
Wherein, described according to described combination physical parameter m
ξvalue and the value of described convection transfer rate h, obtain described round paillon foil convective heat flow density, be specially:
Set up the average convection heat flow density function of circle foil surfaces:
Wherein, Δ T=T
c-T
0, I
1it is the bessel function that 1 rank are revised;
According to described combination physical parameter m
ξvalue and the value of described convection transfer rate h, based on described average convection heat flow density function, calculate described average convection heat flow density q.
Convective heat flow measuring method based on circle paper tinsel heat flow meter of the present invention, when unknown convection current heat exchange factor, realizes the accurate measurement of convective heat flow, solves the technical limitation that commercial circle paper tinsel heat flow meter cannot be applied to convective heat flow measurement better.In addition, the present invention, under the prerequisite not changing round paper tinsel heat flow meter hardware configuration and service condition, achieves the measurement of convective heat flow, measuring method simple possible, the high-acruracy survey being applied to convective heat flow for circle paper tinsel heat flow meter provides important technological guidance, has extraordinary application prospect.
Accompanying drawing explanation
Fig. 1 shows the process flow diagram of the convective heat flow measuring method based on circle paper tinsel heat flow meter of the present invention.
Fig. 2 shows the particular flow sheet of the step S3 of the convective heat flow measuring method based on circle paper tinsel heat flow meter of the present invention.
Embodiment
Below in conjunction with drawings and Examples, the specific embodiment of the present invention is described in further detail.Following examples for illustration of the present invention, but are not used for limiting the scope of the invention.
An embodiment provides a kind of convective heat flow measuring method based on circle paper tinsel heat flow meter.
Fig. 1 shows the process flow diagram of the convective heat flow measuring method based on circle paper tinsel heat flow meter of the present invention.
With reference to Fig. 1, the convective heat flow measuring method based on circle paper tinsel heat flow meter of the present invention, specifically comprises:
The convective heat flow of S1, foundation circle paper tinsel heat flow meter measures mathematical model, obtains the round foil temperature distribution function of described round paper tinsel heat flow meter.
In the present embodiment, under convection heat transfer environment, the round foil temperature distribution of circle paper tinsel heat flow meter is environment thermal convection heat transfer, circle paillon foil internal heat conducts coefficient result, meets heat and transmits conservation equation, be referred to as the mathematical model of heat flow measurement.
Transmit conservation equation by the round paillon foil steady state heat analyzed under convection heat transfer condition, solve the temperature analytical function of the arbitrary radial location r obtained on heat flow meter circle paillon foil, namely round foil temperature distribution function is:
T(r)-T
0＝(T
∞-T
0)[1-I
0(m
ξr)/I
0(m
ξR)]
Wherein, I
0it is the bessel function that 0 rank are revised; R is the radius of described round paillon foil; T
∞for the temperature of incoming flow of thermal environment measured by described round paper tinsel heat flow meter, it is given value; T
0for the heat sink temperature of described round paper tinsel heat flow meter, it is given value; R is radial location variable; m
ξfor combination physical parameter, and m
ξ=(h/ ξ λ δ)
1/2, ξ is the constant determined according to the measuring point central temperature of described round paillon foil; H measures the convection transfer rate between thermal environment and described round foil surfaces, and δ is described round foil thickness, and λ is the coefficient of heat conductivity of described round paillon foil.
In above-mentioned round foil temperature distribution function, work as r=0, T (r=0) is heat flow meter circle paillon foil central temperature T
c.
S2, set up the correlation function of the round paillon foil central temperature of described round paper tinsel heat flow meter and the output electromotive force of described round paper tinsel heat flow meter;
Circle paper tinsel heat flow meter exports the temperature T at electromotive force E and circle paillon foil center
c, circle foil edge temperature T
0(being also referred to as heat sink temperature) is correlated with, and the correlation function of the output electromotive force of heat flow meter circle paillon foil central temperature and heat flow meter is:
E＝kΔT(1+gΔT)
Wherein, Δ T=T
c-T
0; E is the output electromotive force of described round paper tinsel heat flow meter; K is the output coefficient of thermocouple electromotive force; G is the nonlinear correction term of the output coefficient of thermocouple electromotive force, and in one embodiment, k can be set to: k=0.0387mV/K, g can be set to: g=0.0012K
-1.。
In above-mentioned correlation function, T
0for given value, therefore, by recording the output electromotive force of heat flow meter, circle paillon foil central temperature T can be obtained
c.
S3, measure the output electromotive force of described round paper tinsel heat flow meter, based on the correlation function of the temperature profile function of described round paillon foil and the output electromotive force of described round paillon foil central temperature and described round paper tinsel heat flow meter, calculate the average convection heat flow density that described round paper tinsel heat flow meter is measured.
Fig. 2 shows the particular flow sheet of the step S3 of the convective heat flow measuring method based on circle paper tinsel heat flow meter of the present invention.
In the present embodiment, with reference to Fig. 2, step S3 specifically comprises:
S31, gather the output electromotive force E of described round paper tinsel heat flow meter;
S32, correlation function by the round paillon foil central temperature of described round paper tinsel heat flow meter and the output electromotive force of described round paper tinsel heat flow meter, obtain described round paillon foil central temperature;
S33, based on above-mentioned round paillon foil central temperature, according to described round foil temperature distribution function, calculation combination physical property parameter m
ξvalue, and according to described combination physical parameter m
ξvalue, calculate the value that described advection heat changes coefficient h;
S34, according to described combination physical parameter m
ξvalue and the value of described convection transfer rate h, obtain described round paillon foil convective heat flow density.
Step S34 is specially:
Set up the average convection heat flow density function of circle foil surfaces:
Wherein, Δ T=T
c-T
0, I
1it is the bessel function that 1 rank are revised;
According to combination physical parameter m
ξvalue and the value of convection transfer rate h, based on described average convection heat flow density function, calculate described average convection heat flow density q.
Convective heat flow measuring method based on circle paper tinsel heat flow meter of the present invention, when unknown convection current heat exchange factor, realizes the accurate measurement of convective heat flow, solves the technical limitation that commercial circle paper tinsel heat flow meter cannot be applied to convective heat flow measurement better.In addition, the present invention, under the prerequisite not changing round paper tinsel heat flow meter hardware configuration and service condition, achieves the measurement of convective heat flow, measuring method simple possible, the high-acruracy survey being applied to convective heat flow for circle paper tinsel heat flow meter provides important technological guidance, has extraordinary application prospect.
Above embodiment is only for illustration of the present invention; and be not limitation of the present invention; the those of ordinary skill of relevant technical field; without departing from the spirit and scope of the present invention; can also make a variety of changes and modification; therefore all equivalent technical schemes also belong to category of the present invention, and scope of patent protection of the present invention should be defined by the claims.
Claims (6)
1., based on a convective heat flow measuring method for circle paper tinsel heat flow meter, it is characterized in that, comprising:
The convective heat flow setting up circle paper tinsel heat flow meter measures mathematical model, obtains the round foil temperature distribution function of described round paper tinsel heat flow meter;
Set up the correlation function of the round paillon foil central temperature of described round paper tinsel heat flow meter and the output electromotive force of described round paper tinsel heat flow meter;
Measure the output electromotive force of described round paper tinsel heat flow meter, based on the correlation function of the temperature profile function of described round paillon foil and the output electromotive force of described round paillon foil central temperature and described round paper tinsel heat flow meter, calculate the average convection heat flow density that described round paper tinsel heat flow meter is measured.
2. as claimed in claim 1 based on the convective heat flow measuring method of circle paper tinsel heat flow meter, it is characterized in that, the convective heat flow of described round paper tinsel heat flow meter is measured mathematical model and is transmitted conservation equation foundation by heat.
3. as claimed in claim 2 based on the convective heat flow measuring method of circle paper tinsel heat flow meter, it is characterized in that, the described convective heat flow setting up described round paper tinsel heat flow meter measures mathematical model, obtains the round foil temperature distribution function of described round paper tinsel heat flow meter, specifically comprises:
The convective heat flow setting up described round paper tinsel heat flow meter measures mathematical model;
Solve described mathematical model, obtain the round foil temperature distribution function of described round paper tinsel heat flow meter:
T(r)-T
0＝(T
∞-T
0)[1-I
0(m
ξr)/I
0(m
ξR)]
Wherein, I
0it is the bessel function that 0 rank are revised; R is the radius of described round paillon foil; T
∞for the temperature of incoming flow of thermal environment measured by described round paper tinsel heat flow meter; T
0for the heat sink temperature of described round paper tinsel heat flow meter; R is radial location variable; m
ξfor combination physical parameter, and m
ξ=(h/ ξ λ δ)
1/2, ξ is the constant determined according to the measuring point central temperature of described round paillon foil; H measures the convection transfer rate between thermal environment and described round foil surfaces, and δ is described round foil thickness, and λ is the coefficient of heat conductivity of described round paillon foil.
4., as claimed in claim 3 based on the convective heat flow measuring method of circle paper tinsel heat flow meter, it is characterized in that, the correlation function of the round paillon foil central temperature of described round paper tinsel heat flow meter and the output electromotive force of described round paper tinsel heat flow meter is specially:
E＝kΔT(1+gΔT)
Wherein, Δ T=T
c-T
0; T
cfor described round paillon foil central temperature; E is the output electromotive force of described round paper tinsel heat flow meter; K is the output coefficient of thermocouple electromotive force, and g is the nonlinear correction term of the output coefficient of thermocouple electromotive force.
5. as claimed in claim 4 based on the convective heat flow measuring method of circle paper tinsel heat flow meter, it is characterized in that, the output electromotive force of the described round paper tinsel heat flow meter of described measurement, based on the correlation function of the temperature profile function of described round paillon foil and the output electromotive force of described round paillon foil central temperature and described round paper tinsel heat flow meter, calculate the convective heat flow density that described round paper tinsel heat flow meter is measured, specifically comprise:
Gather the output electromotive force E of described round paper tinsel heat flow meter;
By the correlation function of the round paillon foil central temperature of described round paper tinsel heat flow meter and the output electromotive force of described round paper tinsel heat flow meter, obtain described round paillon foil central temperature;
Based on above-mentioned round paillon foil central temperature, according to described round foil temperature distribution function, calculation combination physical property parameter m
ξvalue, and according to described combination physical parameter m
ξvalue, calculate the value that described advection heat changes coefficient h;
According to described combination physical parameter m
ξvalue and the value of described convection transfer rate h, obtain described round paillon foil convective heat flow density.
6., as claimed in claim 5 based on the convective heat flow measuring method of circle paper tinsel heat flow meter, it is characterized in that, described according to described combination physical parameter m
ξvalue and the value of described convection transfer rate h, obtain described round paillon foil convective heat flow density, be specially:
Set up the average convection heat flow density function of circle foil surfaces:
Wherein, Δ T=T
c-T
0, I
1it is the bessel function that 1 rank are revised;
According to described combination physical parameter m
ξvalue and the value of described convection transfer rate h, based on described average convection heat flow density function, calculate described average convection heat flow density q.
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Cited By (3)
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| RU2737681C1 (en) * | 2020-02-26 | 2020-12-02 | Федеральное государственное образовательное учреждение высшего образования "Санкт-Петербургский университет Государственной противопожарной службы Министерства Российской Федерации по делам гражданской обороны, чрезвычайным ситуациям и ликвидации последствий стихийных бедствий" | Method for measuring density of heat flow |
| CN112345585A (en) * | 2020-10-23 | 2021-02-09 | 中国科学技术大学 | Flame convection heat transfer measurement method based on boundary layer theory |
| CN114659677A (en) * | 2022-05-25 | 2022-06-24 | 中国飞机强度研究所 | Circular foil type heat flow sensor for aerospace plane test experiment and design method thereof |
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