CN108459049A - A kind of mine foam fluent material thermal stability property test device and method - Google Patents
A kind of mine foam fluent material thermal stability property test device and method Download PDFInfo
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Abstract
The invention discloses a kind of mine foam fluent material thermal stability property test device and methods, including constant temperature heating device, large beaker, small beaker, temperature measuring equipment and data processing equipment；Absorbed in same time interval using aerated fluid material heat number as the index for weighing thermal stability property, as temperature increases when the thermal stability property of aerated fluid material reaches critical point and is destroyed, the heat that aerated fluid material absorbs will be decreased obviously, this characteristic point is known as unstability critical point, the temperature of this point is known as unstability critical-temperature, the time undergone to unstability critical point since experiment is known as the unstability crash time, and the net quantity of heat that aerated fluid material is absorbed in the meantime is known as critical caloric receptivity；The present invention obtains the unstability crash time of different types of aerated fluid material and critical caloric receptivity by measuring, and then obtains the thermal stability property of different types of aerated fluid material.
Description
Technical field
The present invention relates to a kind of test device and method of aerated fluid material property, specifically a kind of mine foam fluids
Material thermal stability property test device and method.
Background technology
Mine fire is one of coal mine major casualty, wherein coal spontaneous combustion fire incident caused by being leaked out due to coal petrography crack is accounted for
90% or more of mine fire sum.Domestic and international generally use grouting, note foam, sprays retardant, is gel-filled and multiple nitrogen injection
The preventing and extinguishing fire technologies such as colloid are closed to prevent mine coal spontaneous combustion.Above-mentioned material all achieves certain effect in application process at the scene
Fruit, but some problems are also deposited, it is essentially that can not solve the lasting closure to high-temperature coal lithofraction gap and inerting.Foams block
The features such as material is because of its good crack penetrating power, the accumulation that can hoist, three-dimensional covering is in recent years increasingly by domestic and international
The concern of scholar.The common foams fireproofing extinguishing materials of coal mine mainly have noble gas foam, inhibition foam, gel foam, three at present
Phase foam, foam mortar etc., but the thermal stability of these materials be at the scene during practical prevention and control high-temperature coal lithofraction gap most
Crucial characteristic.Therefore there is an urgent need for carry out foam-body material thermal stability property Study on Test Method.
There are some measuring principles, method and experiment in certain application fields about the test of the thermal stability property of material at present
Device also forms the national standard of some material thermal stability properties test and measures specification, as polyformaldehyde thermal stability is surveyed
Surely there is development process inspection；The thermostabilization of PVC material then reflects thermostabilization using heated certain specific product released of material
Performance.And there is the difference of essence with PVC material with above-mentioned polyformaldehyde in aerated fluid material, mainly due to aerated fluid material
Material is to belong to solid, liquid, gas three-phase mixture, is a kind of heterogeneous material, and aerated fluid stability is influenced in the case of heated
Mainly foam carrier liquid film accelerate drain and bubble sky in gas medium pressure change.In entire thermal histories not
There are hot h substances, and composition transfer is also not present.Therefore it can not pass through the side of above-mentioned test polyformaldehyde and PVC material stability
Method tests aerated fluid.At present to the test method of aerated fluid thermal stability property also in blank.
Invention content
In view of the above existing problems in the prior art, the present invention provides a kind of surveys of mine foam fluent material thermal stability property
Device and method is tried, using the unstability crash time and critical caloric receptivity for measuring aerated fluid material, and then can obtain foam stream
The thermal stability property of body material.
To achieve the goals above, the technical solution adopted by the present invention is：A kind of mine foam fluent material thermostabilization is special
System safety testing device, including constant temperature heating device, large beaker, small beaker, temperature measuring equipment and data processing equipment, constant temperature heating device
It is equipped with asbestos gauge, large beaker is placed on asbestos gauge, and small beaker is in inside large beaker, and the temperature measuring equipment is two thermoelectricity
Even, two thermocouples are individually positioned in large beaker and small beaker, and two thermocouples are connect with data processing equipment, large beaker
Upper end be equipped with thermal insulation board.
Further, the data processing equipment is computer.
Further, the constant temperature heating device is heated at constant temperature instrument.
A kind of test method of mine foam fluent material thermal stability property, the specific steps are：
(1) one of which aerated fluid material is detected with differential scanning calorimeter, obtains aerated fluid material DSC
Curve, the specific heat capacity that aerated fluid material is then drawn according to DSC curve vary with temperature the curve graph of characteristic；
(2) thermal insulation board is opened, aerated fluid material is placed on mine foam fluent material thermal stability property test device
In small beaker in, soya-bean oil is then injected in large beaker, and make soya-bean oil liquid level be higher than aerated fluid material liquid level, it is this
Set-up mode can make aerated fluid material be in the environment of thermally equivalent, and the liquid level of soya-bean oil can higher than the liquid level of aerated fluid material
With the influence that the inhomogeneities and large beaker that reduce heat transfer radiate to experimental data, thermal insulation board is placed on large beaker after the completion
Upper end；
(3) it opens heated at constant temperature instrument to be evenly heated the soya-bean oil in large beaker from room temperature, the heat in large beaker
Galvanic couple is measured in real time the temperature of soya-bean oil and feeds back to data processing equipment；
(4) thermocouple of the data processing equipment control in small beaker measures aerated fluid material at interval of same time
Temperature T, and be worth the temperature variation Δ T in each interval time section according to each temperature T measured, in conjunction with specific heat capacity
The curve varied with temperature, and the following formula of use calculates the absorption thermal data of aerated fluid material, finally by data
The caloric receptivity that reason device fits this kind of aerated fluid material changes over time curve graph；
ΔQp=CpmΔT
In formula：ΔQPFor the heat in time adjacent segments, CpHold for aerated fluid constant pressure specific heat, m is aerated fluid sample matter
Amount, Δ T are the temperature variation in interval time section；
(5) it selects different types of aerated fluid material to repeat step (1) to (4), obtains various aerated fluid materials
Caloric receptivity changes over time curve graph；
(6) data processing equipment changes over time curve graph according to the caloric receptivity of aerated fluid material, generates each experiment
The discrete point diagram of data point X；
(7) conic fitting is carried out using following function formula, obtains matched curve Y；
Q=K1t2+K2t+K3
In formula：Q is the caloric receptivity of aerated fluid material, and t is the heat absorption time of aerated fluid material；Parameter K1、K2、K3's
Specifically calculating process is：
Data fitting is carried out using least square method, if f (x) is original function, g (x) is approximate function, (xi, f (xi))(i
=1 ..., n) it is data point, to make g (x)：
It is minimum；
Above-mentioned known experimental data point (xi, yi) (i=1 ..., n), with quadratic function Q=K1t2+K2t+K3Do approximate fits
Curve, and make the mean square error be
It is minimum；
Thus parameter K is obtained1、K2、K3Value；
(8) the terminal A and B of matched curve Y are linked to be straight line AB, and obtain the slope K of straight line AB, utilize Suzanne Lenglen
Day mean value theorem, i.e., it is equal with the slope of straight line AB that there are the tangent lines of any on curve, obtains tangent line Z；
(9) point of contact of tangent line Z and matched curve Y is unstability critical point, and the corresponding abscissa time is that unstability is critical
Time Tc；
(10) at the beginning between to unstability crash time TcMatched curve Y is integrated in range and (is i.e. fitted in Fig. 2 bent
Line Y and unstability crash time TcThe region gross area of composition), obtain the critical caloric receptivity Q of various aerated fluid materialsc；
(11) according to the unstability crash time T of the various aerated fluid materials obtainedcWith critical caloric receptivity Qc, determine various
The thermal stability property of aerated fluid material.
Compared with prior art, the present invention uses the side of the unstability crash time and critical caloric receptivity of aerated fluid material
Formula, absorbed in same time interval using aerated fluid material heat number as the index for weighing thermal stability property, with
Temperature increases when the thermal stability property of aerated fluid material reaches critical point and is destroyed, and the heat that aerated fluid material absorbs will
It is decreased obviously, this characteristic point is known as unstability critical point, and the temperature of this point is known as unstability critical-temperature, to mistake since experiment
The time that steady critical point is undergone is known as the unstability crash time, and the net quantity of heat that aerated fluid material is absorbed in the meantime is known as
Critical caloric receptivity；The present invention obtains the unstability crash time of different types of aerated fluid material and critical heat absorption by measuring
Amount, and then obtain the thermal stability property of different types of aerated fluid material.
Description of the drawings
Fig. 1 is the structural schematic diagram of test device in the present invention；
Fig. 2 is that the caloric receptivity of aerated fluid material in the present invention varies with temperature curve graph；
Fig. 3 is that the caloric receptivity of inorganic solidified aerated fluid in embodiment 1 varies with temperature curve graph；
Fig. 4 is that the caloric receptivity of gel foam fluid in embodiment 2 varies with temperature curve graph；
Fig. 5 is that the caloric receptivity of three-phase froth fluid in embodiment 3 varies with temperature curve graph；
Fig. 6 is that the caloric receptivity of AB component foams fluid in embodiment 4 varies with temperature curve graph.
In figure：1, thermal insulation board, 2, large beaker, 3, small beaker, 4, heated at constant temperature instrument, 5, temperature measuring equipment.
Specific implementation mode
The invention will be further described below.
As shown in Figure 1, a kind of mine foam fluent material thermal stability property test device, including it is constant temperature heating device, big
Beaker 2, small beaker 3, temperature measuring equipment 5 and data processing equipment, constant temperature heating device are equipped with asbestos gauge, and large beaker 2 is placed on
On asbestos gauge, small beaker 3 is in inside large beaker 2, and the temperature measuring equipment 5 is two thermocouples, and two thermocouples are placed respectively
In large beaker 2 and small beaker 3, two thermocouples are connect with data processing equipment, and the upper end of large beaker 2 is equipped with thermal insulation board 1.
Further, the data processing equipment is computer.
Further, the constant temperature heating device is heated at constant temperature instrument 4.
Embodiment 1：
The test method of inorganic solidified aerated fluid material thermal stability property, the specific steps are：
(1) inorganic solidified aerated fluid material is detected with differential scanning calorimeter, obtains inorganic solidified foam stream
The DSC curve of body material, the specific heat capacity that inorganic solidified aerated fluid material is then drawn according to DSC curve vary with temperature characteristic
Curve graph；
(2) thermal insulation board 1 is opened, inorganic solidified aerated fluid material is placed on mine foam fluent material thermal stability property
In small beaker 3 in test device, soya-bean oil is then injected in large beaker 2, and the liquid level of soya-bean oil is made to be higher than inorganic solidified foam
Thermal insulation board 1 is placed on the upper end of large beaker 2 by the liquid level of fluent material after the completion；
(3) it opens heated at constant temperature instrument 4 to be evenly heated the soya-bean oil in large beaker 2 from room temperature, in large beaker 2
Thermocouple is measured in real time the temperature of soya-bean oil and feeds back to data processing equipment；
(4) thermocouple of the data processing equipment control in small beaker 3 measured inorganic solidified foam stream at interval of 3 minutes
The temperature T of body material, and it is worth the temperature variation Δ T in each interval time section according to each temperature T measured, in conjunction with
The curve that specific heat capacity varies with temperature, and the following formula of use calculates the absorption heat number of inorganic solidified aerated fluid material
According to the caloric receptivity for finally fitting inorganic solidified aerated fluid material by data processing equipment changes over time curve graph；
ΔQp=CpmΔT
In formula：ΔQPFor the heat in time adjacent segments, CpHold for aerated fluid constant pressure specific heat, m is inorganic solidified foam stream
Body material sample quality, Δ T are the temperature variation in interval time section；
(5) data processing equipment changes over time curve graph according to the caloric receptivity of inorganic solidified aerated fluid material, generates
The discrete point diagram of each experimental data point X；
(6) conic fitting is carried out using following function formula, obtains matched curve Y；
Q=K1t2+K2t+K3
In formula：Q is the caloric receptivity of aerated fluid material, and t is the heat absorption time of aerated fluid material；Parameter K1、K2、K3's
Specifically calculating process is：
Data fitting is carried out using least square method, if f (x) is original function, g (x) is approximate function, (xi, f (xi))(i
=1 ..., n) it is data point, to make g (x)：
It is minimum；
Above-mentioned known experimental data point (xi, yi) (i=1 ..., n), with quadratic function Q=K1t2+K2t+K3Do approximate fits
Curve, and make the mean square error be
It is minimum；
Thus parameter K is obtained1、K2、K3Value be respectively -2.41,37.45,797.38；
(8) the terminal A and B of matched curve Y are linked to be straight line AB, and obtain the slope K of straight line AB, utilize Suzanne Lenglen
Day mean value theorem, i.e., it is equal with the slope of straight line AB that there are the tangent lines of any on curve, obtains tangent line Z；
(9) point of contact of tangent line Z and matched curve Y is unstability critical point, and the corresponding abscissa time is that unstability is critical
Time Tc；
(10) at the beginning between to unstability crash time TcMatched curve Y is integrated in range, is obtained inorganic solidified
The critical caloric receptivity Q of aerated fluid materialc；
(11) according to the unstability crash time T of the inorganic solidified aerated fluid material obtainedcWith critical caloric receptivity Qc(such as Fig. 3
It is shown), determine the thermal stability property of inorganic solidified aerated fluid material.
Embodiment 2：
The test method of gel foam fluent material thermal stability property, the specific steps are：
(1) gel foam fluent material is detected with differential scanning calorimeter, obtains gel foam fluent material
DSC curve, the specific heat capacity that gel foam fluent material is then drawn according to DSC curve vary with temperature the curve graph of characteristic；
(2) thermal insulation board 1 is opened, gel foam fluent material is placed on the test of mine foam fluent material thermal stability property
In small beaker 3 in device, soya-bean oil is then injected in large beaker 2, and the liquid level of soya-bean oil is made to be higher than gel foam fluent material
Liquid level, thermal insulation board 1 is placed on to the upper end of large beaker 2 after the completion；
(3) it opens heated at constant temperature instrument 4 to be evenly heated the soya-bean oil in large beaker 2 from room temperature, in large beaker 2
Thermocouple is measured in real time the temperature of soya-bean oil and feeds back to data processing equipment；
(4) thermocouple of the data processing equipment control in small beaker 3 measured gel foam fluid material at interval of 3 minutes
The temperature T of material, and it is worth the temperature variation Δ T in each interval time section according to each temperature T measured, in conjunction with specific heat
Hold the curve that varies with temperature, and calculate the absorption thermal data of gel foam fluent material using following formula, finally by
The caloric receptivity that data processing equipment fits gel foam fluent material changes over time curve graph；
ΔQp=CpmΔT
In formula：ΔQPFor the heat in time adjacent segments, CpHold for aerated fluid constant pressure specific heat, m is gel foam fluid material
Expect that sample quality, Δ T are the temperature variation in interval time section；
(5) data processing equipment changes over time curve graph according to the caloric receptivity of gel foam fluent material, generates each
The discrete point diagram of experimental data point X；
(6) conic fitting is carried out using following function formula, obtains matched curve Y；
Q=K1t2+K2t+K3
In formula：Q is the caloric receptivity of aerated fluid material, and t is the heat absorption time of aerated fluid material；Parameter K1、K2、K3's
Specifically calculating process is：
Data fitting is carried out using least square method, if f (x) is original function, g (x) is approximate function, (xi, f (xi))(i
=1 ..., n) it is data point, to make g (x)：
It is minimum；
Above-mentioned known experimental data point (xi, yi) (i=1 ..., n), with quadratic function Q=K1t2+K2t+K3Do approximate fits
Curve, and make the mean square error be
It is minimum；
Thus parameter K is obtained1、K2、K3Value be respectively -1.96,17.75,877.98；
(8) the terminal A and B of matched curve Y are linked to be straight line AB, and obtain the slope K of straight line AB, utilize Suzanne Lenglen
Day mean value theorem, i.e., it is equal with the slope of straight line AB that there are the tangent lines of any on curve, obtains tangent line Z；
(9) point of contact of tangent line Z and matched curve Y is unstability critical point, and the corresponding abscissa time is that unstability is critical
Time Tc；
(10) at the beginning between to unstability crash time TcMatched curve Y is integrated in range, obtains gel foam
The critical caloric receptivity Q of fluent materialc；
(11) according to the unstability crash time T of the gel foam fluent material obtainedcWith critical caloric receptivity Qc(such as Fig. 4 institutes
Show), determine the thermal stability property of gel foam fluent material.
Embodiment 3：
The test method of three-phase froth fluent material thermal stability property, the specific steps are：
(1) three-phase froth fluent material is detected with differential scanning calorimeter, obtains three-phase froth fluent material
DSC curve, the specific heat capacity that three-phase froth fluent material is then drawn according to DSC curve vary with temperature the curve graph of characteristic；
(2) thermal insulation board 1 is opened, three-phase froth fluent material is placed on the test of mine foam fluent material thermal stability property
In small beaker 3 in device, soya-bean oil is then injected in large beaker 2, and the liquid level of soya-bean oil is made to be higher than three-phase froth fluent material
Liquid level, thermal insulation board 1 is placed on to the upper end of large beaker 2 after the completion；
(3) it opens heated at constant temperature instrument 4 to be evenly heated the soya-bean oil in large beaker 2 from room temperature, in large beaker 2
Thermocouple is measured in real time the temperature of soya-bean oil and feeds back to data processing equipment；
(4) thermocouple of the data processing equipment control in small beaker 3 measured three-phase froth fluid material at interval of 3 minutes
The temperature T of material, and it is worth the temperature variation Δ T in each interval time section according to each temperature T measured, in conjunction with specific heat
Hold the curve that varies with temperature, and calculate the absorption thermal data of three-phase froth fluent material using following formula, finally by
The caloric receptivity that data processing equipment fits three-phase froth fluent material changes over time curve graph；
ΔQp=CpmΔT
In formula：ΔQPFor the heat in time adjacent segments, CpHold for aerated fluid constant pressure specific heat, m is three-phase froth fluid material
Expect that sample quality, Δ T are the temperature variation in interval time section；
(5) data processing equipment changes over time curve graph according to the caloric receptivity of three-phase froth fluent material, generates each
The discrete point diagram of experimental data point X；
(6) conic fitting is carried out using following function formula, obtains matched curve Y；
Q=K1t2+K2t+K3
In formula：Q is the caloric receptivity of aerated fluid material, and t is the heat absorption time of aerated fluid material；Parameter K1、K2、K3's
Specifically calculating process is：
Data fitting is carried out using least square method, if f (x) is original function, g (x) is approximate function, (xi, f (xi))(i
=1 ..., n) it is data point, to make g (x)：
It is minimum；
Above-mentioned known experimental data point (xi, yi) (i=1 ..., n), with quadratic function Q=K1t2+K2t+K3Do approximate fits
Curve, and make the mean square error be
It is minimum；
Thus parameter K is obtained1、K2、K3Value be respectively -1.19,14.71,1124.05；
(8) the terminal A and B of matched curve Y are linked to be straight line AB, and obtain the slope K of straight line AB, utilize Suzanne Lenglen
Day mean value theorem, i.e., it is equal with the slope of straight line AB that there are the tangent lines of any on curve, obtains tangent line Z；
(9) point of contact of tangent line Z and matched curve Y is unstability critical point, and the corresponding abscissa time is that unstability is critical
Time Tc；
(10) at the beginning between to unstability crash time TcMatched curve Y is integrated in range, obtains three-phase froth
The critical caloric receptivity Q of fluent materialc；
(11) according to the unstability crash time T of the three-phase froth fluent material obtainedcWith critical caloric receptivity Qc(such as Fig. 5 institutes
Show), determine the thermal stability property of three-phase froth fluent material.
Embodiment 4：
The test method of AB component foam fluent material thermal stability properties, the specific steps are：
(1) AB component foam fluent materials are detected with differential scanning calorimeter, obtain AB component foam fluid materials
The DSC curve of material, the specific heat capacity that AB component foam fluent materials are then drawn according to DSC curve vary with temperature the curve of characteristic
Figure；
(2) thermal insulation board 1 is opened, AB component foam fluent materials, which are placed on mine foam fluent material thermal stability property, to be surveyed
Trial assembly set in small beaker 3 in, soya-bean oil is then injected in the large beaker 2, and the liquid level of soya-bean oil is made to be higher than AB component foam fluids
Thermal insulation board 1 is placed on the upper end of large beaker 2 by the liquid level of material after the completion；
(3) it opens heated at constant temperature instrument 4 to be evenly heated the soya-bean oil in large beaker 2 from room temperature, in large beaker 2
Thermocouple is measured in real time the temperature of soya-bean oil and feeds back to data processing equipment；
(4) thermocouple of the data processing equipment control in small beaker 3 measured AB component foam fluids at interval of 3 minutes
The temperature T of material, and be worth the temperature variation Δ T in each interval time section according to each temperature T measured, in conjunction with than
The curve that thermal capacitance varies with temperature, and the following formula of use calculates the absorption thermal data of AB component foam fluent materials, most
The caloric receptivity for fitting AB component foam fluent materials by data processing equipment afterwards changes over time curve graph；
ΔQp=CpmΔT
In formula：ΔQPFor the heat in time adjacent segments, CpHold for aerated fluid constant pressure specific heat, m is AB component foam fluids
Material sample quality, Δ T are the temperature variation in interval time section；
(5) data processing equipment changes over time curve graph according to the caloric receptivity of AB component foam fluent materials, generates each
The discrete point diagram of a experimental data point X；
(6) conic fitting is carried out using following function formula, obtains matched curve Y；
Q=K1t2+K2t+K3
In formula：Q is the caloric receptivity of aerated fluid material, and t is the heat absorption time of aerated fluid material；Parameter K1、K2、K3's
Specifically calculating process is：
Data fitting is carried out using least square method, if f (x) is original function, g (x) is approximate function, (xi, f (xi))(i
=1 ..., n) it is data point, to make g (x)：
It is minimum；
Above-mentioned known experimental data point (xi, yi) (i=1 ..., n), with quadratic function Q=K1t2+K2t+K3Do approximate fits
Curve, and make the mean square error be
It is minimum；
Thus parameter K is obtained1、K2、K3Value be respectively -3.51,27.2,917.86；
(8) the terminal A and B of matched curve Y are linked to be straight line AB, and obtain the slope K of straight line AB, utilize Suzanne Lenglen
Day mean value theorem, i.e., it is equal with the slope of straight line AB that there are the tangent lines of any on curve, obtains tangent line Z；
(9) point of contact of tangent line Z and matched curve Y is unstability critical point, and the corresponding abscissa time is that unstability is critical
Time Tc；
(10) at the beginning between to unstability crash time TcMatched curve Y is integrated in range, show that AB components are steeped
The critical caloric receptivity Q of foam fluent materialc；
(11) according to the unstability crash time T of the AB component foam fluent materials obtainedcWith critical caloric receptivity Qc(such as Fig. 6 institutes
Show), determine the thermal stability property of AB component foam fluent materials.
Claims (4)
1. a kind of mine foam fluent material thermal stability property test device, which is characterized in that including constant temperature heating device, big burning
Cup, small beaker, temperature measuring equipment (5) and data processing equipment, constant temperature heating device are equipped with asbestos gauge, and large beaker (2) is placed on
On asbestos gauge, small beaker (3) is in large beaker (2) inside, and the temperature measuring equipment is two thermocouples, and two thermocouples are put respectively
It sets in large beaker (2) and small beaker (3), two thermocouples are connect with data processing equipment, and the upper end of large beaker (2) is equipped with
Thermal insulation board (1).
2. a kind of mine foam fluent material thermal stability property test device according to claim 1, which is characterized in that institute
It is computer to state data processing equipment.
3. a kind of mine foam fluent material thermal stability property test device according to claim 1, which is characterized in that institute
It is heated at constant temperature instrument (4) to state constant temperature heating device.
4. a kind of test method using mine foam fluent material thermal stability property test device described in claim 1,
It is characterized in that, the specific steps are：
(1) one of which aerated fluid material is detected with differential scanning calorimeter, show that aerated fluid material DSC is bent
Line, the specific heat capacity that aerated fluid material is then drawn according to DSC curve vary with temperature the curve graph of characteristic；
(2) thermal insulation board (1) is opened, aerated fluid material is placed in mine foam fluent material thermal stability property test device
Small beaker (3) in, soya-bean oil is then injected in the large beaker (2), and the liquid level of soya-bean oil is made to be higher than the liquid level of aerated fluid material,
Thermal insulation board (1) is placed on to the upper end of large beaker (2) after the completion；
(3) it opens heated at constant temperature instrument (4) to be evenly heated the soya-bean oil in large beaker (2) from room temperature, in large beaker (2)
Thermocouple the temperature of soya-bean oil is measured in real time and feeds back to data processing equipment；
(4) thermocouple of the data processing equipment control in small beaker (3) measures aerated fluid material at interval of same time
Temperature T, and be worth the temperature variation Δ T in each interval time section according to each temperature T measured, in conjunction with specific heat capacity
The curve varied with temperature, and the following formula of use calculates the absorption thermal data of aerated fluid material, finally by data
The caloric receptivity that reason device fits this kind of aerated fluid material changes over time curve graph；
ΔQp=CpmΔT
In formula：ΔQPFor the heat in time adjacent segments, CpHolding for aerated fluid constant pressure specific heat, m is aerated fluid sample quality,
Δ T is the temperature variation in interval time section；
(5) it selects different types of aerated fluid material to repeat step (1) to (4), obtains the heat absorption of various aerated fluid materials
Amount changes over time curve graph；
(6) data processing equipment changes over time curve graph according to the caloric receptivity of aerated fluid material, generates each experimental data
The discrete point diagram of point X；
(7) conic fitting is carried out using following function formula, obtains matched curve Y；
Q=K1t2+K2t+K3
In formula：Q is the caloric receptivity of aerated fluid material, and t is the heat absorption time of aerated fluid material；Parameter K1、K2、K3It is specific
Calculating process is：
Data fitting is carried out using least square method, if f (x) is original function, g (x) is approximate function, (xi, f (xi)) (i=
1 ..., n) it is data point, to make g (x)：
It is minimum；
Above-mentioned known experimental data point (xi, yi) (i=1 ..., n), with quadratic function Q=K1t2+K2t+K3Do approximate fits song
Line, and make the mean square error be
It is minimum；
Thus parameter K is obtained1、K2、K3Value；
(8) the terminal A and B of matched curve Y are linked to be straight line AB, and obtain the slope K of straight line AB, using in Suzanne Lenglen day
It is worth theorem, i.e., it is equal with the slope of straight line AB that there are the tangent lines of any on curve, obtains tangent line Z；
(9) point of contact of tangent line Z and matched curve Y is unstability critical point, and the corresponding abscissa time is the unstability crash time
Tc；
(10) at the beginning between to unstability crash time TcMatched curve Y is integrated in range, obtains various aerated fluid materials
The critical caloric receptivity Q of materialc；
(11) according to the unstability crash time T of the various aerated fluid materials obtainedcWith critical caloric receptivity Qc, determine various foams
The thermal stability property of fluent material.
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