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ASTM E1530 GUARDED HEAT FLOW METER METHOD
(Technical Note #50)
Anter Corporation's QuickLine -10 and Unitherm Model
2022 both measure thermal conductivity according to the ASTM E1530 guarded
heat flow meter method.
In this equipment, a small sample of the material to be tested is held under
a compressive load between two polished metal surfaces, each controlled at a
different temperature. The lower surface is part of a calibrated heat flux transducer.
As heat flows from the upper surface through the sample to the lower surface,
an axial temperature gradient is established in the stack. By measuring the temperature
difference across the sample along with the output from the heat flux transducer,
thermal conductivity of the sample can be determined when the thickness is known.
In the Model 2022, a guard furnace
surrounds the test stack to reduce the effect of heat transfer across the edges
of the sample which would cause an error in the measurement. The QuickLine -10 tests
at room temperature only and therefore does not require a guard furnace.
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At thermal equilibrium, the Fourier heat flow equation applied to the test stack becomes:
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Rs |
= F [ (Tu - Tl )/ Q ] - Rint (1) |
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| where | Rs | = thermal resistance of the sample |
| | F | = heat flow transducer calibration factor |
| | Tu | = upper plate surface temperature |
| | Tl | = lower plate surface temperature |
| | Q | = heat flow transducer output |
| | Rint | = interface thermal resistance |
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| The sample thermal conductivity, l, is calculated from |
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| | l | = d / Rs |
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| where | d | = sample thickness |
In equation (1), both F and Rint are obtained during equipment calibration. Equation (1) shows that there is a linear relationship between Rs and DT/Q. On a graph it can be plotted as a straight line with the slope F and y-axis intersection at -Rint. By testing several samples of known thermal conductivity, and thus known Rs, corresponding values for DT/Q can be obtained and plotted on the graph. A best fit straight line through the data points becomes equation (1) and can then be used for subsequent testing of unknown samples.
Guarded Heat Flow Meter Data Analysis
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Although Rint is accounted for in the data analysis, it is important for obtaining high test accuracy that Rint be made as small as possible. This is achieved by using highly polished metal surfaces in contact with the sample, by clamping the sample with a reproducible force, and, if practical, by applying heat transfer compound to the contact surfaces. The axial clamping force is produced in Anter's equipment with a pneumatic cylinder. A pressure regulator ensures reproducible air pressure to the cylinder.
Equation (1) is slightly temperature dependent. Therefore, the Model
2022 must be calibrated at several temperatures resulting in a series
of linear equations. Because the coefficients of equation (1) do not vary much
over the temperature range of the instrument, linear interpolation is permitted
when testing at sample temperatures in between calibration points. To facilitate
the data analysis, Anter Corporation provides software for a PC. The user enters
data from the digital display of the instrument and thermal conductivity is then
automatically computed.
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Rs |
= F [ (Tu - Tl )/ Q ] - Rint (1) |
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| where | Rs | = thermal resistance of the sample |
| | F | = heat flow transducer calibration factor |
| | Tu | = upper plate surface temperature |
| | Tl | = lower plate surface temperature |
| | Q | = heat flow transducer output |
| | Rint | = interface thermal resistance |
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| The sample thermal conductivity, l, is calculated from |
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| | l | = d / Rs |
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| where | d | = sample thickness |
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