Measuring Thermal Conductivity
Knowing a ceramic material's thermal conductivity can be key to obtaining the optimum performance for a particular application. Ceramic refractories are used as furnace linings because they both withstand the desired temperature and have high insulating capabilities, enabling manufacturers of heat-related products to reduce their energy consumption. Ceramic tiles are used in the heat shield of space shuttles because they can withstand extraordinary temperatures during re-entry into earth’s atmosphere, thereby preventing damage to essential components inside the spacecraft. In modern gas turbine power stations, ceramic coatings (typically stabilized zirconia) are used on the turbine blades to protect the blades against corrosion and to lower the thermal load on the metallic substrate material. And in the microelectronics industry, ceramics have become key components due to their ability to act as efficient heat sinks, preventing heat damage in integrated circuits and other electronic devices.
Further expanding the use of ceramic materials into heat-related markets requires accurate measurement of their thermophysical characteristics. While a number of new testing methods and systems have been developed over the past several decades, not every method is suitable for every application. To achieve accurate values, the right test method must be selected based on the thermal conductivity range of the material and the sample configuration.
Theoretical Basis and DefinitionsHeat can be transferred to a medium in three different ways: convection, radiation and conduction. Convection is primarily used for fluids and gases and does not play an important role in heating solids and porous materials.
Heat transfer by radiation has to be considered for translucent or transparent ceramic materials, especially at high temperatures. Besides the optical properties of the material, boundary conditions can also influence the heat transfer in a part. Details of radiative heat transfer have been published elsewhere.1
In modern electronic components and ceramics used for heat sinks, dynamic (transient) processes often occur. Describing these dynamic heat transfer phenomena requires a more complex mathematical model that will not be discussed here.
Measuring DevicesA variety of methods and instruments can be used to determine thermal conductivity. Instruments that use the steady-state conditions described in the Fourier equation are primarily suitable for analyzing materials with low or average thermal conductivities at moderate temperatures. Instruments based on dynamic (transient) methods, such as the hot-wire or flash diffusivity methods, are used to characterize materials with a high thermal conductivity and/or for measurements at high temperatures.
Steady-State MethodsHeat Flow Meters. For this process, a square sample with a well-defined thickness (usually 30 cm in length and width and 10 cm thick) is inserted between two plates, and a fixed temperature gradient is established. The heat flow through the sample is measured with calibrated heat flow sensors that are in contact with the sample at the plate interface. The thermal conductivity is determined by measuring the thickness, the temperature gradient and the heat flow through the sample.
Figure 1 shows a modern heat flow meter. Samples can be up to 10 cm thick with a length and width between 30 and 60 cm. This method can successfully test materials with thermal conductivities between 0.005 and 0.5 W/m◊K and is typically used to determine the thermal conductivities and k-factors of fiberglass insulation or insulation boards. Depending on the type of instrument used, measurements between -20 and 100?C are possible. Advantages of this method include easy handling, accurate test results and fast measurements, while disadvantages include its limited temperature and measurement range.
Guarded Heat Flow Meters. For larger samples that require a higher measurement range, guarded heat flow meters can be used. The measurement principle is nearly the same as with regular heat flow meters, but the test section is surrounded by a guard heater, resulting in higher measurement temperatures. Additionally, higher thermal conductivities can be measured with this method.
Figure 4 shows the thermal conductivity of a fiberboard material versus packing density. It can clearly be seen that the thermal conductivity increases with lower densities. This can be explained by the increased radiative and/or convective heat transfer. At 18 kg/m3, a minimum is visible in the thermal conductivity, representing the optimum packing value for this kind of material. At densities above 18 kg/m3, the thermal conductivity increases again. Here, the contribution of the thermal conductivity in the fibers becomes increasingly dominant.
Dynamic (Transient) Measuring MethodsTransient measuring methods have become established in the last few decades for studying materials with high thermal conductivities and for taking measurements at high temperatures. Besides their high precision and broad measuring range, transient methods feature a comparably simple sample preparation and the ability to measure up to 2000C.
Hot-Wire Method. In the hot-wire method, a wire is embedded in a sample, generally a large brick. During the test run, a constant heating power is applied to this wire, causing the temperature of the wire to rise. The temperature increase is measured versus time at the heating wire itself or at a well-defined distance parallel to the wire. Because this measurement depends on the thermal conductivity of the tested materials, it provides an evaluation of this thermal conductivity.
Various methods can be used to measure the temperature rise of the wire. With the cross-wire method, the temperature increase is measured with a thermocouple that is directly welded onto the hot wire. With the parallel-wire method, the temperature increase is measured in a defined distance to the hot wire. With the T(R)-method, the heating wire itself is used to measure the temperature increase. Here, the well-known correlation between the electrical resistance of the hot wire (which is typically platinum) and the temperature is used.
The magnitude of the thermal conductivity to be measured is an important consideration in selecting the right method. The cross-wire method is suitable for measuring thermal conductivities below 2 W/mK, while the T(R) and parallel-wire methods are used for materials with higher thermal conductivities (15 and 20 W/mK, respectively).
Some instruments allow the use of all three methods. In one such instrument,* tests can be carried out between room temperature and 1500C. During the tests, the sample is brought to the required temperature. After the sample temperature has stabilized, the hot wire test can be run. This method provides the ability to measure large samples and characterize inhomogeneous ceramic materials and refractory products.
This example shows that materials that exhibit low room-temperature thermal conductivity will not necessarily exhibit low thermal conductivity at the application temperature. For this reason, it is important to determine the thermal conductivity versus application temperature when evaluating a refractory material.
Flash Diffusivity Method. Another technique that can be used to investigate highly conductive materials and/or samples with small dimensions is the flash diffusivity method, also known as the laserflash method.3 This method directly measures the thermal diffusivity of a material. If the specific heat and density of the sample are known, thermal conductivity can be determined. The specific heat can be directly measured with flash diffusivity using a comparative method; however, a differential scanning calorimeter is recommended to obtain the highest accuracies. Density and/or density alteration subject to temperature can be determined using dilatometry.4
Using the flash diffusivity method, a plane-parallel sample is run in a furnace to the required test temperature. Afterwards, the front surface of the sample is heated with a short (<1 ms) light pulse produced by a laser or a flash lamp. The heat diffuses through the sample, leading to a temperature rise on the sample’s rear surface. This temperature rise is measured versus time with an infrared detector. It is important to note that only the time-dependent behavior of the measuring signal is decisive, not its height.
Due to its high precision (<3 %) and the small necessary sample geometries, the flash diffusivity method has entered many areas of research and development and quality control in the production of ceramic materials. The success of this method is mainly due to its short measurement times—the instruments can go from room temperature up to 2000?C in less than one day. The flash diffusivity technique can be applied to materials ranging from pressed fiberboards, with thermal conductivities of less than 0.05 W/mK, to diamond, which can have thermal conductivity of more than 2000 W/mK. This method can also be used to measure multilayer-systems, such as the characterization of thermal barrier coatings on turbine blades.
Thermophysical properties such as thermal diffusivity and thermal conductivity often play an important role in the application of ceramic materials. These properties must be measured accurately to avoid quality problems and to ensure the continued market expansion of ceramic products in heat-related applications. While many different methods are available to measure these data with high precision, the material’s expected range of thermal conductivity must be considered to ensure that the right measurement method is used.
For More InformationFor more information about measuring thermal conductivity, contact NETZSCH-Geratebau GmbH, Wittelsbacherstr. 42 95100 Selb/Bavaria, Germany; (49) 9287-881-49; fax (49) 9287-881-44; e-mail firstname.lastname@example.org; or visit http://www.ngb.netzsch.com. (U.S. contact: NETZSCH Instruments, Inc., 37 North Ave., Burlington, MA 01803; (781) 272-5353; fax (781) 272-5225; e-mail email@example.com; http://www.e-Thermal.com.)
*The NETZSCH TCT 426.
**The NETZSCH DSC 404 C.