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Thermal contact conductance as a method of rectification in bulk materials

Heat Transfer Research

Sayer, Robert S.

A thermal rectifier that utilizes thermal expansion to directionally control interfacial conductance between two contacting surfaces is presented. The device consists of two thermal reservoirs contacting a beam with one rough and one smooth end. When the temperature of reservoir in contact with the smooth surface is raised, a similar temperature rise will occur in the beam, causing it to expand, thus increasing the contact pressure at the rough interface and reducing the interfacial contact resistance. However, if the temperature of the reservoir in contact with the rough interface is raised, the large contact resistance will prevent a similar temperature rise in the beam. As a result, the contact pressure will be marginally affected and the contact resistance will not change appreciably. Owing to the decreased contact resistance of the first scenario compared to the second, thermal rectification occurs. A parametric analysis is used to determine optimal device parameters including surface roughness, contact pressure, and device length. Modeling predicts that rectification factors greater than 2 are possible at thermal biases as small as 3 K. Additionally, thin surface coatings are discussed as a method to control the temperature bias at which maximum rectification occurs.

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Generalized Procedure for Improved Accuracy of Thermal Contact Resistance Measurements for Materials With Arbitrary Temperature-Dependent Thermal Conductivity

Heat Transfer Engineering

Sayer, Robert S.

Thermal contact resistance (TCR) is most commonly measured using one-dimensional steady-state calorimetric techniques. In the experimental methods we utilized, a temperature gradient is applied across two contacting beams and the temperature drop at the interface is inferred from the temperature profiles of the rods that are measured at discrete points. During data analysis, thermal conductivity of the beams is typically taken to be an average value over the temperature range imposed during the experiment. Our generalized theory is presented and accounts for temperature-dependent changes in thermal conductivity. The procedure presented enables accurate measurement of TCR for contacting materials whose thermal conductivity is any arbitrary function of temperature. For example, it is shown that the standard technique yields TCR values that are about 15% below the actual value for two specific examples of copper and silicon contacts. Conversely, the generalized technique predicts TCR values that are within 1% of the actual value. The method is exact when thermal conductivity is known exactly and no other errors are introduced to the system.

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Modified data analysis for thermal conductivity measurements of polycrystalline silicon microbridges using a steady state Joule heating technique

Review of Scientific Instruments

Sayer, Robert S.; Piekos, Edward S.; Phinney, Leslie M.

Accurate knowledge of thermophysical properties is needed to predict and optimize the thermal performance of microsystems. Thermal conductivity is experimentally determined by measuring quantities such as voltage or temperature and then inferring a thermal conductivity from a thermal model. Thermal models used for data analysis contain inherent assumptions, and the resultant thermal conductivity value is sensitive to how well the actual experimental conditions match the model assumptions. In this paper, a modified data analysis procedure for the steady state Joule heating technique is presented that accounts for bond pad effects including thermal resistance, electrical resistance, and Joule heating. This new data analysis method is used to determine the thermal conductivity of polycrystalline silicon (polysilicon) microbridges fabricated using the Sandia National Laboratories SUMMiT V™ micromachining process over the temperature range of 77-350 K, with the value at 300 K being 71.7 ± 1.5 W/(m K). It is shown that making measurements on beams of multiple lengths is useful, if not essential, for inferring the correct thermal conductivity from steady state Joule heating measurements. © 2012 American Institute of Physics.

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Thermal rectification in bulk materials using rough contacts: A thermal diode

ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)

Sayer, Robert S.

Thermal rectification occurs when a device permits heat to flow preferentially in one direction direction while restricting it in the opposite direction. Thermal rectification can occur whenever an asymmetry is present in a device, and has been demonstrated to arise in bulk materials that have asymmetric geometry, in the contact of two materials with different thermal properties and in nanomaterials. Herein, a thermal diode that utilizes thermal expansion to directionally control interfacial conductance between two contacting surfaces is presented. Essentially, the device consists of two thermal reservoirs contacting a beam with one rough and one smooth end. When the temperature of reservoir in contact with the smooth surface is raised, a similar temperature rise will occur in the beam, causing it to expand, thus increasing the contact pressure at the rough interface and reducing the interfacial contact resistance. However, if the temperature of the reservoir in contact with the rough interface is raised, the large contact resistance will prevent a similar temperature rise in the beam. As a result, the contact pressure will be marginally affected and the contact resistance will not change appreciably. Owing to the decreased contact resistance of the first scenario compared to the second, thermal rectification occurs. A parametric analysis is used to determine optimal device parameters including surface roughness, contact pressure and device length. Modeling predicts rectification factors greater than 2 are possible at thermal biases as small as 3 K. Copyright © 2012 by ASME.

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Thermal rectification in bulk materials using rough contacts: A thermal diode

ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)

Sayer, Robert S.

Thermal rectification occurs when a device permits heat to flow preferentially in one direction direction while restricting it in the opposite direction. Thermal rectification can occur whenever an asymmetry is present in a device, and has been demonstrated to arise in bulk materials that have asymmetric geometry, in the contact of two materials with different thermal properties and in nanomaterials. Herein, a thermal diode that utilizes thermal expansion to directionally control interfacial conductance between two contacting surfaces is presented. Essentially, the device consists of two thermal reservoirs contacting a beam with one rough and one smooth end. When the temperature of reservoir in contact with the smooth surface is raised, a similar temperature rise will occur in the beam, causing it to expand, thus increasing the contact pressure at the rough interface and reducing the interfacial contact resistance. However, if the temperature of the reservoir in contact with the rough interface is raised, the large contact resistance will prevent a similar temperature rise in the beam. As a result, the contact pressure will be marginally affected and the contact resistance will not change appreciably. Owing to the decreased contact resistance of the first scenario compared to the second, thermal rectification occurs. A parametric analysis is used to determine optimal device parameters including surface roughness, contact pressure and device length. Modeling predicts rectification factors greater than 2 are possible at thermal biases as small as 3 K. Copyright © 2012 by ASME.

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19 Results
19 Results