Measurement of Thermal Diffusivity Using Deformation Gradient and Phase in the Photothermal Displacement Technique

  • Pilsoo Jeon (Department of Mechanical Engineering, Graduate School, Ajou University) ;
  • Lee, Kwangjai (Department of Mechanical Engineering, Graduate School, Ajou University) ;
  • Jaisuk Yoo (Division of Mechanical and Industrial Engineering, Ajou University) ;
  • Park, Youngmoo (Division of Mechanical and Industrial Engineering, Ajou University) ;
  • Lee, Jonghwa (Division of Mechanical and Industrial Engineering, Ajou University)
  • Published : 2003.12.01

Abstract

As technology advances with development of new materials, it is important to measure the thermal diffusivity of material and to predict the heat transfer in the solid subject to thermal processes. The measurement of thermal properties can be done in a non-contact way using photothermal displacement spectroscopy. In this work, the thermal diffusivity was measured by analyzing the magnitude and phase of deformation gradient. We proposed a new data analysis method based on the real part of deformation gradient as the pump-probe offset value. As the result, compared with the literature value, the measured thermal diffusivities of materials showed about 3 % error.

Keywords

References

  1. Balageas, D. L., Krapez, J. C. and Cielo, P., 1986, 'Pulsed photothermal modeling of layered materials,' J. Appl. Phys., Vol. 59, No.2, pp. 348-357 https://doi.org/10.1063/1.336690
  2. Bayazitoglu, Y. and Ozisik, M., 1988, Elements of Heat Transfer, McGraw Hill, New York
  3. Chen, Z. and Mandelis, A., 1992, 'Thermal diffusivity measurements of ultrahigh thermal conductors with use of scanning photothermal ratewindow spectrometry: Chemical-vapor-deposition diamonds,' Phys. Rev. B, Vol. 46, pp. 13526-13538 https://doi.org/10.1103/PhysRevB.46.13526
  4. Cheng, J. C. and Zhang, S. Y., 1991, 'Threedimensional theory to study photothermal phenomena of semiconductors. I. Modulated optical reflectance,' J. Appl. Phys., Vol. 70, No. 11, pp.6999-7006 https://doi.org/10.1063/1.349802
  5. Jeon, P. S., Lee, K. J., Yoo, J. S., Park, Y. M. and Lee, J. H., 2002, 'Measurement of thermal diffusivity using deformation angle based on the photothermal displacement method,' Transactions of the KSME, B, Vol. 26, No.2, pp. 302-309 https://doi.org/10.3795/KSME-B.2002.26.2.302
  6. Nowacki, W., 1986, Thermoelasticity, 2nd ed, Pergamon Press
  7. Ogawa., E. T., Hu, C. and Ho, R. S., 1999, 'Thermal diffusivity measurement of polymer thin films using the photothermal displacement technique. I. Free-standing film case,' J. Appl. Phys., Vol. 86, No. 11, pp. 6018-6027 https://doi.org/10.1063/1.371649
  8. Olmstead, M. A., Amer, N. M. and Kohn, S., 1983, 'Photothermal Displacement Spectroscopy: An Optical Probe for Solids and Surfaces,' Appl. Phys. A, Vol. 32, pp. 141-154 https://doi.org/10.1007/BF00616610
  9. Salazar, A., Sanchez-Lavega, A. and Fernandez, J., 1989, 'Theory of thermal diffusivity determination by the 'mirage' technique in solids', J. Appl. Phys., Vol. 65, pp.4150-4156 https://doi.org/10.1063/1.343320
  10. Salazar, A., Sanchez-Lavega, A. and Fernandez, J., 1991, 'Thermal diffusivity measurements in solids by the mirage technique: experimental results,' J. Appl. Phys., Vol. 69, No.3, pp. 1216-1223 https://doi.org/10.1063/1.347306
  11. Shackelford, J. F., 2000, CRC Material Science and Engineering Handbook, 3rd ed, CRC Press