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Analysis of Parameter Estimation Possibilities of the Thermal Contact Resistance Using the Laser Flash Method with Two-Layer Specimens

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Abstract

The paper presents a curve-fitting-based calculation of the thermal contact resistance and other parameters (absorbed energy and material properties) from laser flash measurements considering a two-layer specimen (aluminum substrate and stainless-steel film). Sensitivity analysis of different cases was used to examine the sensitivities of the unknown parameters: thermal contact resistance, absorbed energy, specific heat of the film, and thermal conductivity of the film. A nonlinear curve-fitting method was applied to perform the estimation of the unknown parameters using simulated measurements generated by the solution of the direct problem. An extensive analysis was performed to examine which parameters might be estimated simultaneously with the contact resistance for different noise levels of the simulated measurement. It was concluded that in the noiseless case all four unknown parameters can be estimated simultaneously with high accuracy. The noise has a significant effect on the accuracy of the parameter estimation, but even when a reasonable noise level is present, it is still possible to accurately estimate one or two parameters together with the thermal contact resistance.

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References

  1. W.J. Parker, R.J. Jenkins, C.P. Butler, G.L. Abbott, J. Appl. Phys. 32, 1679 (1961)

    Article  ADS  Google Scholar 

  2. J.A. Cape, G.W. Lehman, J. Appl. Phys. 34, 1909 (1963)

    Article  ADS  Google Scholar 

  3. R.D. Cowan, J. Appl. Phys. 34, 926 (1963)

    Article  ADS  Google Scholar 

  4. L.M. Clark III, R.E. Taylor, J. Appl. Phys. 46, 714 (1975)

    Article  ADS  Google Scholar 

  5. ASTM Standard E1461-07: Standard Test Method for Thermal Diffusivity by the Flash Method (ASTM International, West Conshohocken, PA, 2007)

  6. ASTM Standard E2585-09: Standard Practice for Thermal Diffusivity by the Flash Method (ASTM International, West Conshohocken, PA, 2009)

  7. J.V. Beck, K.J. Arnold, Parameter Estimation in Engineering and Science (John Wiley & Sons, New York, 1977)

    MATH  Google Scholar 

  8. B. Rémy, D. Maillet, S. André, Int. J. Thermophys. 19, 951 (1998)

    Article  Google Scholar 

  9. S. Graham, D.L. McDowell, R.B. Dinwiddie, Int. J. Thermophys. 20, 691 (1999)

    Article  Google Scholar 

  10. M.-A. Thermitus, M. Laurent, Int. J. Heat Mass Transfer 40, 4183 (1997)

    Article  MATH  Google Scholar 

  11. G. Gróf, Periodica Polytech. - Mech. Eng. 46/2, 159 (2002)

    Google Scholar 

  12. R.L. McMasters, R.B. Dinwiddie, J. Thermophys. Heat Transfer 24, 818 (2010)

    Article  Google Scholar 

  13. R.E. Taylor, Int. J. Thermophys. 19, 931 (1998)

    Article  Google Scholar 

  14. G.H. He, J.D. Guo, Y.Y. Zhang, B.Q. Wang, B.L. Zhou, Int. J. Thermophys. 21, 535 (2000)

    Article  Google Scholar 

  15. M. Akoshima, T. Tanaka, S. Endo, T. Baba, Y. Harada, Y. Kojima, A. Kawasaki, F. Ono, Jpn. J. Appl. Phys. 50, 11RE01 (2011)

    Article  Google Scholar 

  16. B.-K. Jang, Y. Sakka, N. Yamaguchi, H. Matsubara, H.-T. Kim, J. Alloys Compd. 509, 1045 (2011)

    Article  Google Scholar 

  17. R.C. Campbell, S.E. Smith, R.L. Dietz, Measurements of adhesive bondline effective thermal conductivity and thermal resistance using the laser flash method, in Annual IEEE Semiconductor Thermal Measurement and Management Symposium (1999), pp. 83–97

  18. G. Wei, X. Zhang, F. Yu, K. Chen, Int. J. Thermophys. 27, 235 (2006)

    Article  ADS  Google Scholar 

  19. R.L. McMasters, R.B. Dinwiddie, A. Haji-Sheikh, J. Thermophys. Heat Transfer 21/4, 681 (2007)

    Article  Google Scholar 

  20. N.D. Milošević, M. Raynaud, K.D. Maglić, Int. J. Thermophys. 24, 799 (2003)

    Article  Google Scholar 

  21. Gy. Gróf, Measurement of the Thermal Diffusivity of Single- and Two-Layered Specimens by the Flash Method (Ph.D. Thesis, Budapest University of Technology and Economics, 2002) [in Hungarian]

  22. T.F. Coleman, Y. Li, SIAM J. Optim 6/2, 418 (1996)

    Article  MathSciNet  Google Scholar 

  23. T.F. Coleman, Y. Li, Math. Program. 67/1–3, 189 (1994)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgments

A portion of this study was funded by the Test Resource Management Center (TRMC) T&E/S&T Program through the U.S. Army Program Executive Office for Simulation, Training and Instrumentation’s (PEO STRI) contract number W900KK-08-C-0008. (Any opinions, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of TRMC T&E/S&T Program and/or the PEO STRI). A portion of this study was supported by the grant OTKA 82024.

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Author notes

  1. Balázs Czél

    Present address: Department of Energy Engineering, Budapest University of Technology and Economics, Műegyetem rkp. 3, Budapest, 1111, Hungary

Authors and Affiliations

  1. Department of Mechanical Engineering, The University of Alabama, 290 Hardaway Hall, 7th Avenue, Tuscaloosa, AL, 35401, USA

    Balázs Czél & Keith A. Woodbury

  2. Nanogenesis, A Division of AEgis Technologies Group, 410 Jan Davis Drive, Huntsville, AL, 35806, USA

    Jonathan Woolley

  3. Department of Energy Engineering, Budapest University of Technology and Economics, Műegyetem rkp. 3, Budapest, 1111, Hungary

    Gyula Gróf

Authors
  1. Balázs Czél
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  2. Keith A. Woodbury
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  3. Jonathan Woolley
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  4. Gyula Gróf
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Correspondence to Balázs Czél.

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Czél, B., Woodbury, K.A., Woolley, J. et al. Analysis of Parameter Estimation Possibilities of the Thermal Contact Resistance Using the Laser Flash Method with Two-Layer Specimens. Int J Thermophys 34, 1993–2008 (2013). https://doi.org/10.1007/s10765-013-1496-x

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  • DOI: https://doi.org/10.1007/s10765-013-1496-x

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