Application of sensitivity analysis in microscale heat transfer

  • Ewa Majchrzak Institute of Computational Mechanics and Engineering, Silesian University of Technology, Gliwice
  • Jolanta Dziatkiewicz Institute of Computational Mechanics and Engineering, Silesian University of Technology, Gliwice
  • Grażyna Kałuża Institute of Computational Mechanics and Engineering, Silesian University of Technology, Gliwice

Abstract

In the paper, the thin metal film subjected to the ultrashort laser pulse has been analyzed. The heat conduction in the domain considered has been described by two-temperature model consisting of the system of two coupled parabolic equations determining the electron and lattice temperatures. The sensitivity analysis of electron and lattice temperatures with respect to the parameters appearing in mathematical description has been discussed. In particular, the changes of temperatures due to the changes of coupling factor G and the film thickness L have been estimated. At the stage of numerical computations in a case of basic as well as sensitivity problems solutions the explicit scheme of finite difference method has been used. In the final part of the paper the results of computations have been shown.

Keywords

microscale heat transfer, two-temperature model, sensitivity analysis, finite difference method,

References

[1] M.A. All-Nimr. Heat transfer mechanisms during short duration laser heating of thin metal films. International Journal of Thermophysics, 18(5): 1257–1268, 1997.
[2] J.K. Chen, J.E. Beraun. Numerical study of ultrashort laser pulse interactions with metal films. Numerical Heat Transfer, Part A, 40: 1–20, 2001.
[3] W. Dai, R. Nassar. A compact finite difference scheme for solving a one-dimensional heat transport equation at the microscale. Journal of Computational and Applied Mathematics, 132: 431–441, 2001.
[4] K. Dems, B. Rousselet. Sensitivity analysis for transient heat conduction in a solid body. Structural Optimization, 17: 36–45, 1999.
[5] E. Kannattey-Asibu Jr. Principles of laser materials processing. John Wiley & Sons, Inc., Hoboken, New Jersey, 2009.
[6] M. Kleiber. Parameter sensitivity in nonlinear mechanics. J. Wiley & Sons Ltd., London, 1997.
[7] Z. Lin, L.V. Zhigilei. Electron-phonon coupling and electron heat capacity of metals under conditions of strong electron-phonon nonequilibrium. Physical Review, B77: 075133-1-075133-17, 2008.
[8] E. Majchrzak, M. Jasiński, G. Kałuża. Sensitivity analysis of solidification with respect to the mould thickness. Archives of Foundry, 3(9): 305–310, 2003.
[9] E. Majchrzak, J. Poteralska. Numerical analysis of short-pulse laser interactions with this metal film. Archives of Foundry Engineering, 10(4): 123–128, 2010.
[10] T.Q. Qiu, C.L. Tien. Femtosecond laser heating of multi-layer metals – I Analysis. International Journal of Heat and Mass Transfer, 37: 2789–2797, 1994.
[11] Z.M. Zhang. Nano/microscale heat transfer. McGraw-Hill, 2007.
Published
Jan 25, 2017
How to Cite
MAJCHRZAK, Ewa; DZIATKIEWICZ, Jolanta; KAŁUŻA, Grażyna. Application of sensitivity analysis in microscale heat transfer. Computer Assisted Methods in Engineering and Science, [S.l.], v. 20, n. 2, p. 113-121, jan. 2017. ISSN 2956-5839. Available at: <https://cames-old.ippt.pan.pl/index.php/cames/article/view/72>. Date accessed: 26 apr. 2025. doi: http://dx.doi.org/10.24423/cames.72.
Section
Articles