Full Content is available to subscribers

Subscribe/Learn More  >

An Efficient Numerical Procedure for Solving Microscale Heat Transport Equation During Femtosecond Laser Heating of Nanoscale Metal Films

[+] Author Affiliations
Illayathambi Kunadian, J. M. McDonough, Ravi Ranjan Kumar

University of Kentucky, Lexington, KY

Paper No. IPACK2005-73376, pp. 773-781; 9 pages
  • ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems collocated with the ASME 2005 Heat Transfer Summer Conference
  • Advances in Electronic Packaging, Parts A, B, and C
  • San Francisco, California, USA, July 17–22, 2005
  • Conference Sponsors: Heat Transfer Division and Electronic and Photonic Packaging Division
  • ISBN: 0-7918-4200-2 | eISBN: 0-7918-3762-9
  • Copyright © 2005 by ASME


An alternative discretization and solution procedure is developed for implicitly solving a microscale heat transport equation during femtosecond laser heating of nanoscale metal films. The proposed numerical technique directly solves a single partial differential equation, unlike other techniques available in the literature which split the equation into a system of two equations and then apply discretization. It is shown by von Neumann stability analysis that the proposed numerical method is unconditionally stable. The numerical technique is then extended to three space dimensions, and an overall procedure for computing the transient temperature distribution during short-pulse laser heating of thin metal films is presented. Douglas-Gunn time-splitting and delta-form Douglas-Gunn time-splitting methods are employed to solve the discretized 3-D equations; a simple argument for stability is given for the split equation. The performance of the proposed numerical scheme will be compared with the numerical techniques available in the literature and it is shown that the new formulation is comparably accurate and significantly more efficient. Finally, it is shown that numerical predictions agree with available experimental data during sub-picosecond laser heating.

Copyright © 2005 by ASME



Interactive Graphics


Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In