0
TECHNICAL PAPERS: Radiative Heat Transfer

An Integral Equation for the Dual-Lag Model of Heat Transfer

[+] Author and Article Information
Vladimir V. Kulish

School of Mechanical & Production Engineering, Nanyang Technological University, 50 Nanyang Ave., Singapore 639798

Vasily B. Novozhilov

Faculty of Engineering, University of Ulster, Shore Rd., Newtownabbey, Co. Antrim, BT37 0QB, United Kingdom

J. Heat Transfer 126(5), 805-808 (Nov 16, 2004) (4 pages) doi:10.1115/1.1797034 History: Received October 22, 2002; Revised June 03, 2004; Online November 16, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.

References

Brorson,  S. D., Kazeroonian,  A., Moodera,  J. S., Face,  D. W., Cheng,  T. K., Ippen,  E. P., Dresselhaus,  M. S., and Dresselhaus,  G., 1990, “Femtosecond Room Temperature Measurement of the Electron-Proton Coupling Constant in Metallic Superconductors,” Phys. Rev. Lett., 64, pp. 2172–2175.
Qiu,  T. Q., and Tien,  C. L., 1994, “Femtosecond Laser Heating of Multilayered Metals—I. Analysis,” ASME J. Heat Transfer, 37, pp. 2789–2797.
Kulish,  V. V., Lage,  J. L., Komarov,  P. L., and Raad,  P. E., 2001, “Fractional-Diffusion Theory for Calculating Thermal Properties of Thin Films From Surface Transient Thermoreflectance Measurements,” ASME J. Heat Transfer, 123(6), pp. 1133–1138.
Cattaneo,  C., 1958, “A Form of Heat Conduction Equation Which Eliminates the Paradox of Instantaneous Propagation,” Compte Rendus,247, pp. 431–433.
Tzou, D. Y., 1997, Macro to Microscale Heat Transfer: The Lagging Behavior, Taylor & Francis.
Abramowicz, M., and Stegun, I. A., 1964, Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables, Dover, New York.
Kulish,  V. V., and Lage,  J. L., 2000, “Fractional-Diffusion Solutions for Transient Local Temperature and Heat Flux,” ASME J. Heat Transfer, 122, pp. 372–376.
Brorson,  S. D., Fujimoto,  J. G., and Ippen,  E. P., 1987, “Femtosecond Electron Heat-Transport Dynamics in Thin Gold Film,” Phys. Rev. Lett., 59, pp. 1962–1965.
Qiu,  T. Q., Juhasz,  T., Suarez,  C., Bron,  W. E., and Tien,  C. L., 1994, “Femtosecond Laser Heating of Multilayered Metals—II. Experiments,” Int. J. Heat Mass Transfer, 37, pp. 2799–2808.

Figures

Grahic Jump Location
Laser impulse for the test case
Grahic Jump Location
Normalized surface temperature obtained for a bulk sample of gold (Au) in the case of the dual (B) phase lag, and classical energy equation (D)
Grahic Jump Location
Time evolution of the surface temperature for different values of the phase lags: (B) Δτ=−88.5422 ps (τq=0.7438 ps,τT=89.286 ps)—base case; (F) Δτ=−97.3964 ps; (D) Δτ=−79.6880 ps
Grahic Jump Location
Comparison between the numerical solution and experimental data

Tables

Errata

Discussions

Related

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 Journal Articles
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