ARTICLE
Heat transfer in a thin metal film subjected to the ultra-short laser pulse modeled by a nonlinear two-temperature model
,

More details
Hide details
1
Silesian University of Technology, Department of Computational Mechanics and Engineering, Gliwice, Poland

These authors had equal contribution to this work

Submission date: 2023-11-03

Final revision date: 2023-12-14

Acceptance date: 1023-12-18

Online publication date: 2024-04-18

Publication date: 2024-04-30

Corresponding author
Jolanta Dziatkiewicz

Department of Computational Mechanics and Engineering, Silesian University of Technology, Konarskiego 18A, 44-100, Gliwice, Poland

Journal of Theoretical and Applied Mechanics 2024;62(2):403-413

KEYWORDS
TOPICS
ABSTRACT
The heating of a thin metal film subjected to the ultra-short laser pulse is presented. Mathe- matical description of this process is based on the system of equations describing the electron and lattice temperatures and dependences between intensity of heat fluxes and temperature gradients supplemented by appropriate boundary and initial conditions. In this approach, a system of four equations needs to be solved. In this paper, another method of solution of the above formulated problem is proposed. Using appropriate mathematical manipulations, instead of four equations, two equations describing the lattice and electron temperature dis- tributions are obtained. This system of two equations is solved using an implicit scheme of the finite difference method. The results obtained using both approaches were compared. They were almost identical, which confirms the correctness of the proposed method.

REFERENCES (21)
1.
Alexopoulou, V.E., Markopoulos A.P., 2023, A critical assessment regarding two-temperature models: an investigation of the different forms of two-temperature models, the various ultrashort pulsed laser models and computational methods, Archives of Computational Methods in Engineering, 31, 93-123.

2.
Anisimov S.I., Kapeliovich B.L., Perel’man T.L., 1974, Electron emission from metal surfaces exposed to ultrashort laser pulses, Zhurnal Eksperimental’noi i Teroreticheskoi Fiziki, 66, 776-781.

3.
Chen J.K., Beraun J.E., 2001, Numerical study of ultrashort laser pulse interactions with metal films, Numerical Heat Transfer, Part A, 40, 1-20.

4.
Chen G., Borca-Tasciuc D., Yang R.G., 2004, [In:] Encyclopedia of Nanoscience and Nanotechnology, Hari Singh Nalwa (Ed.), American Scientific Publishers: Stevenson Ranch, 7, 429-459.

5.
Dziatkiewicz J., Kus W., Majchrzak E., Burczyński T., Turchan L., 2014, Bioinspired identification of parameters in microscale heat transfer, International Journal for Multiscale Computational Engineering, 12, 1, 79-89.

6.
Huang J., Baheti K., Chen J. K., Zhang Y., 2011, An axisymmetric model for solid-liquid-vapor phase change in thin metal films induced by an ultrashort laser pulse, Frontiers in Heat and Mass Transfer, 2, 1, 1-10.

7.
Huang J., Zhang Y., Chen J.K., 2009, Ultrafast solid-liquid-vapor phase change in a thin gold film irradiated by multiple femtosecond laser pulses, International Journal of Heat and Mass Transfer, 52, 3091-3100.

8.
Lin Z., Zhigilei L.V., Celli V., 2008, Electron-phonon coupling and electron heat capacity of metals under conditions of strong electron-phonon nonequilibrium, Physical Review B, 77, 075133-1-0.75133-17.

9.
Majchrzak E., Dziatkiewicz J., 2015, Analysis of ultrashort laser pulse interactions with metal films using a two-temperature model, Journal of Applied Mathematics and Computational Mechanics, 14, 2, 31-39.

10.
Majchrzak E., Dziatkiewicz J., 2019, Second-order two-temperature model of heat transfer processes in a thin metal film subjected to an ultrashort laser pulse, Archives of Mechanics, 71, 4-5, 377-391.

11.
Majchrzak E., Dziatkiewicz J., Turchan L., 2017, Analysis of thermal processes occuring in the microdomain subjected to the ultrashort laser pulse using the axisymmetric two-temperature model, International Journal for Multiscale Computational Engineering, 15, 5, 395-411.

12.
Niu T., Dai W.A., 2009, A hyperbolic two-step model based finite difference scheme for studying thermal deformation in a double-layered thin film exposed to ultrashort-pulsed lasers, International Journal of Thermal Sciences, 48, 34-49.

13.
Oane M., Mihailescu I.N., Sava B., 2019, The linearized Fourier thermal model applied to Au nanoparticles 1D and 2D lattices under intense nanoseconds laser irradiation pulses, Journal of Material Sciences and Engineering, 8, 1, 1-6.

14.
Qiu T.Q., Tien C.L., 1993, Heat transfer mechanisms during short-pulse laser heating of metals, Journal of Heat Transfer, 115, 835-841.

15.
Smith A.N., Norris P.M., 2003, [In:] Heat Transfer Handbook, Adrian Bejan (Ed.), John Wiley & Sons, Hoboken, 1309-1409.

16.
Saghebfar M., Tehrani M.K., Darbani S.M.R., Majd A.E., 2017, Femtosecond pulse laser irradiation of gold/chromium double-layer metal film: The role of interface boundary resistance in two-temperature model simulations, Thin Solid Films, 636, 464-473.

17.
Sobolev S.L., 2016, Nonlocal two-temperature model: Application to heat transport in metals irradiated by ultrashort laser pulses, International Journal of Heat and Mass Transfer, 94, 138-144.

18.
Tzou D.Y., 1997, Macro- to Microscale Heat Transfer. The Lagging Behavior, Taylor and Francis.

19.
Wang H., Dai W., Hewavitharana L.G., 2008, A finite difference method for studying thermal deformation in a double-layered thin film with imperfect interfacial contact exposed to ultrashort pulsed lasers, International Journal of Thermal Sciences, 47, 7-24.

20.
Wang H., Dai W., Melnik R.A., 2006, Finite difference method for studying thermal deformation in a double-layered thin film exposed to ultrashort pulsed lasers, International Journal of Thermal Sciences, 45, 1179-1196.

21.
Zhang Z.M., 2007, Nano/microscale Heat Transfer, McGraw-Hill, New York.

 eISSN: 2543-6309 ISSN: 1429-2955