Suscripción a Biblioteca: Guest
Portal Digitalde Biblioteca Digital eLibros Revistas Referencias y Libros de Ponencias Colecciones
International Journal for Multiscale Computational Engineering
Factor de Impacto: 1.016 Factor de Impacto de 5 años: 1.194 SJR: 0.554 SNIP: 0.82 CiteScore™: 2

ISSN Imprimir: 1543-1649
ISSN En Línea: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2014007963
pages 79-89

BIOINSPIRED IDENTIFICATION OF PARAMETERS IN MICROSCALE HEAT TRANSFER

Jolanta Dziatkiewicz
Faculty of Mechanical Engineering, Institute of Computational Mechanics and Engineering, Silesian University of Technology, Poland
Waclaw Kus
Institute of Computational Mechanics and Engineering, Silesian University of Technology, ul. Konarskiego 18a, 44-100 Gliwice, Poland
Ewa Majchrzak
Institute of Computational Mechanics and Engineering, Silesian University of Technology, ul. Konarskiego 18a, 44-100 Gliwice, Poland
Tadeusz Burczynski
Institute of Fundamental Technological Research, Polish Academy of Sciences
Lukasz Turchan
Faculty of Mechanical Engineering, Institute of Computational Mechanics and Engineering, Silesian University of Technology, Poland

SINOPSIS

The paper is devoted to the identification of microscale heat-transfer parameters. The numerical modeling of short-pulse laser interaction with thin metal films is considered. The hyperbolic two-temperature model describing the temporal and spatial evolution of the lattice and electrons temperatures in the irradiated metal is applied. This model consists of four equations: two equations concern the electron and lattice temperatures; the later ones determine the dependencies between heat fluxes and temperatures. The short-pulse laser interaction with the film is taken into account by introducing an internal volumetric heat source to the equation describing the electron temperature. The equations concerning the electrons and lattice temperatures are joined by coupling factor G, which characterizes the energy exchange between phonons and electrons. The relations between electron heat flux and electron temperature and between the lattice heat flux and lattice temperature contain the parameters ?e and ?l, respectively. The parameter ?e is the relaxation time of free electrons in metals; the parameter ?l is the relaxation time in phonon collisions. The one-dimensional problem is analyzed. (Heat transfer in the direction perpendicular to the thin film is taken into account.) The nonflux conditions can be accepted at the front surface irradiated by a laser pulse and the back surface. The initial conditions are also assumed. The direct problem is solved by the explicit scheme of the finite difference method. The results of the computations are partially compared with the experimental data available in literature. The inverse problem discussed here consists in the simultaneous identification of three parameters, namely, the coupling factor G and relaxation times ?e and ?l. To solve such a problem, the electron temperature history at the irradiated surface of the thin film is taken into account. The inverse problems can be formulated as optimization problems and solved by means of bioinspired algorithms. The objective function is formulated on the basis of the known measured and numerical simulated values of temperature. The minimization of the objective function allows one to find the design variables vector, which may contain the parameters of the coupling factor and time coefficients in the presented case. The inverse problems are ill-defined problems, and the identification may lead to different results with the same objective function value. The objective function can have many local minima, and therefore the bioinspired algorithm is used in the paper.

REFERENCIAS

  1. Burczyński, T. and Kuś, W., Microstructure optimisation and identification in multiscale modeling. DOI: 10.1007/978-1-4020-9231-2_12

  2. Burczyński, T., Kuś, W., and Brodacka, A., Multiscale modeling of osseous tissues.

  3. Burczyński, T., Bereta, M., Poteralski, A., and Szczepanik, M., Immune computing: Intelligent methodology and its applications in bioengineering and computational mechanics. DOI: 10.1007/978-3-642-05241-5_9

  4. Chen, G., Borca-Tasciuc, D., and Yang, R. G., Nanoscale heat transfer.

  5. Chen, J. K. and Beraun, J. E., Numerical study of ultrashort laser pulse interactions with metal films. DOI: 10.1080/104077801300348842

  6. de Castro, L. N. and Timmis, J., Artificial immune systems as a novel soft computing paradigm. DOI: 10.1007/s00500-002-0237-z

  7. de Castro, L. N. and von Zuben, F. J., Learning and optimization using the clonal selection principle. DOI: 10.1109/TEVC.2002.1011539

  8. Długosz, A., Evolutionary computation in thermoelastic problems. DOI: 10.1007/1-4020-2267-0_7

  9. Dorigo, M. and Gambardella, L. M., Ant colony system: A cooperative learning approach to the traveling salesman problem. DOI: 10.1109/4235.585892

  10. Kennedy, J., Eberhart, R. C., and Shi, Y., Swarm Intelligence.

  11. Kuś, W. and Burczyński, T., Parallel artificial immune system in optimization of mechanical structures.

  12. Kuś, W., Grid-enabled evolutionary algorithm application in the mechanical optimization problems. DOI: 10.1016/j.engappai.2006.11.018

  13. Lin, Z. and Zhigilei, L. V., Electron-phonon coupling and electron heat capacity of metals under conditions of strong electronphonon nonequilibrium. DOI: 10.1103/PhysRevB.77.075133

  14. Majchrzak, E. and Dziatkiewicz, J., Identification of electron-phonon coupling factor in a thin metal film subjected to an ultrashort laser pulse.

  15. Majchrzak, E. and Poteralska, J., Numerical analysis of short-pulse laser interactions with thin metal film.

  16. Majchrzak, E. and Paruch, M., Identification of electromagnetic field parameters assuring the cancer destruction during hyperthermia treatment. DOI: 10.1080/17415977.2010.531473

  17. Majchrzak, E., Mochnacki, B., and Poteralska, J., Estimation of laser intensity in a process of thin metal film heating.

  18. Michalewicz, Z., Genetic Algorithms + Data Structures = Evolutionary Algorithms.

  19. Poteralski, A., Szczepanik, M., Dziatkiewicz, G., Kuś, W., and Burczyński, T., Immune identification of piezoelectric material constants using BEM. DOI: 10.1080/17415977.2010.519027

  20. Zhang, Z. M., Nano/Microscale Heat Transfer.


Articles with similar content:

On optimal optical properties for near-field radiative heat transfer maximization between two semi-infinite planes at room temperature
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 2013, issue
Jeremie Drevillon, Karl Joulain, Younes Ezzahri, Elyes Nefzaoui
Heat Conduction Optimization of Anisotropic Composite Material Using Simulated Annealing Algorithm
International Heat Transfer Conference 15, Vol.37, 2014, issue
Lan Li, Chao Yuan, Xiaobing Luo
MODELING THE HEALING OF MICROCRACKS IN METAL STIMULATED BY A PULSED HIGH-ENERGY ELECTROMAGNETIC FIELD. PART II
Nanoscience and Technology: An International Journal, Vol.7, 2016, issue 2
Konstantin V. Kukudzhanov , Alexander L. Levitin
ONE-DIMENSIONAL APPROXIMATE ANALYTICAL SOLUTIONS OF HEAT CONDUCTION IN SEMI-INFINITE SOLIDS WITH TEMPERATURE-DEPENDENT PROPERTIES
Hybrid Methods in Engineering, Vol.3, 2001, issue 4
Gaetano Barbaro, Nicola Bianco, Oronzio Manca
ANALYSIS OF NEAR-FIELD EMISSION WITHIN NANO-GAPS USING FINITE DIFFERENCE TIME DOMAIN METHOD
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 2013, issue
Azadeh Didari , M. Pinar Menguc