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Investigation of non-Fourier thermal waves interaction in a solid material

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, effects of non-Fourier thermal wave interactions in a thin film have been investigated. The non-Fourier, hyperbolic heat conduction equation is solved, using finite difference method with an implicit scheme. Calculations have been carried out for three geometrical configurations with various film thicknesses. The boundary condition of a symmetrical temperature step-change on both sides has been used. Time history for the temperature distribution for each investigated case is presented. Processes of thermal wave propagation, temperature peak build-up and reverse wave front creation have been described. It has been shown that (i) significant temperature overshoot can appear in the film subjected to symmetric thermal load (which can be potentially dangerous for reallife application), and (ii) effect of temperature amplification decreases with increased film thickness.
Rocznik
Strony
115--126
Opis fizyczny
Bibliogr. 15 poz., rys., wz.
Twórcy
  • Institute of Aviation al. Krakowska 110/114, 02-256 Warsaw, Poland
  • Institute of Aviation al. Krakowska 110/114, 02-256 Warsaw, Poland
Bibliografia
  • [1] Opsal J.: The application of thermal wave technology to thickness and grain size of aluminum films. In: Proc. SPIE 1596(1991), 120–131.
  • [2] Knapp J.A., Borgesen P., Zuhr R.A. (Eds.): Beam-Solid Interactions: Physical Phenomena. Mater. Res. Soc. Symp. Proc. 157(1990).
  • [3] Elliot D.J., Piwczyk B.P.: Single and multiple pulse ablation of polymeric and high density materials with excimer laser radiation at 193 nm and 248 nm. Mater. Res. Soc. Symp. Proc. 129(1989), 627–636.
  • [4] Narayan J., Gosbole V.P., White G.W.: Laser method for synthesis and processing of continuous diamond films onnondiamond substrates. Science 52(1991), 5004, 416–418.
  • [5] Tung M.M., Trujillo M., López Molina J.A., Rivera M.J., Berjano E.J.: Modeling the heating of biological tissue based on the hyperbolic heat transfer equation. Math. Comput. Model. 50(2009), 5-6, 665–672.
  • [6] Manns F., Borja D., Parel J.M., Smiddy W., Culbertson W.: Semianalytical thermal model for sub-ablative laser heating of homogeneous nonperfused biological tissue: Application to laser thermokeratoplasty. J. Biomed. Opt. 8(2003), 2, 288–297.
  • [7] Sharma K.R.: Hyperbolic Wave Propagative Partial Differential Equation Solution in Elution Chromatography. Abstr. Pap. Am. Chem. Soc. (2001), 79, 1.
  • [8] Tzou D.Y., Chen J.K., Beraun J.E.: Hot-electron blast induced by ultrashortpulsed lasers in layered media. Int. J. Heat Mass Tran. 45(2002), 16, 3369–3382.
  • [9] Othman M.I., Abouelregal A.E.E.: The effect of pulsed laser radiation on a thermoviscoelastic semi-infinite solid under two-temperature theory. Arch. Thermodyn. 38(2017), 3, 77–99.
  • [10] Baumeister K.J., Hamill T.D.: Hyperbolic heat conduction equation – A solution for the semi-infinite body problem. J. Heat Trans. 91(1969), 4, 543–548.
  • [11] Cattaneo C.: Sulla conduzione de calore. Atti Semin. Mat. Fis. Univ. Modena 342(1948), 83–101.
  • [12] Vernotte P.: La véritable équation de la chaleur. C.R. Acad. Sci. (Paris) 247(1958), 2103–2105.
  • [13] Domański R.: Research of the thermal conductivity of solid bodies for impulse action of the heat flux. PhD thesis, Warsaw University of Technology, Warszawa 1976 (in Polish).
  • [14] Marín E.: Does Fourier’s law of heat conduction contradict the theory of relativity?. Lat. Am. J. Phys. Educ. 5(2011), 2, 402–405.
  • [15] Jaworski M.: Energy transport into the solid medium by giantic laser pulses. PhD thesis, Warsaw University of Thechnology, Warszawa 1998 (in Polish).
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-41e77006-c274-41ac-b525-8cc83652a205
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