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Heat transfer in domain of metal superficial layer subjected to a strong external heat flux

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In the paper the thermal processes proceeding in a superficial layer of metal subjectedto a strong external heat flux are analyzed. The different mathematical models of heat conduction in domain considered are taken into account. The first bases on the dual-phase-lagequation describing a micro-scale heat transfer. DPLE contains the parameters corresponding to relaxation time τ q and the normalization time τ T . The second model considered here results from the assumption that τ T = 0 and then DPLE reduces to the Cattaneo equation. The last one (τ q = τ T = 0) corresponds to the well known Fourier equation. Using the implicit scheme of FDM algorithm the numerical simulations have been done and the conclusions resulting from the results obtained have been formulated.
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Bibliografia
  • [1] Ozisik M.N., Tzou D.Y., On the wave theory in heat conduction, Journal of Heat Transfer 1994, 116, 526-535.
  • [2] Tamma K.K., Zhou X., Macroscale and microscale thermal transport and thermo-mechanical interactions: some noteworthy perspectives, Journal of Thermal Stresses 1998, 405-449.
  • [3] Escobar R.A., Ghau S.S., Jhon M.S., Amon C.H., Multi-length and time scale thermal transport using the lattice Boltzmann method with application to electronic cooling, J. of Heat and Mass Transfer 2006, 49, 97-107.
  • [4] Smith A.N., Norris P.M., Microscale heat transfer, Chapter 18 in: Heat Transfer Handbook, John Wiley & Sons, 2003.
  • [5] Chen G., Borca-Tasciuc D., Yang R.G., Nanoscale heat transfer, Encyclopedia of Nanoscience and Nanotechnology 2004, X, 1-30.
  • [6] Lin Z., Zhigilei L.V., Temperature dependencies of the electron-phonon coupling, electron heat capacity and thermal conductivity in Ni under femtosecond laser irradiation, Appl. Surf. Science 2007, 253, 6295-6300.
  • [7] Mochnacki B., Suchy J.S., Numerical methods in computations of foundry processes, Polish Foundrymen's Technical Association, Cracow 1995.
  • [8] Majchrzak E., Mochnacki B., Numerical methods. Theoretical bases, practical aspects and algorithms, Publication of the Silesian University of Technology, Gliwice 2004 (in Polish).
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bwmeta1.element.baztech-article-BPC6-0005-0011
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