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Nonstationary end heating of a multilayer semiinfinite plate

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Journal of Engineering Physics and Thermophysics Aims and scope

The solution of a two-dimensional initial boundary-value heat-conduction problem for a multilayer semiinfinite band (plate) has been constructed with integral Laguerre and Fourier transformations. The results of a numerical analysis of the temperature field in a three-layered plate as a function of the relative geometric and thermophysical properties of the plate’s components have been given. The possibility of applying the method proposed to analysis of temperature fields in bodies with nanocoatings has been elucidated.

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References

  1. K. R. Lilius and M. M. Gasik, Functional gradient materials: development of new materials science solutions, in: Progressive Materials and Technologies [in Russian], Vol. 2, Kiev (2003), pp. 70–86.

  2. Y. Tamarin, Protective Coatings for Turbine Blades, ASM International (2002).

  3. N. Nomura, M. Gasik, A. Kawasaki, and R. Watanabe, Thermomechanical modeling of functionally graded thermal barrier coatings, Ceramic Transactions. Amer. Ceram. Soc. USA, 114, 223–229 (2001).

    Google Scholar 

  4. Yu. M. Kolyano, Methods of Heat Conduction and Thermal Elasticity of an Inhomogeneous Body [in Russian], Naukova Dumka, Kiev (1992).

    Google Scholar 

  5. V. A. Galazyuk, Method of Chebyshev–Laguerre polynomials in a mixed problem for the linear partial differential equation of second order with constant coefficients, Dokl. Akad. Nauk UkrSSSR, Ser. A, No. 1, 3–7 (1981).

    Google Scholar 

  6. V. A. Galazyuk, A. A. Evtushenko, and I. N. Turchin, Unsteady frictional heating of projections of microirregularities of a sliding contact, Inzh.-Fiz. Zh., 69, No. 5, 768–772 (1995).

    Google Scholar 

  7. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables [Russian translation], Nauka, Moscow (1979).

    Google Scholar 

  8. I. Sneddon, Fourier Transforms [Russian translation], Izd. Inostr. Lit., Moscow (1955).

    Google Scholar 

  9. A. I. Gusev, Nanomaterials, Nanostructures, Nanotechnologies [in Russian], Fizmatlit, Moscow (2005).

    Google Scholar 

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Correspondence to I. N. Turchin.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 85, No. 6, pp. 1343–1351, November–December, 2012.

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Turchin, I.N. Nonstationary end heating of a multilayer semiinfinite plate. J Eng Phys Thermophy 85, 1453–1462 (2012). https://doi.org/10.1007/s10891-012-0795-6

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  • DOI: https://doi.org/10.1007/s10891-012-0795-6

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