MODELING OF NON-STATIONARY HEAT CONDUCTION IN LAYERED MEDIUM
Keywords:
layered medium, heat conduction, film heat sourceAbstract
A method for determination of thermal condition of layered medium is offered. Legendre polynomials are used as basis functions of the problem. The proposed approach allows to formalize an algorithm of the solution of a non-stationary heat conduction problem and to select a class of objects to which the given approach can be applied.References
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Diakoniuk L. M. Heterogeneous model of the process of thermal conductivity in a multilayered medium with thin layers / L. M. Diakoniuk, Ya. H. Savula // Journal of Numerical & Applied Mathematics. 2017. N 3 (126). P. 33–47.
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REFERENCES:
Goldstein R. J. Heat transfer – a review of 2003 literature / R. J. Goldstein, W. E. Ibele, S. V. Patankar // Int. J. Heat Mass Transfer. 2006. Vol. 49, N 3-4. P. 451–534.
Shih T.-M. Literature survey of numerical heat transfer (2010–2011) / T.-M. Shih, Y. Zheng, M. Arie, J.-Ch. Zheng // Numerical Heat Transfer. Part A : Applications. 2013. Vol. 64, Iss. 6. P. 435–525.
Kayhani M. H. A general analytical solution for heat conduction in cylindrical multilayer composite laminates / M. H. Kayhani, M. Norouzi, A. A. Delouei // Int. J. Thermal Sciences. 2012. Vol. 52. P. 73–82.
Jane K. C. A generalized thermoelasticity problem of multilayered conical shells / K. C. Jane, Y. H. Wu // Int. J. Solids and Struct. 2004. Vol. 41, N 9–10. P. 2205–2233.
Oguamanam D.C.D. Nonlinear transient response of thermally loaded laminated panels / D.C.D. Oguamanam, J. S. Hansen, G. R. Heppler // Trans. ASME. J. Appl. Mech. 2004. V. 71, № 1. P. 49–56.
Diakoniuk L. M. Heterogeneous model of the process of thermal conductivity in a multilayered medium with thin layers / L. M. Diakoniuk, Ya. H. Savula // Journal of Numerical & Applied Mathematics. 2017. N 3 (126). P. 33–47.
Altenbach I. Die methode der finiten elemente in der festkörpermechanik / I. Altenbach, U. Gabbert, J. Dankert, H. Köppler, S. Koczyk, A. S. Sacharov, V. N. Kislookij, V. V. Kiričevskij. Leipzig : VEB Fachbuchverlag, 1982. 480 p.
Shupikov A. N. Nonstationary heat conduction in complex-shape laminated plates / A. N. Shupikov, N. V. Smetankina, Ye. V. Svet // Trans. ASME. J. Heat Transfer. 2007. V. 129, № 3. P. 335–341.
Smetankina N. V. Analysis of temperature fields in laminated plates with film heat sources / N. V. Smetankina // Thesis of XVI International Conference Reports “Dynamical System Modelling and Stability Investigation”. 2013. P. 321.
