A contribution to the macroscopic modelling of hyperbolic heat transfer in a micro-periodic rigid conductor

• Autorzy: Siedlecka U.
• Języki publikacji: EN

Abstrakty

EN

The aim of this contribution is to analyze the propagation of initial temperature disturbances on a macroscopic level. The main result of in this contribution is a formulation of an independent system of equations describing the above problem. The derived macroscopic heat transfer equations will be represented by the independent temperature disturbance equations and by the equation for the microscopic (averaged) temperature field. To make this note self-consistent we outline in the subsequent sections the basic preliminary concepts of the tolerance averaging technique. The detailed discussion of this technique can be found in [5].

Słowa kluczowe

EN

hyperbolic heat transfer; macroscopic modelling; micro-periodic conductor

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2004
• Tom: Vol. 3, nr 1
• Strony: 195--200
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Siedlecka U.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology

Bibliografia

• [1] Bensoussan A., Lions J.L., Papanicolau G., Asymptotic analysis for periodic structures, North-Holland, Amsterdam 1978.
• [2] Cattaneo C., Sulla conduzione del calore, Atti del Semin. Matem. Univ. di Modena 1948, 3.
• [3] Fichera G., Is the Fourier theory of heat propagation paradoxical?, Rendiconti del Circolo Matematico di Palermo, Serie II, 41, 5-28.
• [4] Szymczyk J., Woźniak C., On the modelling of hyperbolic heat conduction problems in periodic lattice structures, Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej 2003, 1, 2, 183-189.
• [5] Woźniak C., Wierzbicki E., Averaging techniques in thermomechanics of composite solids, Wydawnictwo Politechniki Częstochowskiej, Częstochowa 2000.
• [6] Żmijewski K.H., Numeryczna realizacja metody parametrów mikrolokalnych, VIII-th Conference of Computational Methods in Mechanics of Structures, Jadwisin 1987, 471-480.