Non-stationary heat transfer in two-phase hollow cylinder with functionally graded effective material properties with second kind of boundary conditions
Journal Title: Civil and Environmental Engineering Reports - Year 2010, Vol 1, Issue 5
Abstract
The unidirectional non-stationary heat conduction in two-phase hollow cylinder is considered. The conductor is made of two-phase stratified composites and has a smooth gradation of effective properties in the radial direction. Therefore, we deal here with a special case of functionally graded materials, FGM (cf. [6]). The formulation of mathematical model of the conductor is based on the tolerance averaging approach (TAA), cf. [8]. Considerations in this paper are restricted only to the unidirectional nonstationary heat conduction, where on the boundaries are given φ-constant or periodic function of heat fluxes q0 = q0(φ,t), qk = qk(φ,t) for every time period t, and function of initial temperature Θ 0 = Θ 0 (φ,t) for t = t0. The effect of fibres width on the temperature field will be also examined.<br/><br/>
Authors and Affiliations
P. Ostrowski
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