Engineering Transactions, 63, 3, pp. 329–339, 2015

### Analysis of Non-stationary Heat Transfer in a Hollow Cylinder with Functionally Graded Material Properties Performed by Different Research Methods

Martyna Paulina RABENDA
Lodz University of Technology Department of Structural Mechanics
Poland

A unidirectional non-stationary heat conduction in two-phase hollow cylinder is considered. The conductor is made of two-phase composites and has a smooth gradation of effective properties in the radial direction. Thus, we deal with a special case of functionally graded materials, FGM [1, 3, 4, 11, 12]. The mathematical model of the conductor is based on a tolerance averaging approach (TAA) [12]. Comparison of the results of tolerance model published in the article [7] with finite element method (FEM) calculated by Autodesk Simulation Multiphysics program is shown. The effect of geometry and material properties of conductor on the temperature field as well as different boundary conditions is examined.
Keywords: heat transfer; tolerance averaging method; composite; FEM.
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