Solution to the problem of transient asymmetric heat conduction in a two-layer hollow cylinder of finite length

Analytical solutions of stress fields in functionally graded circular hollow cylinder with finite length subjected to axisymmetric pressure loadings on inner and outer surfaces are presented in this paper. The cylinder is simply supported at its two ends. Young's modulus of the material is assumed to vary continuously in radial direction of the cylinder. Moreover, numerical results of stresses in functionally graded circular hollow cylinder are appeared.

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Transient Heat Conduction in a Rod of Finite Length With Variable Thermal Properties

Journal of Applied Mechanics ◽

10.1115/1.3644070 ◽

1960 ◽

Vol 27 (4) ◽

pp. 617-622 ◽

Cited By ~ 2

Author(s):

W. H. Chu ◽

H. N. Abramson

Keyword(s):

Thermal Properties ◽

Heat Conduction ◽

Finite Length ◽

Thermophysical Properties ◽

Numerical Procedure ◽

Transient Heat Conduction ◽

Theoretical Solution ◽

Rod Of Finite Length

This paper presents a theoretical solution for transient heat conduction in a rod of finite length with variable thermal properties. A numerical procedure is developed and the results of one example are presented and compared with the corresponding solution for the case of constant properties. Application to the problem of determination of thermophysical properties is discussed briefly.

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A Fractional Single-Phase-Lag Model of Heat Conduction for Describing Propagation of the Maximum Temperature in a Finite Medium

Entropy ◽

10.3390/e20110876 ◽

2018 ◽

Vol 20 (11) ◽

pp. 876 ◽

Cited By ~ 2

Author(s):

Stanisław Kukla ◽

Urszula Siedlecka

Keyword(s):

Heat Conduction ◽

Hollow Cylinder ◽

Single Phase ◽

Heat Conduction Problem ◽

Expansion Method ◽

Maximum Temperature ◽

Phase Lag ◽

Conduction Model ◽

Laplace Transform Technique ◽

Finite Medium

In this paper, an investigation of the maximum temperature propagation in a finite medium is presented. The heat conduction in the medium was modelled by using a single-phase-lag equation with fractional Caputo derivatives. The formulation and solution of the problem concern the heat conduction in a slab, a hollow cylinder, and a hollow sphere, which are subjected to a heat source represented by the Robotnov function and a harmonically varying ambient temperature. The problem with time-dependent Robin and homogenous Neumann boundary conditions has been solved by using an eigenfunction expansion method and the Laplace transform technique. The solution of the heat conduction problem was used for determination of the maximum temperature trajectories. The trajectories and propagation speeds of the temperature maxima in the medium depend on the order of fractional derivatives occurring in the heat conduction model. These dependencies for the heat conduction in the hollow cylinder have been numerically investigated.

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