Analytical Solution for Temperature, Stress and Displacement Fields for a Hollow Cylinder Subjected to Asymmetric and Time Dependent Heat Flux

Document Type : Research Article

Authors

Mechanical Engineering Department, Shiraz University, Shiraz, Iran

Abstract

In present paper, a two dimensional analytical solution for temperature, stress and
displacement fields in a hollow cylinder is developed. An asymmetric and time dependent heat flux
is exposed on outer surface of the hollow cylinder. Moreover, the cylinder carries a fluid that transfers
heat through convection on its inner surface. The separation of variable method is implemented to
obtain temperature field. Also, stress distribution is taken by means of thermal stress function method.
Afterwards, displacement components are obtained by means of stress-strain and strain-displacement
relations. The cylinder is regarded as a model for the absorber tube of parabolic trough collector. Using
the analytical solution together with the actual properties of the model in solar power plant in Shiraz
city, results are presented for a period of twelve hours from 06:00 a.m. till 06:00 p.m. The analytical
solution is employed to extract numerical results using MATLAB software package. The results are also
validated with those given by FEM, conducted via ANSYS computer code. Finally, it is concluded that
differences between the results of analytical solution and outputs of ANSYS are result of of infirmity of
MATLAB software package in calculating the Kelvin functions with high accuracy.

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References

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Amirkabir Journal of Mechanical Engineering
Volume 49, Issue 2
August 2017
Pages 253-260

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