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research-article

An exact solution for transient anisotropic heat conduction in composite cylindrical shells

[+] Author and Article Information
Hossein Rahmani

Department of Chemical Engineering, Université Laval, Québec, Canada, G1V 0A6
hossein.rahmani.1@ulaval.ca

Mahmood Norouzi

Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran, 3619995161
mnorouzi@shahroodut.ac.ir

Alireza Komeili Birjandi

Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran, 3619995161
alireza.kb1992@gmail.com

Amir Komeili Birjandi

Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran, 3619995161
amir.kb66@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4044157 History: Received September 20, 2018; Revised June 20, 2019

Abstract

In present study, an analytical solution is proposed for the problem of transient anisotropic conductive heat transfer in composite cylindrical shells. The composite shells considered to have directional heat transfer properties which is due to the existence of fibers which can be winded in any direction. The composite shells usually show high conductivity in the direction parallel to fiber direction and low conductivity in other two orthogonal directions. To solve the heat transfer partial differential equation, finite Fourier transform and separation of variables method were used. The present solution is used to find the temperature distribution in a composite cylindrical vessel for which the composite material is graphite/epoxy and the vessel is prone to an external heat flux and also ambient flow. The analytical solution was verified perfectly by the data obtained from a second order finite difference solution. The solution is used to investigate the effects of values of fiber angle and material conductivity coefficients on the temperature distribution of the composite cylindrical vessel. The results show the major role of fiber angle values on the temperature distribution of vessel.

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