Exact Solution of Unsteady Conductive Heat Transfer in Cylindrical Composite Laminates

[+] Author and Article Information
M. Norouzi

 Mechanical Engineering Department,Shahrood University of Technology, Shahrood, Iran 36199-95161mnorouzi@shahroodut.ac.ir

S. M. Rezaei Niya

 Advanced Thermo-Fluidic Laboratory, School of Engineering,Faculty of Applied Science, University of British Columbia, Okanagan, Kelowna, BC,V1V 1V7, Canadaumrezaes@cc.umanitoba.ca

M. H. Kayhani

Mechanical Engineering Department, Shahrood University of Technology, Shahrood, Iran 36199-95161h_kayhani@shahroodut.ac.ir

M. Shariati

Mechanical Engineering Department, Shahrood University of Technology, Shahrood, Iran 36199-95161mshariati@shahrood.ac.ir

M. Karimi Demneh1

 Sama Technical and Vocational Training College, Islamic Azad University, Karaj Branch, Karaj, Iran 31485-313mkarimi@engineering.com

M. S. Naghavi

 Department of Mechanical Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, Malaysiamsnaghavi@perdana.um.edu.my


Corresponding author.

J. Heat Transfer 134(10), 101301 (Aug 07, 2012) (10 pages) doi:10.1115/1.4006009 History: Received January 09, 2011; Revised November 15, 2011; Published August 06, 2012; Online August 07, 2012

This paper presents an exact analytical solution for unsteady conductive heat transfer in a cylindrical multilayer composite laminate. Here, it is supposed that fibers have been wound around the cylinder in each lamina. In order to find the exact solution, the Laplace transformation is applied on anisotropic heat conduction equation to convert the time scale of problem to frequency scale and the separation of variable method is used to solve the resulted partial differential equations. The effect of fibers arrangements of multilayer cylindrical laminates and thermal boundary conditions on unsteady conductive heat transfer of these orthotropic materials is studied based on the exact solution that is presented in the current investigation. The analytical results illustrated that the unsteady temperature distribution in any multilayer composite laminates is in a state between the temperature distribution in single layer laminates with fibers’ angle equal to 0deg and 90deg.

Copyright © 2012 by American Society of Mechanical Engineers
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Figure 8

Local temperatures’ history of eight-layer cross-ply composite laminate at different positions

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Figure 7

Temperature distribution (K) in a half of eight-layer cross-ply composite laminate

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Figure 6

Effect of fibers angle (θ) on maximum temperature (K) of one layer laminate at q″=2000 W/m2, (a) 3D distribution of Tmax versus θ and time, (b) contour plot of Tmax, (c) diagrams of Tmax at different times

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Figure 5

Temperature distribution (K) in a half of composite laminates at qm″=2000 W/m2

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Figure 4

Temperature distribution (K) of one layer laminate in steady-state condition at q″=1400 W/m2 obtained from current work (t = 8000 s) and work of Kayhani [30]

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Figure 3

History of the mean temperature of one layer composite laminate at two different fibers angles and q″=1400 W/m2

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Figure 2

Heat fluxes in a cylindrical element

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Figure 1

The fibers’ direction in a cylindrical laminate



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