Shahrood University of Technology Journal of Solid and Fluid Mechanics 2251-9475 9 3 2019 09 23 An analytical solution for asymmetric non-Fourier heat conduction in a long solid orthotropic cylinder An analytical solution for asymmetric non-Fourier heat conduction in a long solid orthotropic cylinder 95 108 1633 10.22044/jsfm.2019.7127.2643 FA A. Keyfarikheybari Faculty of mechanical and Mechatronics Engineering, Shahrood University of Technology, Shahrood, Iran. M. B Nazari Faculty of mechanical and Mechatronics Engineering, Shahrood University of Technology, Shahrood, Iran. M. Jafari Faculty of mechanical and Mechatronics Engineering, Shahrood University of Technology, Shahrood, Iran. Journal Article 2018 05 30 In this paper, an analytical solution for the asymmetric temperature distribution in a long orthotropic cylinder, by considering the Cattaneo theory, is presented. The temperature distribution, due to the non-axisymmetric initial condition, is obtained by using the separation of variable method. In order to verify the analytical results, the governing equations are solved numerically by using finite difference method. In presented results, the effect of the heat wave travelling from the outer wall and simultaneously from the center into the cylinder as well as their interference on the temperature distribution is discussed thoroughly. Additionally, the effect of lay up angle on the temperature distribution in both radial and circumferential directions is investigated. The time history of the non-Fourier temperature has a wavy form in contrast to the Fourier one. According to the results, the non-Fourier temperature distribution does not converge to the Fourier one before reaching to the steady state. In this paper, an analytical solution for the asymmetric temperature distribution in a long orthotropic cylinder, by considering the Cattaneo theory, is presented. The temperature distribution, due to the non-axisymmetric initial condition, is obtained by using the separation of variable method. In order to verify the analytical results, the governing equations are solved numerically by using finite difference method. In presented results, the effect of the heat wave travelling from the outer wall and simultaneously from the center into the cylinder as well as their interference on the temperature distribution is discussed thoroughly. Additionally, the effect of lay up angle on the temperature distribution in both radial and circumferential directions is investigated. The time history of the non-Fourier temperature has a wavy form in contrast to the Fourier one. According to the results, the non-Fourier temperature distribution does not converge to the Fourier one before reaching to the steady state. https://jsfm.shahroodut.ac.ir/article_1633_702f918675b75457115e884f365ed272.pdf