**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30840

##### An Exact Solution of Axi-symmetric Conductive Heat Transfer in Cylindrical Composite Laminate under the General Boundary Condition

**Authors:**
M.kayhani,
M.Nourouzi,
A. Amiri Delooei

**Abstract:**

**Keywords:**
Heat Conduction,
exact solution,
cylinder,
composite laminate,
fourier transformation

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1330243

**References:**

[1] C. K. Chao, F.M. Che, and M.H. Shen, "An exact solution for thermal stresses in a three-phase composite cylinder under uniform heat flow, " Int. J. Solids and Structures, vol.44, pp.926-940, 2007.

[2] V. Pradeep, and N. Ganesan, "Thermal buckling and vibration behavior of multi-layer rectangular viscoelastic sandwich plates," Journal of Sound and Vibration, vol. 310, pp.169-183, 2008.

[3] J.Q. Tarn, "state space formalism for anisotropic elasticity. PartII: cylindrical anisotropy," Int. J. Solids Struct. Vol.39, pp.5157-5172, 2002.

[4] W.A. Wooster, A textbook in crystal physics. Cambridge University Press, London, 1957, pp.455

[5] J.F. Nye, Physical properties of crystals. Clarendon Press, London, 1957, pp.309.

[6] C.C. Ma and S.S Chang, "Analytical exact solutions of heat conduction problems for anisotropic multilayered media, " Int. J. Heat and Mass Transfer vol.47 pp.1643-1655, 2004.

[7] M.R. Kulkarani, and R.P. Brady, "A model of global thermal conductivity in laminated Carboncarbon composites, " Composites science and Technology vol.57, pp.277-285, 1997.

[8] B.T. Johansson, and D. Lesnic, " A method of fundamental solutions for transient heat conduction in layered materials, " Engineering Analysis with Boundary Elements, vol.33, pp.1362-1367, 2009.

[9] Y. Sun, and I.S. Wichman, "On transient heat conduction in a onedimensional composite slab, " Int J Heat and Mass Transfer, vol.47, pp.1555-1559, 2004.

[10] A. Karageorghis, and D. Lesnic, "Steady-state nonlinear heat conduction in composite materials, ", Comput. Methods Appl .Mech. Engrg, vol. 197, pp. 3122-3137, 2008.

[11] A. Haji-Sheikh, J.V. Beck, and D. Agonater, "Steady-state heat conduction in multi-layer bodies, " Int J Heat and Mass Transfer vol.46 pp.2363-2379, 2003.

[12] Z-S Guo, et al. "Temperature distribution of thick thermo set composites, " J Model Simul Mater SciEng, vol.12 pp.443-452, 2004.

[13] S. Singh, P.K. Jain, and Rizwan-uddin, "Analytical solution to transient heat conduction in polar coordinates with multiple layers in radial direction, " Int. J. Thermal Sciences vol.47 pp.261-273, 2008.

[14] R. Bahadur, A. Bar-Cohen, "Orthotropic thermal conductivity effect on cylindrical pin fin heat transfer, " Int. J. Heat and Mass Transfer vol.50 pp.1155-1162, 2007.

[15] O.O. Onyejekwe, "heat conduction in composite media: a boundary integral approach, " Computers and chemical Engineering vol.26 pp. 1621-1632, 2002.

[16] J.Q. Tarn, Y.M. Wang, "Heat conduction in a cylindrically anisotropic tube of a functionally graded material, " Chin J. Mech., Vol.19 pp.365- 372, 2003.

[17] J.Q. Tarn, Y.M. Wang, "End effects of heat conduction in circular cylinders of functionally graded materials and laminated composites, " Inter. J. Heat Mass Transfer vol.47, pp.5741-5747, 2004.

[18] J. Zhang, M. Tanaka, and T. Matsumoto, "A simplified approach for heat conduction analysis of CNT-based nano-composites, " Comput. Methods Appl. Mech. Engrg., vol.193 pp.5597-5609, 2004.

[19] N.A. Roberts, D.G. Walker, D.Y. Li, "Molecular dynamics simulation of thermal conductivity of nanocrystalline composite films, " Int. J. Heat and Mass Transfer, Vol.52, pp.2002- 2008, 2008.

[20] Y.S. Cha, W.J. Minkowycz, and S.Y. Seol, "Transverse temperature distribution and heat generation rate in composite superconductors subjected to constant thermal disturbance, " Int. Comm. Heat Mass Transfer, Vol. 22, No.4, pp. 461-474, 1995.

[21] M.H. Kayhani, M. Shariati, M. Nourozi, M., Karimi Demneh, "Exact solution of conductive heat transfer in cylindrical composite laminate, " Int. J. Heat and Mass Transfer, Vol 46, pp.83-94, 2009.

[22] T. Myint-U, and L. Debnath, LinearPartial Differential Equations for Scientists and Engineers, Birkhauser Boston, 2007.

[23] Y.S. Touloukian, C.Y. Ho, Thermophysical properties of matter, plenumpress, vol.2, Thermal Conductivity of Nonmetallic Solids, New York, 1972, pp.740, 1972.