Unsteady Temperature Distribution in a Finite Functionally Graded Cylinder
Authors: A. Amiri Delouei
In the current study, two-dimensional unsteady heat conduction in a functionally graded cylinder is studied analytically. The temperature distribution is in radial and longitudinal directions. Heat conduction coefficients are considered a power function of radius both in radial and longitudinal directions. The proposed solution can exactly satisfy the boundary conditions. Analytical unsteady temperature distribution for different parameters of functionally graded cylinder is investigated. The achieved exact solution is useful for thermal stress analysis of functionally graded cylinders. Regarding the analytical approach, this solution can be used to understand the concepts of heat conduction in functionally graded materials.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1132288Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 791
 A. Amiri Delouei, “Two-dimensional temperature distribution in a functionally graded material”, in Proc. 1th National Conference on Gas and Petrochemical Processes, Iran, 2017, pp. 1128.
 M. B. Bever, P. E. Duvez, “Gradients in composite materials”, Material Science Engineering, 1972, pp.1-8.
 J. Q. Tarn, Y. M. Wang, “Heat Conduction In A Cylindrically Anisotropic Tube Of A Functionally Graded Material”, The Chinese Journal of Mechanics-Series A. 2003, pp. 365-372.
 S. M. Hosseini S.M., M. Akhlaghi, M. Shakeri, “Transient heat conduction in functionally graded thick hollow cylinders by analytical method”, Heat Mass Transfer. 2007, pp. 669–675.
 G. H. Rahimi, M. Zamani Nejad, “Exact Solutions for Thermal Stresses in a Rotating Thick-Walled Cylinder of Functionally Graded Materials”, Journal of Applied Sciences. 2008, pp. 3267-3272.
 M. Jabbari, A. H. Mohazzab, A. Bahtui, “One-Dimensional Moving Heat Source in a Hollow FGM Cylinder”, Journal of Pressure Vessel Technology, 2009, pp. 021202-1-7.
 S. M. Hosseini, M. H. Abolbashari, “A Unified Formulation for the Analysis of Temperature Field in a Thick Hollow Cylinder Made of Functionally Graded Materials With Various Grading Patterns”, Heat Transfer Engineering, 2012, pp. 261–271.
 P. Ostrowski, “Unidirectional And Stationary Heat Conduction Problem In Two-Phase Hollow Cylinder With Functionally Graded And Temperature Dependent Effective Material Properties”, Budownictwo. 2012, pp. 13-23.
 H. M. Wang, “An effective approach for transient thermal analysis in a functionally graded hollow cylinder”, International Journal of Heat and Mass Transfer, 2013, pp. 499–505.
 S. Y. Lee, C. C. Huang, “Analytic Solutions for Heat Conduction in Functionally Graded Circular Hollow Cylinders with Time-Dependent Boundary Conditions”, Mathematical Problems in Engineering, 2013, pp. 816385-1-8.
 K. Daneshjou, M. Bakhtiari, R. Alibakhshi, M. Fakoor, “Transient thermal analysis in 2D orthotropic FG hollow cylinder with heat source”, International Journal of Heat and Mass Transfer, 2015, pp. 977–984.
 J. Stabik, M. Chomiak, A. Dybowska, Ł. Suchoń, K. Mrowiec, “Chosen manufacture methods of Polymeric Graded Materials with electrical and magnetic properties gradation”, Journal of Achievements in Materials and Manufacturing Engineering, 2012, pp. 218-226.