An Exact Analytical Solution for Heat Conduction in a ‎Functionally Graded Conical Shell

Document Type : Research Paper

Authors

1 Department of Mechanical Engineering, University of Bojnord, Bojnord 945 3155111, Iran

2 Mechanical Engineering Department, Shahrood University of Technology, Shahrood, 361 9995161, Iran

3 State Key Laboratory for Strength and Vibration of Mechanical Structures, Shaanxi Key Laboratory of Environment and Control for Flight Vehicle,‎ School of Aerospace Engineering, Xi’an Jiaotong University, Xi’an, 710049, The People's Republic of China‎

Abstract

In this study, an exact analytical solution for the heat conduction problem in a truncated conical shell is presented. The cone is made of functionally graded materials and it is considered that the material properties vary according to power-law functions. The general thermal boundary conditions are applied to cover a wide variety of actual applications. The results are successfully validated. Two examples, which are tried to mimic practical conditions, are studied using the derived solution, and a parametric study is done to shed light on the problem. The outcomes of this research provide useful information for understanding the nature of heat transfer behavior in the specific geometry of a cone. Regarding the specific applications of conical shells, the results can be used in the prefabrication process of these shells and tailoring the design parameter of functionally graded materials.

Keywords

Main Subjects

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