ORIGINAL PAPER
Analytical investigation of temperature-dependent thermal conductivities in functionally graded conical shells: General thermal boundary conditions
Babak Erfan Manesh,
Amin Amiri Delouei,
Amin Emamian,
Fuli He,
Babak Erfan Manesh
Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran
Search for more papers by this authorAmin Amiri Delouei
Department of Mechanical Engineering, University of Bojnord, Bojnord, Iran
Department of Mechanical Engineering, Lakehead University, Thunder Bay, Canada
Search for more papers by this authorAmin Emamian
Department of Mechanical Engineering, University of Bojnord, Bojnord, Iran
Search for more papers by this authorCorresponding Author
Fuli He
School of Mathematics and Statistics, Central South University, Changsha, China
Correspondence
Fuli He, School of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha 410083, China.
Email: [email protected]
Search for more papers by this authorBabak Erfan Manesh,
Amin Amiri Delouei,
Amin Emamian,
Fuli He,
Babak Erfan Manesh
Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran
Search for more papers by this authorAmin Amiri Delouei
Department of Mechanical Engineering, University of Bojnord, Bojnord, Iran
Department of Mechanical Engineering, Lakehead University, Thunder Bay, Canada
Search for more papers by this authorAmin Emamian
Department of Mechanical Engineering, University of Bojnord, Bojnord, Iran
Search for more papers by this authorCorresponding Author
Fuli He
School of Mathematics and Statistics, Central South University, Changsha, China
Correspondence
Fuli He, School of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha 410083, China.
Email: [email protected]
Search for more papers by this authorFirst published: 18 April 2025
Abstract
This investigation, for the first time, analytically provides a solution for steady-state heat conduction in 2D functionally graded conical shells under general boundary conditions (BCs). The material properties vary in both angular and longitudinal directions according to an arbitrary power-law function of the longitudinal variable. Furthermore, the thermal conductivity coefficients are assumed to be linearly dependent on temperature, providing a more realistic understanding of heat transfer in functionally graded materials (FGMs). To derive the temperature distribution, this study employs the Kirchhoff transformation, the finite integral transform, and Green's function. An excellent agreement is observed when comparing the results of the present study with available analytical data. To demonstrate the practical applicability of the solution in various industrial scenarios, such as cooling pin fins and spacecraft heat shields, a typical industrial case is analyzed. Additionally, the effects of different parameters on the temperature distribution are studied.
CONFLICT OF INTEREST STATEMENT
The authors declare no conflicts of interest.
Open Research
DATA AVAILABILITY STATEMENT
The datasets generated during the current study are available from the corresponding author on reasonable request.
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