Abstract
The paper has dealt with an exact analytical solution of steady-state heat conduction for the special case of a functionally graded (FG) cylindrical sector. In this regard, Fourier theory is utilized to develop the steady-state temperature field. The material properties according to the power-law function are considered to vary in radial and circumferential directions and in both directions, the most general thermal boundary conditions are applied. Adequate verification of the solution is demonstrated. The correctness of the exact analytical solution in terms of industrial examples is examined by solving a heat conduction problem for a cylindrical segment subjected to a combination of boundary conditions. Furthermore, the effects of various parameters such as material constant, geometry, and thermal conductivity ratio on the temperature distribution are explored. The findings are advantageous to comprehend the flexibility of the two-dimensional FG materials for designing process and optimizing configurations under multi-functional requirements such as intelligent control applications.
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