Abstract

This paper presents the volumetric fraction index's effect on temperature distribution throughout the radial direction of functionally graded material (FGM) thick-walled cylinder. It has been considered that the cylinder's inner and outer radius consists of a ceramic (Mullite) and metal (Molybdenum), respectively. The material properties are examined by employing the rule-of-mixture, and it varies continuously and gradually through the radius of the cylinder and is assumed to be temperature independent. The temperature distribution of a homogeneous-made cylinder is compared with an FGM cylinder's numerical solutions for volumetric fraction index equivalent to zero and infinity to validate the present work. The temperature distribution throughout the FGM thick-walled cylinder's thickness direction is evaluated by writing the code in python, an open-source programming environment, and presented in graphical form. The results show that the volumetric fraction significantly influences the material properties, such as the thermal conductivity coefficient and thermal expansion coefficient through the radial direction. Besides, the volumetric fraction has a significant impact on temperature distribution in the FGM cylinder. The temperature distribution in the FGM cylinder has less than the homogenous made cylinder.

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