Thermosensitive Response of a Functionally Graded Cylinder with Fractional Order Derivative

• Published in: International Journal of Applied Mechanics and Engineering Vol. 27; no. 1; pp. 107 - 124
• Main Author: Lamba, Navneet Kumar
• Format: Journal Article
• Language: English
• Published: Zielona Góra Sciendo 01.03.2022; University of Zielona Góra, Institute of Mechanical Engineering; University of Zielona Góra
• Subjects: Boundary conditions; Conduction heating; Conductive heat transfer; Cooling curves; Cylinders; FGMs; Fractional calculus; Functionally gradient materials; Heat; Heat flux; Heat generation; Integral transforms; internal heat generation; Numerical analysis; Stresses; Temperature distribution; thermal stresses; Thermodynamic properties; Thermodynamics; thermosenstive; thick hollow cylinder; time fractional
• ISSN: 1734-4492; 2353-9003
• DOI: 10.2478/ijame-2022-0008

The present paper deals with thermal behaviour analysis of an axisymmetric functionally graded thermosensitive hollow cylinder. The system of coordinates are expressed in cylindrical-polar form. The heat conduction equation is of time-fractional order < α ≤ , subjected to the effect of internal heat generation. Convective boundary conditions are applied to inner and outer curved surfaces whereas heat dissipates following Newton’s law of cooling. The lower surface is subjected to heat flux, whereas the upper surface is thermally insulated. Kirchhoff’s transformation is used to remove the nonlinearity of the heat equation and further it is solved to find temperature and associated stresses by applying integral transformation method. For numerical analysis a ceramic-metal-based functionally graded material is considered and the obtained results of temperature distribution and associated stresses are presented graphically.