Mathematical Modeling of Thermoelastic State of a Functionally Graded Thermally Sensitive Thick Hollow Cylinder With Internal Heat Generation

Abstract

In this paper, the effect of internal heat generation has been studied in a functionally graded (FG) thick hollow cylinder in context with thermosensitive thermoelastic properties. Initially, the cylinder is kept at reference temperature and the radial boundary surface under consideration dissipates heat by convection according to Newton's law of cooling, heat flux is applied at the lower surface, while the upper surface is insulated. The heat conduction equation due to internal heat generation is solved by integral transform technique and Kirchhoff's variable transformation is used to deal with the nonlinearity of the heat conduction equation. A mathematical model has been constructed for a nonhomogeneous material in which the material properties are assumed to be dependent on both temperature and spatial variable z. A ceramic-metal-based FG material is considered in which alumina is selected as ceramic and nickel as metal. The results obtained are illustrated graphically.

Thermo-flow Analysis of Cylinder with Crossed Splitter Plates with a Characteristics-based Scheme

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Thermoelastic Analysis of Circular and Rectangular Objects with Moving Heat Source: A Review of Recent Literature

“…Additionally, the thermoelastic potential function, Love's function, and displacement function were all applied to the problem. Kirchhoff variable transformation was used by Manthena et al [115] to convert the nonlinear form of heat conduction into the linear form. This was done to design a problem on a functionally graded thick hollow cylinder to determine temperature distribution and thermal stresses inside of a cylinder.…”