Time fractional heat transfer analysis in nonhomogeneous thick hollow cylinder with internal heat generation and its thermal stresses

Abstract

In this article, we assume a two dimensional thermoelastic problem of a nonhomogeneous thick hollow cylinder within the context of fractional order derivative . Convection boundary conditions are applied on the curved surface of cylinder with internal heat generation. Let the material properties other then Poisson’s ratio and density are assumed to be expresses by a simple power law in axial direction. Lower and upper surface are assumed to be thermally insulated. The affect of inhomogeneity on the both thermal and mechanical behavior is examined. Numerical computations are carried out for both homogeneous and nonhomogeneous cylinders and are illustrated graphically are shown in figures with the help of Mathematica software.

Keywords

• Time fractional,, thermal stresses,, nonhomogeneous cylinder,, internal heat generation

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