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

Abstract

The present article deals with the study of a two dimensional thermoelastic problem of nonhomogeneous thick hollow cylinder within the context of fractional order derivative of order 2 0   . In which convection boundary conditions are applied on the curved surface of cylinder with internal heat generation. The material properties other then Poisson's ratio and density are expresses by a simple power law in axial direction. Also lower and upper surface are assumed to be thermally insulated. The affect of inhomogeneity on the both thermal and mechanical behavior is determined. Numerical computations are carried out with the help of Mathematica software for both homogeneous and nonhomogeneous cylinders as well as illustrated graphically in figures.

Analysis of Deflection in Visco-Thermoelastic Beam Resonators Subjected to Harmonic Loading

“…Partap and Chugh [14] investigated the flexural vibrations of homogeneous isotropic micropolar microstretch thermoelastic thin beam resonators under the influence of time harmonic load at different boundary conditions of clamped-clamped, simply supported-simply supported or clamped-free. Thakare et al [15] analysed the effect of inhomogeneity on thermal and mechanical behaviour in the two dimensional nonhomogeneous thick hollow cylinder in the context of fractional order derivative.…”

Fractional Thermal Analysis in a Generalized two Dimensional Infinite half Space with Heat Source

“…The thermoelastic theory which deals with concept of two relaxation times or having temperature dependency is known as second generalization. The thermoelastic theory with two relaxation times was developed by Green and Lindsay [3].From last few years, a lot of research work has developed in theory of fractional [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19].…”

Thermosensitive Response of a Functionally Graded Cylinder with Fractional Order Derivative

“…Recently, Thakare and Warbhe [23] studied the time fractional order thermoelastic problem of a thermally sensitive functionally graded thick hollow cylinder with the effect of internal heat source. Thakre et al [24] solved a two dimensional thermoelastic problem and determined temperature and associated stresses for a non-homogeneous thick hollow cylinder within the context of fractional order theory.…”

“…The article presented here is related to the extension of our own work [23,24] by assuming the time fractional governing temperature and spatial variable dependent heat conduction problem for a thick functionally graded hollow cylinder with an internal heat source (geometry as shown in Fig. 1).…”