A heat transfer problem with exponential memory and the associated thermal stresses. Issue 1 (22nd February 2022)

• Record Type: Journal Article
• Authors: Avcı, Derya; İskender Eroğlu, Beyza Billur; Özdemir, Necati
• Is Part Of: Numerical methods for partial differential equations. Volume 39:Issue 1(2023)
• Page Start: 231
• Page End: 241
• Publication Date: 2022-02-22
• Subjects: Caputo–Fabrizio derivative -- finite Hankel transform -- heat diffusion -- Laplace transform -- thermal stresses; Differential equations, Partial -- Numerical solutions -- Periodicals; 515.353
• DOI: 10.1002/num.22873
• Languages: English
• ISSNs: 0749-159X

Abstract

Abstract: In this study, a heat transfer problem defined by the Caputo–Fabrizio derivative, which is known to behave by the exponential decaying law, is addressed in an axially symmetric cylindrical region. Thus, the fundamental solutions of the heat diffusion process and the associated thermal stresses are aimed to find. For this purpose, Laplace and finite Hankel integral transforms are applied according to the geometry of the region. To obtain the thermal stresses, constitutive relations of the classical thermoelasticity theory are used. The effects of fractional orders on the diffusion process are illustrated graphically using MATLAB.