Analytic solutions for heat conduction in functionally graded circular hollow cylinders with time-dependent boundary conditions
type: Item
instance of: scholarly article
title: Analytic solutions for heat conduction in functionally graded circular hollow cylinders with time-dependent boundary conditions
zbMATH Open document ID: 1299.80008
author: Sen Yung Lee
author: Chih-Cheng Huang
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: Summary: An analytic solution method, without integral transformation, is developed to find the exact solutions for transient heat conduction in functionally graded (FG) circular hollow cylinders with time-dependent boundary conditions. By introducing suitable shifting functions, the governing second-order regular singular differential equation with variable coefficients and time-dependent boundary conditions is transformed into a differential equation with homogenous boundary conditions. The exact solution of the system with thermal conductivity and specific heat in power functions with different orders is developed. Finally, limiting studies and numerical analyses are given to illustrate the efficiency and the accuracy of the analysis.
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 6372668
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6372668