Analytic solutions for heat conduction in functionally graded circular hollow cylinders with time-dependent boundary conditions

Sen Yung Lee, Chih Cheng Huang

研究成果: Article同行評審

7 引文 斯高帕斯(Scopus)

摘要

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.

原文English
文章編號816385
期刊Mathematical Problems in Engineering
2013
DOIs
出版狀態Published - 2013

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

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