Boundary integral formulation of axisymmetric nonlinear transient heat transfer problems

GÜN H., Feng W.

Engineering Analysis with Boundary Elements, cilt.181, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 181
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1016/j.enganabound.2025.106517
  • Dergi Adı: Engineering Analysis with Boundary Elements
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Axisymmetric problems, Boundary integral equation, Nonlinear transient heat applications, Radial integration
  • Uşak Üniversitesi Adresli: Evet

Özet

The Boundary integral equation approach is extended to cover axially symmetric nonlinear heat conduction problems with temperature-dependent material thermal conductivities. To derive axisymmetric BIE formulation, three-dimensional fundamental solutions are integrated with respect to the hoop direction and then the radial integration procedure employing radial basis functions to approximate the unknown variables is utilized to switch axially symmetric surface integrals to axially symmetric line integrals. This computational process results in a pure line element algorithm. To arrive the solution of a set of linear algebraic equations obtained by its numerical implementation using both line-only-elements and interior points, Newton-Rapson iterative procedure is employed. Numerical applications are given with temperature-dependent thermal conductivity examples including spatially varying thermal properties. The BIE results are shown to be in a satisfactory agreement with Finite Element Analysis (FEA) results.