BIE formulation for axisymmetric transient heat conduction applications

GÜN H., Feng W.

Numerical Heat Transfer, Part B: Fundamentals, vol.83, no.4, pp.192-204, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 83 Issue: 4
  • Publication Date: 2023
  • Doi Number: 10.1080/10407790.2022.2155276
  • Journal Name: Numerical Heat Transfer, Part B: Fundamentals
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Page Numbers: pp.192-204
  • Keywords: Axisymmetric problems, boundary integral equation, radial integration, transient heat applications
  • Uşak University Affiliated: No

Abstract

Boundary integral equation method is proposed for axisymmetric transient heat transfer applications covering spatially varying heat sources. The radial integral approach using the normalized temperature, thus, eliminating temperature gradients involved, is utilized to switch two-dimensional integrals to the equivalent line-related integrals. The derivative of the temperature is approximated using the finite difference method. To evaluate time-depended equations, the time-marching scheme is adopted. The proposed boundary integral formulation is implemented into axisymmetric applications to assess its accuracy.