Numerical Investigation of 2D Heat Transfer with Periodic Boundary Conditions

Bağlan İ., Aslan E.

14th International Conference on Computational Heat and Mass Transfer, ICCHMT 2023, Düsseldorf, Almanya, 4 - 08 Eylül 2023, ss.207-216 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1007/978-3-031-67241-5_19
  • Basıldığı Şehir: Düsseldorf
  • Basıldığı Ülke: Almanya
  • Sayfa Sayıları: ss.207-216
  • Anahtar Kelimeler: Finite Difference Method, Fourier Method, Heat Diffusion Equation, Periodic Boundary Condition
  • Kocaeli Üniversitesi Adresli: Evet

Özet

Numerical and analytical investigation of two-dimensional heat diffusion problem with heat source and periodic boundary conditions is done. Present problem is quasilinear problem. Because of the problem is nonlinear, theorem of Picard’s successive approximation is used. Under certain conditions of natural regularity and consistency imposed on the input data, establish the existence, uniqness and constant dependence of the solution on the data using the generalized Fourier method. Implicit-finite difference is used as a numerical solution. Numerical and analytical results are so closed with each other.