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, Germany, 4 - 08 September 2023, pp.207-216, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1007/978-3-031-67241-5_19
  • City: Düsseldorf
  • Country: Germany
  • Page Numbers: pp.207-216
  • Keywords: Finite Difference Method, Fourier Method, Heat Diffusion Equation, Periodic Boundary Condition
  • Kocaeli University Affiliated: Yes

Abstract

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.