Open AccessConvective Boundary Conditions Effect on Cylindrical Media with Transient Heat Transfer
Author(s) -
Raoudha Chaabane,
Nor Azwadi Che Sidik,
Abdelmajid Jemni
Publication year - 2021
Publication title -
journal of advanced research in fluid mechanics and thermal sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.247
H-Index - 13
ISSN - 2289-7879
DOI - 10.37934/arfmts.82.2.146156
Subject(s) - boundary value problem , mechanics , convection , thermal conduction , heat transfer , physics , lattice boltzmann methods , work (physics) , convective heat transfer , thermal , fortran , boundary (topology) , dirichlet boundary condition , computational physics , mathematics , computer science , mathematical analysis , thermodynamics , operating system
Lattice Boltzmann method is used to solve inside a cylindrical cavity with convective boundary condition is highlighted in this paper. Because of its simple, stable, accurate, efficient and ease for parallelization, we use the thermal Single Relaxation Time Bhatnagar Gross Krook (SRT BGK) mesoscopic approach in order to solve the energy equation. Thermal fields are simulated using D2Q9 scheme. We introduce and demonstrate numerically some usual cases (Dirichlet, Newmann) of Boundary conditions (Bcs). After validation, we extend the present work to the convective case. At the wall of the cavity, the unknown Thermal Distribution Functions (TDF) are exposed to the bounce back concept which is determined consistently by one of the imposed BCs. An in-house Fortran 90 code is used to analyze a variety of BCs inside a two-dimensional cavity. In validation, obtained results highlight a good agreement with literature. The present study is extended to deal with convective boundary condition for conduction transfer problems inside an axisymmetric cylindrical media subjected to heat generation and Newman boundary conditions.