Abstract
This paper presents the numerical modelling of heat transfer in two-dimensional metal films. The mathematical model of the problem analyzed consists on fuzzy coupled lattice Boltzmann equations for electrons and phonons supplemented by adequate boundary-initial conditions. In this model, the standard two-dimensional 9-speed lattice (D2Q9) is used. The main concept behind this work was to use the fuzzy lattice Boltzmann method (FLBM) to analyze the thermal process proceeding in a thin metal film. The application of α-cuts allows one to simplify mathematical operations in the fuzzy numbers set. Additionally, the trapezoidal approximation of fuzzy relaxation times and boundary conditions is considered. In the final part of the paper, the results of numerical computations are shown.
| Original language | English |
|---|---|
| Pages (from-to) | 209-219 |
| Number of pages | 11 |
| Journal | Journal of Theoretical and Applied Mechanics |
| Volume | 58 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2021 |
Keywords
- BTE
- Boltzmann transport equation
- Fuzzy arithmetic
- Heat transfer
ASJC Scopus subject areas
- General Mathematics
- Mechanical Engineering
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