Heat Source Size Effect on Heat Transfer in a Local Heated From Below at High Rayleigh Number

EasyChair Preprint no. 2455

Abstract

In this work we used the Lattice Boltzmann method (LBM) to model the turbulent flow in a local filled with air, of side H, and heated from below by a constant temperature θ_C=1. One of the vertical walls has a cold portion of temperature θ_F=0. The other walls are adiabatic. The calculations were performed in two dimensions (2D) for Rayleigh numbers Ra=10⁸ and Ra=1.5×10⁸ and for different size ratio of the heat source (0.2 ≤ Lr = ℓ / H ≤ 0.8). The results are presented in the form of streamlines, isotherms and temperature evolution. The heat transfer is studied in terms of the average Nusselt number calculated on the hot wall. Results show that the temperature at the center and the heat transfer increases by increasing the Lr or Ra. 

Keyphrases: High Rayleigh number, Lattice Boltzmann Method, Local heated from below, Turbulent natural convection

@Booklet{EasyChair:2455,
  author = {Noureddine Abouricha and Mustapha El Alami},
  title = {Heat Source Size Effect on Heat Transfer in a Local Heated From Below at High Rayleigh Number},
  howpublished = {EasyChair Preprint no. 2455},

  year = {EasyChair, 2020}}