TY  - EJOU
AU  - Abouricha, Noureddine 
AU  - Ennawaoui, Chouaib 
AU  - Alami, Mustapha El 

TI  - Amplitude and Period Effect on Heat Transfer in an Enclosure with Sinusoidal Heating from Below Using Lattice Boltzmann Method
T2  - Frontiers in Heat and Mass Transfer

PY  - 2023
VL  - 21
IS  - 1
SN  - 2151-8629

AB  - This work presents a simulation of the phenomena of natural convection in an enclosure with a variable heating
regime by the lattice Boltzmann method (LBM). We consider a square enclosure of side <i>H</i> filled with air (<i>Pr</i> =
0.71) and heated from below, with a hot portion of length <i>L</i> = 0.8 <i>H</i>, by imposing a sinusoidal temperature. The
unheated segments of the bottom wall are treated as adiabatic, and one of the vertical walls features a cold region,
while the remaining walls remain adiabatic. The outcomes of the two-dimensional (2D) problem are depicted
through isotherms, streamlines, the temperature evolution within the enclosure, and the Nusselt number. These
visualizations span various amplitude values “<i>a</i>” in the interval [0.2, 0.8], and of the period <i>T</i><sub>0</sub> for<i> Ra</i> = 10<sup>7</sup>. The
amplitude and period effect on the results is evaluated and discussed. The amplitude of the temperature at the heart
of the enclosure increases with the increase in amplitude. This also increases with the period (<i>T</i><sub>0</sub>) of the imposed
temperature, something that is not observable on the global Nusselt number.
KW  - Sinusoidal heating; square cavity; lattice Boltzmann method; natural convection; heat transfer; under floor heating

DO  - 10.32604/fhmt.2023.045914