Entropy Generation in Double-diffusive Natural Convection in a Square Porous Enclosure: Lattice Boltzmann Method

doi:10.19596/j.cnki.1001-246x.8484

Abstract

Abstract:

A Darcy-Brinkman-Forchheimer model based lattice Boltzmann method is conducted to the simnlation of double-diffusive natural convection in an inclined square porous enclosure. Effects of porosity (0.2≤ε≤0.9), Rayleigh number (10³≤Ra≤10⁶), buoyancy ratio (-4≤Br≤2) and inclination angle (0°≤γ≤80°) on the local and total entropy generation are systematically investigated. It shows that as ε and Ra increased, peaks of local entropy generation due to heat transfer, fluid friction and mass transfer grow higher and the contribution of fluid friction to total entropy generation increased prominently. In addition, the clear fluid term has more influence on fluid friction entropy generation. Br=-1 is a critical value for the change of local entropy generation distribution. At the same time, the total entropy generation tends to zero. With the increase of inclination angle, the high entropy generation region of local fluid friction entropy generation moves clockwise. The maximum entropy caused by clear fluid term and Darcy dissipation term appears at 40° and 60°, respectively.

Key words: double-diffusive natural convection, entropy generation, porous media, lattice Boltzmann method

Jiaxin LIU, Lin ZHENG, Beihao ZHANG. Entropy Generation in Double-diffusive Natural Convection in a Square Porous Enclosure: Lattice Boltzmann Method[J]. Chinese Journal of Computational Physics, 2022, 39(5): 549-563.

Figures/Tables 12

Fig.1 A schematic of the physical model

Fig.2 Results of current work (left) and Ilis [37] (right) (a) Isotherms; (b) Streamlines; (c) ST; (d) SF; (e) Stot; (f) Be

Fig.3 ST, SF and SD at different ε (a) ε = 0.3; (b) ε = 0.5; (c) ε = 0.7; (d) ε = 0.9

Fig.4 (a) ST, SF, SD, Stot and Pi at different ε; (b) A fitting curve of Stot ε; (c) SFL, SFD, SDC, SDT and Ri at different ε

Fig.5 ST, SF and SD at different Ra (a) Ra = 103; (b) Ra = 104; (c) Ra = 106

Fig.6 (a) ST, SF, SD, Stot and Pi at different Ra; (b) fitting curve of Stot; (c) SFL, SFD, SDC, SDT and Ri at different Ra

Fig.7 ST, SF and SD at different Br (a) Br = 2; (b) Br = 0; (c) Br = - 0.5; (d) Br = - 2

Fig.8 (a) Vertical velocity distribution at X = 0.1; (b) Temperature and concentration distribution at Y = 0.1 at different Br

Fig.9 (a) ST, SF, SD, Stot and Pi at different Br; (b) A fitting curve of Stot; (c) SFL, SFD, SDC, SDT and Ri at different Br

Fig.10 ST, SF and SD at different γ (a) γ = 40°; (b) γ = 60°; (c) γ = 80°

Fig.11 Velocity Field for different γ (a) γ = 20°; (b) γ = 40°; (c) γ = 50°; (d) γ = 60°; (e) γ = 80°

Fig.12 (a) ST, SF, SD, Stot and Pi at different γ; (b) A fitting curve of Stot and γ; (c) SFL, SFD, SDC, SDT and Ri at different γ

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