1. Effects of aspect ratio on Rayleigh–Bénard convection under non-Oberbeck–Boussinesq effects in glycerol.
- Author
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Pan, Xiaomin, Yu, Wanli, and Choi, Jung-Il
- Abstract
This study investigates the non-Oberbeck–Boussinesq (NOB) Rayleigh–Bénard convection inside a two-dimensional rectangular cavity for a fluid with a high Prandtl number ( Pr = 2547.0 ). The parametric study focuses on the aspect ratio (Γ , 0.3 ≤ Γ ≤ 8 ) dependence of heat transfer and fluid flows on the Rayleigh number (Ra) ranging from 5 × 10 3 to 10 8 and an NOB assumption with a temperature difference ( Δ θ ~ ) of up to 50 K. We numerically find that the critical Ra (Ra c ) for convection onset decreases as Δ θ ~ increases for small Γ , while it increases as Δ θ ~ increases for large Γ . Four flow regimes are classified based on kinetic and thermal energy dissipation rates in the Γ –Ra plane. The aspect ratio dependency of the Nusselt number (Nu), Reynolds number (Re), and top and bottom thermal boundary layer (BL) thicknesses ( λ ¯ h , c θ ) is also investigated under both OB and NOB conditions. It is found that the Γ effect on Re (up to 61%) is more serious than that on Nu (up to 4.5%), while Γ does not obviously affect the generality of the classical NOB effects on scaling exponents of Nu, Re, and λ ¯ h , c θ for fully chaotic regimes. Top–bottom λ ¯ h , c θ asymmetry is confirmed, where the top BL is always thicker than the bottom one, and their ratio is up to 1.8 for Δ θ ~ = 50 K at Ra = 10 8 . Although λ ¯ h θ + λ ¯ c θ increases with an NOB effect enhancement for all aspect ratios, the compensation between λ ¯ h θ and λ ¯ c θ leads to small deviation (up to 7.0%) of λ ¯ h θ + λ ¯ c θ from unity. This contributes to the robustness of Nu because it is confirmed that the NOB effects on Nu are dominated by the change in λ ¯ h θ + λ ¯ c θ . [ABSTRACT FROM AUTHOR]
- Published
- 2023
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