论文标题

蒸发雷利 - 贝纳德对流:界面温度和全局传热调制的预测

Evaporating Rayleigh-Bénard convection: prediction of interface temperature and global heat transfer modulation

论文作者

Scapin, Nicoló, Demou, Andreas D., Brandt, Luca

论文摘要

我们提出了一个分析模型,用于估计接口温度$θ_γ$和Nusselt Numbernume $ NU $,用于在统计上固定的条件下蒸发两层雷利 - 贝纳德配置。该模型基于三个假设:(i)Oberbeck-Boussinesq近似可以应用于液相,而气体热物理性能是热力学压力,局部温度和蒸气组成的一般函数,(ii)将液体对流的含义应用于液体和液体的含义,可以将其分为液体和vap,II II II(III)(III)(III)(III)(III)(II)(II),(III)(II)(II)(II II)(II)(II),(III)(II)(II)(II)(II)(II)(II)(II II)(III)(II)(II)(II)(II)(II)(II)(II)(II)(II)(II)。气液接口。我们使用由雷利号($ 10^6 \ leq ra \ leq 10^8 $)组成的参数空间中的直接数值模拟(DNS)和温度差($ 0.05 \ leq \ varepsilon \ lepsilon \ leq 0.20 $)来验证此设置。为了更好地解开$θ_γ$和$ NU $的可变属性效应,在两个条件下进行了模拟。首先,除了气体密度和气体液体扩散系数外,我们考虑了均匀气体特性的情况。其次,我们包括使用现实状态方程的特定热容量,动态粘度和热导率的变化。不管采用的设置如何,提议的模型与所调查的$ ra- \ varepsilon $范围内的数值模拟非常吻合。

We propose an analytical model to estimate the interface temperature $Θ_Γ$ and the Nusselt number $Nu$ for an evaporating two-layer Rayleigh-Bénard configuration in statistically stationary conditions. The model is based on three assumptions: (i) the Oberbeck-Boussinesq approximation can be applied to the liquid phase, while the gas thermophysical properties are generic functions of thermodynamic pressure, local temperature, and vapour composition, (ii) the Grossmann-Lohse theory for thermal convection can be applied to the liquid and gas layers separately, (iii) the vapour content in the gas can be taken as the mean value at the gas-liquid interface. We validate this setting using direct numerical simulations (DNS) in a parameter space composed of the Rayleigh number ($10^6\leq Ra\leq 10^8$) and the temperature differential ($0.05\leq\varepsilon\leq 0.20$), which modulates the variation of state variables in the gas layer. To better disentangle the variable property effects on $Θ_Γ$ and $Nu$, simulations are performed in two conditions. First, we consider the case of uniform gas properties except for the gas density and gas-liquid diffusion coefficient. Second, we include the variation of specific heat capacity, dynamic viscosity, and thermal conductivity using realistic equations of state. Irrespective of the employed setting, the proposed model agrees very well with the numerical simulations over the entire range of $Ra-\varepsilon$ investigated.

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