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首页> 外文期刊>International Journal of Heat and Mass Transfer >Numerical study of turbulent double-diffusive natural convection in a square cavity by LES-based lattice Boltzmann model
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Numerical study of turbulent double-diffusive natural convection in a square cavity by LES-based lattice Boltzmann model

机译：基于LES的格子Boltzmann模型对方腔内湍流双扩散自然对流的数值研究。

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Turbulent double-diffusive natural convection in a square cavity represents numerous important problems in practice as well as in fundamental. However up to date the study on it is quite sparse and most previous studies just focus on laminar regime. To the best knowledge of the present authors, only several k-∈ models were developed to investigate turbulent double-diffusive convection and there is no attempt to use Large Eddy Simulation (LES). In order to deepen our knowledge on turbulent double-diffusive convection in a square cavity, we propose a novel LES-based lattice Boltzmann (LB) model to simulate such turbulent convectional flow. Previous LES-based LB models can be recovered from the present model. We find that the symmetry of the fluid circulation becomes broken since the Rayleigh number Ra = 10~8, although the asymmetry is more clear when Ra≥10~(10). More important, in the present study we find the power-law relationship among the Nusselt (Nu), the ratio of buoyancy forces (N) and the Rayleigh number (Ra) still exists in turbulent regime. The formula among them can be concluded as Nu = a × (Ra × |1 - N|)~b + c. The values of parameters a, b and c are given in this work.
机译：方腔中湍流的双扩散自然对流在实践中以及从根本上都代表了许多重要问题。然而，迄今为止，有关它的研究还很少，并且大多数以前的研究仅关注层流状态。就本作者所知，仅开发了几个k-ε模型来研究湍流双扩散对流，并且没有尝试使用大涡模拟（LES）。为了加深我们对方腔内湍流双扩散对流的认识，我们提出了一种基于LES的新型格子Boltzmann（LB）模型来模拟这种湍流对流。可以从当前模型中恢复以前基于LES的LB模型。我们发现，自瑞利数Ra = 10〜8以来，流体循环的对称性就破裂了，尽管当Ra≥10〜（10）时，不对称性更加明显。更重要的是，在本研究中，我们发现在湍流状态下，努塞尔特（Nu），浮力比（N）和瑞利数（Ra）之间仍然存在幂律关系。其中的公式可以推论为Nu = a×（Ra×| 1- N |）〜b + c。在这项工作中给出了参数a，b和c的值。

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