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Turbulent convection in a cube with mixed thermal boundary conditions: low Rayleigh number regime

机译:在具有混合热边界条件的立方体中的湍流对流:低瑞利数量

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Turbulent thermal convection was numerically investigated in a cubic cavity under homogeneous and inhomogeneous heating for Rayleigh number Ra = 10~7 and Prandtl number Pr = 6.46. Inhomogeneous heating was created only at the lower boundary using mixed boundary conditions. Three configurations of the heated regions distribution of the same heating area were considered. The total heat flux through the lower boundary substantially depends on the distribution of the heated regions and increases with decreasing of the heaters size, which is in a good agreement with Ripesi et al., 2014 and Bakhuis et al., 2018. It was found that in turbulent thermal convection under inhomogeneous boundary conditions large-scale circulation (LSC) is formed. Dynamics and structure of LSC strongly depends on the distribution of conducting regions. In case of Rayleigh-Benard convection, the main flow is more complex with higher-order modes prevailing. Time-averaged velocity field revealed the existence of two vortex rings rotating in opposite directions and located near horizontal walls. Decomposing the velocity into free-slip modes allowed us to find that these vortex rings are stable and provide the most of system energy. The absence of mean LSC results in a specific convective heat transfer mechanism when mean and turbulent heat fluxes are spatially separated.
机译:在均匀的和非均匀加热下在立方腔中进行了数量地研究了湍流热对流,用于瑞利数Ra = 10〜7和Prandtl Number Pr = 6.46。仅使用混合边界条件在较低边界处产生不均匀加热。考虑了相同加热区域的加热区域的三个配置。通过下边界的总热量通量基本上取决于加热区域的分布,随着加热器的尺寸的降低而增加,这与Ripesi等人和Bakhuis等,2018年的良好协议。它被发现在湍流热对流中,形成大规模循环(LSC)。 LSC的动态和结构强烈取决于导电区域的分布。在Rayleigh-Benard对流的情况下,主流更复杂,具有更高阶模式。时间平均速度场显示出两个涡旋环的存在,在相反方向上旋转并位于水平墙附近。将速度分解成自由滑移模式允许我们发现这些涡旋环是稳定的并且提供最大的系统能量。当平均和湍流热量在空间分离时,没有平均LSC导致特定的对流传热机制。

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