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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Heat transport in rotating-lid Rayleigh-Benard convection
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Heat transport in rotating-lid Rayleigh-Benard convection

机译：旋转盖瑞利奔驰对流中的热传输

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摘要

We perform a direct numerical simulation of three-dimensional Navier-Stokes equations for a Rayleigh-Benard convection system in a stationary cylinder with the top cold lid rotating. This convection system with an imposed swirl flow is a canonical problem for investigating axial vortices under unstable thermal gradients. The base flow is established by rotating the top lid and the fluid moves azimuthally along the side vertical wall into a meridional flow in the r - z plane. This forms an axial vortex core at the axis of the cylinder. This axial core, under a certain rotational Reynolds number (Re), breaks down to a vortex breakdown bubble whose dynamics are modified under thermal convection. We study the effect of rotation on varying Re for a Rayleigh number Ra = 2 x 10(5). The equations are formulated in such a way that the rotating-lid cylinder and Rayleigh-Benard convection are extreme cases of the same numerical set up. From the present study, we find that as the rotational rate is increased, the system dynamics shift from a convection-dominated flow regime to a rotation-dominated regime. This shift in dynamics is quantified using the volume-averaged and time-averaged temperature, the heat flux, the thickness of the Bodewadt boundary layer and the relative Nusselt number. These quantities are shown to demarcate the convection- and rotation-dominated regimes, as compared to the qualitative description of flow patterns from velocity and temperature contours.
机译：我们在具有顶部冷盖旋转的固定圆筒中为瑞利 - 良性对流系统进行三维Navier-Stokes方程的直接数值模拟。这种具有施加涡流的对流系统是用于在不稳定的热梯度下研究轴向涡流的规范问题。通过旋转顶盖建立碱流，并且流体沿着侧竖直壁方形方形超前移动到R - Z平面中的子午流中。这在圆筒的轴处形成轴向涡旋芯。该轴向芯在一定的旋转雷诺数（RE）下，拆分到涡流击穿气泡，其动力学在热对流下被修改。我们研究rayleigh号Ra = 2×10（5）的不同Re上的旋转效果。等式以这样的方式配制，使得旋转盖式圆筒和瑞利·贝纳特对流是相同数值设置的极端情况。从本研究中，我们发现随着转速增加，系统动力学从对流主导的流动制度转变为旋转主导的制度。使用体积平均和时间平均温度，热通量，Bodewadt边界层的厚度和相对露珠数量来量化动态的这种转变。与来自速度和温度轮廓的流动模式的定性描述相比，这些数量被示出划分对流和旋转主导的制度。

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