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Numerical simulation of the flow stability in a high aspect ratio Taylor-Couette system submitted to a radial temperature gradient

机译：径向温度梯度下高纵横比Taylor-Couette系统中流动稳定性的数值模拟

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From 28 high-order DNS computations, one investigates the formation of instabilities due to the strong competition between an azimuthal flow induced by rotation and an axial flow due to convection in a tall Taylor-Couette apparatus (Γ = 80, η = 0.8) submitted to a radial temperature gradient. One explores the richness of the transition diagram that reports seven different flow patterns appearing either as spiral rolls, wavy vortices or a combination of both depending on the Taylor and Rayleigh numbers. The partial spiral regime observed experimentally by Guillerm [1] is not recovered at very low Rayleigh numbers. The spatio-temporal properties of the different spirals close to the threshold of the primary instability are fairly predicted and a new insight on the flow and thermal structures of the instabilities is gained from this study. Finally, the distributions of the Nusselt number against the Taylor number are established for various Rayleigh numbers.
机译：从28个高阶DNS计算中，研究了在提交的高Taylor-Couette装置（Γ= 80，η= 0.8）中旋转引起的方位角流与对流引起的轴向流之间的激烈竞争而导致的不稳定性形成。到径向温度梯度。人们探索了过渡图的丰富性，该过渡图报告了七种不同的流型，这些流型要么呈螺旋状，呈波浪状涡流，要么呈泰勒数和瑞利数两种形式的组合。吉列姆[1]实验观察到的部分螺旋状态无法在非常低的瑞利数下恢复。合理地预测了接近主不稳定性阈值的不同螺旋的时空特性，并从该研究中获得了对不稳定性的流动和热结构的新见解。最后，针对各种瑞利数建立了努塞尔数对泰勒数的分布。

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