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Origin of Turbulence pp 271–304Cite as

Stability of Taylor-Couette Flow Between Concentric Rotating Cylinders

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Abstract

The energy gradient theory is used to study the instability of Taylor-Couette flow between two concentric rotating cylinders, and the critical condition of the primary instability is in agreement with the experiments in the literature. It is shown that turbulent transition in Taylor-Couette flows is generated by the singularities raised in disturbed laminar flow. A mechanism of energy transfer between fluid layers gives the description of fluid flow and flow instability. It is uncovered by simulations of Taylor-Couette flow with LES that the discontinuity of tangential velocity caused by zero-shear-stress in temporal evolution leads to spikes, which form the singularities of the flow field. As the Reynolds number increases, these spikes can be maintained and thus results in turbulence. These velocity spikes caused by zero-shear-stress form the large scale structure in the core region of the channel.

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  1. Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou, Zhejiang, China

    Hua-Shu Dou

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Dou, HS. (2022). Stability of Taylor-Couette Flow Between Concentric Rotating Cylinders. In: Origin of Turbulence. Springer, Singapore. https://doi.org/10.1007/978-981-19-0087-7_9

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  • DOI: https://doi.org/10.1007/978-981-19-0087-7_9

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  • Online ISBN: 978-981-19-0087-7

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