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Tubular limiting stream surface: “tornado” in three-dimensional vortical flow

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Abstract

A new physical structure of vortical flow, i.e., tubular limiting stream surface (TLSS), is reported. It is defined as a general mathematical structure for the physical flow field in the neighborhood of a singularity, and has a close relationship with limit cycles. The TLSS is a tornado-like structure, which separates a vortex into two regions, i.e., the inner region near the vortex axis and the outer region further away from the vortex axis. The flow particles in these two regions can approach to (or leave) the TLSS, but never could reach it.

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Correspondence to Shuhai Zhang.

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Project supported by the National Natural Science Foundation of China (Nos. 11372340 and 11732016)

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Zhang, S. Tubular limiting stream surface: “tornado” in three-dimensional vortical flow. Appl. Math. Mech.-Engl. Ed. 39, 1631–1642 (2018). https://doi.org/10.1007/s10483-018-2385-6

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  • DOI: https://doi.org/10.1007/s10483-018-2385-6

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Chinese Library Classification

2010 Mathematics Subject Classification

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