Applied Mathematics and Mechanics

, Volume 39, Issue 11, pp 1631–1642 | Cite as

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

  • Shuhai ZhangEmail author


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.

Key words

tubular limiting stream surface tornado three-dimensional vortical flow 

Chinese Library Classification


2010 Mathematics Subject Classification



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Copyright information

© Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.State Key Laboratory of AerodynamicsChina Aerodynamics Research and Development CenterMianyangChina

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