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

doi:10.1007/s10483-018-2385-6

Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (11): 1631-1642.doi: https://doi.org/10.1007/s10483-018-2385-6

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

Shuhai ZHANG

State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang 621000, Sichuan Province, China

收稿日期:2018-03-20 修回日期:2018-06-19 出版日期:2018-11-01 发布日期:2018-11-01
通讯作者: Shuhai ZHANG E-mail:shuhaizhang@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11372340 and 11732016)

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

Shuhai ZHANG

State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang 621000, Sichuan Province, China

Received:2018-03-20 Revised:2018-06-19 Online:2018-11-01 Published:2018-11-01
Contact: Shuhai ZHANG E-mail:shuhaizhang@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11372340 and 11732016)

摘要/Abstract

摘要： 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.

关键词: Burgers shock wave, infinitesimal disturbance, stability, asymptotically stable, tubular limiting stream surface, tornado, three-dimensional (3D) vortical flow

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.

Key words: asymptotically stable, Burgers shock wave, infinitesimal disturbance, stability, tubular limiting stream surface, tornado, three-dimensional (3D) vortical flow

中图分类号:

76N20

Shuhai ZHANG. Tubular limiting stream surface: “tornado” in three-dimensional vortical flow[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(11): 1631-1642.

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

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

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