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This chapter briefly reviews the mathematical studies of molecular vortices, vortex atoms, spherical vortex, spiral vortex and the notion of ‘vorticity’ from 1851 to 1954. Rankine’s work on molecular vortices stimulated Thomson’s work on vortex atoms. Hill’s spherical vortex is very important to our understanding of isotropic turbulence and knot and vortex seem to be well embedded in Hicks’s spiral vortex concept. Lamb’s re-interpretation of ‘vorticity’ played an important role in vortex motion. In a way, Truesdell’s work is further extended and refined in this book.

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The Mathematical Studies of Molecular Vortices, Vortex Atoms, Spherical Vortex, Spiral Vortex and the Notion ‘Vorticity’ from 1851 to 1954

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  • 发表日期：

    2026年

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  • John Z. Shi

摘要

This chapter briefly reviews the mathematical studies of molecular vortices, vortex atoms, spherical vortex, spiral vortex and the notion of ‘vorticity’ from 1851 to 1954. Rankine’s work on molecular vortices stimulated Thomson’s work on vortex atoms. Hill’s spherical vortex is very important to our understanding of isotropic turbulence and knot and vortex seem to be well embedded in Hicks’s spiral vortex concept. Lamb’s re-interpretation of ‘vorticity’ played an important role in vortex motion. In a way, Truesdell’s work is further extended and refined in this book.