Article ID Journal Published Year Pages File Type
7051214 European Journal of Mechanics - B/Fluids 2016 5 Pages PDF
Abstract
Streamlined orthogonal coordinates are derived for the core of Hill's spherical vortex. Each core boundary of Norbury's family of vortex rings is a scaled streamline from Hill's spherical vortex. A formula is given that relates the dimensionless mean core radius of each member of this family to its boundary. A new dimensionless mean core radius for vortex rings is presented that varies between 0 and 1 rather than 0 and the square root of 2, and requires that fewer geometrical parameters be specified in order to uniquely define the core area for each member of the family of vortex rings.
Related Topics
Physical Sciences and Engineering Chemical Engineering Fluid Flow and Transfer Processes
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