The oblique rise of a viscous vortex ring toward a deformable free surface
type: Item
instance of: scholarly article
title: The oblique rise of a viscous vortex ring toward a deformable free surface
zbMATH Open document ID: 0823.76054
DOI: 10.1007/BF00987567
author: Hans J. Lugt
author: Samuel Ohring
published in: Meccanica
publication date: 1995-10-30T00:00:00Z
review text: A vortex ring in a viscous, incompressible fluid rises obliquely at an angle of \(45^ \circ\) toward a deformable free surface. The mathematical description of this flow situation is a time-dependent nonlinear free- surface problem that has been solved numerically for a three-dimensional laminar flow with the aid of the Navier-Stokes equations. Boundary-fitted coordinates were used that include adaptive gridding and grid refinement. For two different Froude numbers at Reynolds number 100, results are presented on the encounter of the vortex ring with the free surface, the deformation of the free surface, the decay of the primary vortices, the generation of surface vorticity and secondary vortices, and reconnection with the free surface.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 761211
zbMATH Keywords: ring reconnection
zbMATH Keywords: cylindrical sheet
zbMATH Keywords: boundary-fitted coordinates
zbMATH Keywords: time- dependent nonlinear free-surface problem
zbMATH Keywords: adaptive gridding
zbMATH Keywords: grid refinement
MaRDI profile type: Publication
cites work: The oblique ascent of a viscous vortex pair toward a free surface
cites work: Dynamics of Bilaterally Symmetric Vortex Rings
cites work: Vortex ring dynamics at a free surface
cites work: Normal and oblique collisions of a vortex ring with a wall
cites work: The boundary layer due to a three-dimensional vortex loop
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description: scientific article; zbMATH DE number 761211