Circulation-induced shape deformations of drops and bubbles: Exact two-dimensional models

DOI10.1063/1.870142zbMath1149.76354OpenAlexW1999124534MaRDI QIDQ3543842

Darren G. Crowdy

Publication date: 5 December 2008

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/dd1c7027dc0c972994dbc00b220fc4fb46ffcd01

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (14)

Structure and stability of hollow vortex equilibria ⋮ On the motion of unsteady translating bubbles in an unbounded Hele-Shaw cell ⋮ Exact solutions for the static dewetting of two-dimensional charged conducting droplets on a substrate ⋮ Exact solutions for shapes of two-dimensional bubbles in a corner flow ⋮ Stationary two-dimensional inviscid flow with flexible boundaries including the effect of surface tension ⋮ The deformation of an elastic cell in a circulatory fluid motion ⋮ Traveling capillary waves on the boundary of a fluid disc ⋮ Exact solutions for the shape of a two-dimensional conducting liquid drop in a non-uniform electric field ⋮ Non-canonical Hamiltonian structure and Poisson bracket for two-dimensional hydrodynamics with free surface ⋮ The corotating hollow vortex pair: steady merger and break-up via a topological singularity ⋮ Deformation of a liquid surface due to an impinging gas jet: A conformal mapping approach ⋮ The effect of core size on the speed of compressible hollow vortex streets ⋮ ‘H-states’: exact solutions for a rotating hollow vortex ⋮ A note on electrified droplets

Cites Work

• An exact solution for progressive capillary waves of arbitrary amplitude
• Limiting forms for capillary-gravity waves
• Bubble or drop distortion in a straining flow in two dimensions
• On the shape of a two-dimensional bubble in uniform motion
• Exact large amplitude capillary waves on sheets of fluid

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