Shapes of two-dimensional bubbles deformed by circulation

DOI10.1088/0951-7715/13/6/313zbMath0976.76011OpenAlexW2034705396MaRDI QIDQ4521397

Darren G. Crowdy, Rudolf Wegmann

Publication date: 19 December 2000

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/53e760c18d7481c4a2979cce105bb8a5bc62966e

zbMATH Keywords

shapebifurcationbalance equationsurface tensionrational functionsinviscid flowcirculationpressure forcestwo-dimensional bubblebubble's boundary ripples

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible inviscid fluids (76B45) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Complex variables methods applied to problems in fluid mechanics (76M40)

Related Items (10)

Structure and stability of hollow vortex equilibria ⋮ 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 ⋮ Overhanging and touching waves in constant vorticity flows ⋮ Exact solutions for the shape of a two-dimensional conducting liquid drop in a non-uniform electric field ⋮ The corotating hollow vortex pair: steady merger and break-up via a topological singularity ⋮ ‘H-states’: exact solutions for a rotating hollow vortex ⋮ A note on electrified droplets

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