Some analytical properties of solutions to a two-dimensional steadily translating inviscid bubble

DOI10.1098/rspa.1996.0071zbMath0872.76008OpenAlexW2079923770MaRDI QIDQ3127890

Saleh Tanveer

Publication date: 23 October 1997

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1996.0071

zbMATH Keywords

polar decompositionsurface tension effectsBernoulli constantconformal mapping function

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)

Related Items (8)

Exact solutions for shapes of two-dimensional bubbles in a corner flow ⋮ The deformation of an elastic cell in a circulatory fluid motion ⋮ Singularity theory of plane curves and its applications ⋮ 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 Deformation and Stability of an Elastic Cell in a Uniform Flow ⋮ ‘H-states’: exact solutions for a rotating hollow vortex ⋮ A note on electrified droplets

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