Equilibrium shapes and stability of charged and conducting drops

DOI10.1063/1.857583zbMath0712.76095OpenAlexW2023294286MaRDI QIDQ3197581

N. A. Pelekasis, John A. Tsamopoulos, George D. Manolis

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.857583

zbMATH Keywords

transcritical bifurcationboundary element techniquestruncation problemsfinite element methodology

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Boundary element methods applied to problems in fluid mechanics (76M15) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items

Low density phases in a uniformly charged liquid, Shapes and stability of pendant and sessile dielectric drops in an electric field, On an Isoperimetric Problem with a Competing Nonlocal Term II: The General Case, Nonlinear oscillations of pendant drops, A nonlinear small-deformation theory for transient droplet electrohydrodynamics, Construction of exact solutions for equilibrium configurations of the boundary of a conducting liquid deformed by an external electric field, Transient response of a capsule subjected to varying flow conditions: Effect of internal fluid viscosity and membrane elasticity, A hybrid finite-boundary element method for inviscid flows with free surface, Nonlinear oscillations of liquid shells in zero gravity, A Hybrid Boundary/Finite Element Method for Simulating Viscous Flows and Shapes of Droplets in Electric Fields

Cites Work

• The deformation energy of a charged drop. IV: Evidence for a discontinuity in the conventional family of saddle point shapes
• Resonant oscillations of inviscid charged drops
• Comparison of boundary and finite element methods for moving-boundary problems governed by a potential
• Shape of a drop in an electric field
• The dependence of the shape and stability of captive rotating drops on multiple parameters
• Stokes flow past a particle of arbitrary shape: a numerical method of solution
• Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
• The deformation of steep surface waves on water - I. A numerical method of computation
• Rising bubbles
• Disintegration of water drops in an electric field
• The Mechanism of Nuclear Fission
• Calculations in the Liquid-Drop Model of Fission