Equilibrium shapes of a heterogeneous bubble in an electric field: a variational formulation and numerical verifications

DOI10.1098/rspa.2016.0494zbMath1404.76296OpenAlexW2598986029WikidataQ54894332 ScholiaQ54894332MaRDI QIDQ4647143

Publication date: 4 January 2019

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

Full work available at URL: https://doi.org/10.1098/rspa.2016.0494

zbMATH Keywords

variational formulation Maxwell stress equilibrium shape electro-mechanical coupling

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Liquid-gas two-phase flows, bubbly flows (76T10) Electro- and magnetostatics (78A30)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Weak variations of Lipschitz graphs and stability of phase boundaries
Minimum stress optimal design with the level set method
An energy formulation of continuum magneto-electro-elasticity with applications
On electric body forces and Maxwell stresses in nonlinearly electroelastic solids
Numerical modelling of EHD effects on heat transfer and bubble shapes of nucleate boiling
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
A continuum theory of elastic material surfaces
Structural optimization using sensitivity analysis and a level-set method.
Structural boundary design via level set and immersed interface methods
On energy formulations of electrostatics for continuum media
Modeling, shape analysis and computation of the equilibrium pore shape near a PEM-PEM intersection
Stress tensors in elastic dielectrics
Injection of bubbles in a quiescent inviscid liquid under a uniform electric field
Study of the behavior of a bubble attached to a wall in a uniform electric field
NUMERICAL STUDY OF THE BEHAVIOR OF A BUBBLE ATTACHED TO A TIP IN A NONUNIFORM ELECTRIC FIELD
Differentiation with Respect to the Domain in Boundary Value Problems
An Electrohydrodynamic Equilibrium Shape Problem for Polymer Electrolyte Membranes in Fuel Cells
Influence of electric field on single gas-bubble growth and detachment in microgravity
Experimental study on nucleate boiling enhancement and bubble dynamic behavior in saturated pool boiling using a nonuniform dc electric field
Disintegration of water drops in an electric field
Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum

This page was built for publication: Equilibrium shapes of a heterogeneous bubble in an electric field: a variational formulation and numerical verifications