Recovery of the Rayleigh capillary instability from slender 1-D inviscid and viscous models

DOI10.1063/1.868673zbMath1026.76525OpenAlexW2040225206MaRDI QIDQ4425630

Stephen E. Bechtel, M. Gregory Forest, C. D. Carlson

Publication date: 9 December 2003

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

Full work available at URL: https://doi.org/10.1063/1.868673

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible inviscid fluids (76B45) Interfacial stability and instability in hydrodynamic stability (76E17) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Related Items (12)

On the breakup of spiralling liquid jets ⋮ Mechanisms of free-surface breakup in vibration-induced liquid atomization ⋮ The motion of a falling liquid filament ⋮ The stretching of an electrified non-Newtonian jet: A model for electrospinning ⋮ The long-time motion of vortex sheets with surface tension ⋮ Unsteady flow of an axisymmetric annular film under gravity ⋮ Instabilities and singularities in Hele–Shaw flow ⋮ Pinching threads, singularities and the number 0.0304... ⋮ One-dimensional models for slender axisymmetric viscous liquid bridges ⋮ Nonlinear dynamics and breakup of free-surface flows ⋮ The role of microstructure in taming the Rayleigh capillary instability of cylindrical jets ⋮ 1-D models for thin filaments of liquid-crystalline polymers: coupling of orientation and flow in the stability of simple solutions

Cites Work

• Change-of-type behavior in viscoelastic slender jet models
• Practical application of a higher order perturbation theory for slender viscoelastic jets and fibers
• One‐Dimensional Liquid Fibers
• A Cascade of Structure in a Drop Falling from a Faucet
• Flows of thin streams with free boundaries
• On a Mathematical Model for Fiber Tapering
• Slender Jets and Thin Sheets with Surface Tension
• Vertical slender jets with surface tension
• Capillary waves on a vertical jet
• Oscillations of drops in zero gravity with weak viscous effects
• Slender streams
• The nonlinear capillary instability of a liquid jet. Part 1. Theory
• Vertical slender jets
• Nonlinear breakup of a laminar liquid jet
• Drop Formation from a Liquid Jet: A Linear One-dimensional Analysis Considered as a Boundary Value Problem
• The shape of free jets of water under gravity
• Slender streams with gravity: Outer asymptotic expansions. I
• Slender streams with gravity: Outer asymptotic expansions. II
• Use of one-dimensional Cosserat theory to study instability in a viscous liquid jet
• Drop formation in a one-dimensional approximation of the Navier–Stokes equation
• Torsional Effects in High-Order Viscoelastic Thin-Filament Models
• Spatial instability of a jet
• Theory of drop formation
• Drop Formation in a Liquid Jet
• The nonlinear capillary instability of a liquid jet. Part 2. Experiments on jet behaviour before droplet formation
• The nonlinear capillary instability of a liquid jet. Part 3. Experiments on satellite drop formation and control
• Non-linear capillary instability of a liquid jet
• Finite amplitude effect on the stability of a jet of circular cross-section
• Nonlinear Stability of a Liquid Jet

This page was built for publication: Recovery of the Rayleigh capillary instability from slender 1-D inviscid and viscous models