Nonlinear dynamics of viscous droplets

DOI10.1017/S0022112094003290zbMath0818.76009OpenAlexW2123644635MaRDI QIDQ4304693

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Publication date: 31 August 1994

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112094003290

zbMATH Keywords

boundary integral methodGalerkin finite element methodlarge-amplitude oscillationsGauss variational principlemode expansions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Capillarity (surface tension) for incompressible viscous fluids (76D45) Free boundary problems for PDEs (35R35)

Related Items

Nonlinear modal equations for a levitating drop, Effects of gravity on natural oscillations of sessile drops, Generalizing the multimodal method for the levitating drop dynamics, Spheroidal droplet deformation, oscillation and breakup in uniform outer flow, Three-dimensional oscillations of inviscid drops induced by surface tension, Modulation equations for strongly nonlinear oscillations of an incompressible viscous drop, Nonlinear dynamics and breakup of free-surface flows, On finite element modelling of surface tension. Variational formulation and applications. II: Dynamic problems

Cites Work

• Nonlinear oscillations of inviscid free drops
• Klassische Runge-Kutta-Formeln vierter und niedrigerer Ordnung mit Schrittweiten-Kontrolle und ihre Anwendung auf Wärmeleitungsprobleme
• Experimental and theoretical investigation of large-amplitude oscillations of liquid droplets
• Nonlinear oscillations of inviscid drops and bubbles
• Third-order resonance effects and the nonlinear stability of drop oscillations
• Oscillations of drops in zero gravity with weak viscous effects
• Free oscillations of drops and bubbles: the initial-value problem
• Nonlinear oscillations of viscous liquid drops
• Algorithm 644