A three-dimensional linear stability analysis for two-dimensional free boundary flows by the finite-element method

DOI10.1016/0045-7930(83)90023-3zbMath0526.76044OpenAlexW1994359266MaRDI QIDQ594697

Kenneth J. Ruschak

Publication date: 1983

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(83)90023-3

zbMATH Keywords

matrix eigenvalue problemsurface tensionfinite-element methodtwo-dimensionalfree boundariessteadysmall, three- dimensional disturbancesstability predictions for stationary layer and air displacing liquid in Hele-Shaw cell

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrodynamic stability (76E99) Basic methods in fluid mechanics (76M99)

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Finding leading modes of a viscous free surface flow: An asymmetric generalized eigenproblem, Free-surface Taylor vortices, Filtering the eigenvalues at infinite from the linear stability analysis of incompressible flows, Three-dimensional stability analysis of free surface flows: Application to forward deformable roll coating

Cites Work

• Unnamed Item
• Computer solutions of a plane Newtonian jet with surface tension
• Separating flow near a static contact line: Slip at a wall and shape of a free surface
• Finite element solution of viscous jet flows with surface tension
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• A method for incorporating free boundaries with surface tension in finite element fluid-flow simulators
• One-dimensional finite element method in hydrodynamic stability
• Boundary conditions at a liquid/air interface in lubrication flows
• The solution of viscous incompressible jet and free-surface flows using finite-element methods
• Frontal solution program for unsymmetric matrices
• Rimming flow: numerical simulation of steady, viscous, free-surface flow with surface tension
• Stability of parallel flows by the finite element method
• Cavitation of a viscous fluid in narrow passages
• The instability of uniform viscous flow under rollers and spreaders
• The flow of thin liquid films between rollers