A computational study of rising plane Taylor bubbles

DOI10.1006/jcph.1999.6366zbMath0961.76069OpenAlexW2028743822MaRDI QIDQ1971392

Prabir K. Daripa

Publication date: 23 March 2000

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

Full work available at URL: https://semanticscholar.org/paper/9f9916163ce372d6fe1be0a373aa2600b7e737a5

zbMATH Keywords

one-parameter family of solutionstransition pointscritical Froude numberNewton's iterationsBirkhoff's formulationplane bubbleseries representation method

Mathematics Subject Classification ID

Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items

Complex singularities near the intersection of a free surface and wall. Part 1. Vertical jets and rising bubbles ⋮ Existence of a solitary planar bubble in symmetric channels

Cites Work

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• Fingering in Hele-Shaw cells
• Rising bubbles in a two-dimensional tube with surface tension
• A remark about pointed bubbles
• Analytic theory for the selection of a symmetric Saffman–Taylor finger in a Hele–Shaw cell
• On the forming of sharp corners at a free surface
• The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
• The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I

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