Stability of Axisymmetric Liquid Bridges

2016/01/12 by Boris Rubinstein, Rubinstein, Boris
Computer Science · Physics and Astronomy · #53A10 #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Nonlinear Dynamics and Pattern Formation #msc:53A10 #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.1601.03018

32 pages, 13 figures

arxiv created 2016/01/12 · openalex publication_date 2016/01/12 · arxiv updated 2016/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study stability of axisymmetric liquid bridges between two axisymmetric solid bodies in the absence of gravity under arbitrary asymmetric perturbations which are expanded into a set of angular Fourier modes. We determine the stability region boundary for every angular mode in case of both fixed and free contact lines. Application of this approach allows us to demonstrate existence of stable convex nodoid menisci between two spheres.

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