Author(s)

R.M.S.M. Schulkes

Abstract

Nonlinear dynamics of capillary fountains R.M.S.M. Schulkes Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CBS 9EW, England ABSTRACT In this paper we present a numerical study of the evolution of a capillary foun- tain. Under the usual assumptions leading to potential theory and the additional assumption of rotational symmetry we consider the behaviour of a capillary free surface when fluid is ejected from a circular nozzle at a constant rate. The equa- tions governing the motion of the fluid are written in terms of an integral equation which is discretised using the boundary element method. Crucial in the numer- ical implementation is a regridding procedure by which new Lagrangian nodes are added to the free surface during the time integration in order to control the discretisation error and to prevent numerical instabilities. 1. INTRODUCTION Fountains occur in a wide variety of circumsta

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