Author(s)

H. Wong, D. Rumschitzki & C. Maldarelli

Abstract

We study the motion of pendant bubbles expanding or contracting with constant volume flow rate at the end of a capillary tube. We focus on the effect of viscous forces by deforming the bubble at order one capillary numbers and small Reynolds number. The liquid flow therefore obeys the Stokes equation, and the corresponding boundary integral equations are solved numerically by the Nystrom method. Thus, each integral is expressed as a sum using a N-point Gauss-Legendre quadrature over the whole domain. Since this method evaluates the integrand at only N points, it is much faster than the boundary element method. Further, for fixed N, the accuracy of the method can be systematically increased by analytically removing the most severe

Keywords