On the motion of a gas bubble in a rotating liquid
Abstract
The problem treats a constantdensity fluid rotating about a fixed horizontal axis at constant angular velocity. Small gas bubbles maintain their shape as they move through the fluid, and motion of the fluid per se occurs only in the vicinity of such bubbles given the rigidbody rotation of the fluid as a whole. Position, velocity, and acceleration of the bubble center is described in terms of a moving coordinate frame which is stationary relative to the rotating fluid. Bubble mass is vanishingly small compared to the mass of the fluid. A Lagrangean problem in higher dynamics is developed, and numerical integration by the KuttaRungeNystrom method is carried out. Variation of bubble diameter with time and relative velocity are studied. A wateralcohol mixture (40 + 60%) was used in the experimental work.
 Publication:

Gesellschaft Angewandte Mathematik und Mechanik Workshop Paris France
 Pub Date:
 March 1976
 Bibcode:
 1976GaMuM..56..229S
 Keywords:

 Bubbles;
 Fluid Flow;
 Gas Dynamics;
 LiquidGas Mixtures;
 Rotating Fluids;
 RungeKutta Method;
 Angular Velocity;
 Density Distribution;
 Mass Flow;
 Numerical Integration;
 Water;
 Fluid Mechanics and Heat Transfer