versión On-line ISSN 0718-0764
RAMIREZ-MUNOZ, Jorge; SORIA, Alberto y SALINAS-RODRIGUEZ, Elizabeth. Hydrodynamic Model for the Velocity of a Bubble Pair Rising In-line. Inf. tecnol. [online]. 2007, vol.18, n.4, pp.63-74. ISSN 0718-0764. http://dx.doi.org/10.4067/S0718-07642007000400010.
A hydrodynamic analysis on the interaction of two equal-size spherical bubbles aligned on the direction of a uniform, laminar, newtonian and incompressible flow, is presented. The leading bubble is considered as an isolated bubble and the trailing bubble (second bubble) is subjected to four forces: buoyancy, quasisteady drag, fluid impulse and added mass. By applying a force balance on each bubble, an expression for the rising velocity of the trailing bubble was obtained. Comparison of this expression with existing experimental data for 3.06, 21.5 and 35.4 Reynolds number was performed, obtaining a relative average error between 1.2% and 2.1%. Two possible approaches on the trailing bubble drag reduction effect are discussed. It was found that a quasisteady drag is, by itself, unable to incorporate the whole wake effect on the trailing bubble.
Palabras clave : hydrodynamic model; bubble velocity; wake effect; drag.