RT Journal Article T1 Modeling of the bubbling process in a planar co-flow configuration A1 Bolaños Jimenez, Rocio A1 Sevilla Santiago, Alejandro A1 Martínez Bazán, C. AB This work presents an analytical model developed to describe the bubbling regime resulting from the injection of an air sheet of thickness 2H(o) with a mean velocity u(a) between two water streams of thickness H-w - H-o, moving at a uniform velocity u(w). Based on previous experimental and numerical characterizations of this flow, the gas stream is modeled as a two-dimensional sheet divided into three different parts in the streamwise direction: a neck that moves downstream at the water velocity, a gas ligament attached to the injector upstream of the neck, and a forming bubble downstream of the neck, whose uniform dimensionless half-thicknesses are eta(n)(tau), eta(l)(tau), eta(b)(tau) respectively, and the corresponding pressures are given by Pi(n)(tau), Pi(l)(tau), and Pi(b)(tau) Pi(n)(tau). Lengths are made dimensionless with H-o, and pressures with rho(a)u(a)(2) where rho(a) is the air density. PB Elsevier SN 0301-9322 YR 2016 FD 2016-06-01 LK https://hdl.handle.net/10016/35683 UL https://hdl.handle.net/10016/35683 LA eng NO This work has been supported by the Spanish MINECO (Subdi-rección General de Gestión de Ayudas a la Investigación), Junta de Andalucía, and European Funds under projects numbers DPI2014-59292-C3-1-P and DPI2014-59292-C3-3-P, and P11-TEP7495. Financial support from the University of Jaén, project UJA2013/08/05, is also acknowledged. DS e-Archivo RD 27 jul. 2024