THE EFFECT OF SURFACTANTS ON THE GROWTH OF UNDERPRESSURIZED, ANNULAR LIQUID JETS

Abstract

The effects of surfactants on the growth of isothermal, underpressurized, inviscid, annular liquid jets are studied under both steady state and transient conditions by means of an interfacial mass transfer law which depends on the equilibrium interfacial concentration and a mass resistance parameter. Equilibrium interfacial concentrations governed by both Henry's and Sievert's solubility laws are considered. It is shown that, for mass Biot numbers larger than unity, the underpressurized jet grows until the pressure of the gases enclosed by the annular liquid jet is equal to that of those surrounding the jet, while, for mass Biot numbers less than or equal to one, the pressure coefficient increases very little. It is also shown that, in some cases and contrary to the results observed in the absence of mass transfer resistance, the time required by the annular jet to reach a steady equilibrium configuration may be shorter when the equilibrium interfacial concentration is governed by Sievert's law than when it is governed by Hennry's solubility law, particularly at low Peclet numbers and for high mass transfer resistances.