title: Dynamics of gas bubble growth in a supersaturated solution with Sievert's solubility law.
abstract: This paper presents a theoretical description of diffusion growth of a gas bubble after its nucleation in supersaturated liquid solution. We study systems where gas molecules completely dissociate in the solvent into two parts, thus making Sievert's solubility law valid. We show that the difference between Henry's and Sievert's laws for chemical equilibrium conditions causes the difference in bubble growth dynamics. Assuming that diffusion flux is steady we obtain a differential equation on bubble radius. Bubble dynamics equation is solved analytically for the case of homogeneous nucleation of a bubble, which takes place at a significant pressure drop. We also obtain conditions of diffusion flux steadiness. The fulfillment of these conditions is studied for the case of nucleation of water vapor bubbles in magmatic melts.
authors.affiliation: Department of Theoretical Physics, Research Institute of Physics, Saint-Petersburg State University, 1 Ulyanovskaya Street, Petrodvorets, St. Petersburg 198504, Russia. gennady_gor@mail.ru
authors.forename: G Yu
authors.initials: GY
authors.lastname: Gor
authors.forename: A E
authors.initials: AE
authors.lastname: Kuchma
mesh_terms: D004058:Diffusion; D005740:Gases / Q000737:chemistry*; D017640:Silicates / Q000737:chemistry; D012995:Solubility; D012996:Solutions; D013499:Surface Properties; D013816:Thermodynamics; D013997:Time Factors; D014867:Water / Q000737:chemistry
chemical_list: D005740:Gases; D017640:Silicates; D012996:Solutions; D014867:Water