Self-similar solution for non-isothermal desorption-driven growth of a gas bubble in a supersaturated liquid
This work presents a theoretical model for the non-isothermal desorption-driven growth of a gas bubble in a supersaturated solution. The model is formulated as a boundary value problem that couples the heat and mass transfer equations at a moving interphase boundary, where local thermodynamic equilibrium is maintained. It is shown that over time, the process reaches a self-similar state characterized by a parabolic bubble growth law. An exact analytical solution is derived for the concentration and temperature fields, as well as the growth coefficient in the bubble radius evolution. Parametric analysis demonstrates that thermal effects due to the latent heat of desorption can significantly delay bubble growth. Their influence is governed by a dimensionless parameter that combines the initial supersaturation, the phase transition criterion, and the Lewis number. Conditions under which these thermal effects can be neglected are established. The results are illustrated using an aqueous lithium-bromide solution. The findings highlight the importance of coupled heat- and mass-transfer analysis in conjugate processes and provide a theoretical basis for optimizing technologies involving liquid degassing, as well as for interpreting experimental data. © 2026
Библиографическая ссылка Chernov AndreyA., Pil’nik A.A., A.A. Levin Self-similar solution for non-isothermal desorption-driven growth of a gas bubble in a supersaturated liquid // International Communications in Heat and Mass Transfer. Vol.172. ID:110702. 2026. DOI: 10.1016/j.icheatmasstransfer.2026.110702
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