(color online) The time evolution of the filling length [(a)–(c)] and the number of trapped gas [(d)]. The value of α is varied while the other two are set as D = 1 and κ = 0.1. (a) Comparison between open model and soluble gas model. (b) Comparison between insoluble (insol) gas model and soluble gas model. (c) and (d) Comparison of soluble gas model and linear model.