The problem on the formation of a hydrate layer in a spherical particle with an ice core and on the surface of a gas bubble coming to the surface of… Click to show full abstract
The problem on the formation of a hydrate layer in a spherical particle with an ice core and on the surface of a gas bubble coming to the surface of a water was solved numerically. As a limiting scheme of hydrate formation in these cases, the diffusion mechanism, implying the diffusion of a gas (water) in the hydrate layer formed at the contact line between a gas and an ice or a water to the surface of contact of the hydrate with the ice, the water, or the gas, was adopted. A comparative analysis of the results of numerical calculations of the formation of a hydrate layer in the indicated cases with the corresponding experimental data made it possible to estimate the reduced coefficients of diffusion of a gas and water in such a hydrate layer. It is shown that the model of hydrate formation comprising kinetic relations, obtained as a result of the solution of a quasi-stationary diffusion equation, allows one to define the transformation of a water or a gas into the hydrate state with the use of a single empirical parameter having the dimensions of the diffusion coefficient. The qualitative and quantitative patterns of the formation of a hydrate particle, obtained with the use of the indicated kinetic relations, agree with the corresponding experimental data and theoretical calculations of other researchers, and by them, a large number of empirical parameters, which are not known in advance but should be determined, can be estimated.
               
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