# Adapting the laws of coagulation process to mathematical model of carbon dioxide formation

**DOI: 10.17586/1606-4313-2020-19-2-73-78**

**UDC 621.594**

## Adapting the laws of coagulation process to mathematical model of carbon dioxide formation

**Danilov M.M. , Apitsyna O.S.**

**For citation:**Danilov M.M., Apitsyna O.S. Adapting the laws of coagulation process to mathematical model of carbon dioxide formation. Vestnik Mezhdunarodnoi akademii kholoda. 2020. No 2. p.73-78

**Abstract**

When a gas stream containing vapors of carbon dioxide expands in low-temperature turbo expanders a crystal formation process occurs, i.e. part of the vapor goes into a solid state. Crystals nucleate in certain sections of the flow part of the expanders and grow as they move in the flow. Therefore, crystals of carbon dioxide of various sizes can be found in each of those sections. As a result of their interaction, coagulation can occur, expressed as the adhesion of smaller crystals to larger ones. The influence of the coagulation process on the change in the number of smaller crystals and on the growth of larger ones is considered. This will allow, if necessary, to make adjustments to the mathematical model of the crystal formation process. A mathematical apparatus has been developed to calculate the coagulation process of carbon dioxide crystals. Practical research results are given indicating a small number of crystals capable of coagulation under the considered conditions.

**Keywords:**carbon dioxide crystals, coagulation, sections of the flow part, number of crystals, crystal parameter, groups of crystals, expansion of the gas mixture.

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