Prediction of the molecular diffusion process of carbon dioxide in aqueous solutions of sugar beet molasses in an extended range of temperatures and dry matter concentrations

DOI: 10.17586/1606-4313-2026-25-2-92-100
UDC 544.03

Prediction of the molecular diffusion process of carbon dioxide in aqueous solutions of sugar beet molasses in an extended range of temperatures and dry matter concentrations

Alexander G. Novoselov, Loginov Andrey Yu. , Sorokin S.A., Igor V. Baranov, Chebotar A.V.

For citation: Novoselov A.G., Loginov A.Yu., Sorokin S.A., Baranov I.V., Chebotar A.V. Prediction of the molecular diffusion process of carbon dioxide in aqueous solutions of sugar beet molasses in an extended range of temperatures and dry matter concentrations. Journal of International Academy of Refrigeration. 2026. No 2. p. 92-100. DOI: 10.17586/1606-4313-2026-25-2-92-100 (in Russian)

Abstract
The article examines mass transfer in a carbon dioxide – beet molasses aqueous solution system. The aim of the study was to predict molecular diffusion coefficients (MDCs) for the use in mass transfer calculations during microorganism cultivation in biotechnological processes. A semi-empirical modified Wilk method was used to calculate the MDCs. It was assumed that the diffusion factor is constant and independent of temperature, which allowed us to predict the MDCs of this system for various temperature conditions. The initial data for the modeling were taken from literature sources. As a result, the numerical values of the diffusion coefficients were determined for the system in the temperature range from 20 to 50 ℃and at dry matter content from 0 to 77.7%. This allowed evaluating the behavior of the system both under standard cultivation conditions and near the process boundaries. Based on the data obtained, the dependence of the MDCs on temperature and concentration was established. A calculation equation valid for the studied ranges is proposed.

Keywords: mass transfer, molecular diffusion coefficient; sucrose; molasses, yeast, Wilk method, prediction, diffusion.