Modeling of freeze-drying of mares milk taking into account cracks
Bekibayev T. Zhapbasbayev U. Imanbayeva N. Rakhmatulina A.
September 2025Elsevier Ltd
International Communications in Heat and Mass Transfer
2025#167
The article presents the results of calculations of sublimation drying of mares milk without cracks in the porous structure of the product and taking into account the formation of a crack. In the case of a crack, the calculation was carried out taking into account the cracking of the product at 4:00 h and the change in the permeability of the porous body during crack formation. Stefans problem of the mares milk sublimation process is solved by the numerical phase field method. The calculations obtained the distributions of temperature, pressure and steam velocity, showing the development of the sublimation front in the porous structure of the product over time. Without a crack, the sublimation front spreads from top to bottom of the product almost uniformly along the length of the porous structure and is in agreement with the known data. When cracks form in the porous structure, the front disintegrates into semi-independent drying zones. The crack leads to a decrease in pressure at the sublimation front and draws in steam from the product in its vicinity. The calculations showed that the presence of a crack accelerates the process of sublimation drying of mares milk.
Crack in the porous structure of the product , Freeze drying , Mares milk
Text of the article Перейти на текст статьи
Department of Mechanical Engineering and Robotics, U. Joldasbekov Institute of Mechanics and Engineering, Shevchenko Str. 28, Almaty, 050010, Kazakhstan
Scientific and Production Laboratory “Modeling in Energy”, Satbayev University, Satbayev Str. 2, Almaty, Kazakhstan
Department of Mechanical Engineering, Satbayev University, Satbayev Str. 22, Almaty, 050000, Kazakhstan
Department of Automation and Robotics, Almaty Technological University, Tole Bi Str., Almaty, 050000, Kazakhstan
Department of Mechanical Engineering and Robotics
Scientific and Production Laboratory “Modeling in Energy”
Department of Mechanical Engineering
Department of Automation and Robotics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026