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国际计算热科学期刊
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 1.4

ISSN 打印: 1940-2503
ISSN 在线: 1940-2554

国际计算热科学期刊

DOI: 10.1615/ComputThermalScien.2020026393
pages 401-415

NUMERICAL AND EXPERIMENTAL MODELING OF LYOPHILIZATION OF LACTOSE AND MANNITOL WATER SOLUTIONS IN VIALS

M. Ramšak
Faculty of Mechanical Engineering, University of Maribor, Smetanova ulica 17, SI-2000 Maribor, Slovenia
M. Zadravec
Faculty of Mechanical Engineering, University of Maribor, Smetanova ulica 17, SI-2000 Maribor, Slovenia
Jure Ravnik
Faculty of Mechanical Engineering, University of Maribor, Smetanova ulica 17, SI-2000 Maribor, Slovenia
Jurij Iljaž
Faculty of Mechanical Engineering, University of Maribor, Smetanova ulica 17, SI-2000 Maribor, Slovenia
M. Avanzo
LEK d.d., Verovškova 57, SI-1526 Ljubljana, Slovenia
K. Kocevar
LEK d.d., Verovškova 57, SI-1526 Ljubljana, Slovenia
Š. Irman
LEK d.d., Verovškova 57, SI-1526 Ljubljana, Slovenia
M. Cegnar
LEK d.d., Verovškova 57, SI-1526 Ljubljana, Slovenia
Iztok Golobic
Faculty of Mechanical Engineering, University of Ljubljana, Aškerceva cesta 6, SI-1000 Ljubljana, Slovenia
A. Sitar
Faculty of Mechanical Engineering, University of Ljubljana, Aškerceva cesta 6, SI-1000 Ljubljana, Slovenia
Matjaz Hribersek
Faculty of Mechanical Engineering, University of Maribor, Smetanova ulica 17, SI-2000 Maribor, Slovenia

ABSTRACT

The paper reports on the development of a numerical model for the simulation of a lyophilization process in a vial. Lactose and mannitol-water mixtures are used as the working media. Experimental analysis of the lyophilization dynamics inside a single vial in a laboratory scale lyophilizer is reported, with the main focus on the primary drying phase. In order to assess the primary drying kinetics, the temperature distribution along the vertical axis of the samples is measured. In the numerical model, a one-dimensional (1D) vial approximation is used, and governing equations of the heat and water vapor transport with moving front between the frozen and the porous part of the filling are solved by a finite difference method in a time stepping nonlinear iteration procedure. A dedicated mapping of heat transfer boundary conditions, derived for the axisymmetric vial case, is applied for the case of the 1D vial geometry approximation. The main difference in the drying of lactose and mannitol solutions lies in the fact that the lactose shows undercooling effects during the primary drying phase, which is not the case for the mannitol solution. This effect is a consequence of shrinking behavior of the lactose porous cake, leading to a loss of contact with the vial side and hence to a decrease in the overall heat input to the vial. In order to account for the shrinking process in the numerical model, a linear approximation of the decrease of the heat transfer from the vial side wall during the simulation is introduced. The comparison of the numerical and experimental results shows that the developed numerical model is able to accurately capture the movement of the sublimation front, dividing the frozen from the porous part of the filling, at typical locations inside the vial, accompanied also by an accurate capturing of the temperature levels inside the drying material, with the derived numerical model also able to reproduce the temperature drop during the primary drying of the lactose solution.

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