A mathematical model for the secondary drying of a freeze-drying process

[摘要] In this manuscript a mathematical model describing the secondary drying stage of a freeze-drying process is presented. The model consists in governing equations for the transport of an air-vapour mixture in a porous medium. The production of water vapour due to the desorption of bound water is accounted for by means of a source term in the equation for the water vapour concentration. We show how, in the limit of small Peclet numbers, the model can be solved analytically. In addition, we provide with an explicit expression for the total time for the secondary drying stage of the freeze-drying process amenable for real time control applications.

[发布机构] Pharmaceutical Manufacturing Technology Centre, University of Limerick, Limerick, Ireland^1;MACSI, Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland^2

[效力级别] 数学

[关键词] Bound waters;Freeze-drying process;Governing equations;Porous medium;Secondary drying;Secondary drying stage;Source terms;Water vapour