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FREEZE DRYING PROCESS: MATHEMATICAL MODEL AND SIMULATION

机译:冷冻干燥过程:数学模型与仿真

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摘要

Freeze drying process has different applications including pharmaceutical products, foodstuffs (whose organoleptic properties are important and have to be maintained) and other industrial byproducts (conservation of living microorganism, dehydration or concentration of heat labile). Chemical products and production of a variety of different inorganic products are other applications. The interesting factors to analyze related to such process are the structural rigidity, which facilitates rapid and almost complete rehydration at a later time, little loss of flavor, and minimization of degradative reaction which normally occur in ordinary drying processes, such as protein denaturation, non enzymatic browning and enzymatic reactions. The interactions in the variables of this process are complex, and an experimental approach for examining the various operational policies is hard, expensive and time consuming. The freeze drying consist of the following three stages: the freezing stage, the primary drying stage and the secondary drying stage. In the freezing stage the material or solution is cooled down to a temperature where all is in a frozen state. The solvent is removed by sublimation under a vacuum pressure and heat addiction in the primary drying stage. In the secondary drying stage the solvent is removed of the chamber. This research proposal is a mathematical model based in an existent equations (LIAPIS et. al., 1997). A mathematical model was developed and solved in order to describe quantitatively the dynamic behaviour of the primary and secondary drying stage. The model results were compared with real data to verify the model prediction performance. The freeze drying equations was solved by orthogonal collocation, and the model allows for extensive simulation to be made, so that it was possible to observe which were the design as well as operational variables, which more significantly impact on the system behaviour. The objective was to obtain a mathematical model that could predict the experimental data to simulate the process to aim at high quality dried product with the minimum time process. The results show that the proposed model presents much better prediction compared to existent models published in literature with a very good agreement in relation to experimental data.
机译:冷冻干燥过程具有不同的应用,包括药品,食品(感官特性很重要,必须保持)和其他工业副产品(生物的保存,脱水或热不稳定)。化学产品和生产各种不同的无机产品的其他应用。与该过程相关的有趣分析因素是结构刚度,该刚度有助于在稍后的时间进行快速且几乎完全的补液,很少有风味损失,并且最小化通常在普通干燥过程中发生的降解反应,例如蛋白质变性,酶促褐变和酶促反应。此过程中变量之间的相互作用非常复杂,并且用于检查各种操作策略的实验方法困难,昂贵且耗时。冷冻干燥包括以下三个阶段:冷冻阶段,初级干燥阶段和次级干燥阶段。在冷冻阶段,将材料或溶液冷却至全部处于冷冻状态的温度。在初步干燥阶段中,通过在真空压力和热成瘾下升华来除去溶剂。在第二干燥阶段,将溶剂从腔室中去除。该研究建议是基于现有方程的数学模型(LIAPIS等,1997)。为了定量描述初级和次级干燥阶段的动态行为,开发并求解了数学模型。将模型结果与真实数据进行比较,以验证模型预测性能。冷冻干燥方程是通过正交搭配求解的,该模型可以进行广泛的仿真,因此可以观察设计和操作变量中的哪一个,它们对系统性能的影响更大。目的是获得一个数学模型,该模型可以预测实验数据以模拟过程,从而以最少的时间过程瞄准高质量的干燥产品。结果表明,与文献中发表的现有模型相比,所提出的模型具有更好的预测效果,并且与实验数据具有很好的一致性。

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