Mathematical modeling of the primary and secondary vacuum freeze drying of random solids at microwave heating. (English) Zbl 1176.80032
Summary: This paper presents a complex model of the primary and secondary vacuum freeze-drying stages at microwave heating. The simulation of the process was performed for typical adsorbents which were chosen as ideal representatives of random solids having particle and bed porosity. One-dimensional two-region model of the primary freeze-drying at microwave heating was formulated and then solved numerically using the finite-difference MacCormack method. Varying during the process sublimation front temperature \(T_s(t)\) was taken into account. Simulated drying curves were compared with experimental results giving fairly good agreement. A mathematical model of the secondary freeze-drying at microwave heating was developed and solved using the numerical method of lines. Pressure drop in the material was taken into account and calculated using Ergun equation. As a result of the model solution, the moisture content and the temperature distributions in drying material were obtained. In both mathematical models steady internal heat source capacity was calculated as a function of material temperature.
MSC:
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
| 78A30 | Electro- and magnetostatics |
| 80M20 | Finite difference methods applied to problems in thermodynamics and heat transfer |
| 80A22 | Stefan problems, phase changes, etc. |
| 35Q79 | PDEs in connection with classical thermodynamics and heat transfer |
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