Analytical solution of freeze-drying mathematical model based in Darcy’s law: application to an orange juice-based cake

An analytical solution for moisture dynamic during freeze-drying based in non-ideal Darcy’s law that resolves the singularity at zero time was deducted. The is represented by a pseudo permeability (K∗) and deviation index (n). must be complemented with numerical of Fourier’s equations heat transfer two product zones. model fitted to experimental dynamics an orange juice-based cake. obtained K∗=2.0X10−12 m2.5 ideal n=0.5. proposed equations, solved Darcy index, reproduced other same different temperatures.