Extraction Time Determination for Diffusion-Controlled Leaching
Calculates the extraction time required to achieve a target fractional solute recovery from porous solid flakes using the long-time approximation of Fick's second law for slab geometry. Includes validation via Fourier number.
📖 Need the theory? Read the methodology, assumptions, and equations in the full reference guide.
1. Define Input Parameters
2. Engineering Output
Extraction Time (t)
- s
- s
Extraction Time (Minutes) (t_min)
- min
- min
Fourier Number (Fo)
- dimensionless
- dimensionless
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Extraction time determination models the unsteady-state diffusion of solute from porous solid flakes using Fick's second law. The long-time approximation is valid when the Fourier number exceeds 0.1, enabling calculation of the time required to achieve a target fractional recovery. This calculation is essential for sizing industrial extractors and optimizing solvent-to-solid ratios in oilseed processing.
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