An Extended Linear Driving-Force Approximation Model Considering Penetration Period

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Key Points

To develop an extended linear driving-force (LDF) model that accounts for the penetration period in nonstationary diffusion processes.
Proposed an approximate solution for the initial condition of penetration period (PP).
Combined this solution with the regular regime (RR) solution to create an effective extended LDF model.
Conducted simulation experiments focusing on the moisture absorption process to compare the extended LDF model with the traditional LDF model.
The extended LDF model provided a superior fit across the entire nonstationary diffusion process compared to the original LDF model.
Simulation results demonstrated improved accuracy in predicting concentration changes during the penetration period.

Examines diffusion process outcomes in extended LDF model, indicating improved fit for various regimes.

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Imakoma et al. (2026) studied this question.

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