Fick's Second Law Unsteady-State Diffusion Calculator
Calculates transient concentration profiles and dimensionless penetration parameters for 1D diffusion in semi-infinite media using Fick's Second Law.
📖 Need the theory? Read the methodology, assumptions, and equations in the full reference guide.
1. Define Input Parameters
2. Engineering Output
Dimensionless Variable (η) (eta)
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-
Error Function Value (erf_eta)
-
-
Concentration at Depth z and Time t (C_zt)
- kg/m³
- kg/m³
Need this calculation offline?
Download Offline Excel CalculationContext & Assumptions
Fick's Second Law describes unsteady-state mass transfer where solute concentration varies with position and time in non-equilibrium systems. It is commonly applied in process engineering to predict transient diffusion fronts in stagnant fluids, solid matrices, and containment boundaries. Understanding these transient concentration profiles is critical for safety assessments, barrier designs, and environmental containment modeling.
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The results provided by this tool are for educational and preliminary estimation purposes only.
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All results MUST be independently verified by a qualified professional engineer before implementation in any industrial or physical environment.