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Crystal Growth Rate Calculation (Diffusion Controlled)

Estimates the linear growth rate of crystals in a supersaturated solution where mass transfer to the crystal surface is the rate-limiting step.

📖 Need the theory? Read the methodology, assumptions, and equations in the full reference guide.
Read Crystal Growth Rate Calculation (Diffusion Controlled) Guide →

1. Define Input Parameters

2. Engineering Output

Absolute Temperature (T)
- K
Dynamic Viscosity (SI) (mu)
- Pa·s
Reynolds Number (Re)
- dimensionless
Schmidt Number (Sc)
- dimensionless
Sherwood Number (Sh)
- dimensionless
Mass-Transfer Coefficient (kd)
- m/s
Linear Growth Rate (G)
- m/s

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Context & Assumptions

This calculation is essential for the design and sizing of industrial crystallizers and evaporators. It uses dimensionless groups such as the Reynolds, Schmidt, and Sherwood numbers to predict how hydrodynamic conditions and concentration gradients influence the precipitation rate of solid phases.

Understand the Engineering Principles

Review the step-by-step derivations, typical industrial limits, and scale-up rules.

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