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Molecular Diffusivity Estimation (Einstein-Stokes)

Estimation of the molecular diffusion coefficient for a spherical particle in a continuum fluid using the Einstein-Stokes relation.

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1. Define Input Parameters

2. Engineering Output

Absolute Temperature (T_k)
- K
Dynamic Viscosity (SI) (mu_si)
- Pa·s
Molecular Radius (SI) (R_m)
- m
Molecular Diffusivity (D)
- m²/s

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Context & Assumptions

Molecular diffusivity characterizes the rate at which a solute moves through a solvent due to thermal motion, which is vital for designing mass-transfer operations. The Einstein-Stokes equation offers a reliable first-principles estimation for spherical molecules in dilute solutions. This approach is particularly useful for preliminary equipment sizing and interpreting kinetic data in the absence of experimental measurements.

Understand the Engineering Principles

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

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