📦 Resource pdf

Mass Transfer Correlations Handbook v3.2 (Chilton–Colburn, Treybal, Perry)

The Mass Transfer Correlations Handbook v3.2 is a curated technical reference compendium that consolidates empirically validated dimensionless correlations for predicting mass transfer coefficients across common unit operations and geometries. It integrates foundational analogies (e.g., Chilton–Colburn j-factor analogy) and empirically derived correlations from authoritative sources including Treybal’s 'Mass Transfer Operations' and Perry’s 'Chemical Engineers’ Handbook'. Designed for process engineers and researchers, it bridges theoretical transport principles with practical design calculations.

📖 Overview

The handbook synthesizes decades of experimental and semi-empirical work in convective mass transfer, organizing correlations by geometry (e.g., flat plates, packed beds, fluidized beds, stirred tanks, pipes) and flow regime (laminar, turbulent, transitional). Central to its framework is the Chilton–Colburn analogy, which establishes equivalence between momentum, heat, and mass transfer via the dimensionless j-factor (j_D = Sh / (Re · Sc^{1/3})), enabling adaptation of well-established friction factor or Nusselt number correlations to mass transfer problems. Treybal’s contributions emphasize correlations for equilibrium-stage operations—such as absorption, extraction, and distillation—with emphasis on interfacial area, holdup, and effective diffusivity in dispersed-phase systems. Perry’s data provide broad coverage of physical property estimation (e.g., diffusion coefficients, viscosity, density) and standardized correlations for common equipment like plate columns, spray towers, and rotary kilns. The v3.2 edition includes updated property databases, expanded low-Reynolds-number correlations for microscale and viscous systems, and cross-referenced uncertainty guidance for each correlation—supporting rigorous error propagation in process simulation and scale-up.

📑 Key Components

1 Chilton–Colburn j-factor analogy
2 Empirical Sherwood–Reynolds–Schmidt correlations
3 Geometry- and operation-specific correlation tables

🎯 Applications

  • Design and rating of absorbers and strippers
  • Scale-up of liquid–liquid extraction equipment
  • Prediction of drying rates in packed-bed dryers

📐 Key Formulas

Chilton–Colburn Analogy (j-factor)

j_D = \frac{Sh}{Re \cdot Sc^{1/3}} = f(Re, \text{geometry}, \text{surface roughness})

Relates mass transfer coefficient (via Sherwood number) to fluid dynamic conditions using Reynolds and Schmidt numbers; enables transfer of friction factor data to mass transfer prediction.

Treybal Correlation for Packed Beds (Gas Absorption)

Sh = 2.0 + 1.1 \, Re^{0.58} \, Sc^{0.33}

Empirical correlation for gas-phase mass transfer in randomly packed beds at Re = 10–10,000; used to estimate k_Ga (volumetric gas-phase mass transfer coefficient).

Perry’s Correlation for Stirred Vessels

Sh = 0.26 \, Re^{0.57} \, Sc^{0.33} \, \left(\frac{D}{T}\right)^{0.12}

Predicts mass transfer coefficient for gas dispersion in agitated tanks; accounts for impeller geometry via diameter-to-tank ratio (D/T).

🔗 Related Concepts

Dimensionless numbers in transport phenomena Interfacial mass transfer resistance Two-film theory

📚 References

#mass transfer #dimensionless correlation #process design #transport phenomena #chemical engineering