📦 Resource excel

Mass Transfer Coefficient Correlations Spreadsheet (Packed Bed, Tray, Spray)

The Mass Transfer Coefficient Correlations Spreadsheet is an Excel-based engineering resource that consolidates empirically and theoretically derived correlations for predicting mass transfer coefficients (kₐ, kₗ, Kₐ, etc.) in three major contacting equipment configurations: packed beds, plate/tray columns, and spray (or dispersed-phase) systems. It enables rapid estimation of mass transfer rates under varying hydrodynamic and physicochemical conditions by implementing dimensionless-number-based correlations (e.g., Sherwood–Reynolds–Schmidt). The spreadsheet typically includes input validation, unit conversion, sensitivity analysis tools, and visual output to support design, scale-up, and troubleshooting in separation processes.

📖 Overview

Mass transfer coefficient correlations quantify the rate at which species diffuse across phase boundaries—critical for designing absorbers, strippers, extractors, and reactors. In packed beds, correlations like those of Ramachandran–Chaudhari or Bravo–Fair relate the Sherwood number (Sh) to Reynolds (Re) and Schmidt (Sc) numbers, accounting for packing geometry (e.g., specific surface area, void fraction) and flow regime (laminar to turbulent). For tray (plate) columns, correlations such as O’Connell’s or Chan–Fair’s incorporate weeping, entrainment, and froth dynamics, often using the Murphree tray efficiency framework extended to local mass transfer via liquid- and vapor-phase film coefficients. Spray or droplet-based systems rely on correlations for single-droplet or ensemble behavior (e.g., Calderbank–Moo-Young), where interfacial area generation, droplet size distribution, and relative velocity dominate the Sh–Re–Sc relationship. The spreadsheet integrates these domain-specific models with consistent thermophysical property estimation (e.g., diffusivity via Wilke–Chang or Fuller–Schettler–Giddings), automatic regime identification (e.g., laminar vs. turbulent film), and error-checking logic to ensure physically plausible inputs. It serves not only as a pedagogical tool for teaching transport phenomena but also as a preliminary design aid for process engineers before deploying CFD or rigorous simulation platforms.

📑 Key Components

1 Dimensionless number calculators (Re, Sc, Sh, Fr, etc.)
2 Equipment-specific correlation modules (packed bed, tray, spray)
3 Thermophysical property database & estimators (diffusivity, viscosity, density)

🎯 Applications

  • Preliminary design of absorption/stripping columns
  • Troubleshooting low separation efficiency in existing units
  • Academic instruction and laboratory data analysis for mass transfer labs

📐 Key Formulas

Sherwood Number (General)

Sh = k_c \cdot L / D_{AB}

Dimensionless measure of convective mass transfer relative to diffusion; k_c is the mass transfer coefficient, L is characteristic length, D_AB is binary diffusion coefficient.

Ramachandran–Chaudhari (Packed Bed)

Sh = 0.52 \, Re^{0.57} \, Sc^{1/3} \, (\varepsilon / a_h)^{0.1}

Correlation for liquid-phase mass transfer coefficient in randomly packed beds; ε is void fraction, a_h is specific surface area (m²/m³).

Chan–Fair (Tray Column, Vapor Phase)

Sh_G = 0.029 \, Re_G^{0.85} \, Sc_G^{0.5}

Vapor-phase Sherwood number for sieve trays; Re_G and Sc_G are based on gas-phase properties and superficial gas velocity.

Calderbank–Moo-Young (Spray/Droplet)

Sh = 2 + 0.6 \, Re^{0.5} \, Sc^{0.33}

Single-sphere/droplet correlation applicable to dilute sprays under creeping to moderate flow conditions.

🔗 Related Concepts

Film Theory and Penetration Model Interfacial Area Estimation Two-Film Theory and Overall Mass Transfer Coefficients

📚 References

#mass transfer #process design #Excel tool