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
📑 Key Components
🎯 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.