๐งช Fixed-Bed Adsorption Breakthrough (Thomas & BDST)
Model dynamic packed-bed adsorption breakthrough curves (S-curves), exhaustion times, Bed Depth Service Time (BDST), and Mass Transfer Zone (MTZ) migration.
โก Fortran 90 Engine
Double Precision (IEEE 754)
โ ISO / ASME Validated
Mass Transfer
๐ Solver Telemetry
โ ACTIVE
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โก Solves
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๐พ Downloads
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๐ฆ Fortran Code
6.4 KB
๐
Released
Jun 2026
โฑ๏ธ Latency
< 1 ms
๐งช Packed Adsorbent Bed Mass Transfer Wave Front Migration
Real-time visual simulation of solute adsorption gradient wave advancing through porous bed๐ Configuration & Presets
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Thomas & BDST Formulations:
โข Thomas S-Curve: C/Cโ = 1 / [ 1 + exp( (kTh qโ M / Q) โ kTh Cโ t ) ]
โข Breakthrough Time (5%): tb = tโ โ โ ln(19) / (kTh Cโ)
โข Exhaustion Time (95%): ts = tโ โ + ln(19) / (kTh Cโ)
โข Critical Bed Depth: Zโ = (uโ / (kBA Nโ)) ยท ln(Cโ/Cb โ 1)
โข Thomas S-Curve: C/Cโ = 1 / [ 1 + exp( (kTh qโ M / Q) โ kTh Cโ t ) ]
โข Breakthrough Time (5%): tb = tโ โ โ ln(19) / (kTh Cโ)
โข Exhaustion Time (95%): ts = tโ โ + ln(19) / (kTh Cโ)
โข Critical Bed Depth: Zโ = (uโ / (kBA Nโ)) ยท ln(Cโ/Cb โ 1)
๐ Breakthrough Performance Results
Configure inputs and click Compute to view results.
๐ Calculation Methodology & Adsorption Kinetics Standards
Thomas Column Model
The Thomas model assumes plug flow with second-order reversible Langmuir adsorption kinetics, providing the classic analytical S-curve:
C/Cโ = 1 / [ 1 + exp( (kTh qโ M / Q) โ kTh Cโ t ) ]
Bed Depth Service Time (BDST)
BDST relates service time linearly to bed depth. The x-intercept represents the critical depth $Z_0$ below which instantaneous breakthrough occurs.
Key Engineering Assumptions
- Isothermal operation with negligible axial fluid dispersion.
- Breakthrough criterion defined at $C/C_0 = 5\%$ ($0.05$).
- Exhaustion criterion defined at $C/C_0 = 95\%$ ($0.95$).