Free Online Chromatography Column Sizer | DSP Bed Volume & Velocity

COLUMN GEOMETRY & WORKFLOW SETUP

Target Downstream Workflow

Column Inner Diameter D (cm) 5.0 cm

Packed Bed Height L (cm) 20.0 cm

Linear Flow Velocity u (cm/h) 150 cm/h

Resin Dynamic Capacity DBC (g/L) 35.0 g/L

Batch Target Load Mass (g) 12.5 g

COLUMN CROSS-SECTION & PULSE TEST PEAK

DOWNSTREAM HANDOFF ➔ TFF DESALTING
Calculated column pool volume V_elute = 1.18 L at 10.6 g/L ready to feed into TFF Ultrafiltration & Diafiltration Planner for formulation and buffer exchange.

DSP HYDRODYNAMIC DIAGNOSTICS EFFICIENCY

Settled Resin Slurry Required

451.6 mL

With 1.15× packing compression factor

Column Load Capacity Per Cycle

13.7 g / cycle

Single cycle suffices for 12.5 g batch

Bed Aspect Ratio (L / D)

4.0 : 1

Recommended industrial range: 2:1 to 6:1

Estimated Pressure Drop (ΔP)

0.85 bar (12.3 psi)

Well within 3.0 bar resin maximum limit

Specific Productivity Index

31.8 g/L/h

Grams purified per liter resin per hour

📚 Preparative Chromatography Column Sizing & Residence Time Guide Downstream DSP • Step 1 of 3

Theoretical Principles & Engineering Fundamentals

Preparative column chromatography is the core unit operation in downstream processing (DSP) for purifying monoclonal antibodies (mAbs), recombinant proteins, and viral vectors. Sizing columns requires balancing volumetric throughput, dynamic binding capacity ($DBC_{10\%}$), resin bed height ($L$), and mobile phase residence time ($ au$) to maintain high resolution and prevent bed compression.

Governing Equations & Mathematical Formulations

Residence Time \tau = \frac{V_{\text{bed}}}{Q} = \frac{L}{u_{\text{lin}}}

Fluid contact time within packed resin bed where $L$ is bed height and $u_{\text{lin}}$ is linear flow velocity.

Bed Volume V_{\text{bed}} = \frac{\pi D^2}{4} \times L

Calculates total packed bed volume based on column internal diameter $D$ and settled bed height $L$.

Linear Velocity to Volumetric Flow Q = u_{\text{lin}} \times A_{\text{col}} = u_{\text{lin}} \times \frac{\pi D^2}{4}

Translates linear velocity (cm/hr) into operational pump volumetric flow rate (L/min or mL/min).

Industrial Benchmark Data & Parameter Reference

Chromatography Mode	Typical Resin	Typical Bed Height (cm)	Linear Velocity (cm/hr)	DBC10%
Protein A Affinity	MabSelect SuRe	15 – 25 cm	200 – 400 cm/hr	35 – 60 mg mAb/mL
Cation Exchange (CEX)	SP Sepharose Fast Flow	15 – 20 cm	150 – 300 cm/hr	40 – 80 mg/mL
Anion Exchange (AEX)	Q Sepharose / Capto Q	10 – 20 cm	200 – 450 cm/hr	50 – 100 mg/mL
Hydrophobic Interaction (HIC)	Butyl / Phenyl Sepharose	10 – 15 cm	100 – 250 cm/hr	20 – 40 mg/mL

Frequently Asked Questions (Bioprocess Engineering FAQ)

What is dynamic binding capacity at 10% breakthrough (DBC10%)?

DBC10% is the mass of target protein bound per milliliter of resin when the outlet effluent reaches 10% of the feed concentration, representing practical operating capacity under process flow conditions.

Why is residence time maintained constant during column scale-up?

Maintaining constant residence time ($ au = L/u$) preserves intra-particle mass transfer kinetics and diffusion time inside resin pores, ensuring identical chromatographic resolution across scales.

How does resin pressure drop limit maximum bed height?

According to the Blake-Kozeny equation, pressure drop ($\Delta P$) increases proportionally with bed height and fluid velocity. Exceeding maximum resin pressure limits (typically 2–5 bar) causes resin bead deformation and bed collapse.

Free Online Chromatography Column Sizer & Pack Diagnostics

📚 Preparative Chromatography Column Sizing & Residence Time Guide Downstream DSP • Step 1 of 3

Theoretical Principles & Engineering Fundamentals

Governing Equations & Mathematical Formulations

Industrial Benchmark Data & Parameter Reference

Frequently Asked Questions (Bioprocess Engineering FAQ)

BioFlo Bioprocess Engineering Network