VESSEL SUPPLY SIDE (MASS TRANSFER)
FROM STEP 4
Volumetric kLa (h⁻¹)
150 h⁻¹
Calculated from Step 4 (kLa Predictor)
Saturation C* (mg/L)
7.60 mg/L
Air ~7.6 mg/L (37°C); Pure O₂ enriched ~35–40 mg/L
Target Operational DO (%)
30 %
Critical DO threshold is typically 20% to prevent hypoxia
Gas Enrichment O₂ (%)
21.0 % (Air)
Transfer Summary
Effective C*: 7.60 mg/L (0.238 mmol/L)
Max Driving Force: 5.32 mg/L
OTR @ 0% DO: 35.6 mmol/L/h
Max Driving Force: 5.32 mg/L
OTR @ 0% DO: 35.6 mmol/L/h
OXYGEN TRANSFER VS UPTAKE DYNAMICS
STEADY STATE EQUILIBRIUM
UPSTREAM HANDOFF ➔ STEP 6
Max supportable biomass X_crit = 35.6 g/L bounds the substrate feed profile F(t) to avoid oxygen limitation in Fed-Batch Feeding Strategy (Step 6).
Max supportable biomass X_crit = 35.6 g/L bounds the substrate feed profile F(t) to avoid oxygen limitation in Fed-Batch Feeding Strategy (Step 6).
BIOLOGICAL DEMAND SIDE (METABOLISM)
RESPIRATION
Microorganism Preset
Biomass Density X (g/L)
25.0 g/L
Specific Uptake q_O₂ (mmol/g/h)
12.0 mmol/g/h
Engineering Advisory
Adequate Oxygenation Margin
Vessel mass transfer coefficient ($k_La$) easily accommodates the respiratory demand of 25.0 g/L biomass. Culture will remain comfortably above the critical hypoxic threshold.