Constant Power per Volume Scale-Up
Calculates the impeller diameter and rotational speed required to maintain constant power per unit volume when scaling up a stirred-tank reactor under geometric similarity and fully turbulent flow.
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1. Define Input Parameters
2. Engineering Output
Scale-up factor (lambda)
- dimensionless
- dimensionless
Production impeller diameter (D2)
- m
- m
Production speed (N2)
- rps
- rps
Pilot Reynolds number (Re1)
- dimensionless
- dimensionless
Production Reynolds number (Re2)
- dimensionless
- dimensionless
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Download Offline Excel CalculationContext & Assumptions
Maintaining constant power per volume during scale-up preserves local energy-dissipation rates, which influence mixing, heat and mass transfer, and reaction performance. This heuristic is commonly applied when moving from lab-scale to pilot or production vessels under turbulent conditions.
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