🏗️ Bioreactor Scale-Up Simulator

Compare fundamental scale-up criteria: Constant Power per Unit Volume ($P/V$), Constant Impeller Tip Speed ($v_{tip}$), and Constant Reynolds Number ($Re$).

Small Scale (Seed / Pilot) Source Scale 1

Working Volume V₁ (L)

Vessel Diameter D₁ (m)

Impeller Diameter d₁ (m)

Agitation Speed N₁ (RPM)

Impeller Power Number (Np)

Fluid Density (kg/m³)

Production Scale (Target) Target Scale 2

Target Volume V₂ (L)

Scale Factor (V₂ / V₁)

Impeller Diameter Ratio (d₂ / D₂)

Liquid Height-to-Diameter (H/D)

Estimated Large Impeller Diam d₂ (m)

Predicted Scale-Up Regimes at Production Scale

Geometric similarity assumed. Notice how maintaining constant $P/V$ causes tip speed to increase, whereas constant tip speed lowers specific power input.

Scale-Up Criterion	Speed N₂ (RPM)	Tip Speed v_tip (m/s)	Power / Vol P/V (W/m³)	Relative Shear Stress	Assessment