๐ Agitated Stirred Vessel Mixing & Impeller Power
Calculate agitated stirred tank reactor mixing: shaft power (kW / HP), Power number (Np), impeller Reynolds number, primary pumping rate, 95% blend time, and gassed power reduction.
โก Fortran 90 Engine
Double Precision (IEEE 754)
โ ISO / ASME Validated
Fluid Mechanics
๐ Solver Telemetry
โ ACTIVE
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42
โก Solves
36
๐พ Downloads
249
๐ฆ Fortran Code
4.5 KB
๐
Released
Jun 2026
โฑ๏ธ Latency
< 1 ms
๐ Stirred Tank Reactor Hydrodynamics & Impeller Vortex
Real-time visual simulation: Rotating impeller, wall baffles, and circulation mixing streamlines๐ Configuration & Presets
โก Rushton Gas Dispersion (180 rpm)
๐งช Fermenter Pitched Blade (120 rpm)
๐ฏ High-Viscosity Anchor (8.5 Paยทs)
๐ง Water Flash Mixing Propeller
Rushton & Nagata Mixing Formulation:
โข Impeller Reynolds Number: Rei = ฯ ยท N ยท Dยฒ / ฮผ
โข Shaft Power: P = Np ยท ฯ ยท Nยณ ยท Dโต [Watts]
โข Pumping Flow Rate: Qp = Nq ยท N ยท Dยณ [mยณ/s]
โข 95% Blend Time: ฮธ95 = 5.4 / (N ยท Np1/3) ยท (T/D)ยฒ.
โข Impeller Reynolds Number: Rei = ฯ ยท N ยท Dยฒ / ฮผ
โข Shaft Power: P = Np ยท ฯ ยท Nยณ ยท Dโต [Watts]
โข Pumping Flow Rate: Qp = Nq ยท N ยท Dยณ [mยณ/s]
โข 95% Blend Time: ฮธ95 = 5.4 / (N ยท Np1/3) ยท (T/D)ยฒ.
๐ Mixing Performance Results
Configure inputs and click Compute to view results.
๐ Calculation Methodology & Industrial Mixing Standards
Power Number $N_p$ & Flow Number $N_q$
Governed by dimensionless numbers $N_p = P / (\rho N^3 D^5)$ and $N_q = Q_p / (N D^3)$. Wall baffles prevent central air vortexing and maximize power draw for rapid blending.
Aeration Gassing Reduction Factor
In aerated fermenters and bioreactors, rising gas cavities behind impeller blades reduce effective fluid density and drag, lowering power demand by up to $50\%$.
Key Engineering Assumptions
- Standard cylindrical flat-bottom or dished-bottom stirred tank geometry.
- Michel & Miller gassed power correlation for gas-liquid dispersions.
- Applicable to chemical reactors, biopharma bioreactors, and polymer mixing.