ThermoFluidCalc Engineering Report

Industrial Agitator Power & 95% Mixing Time Sizing — 2026-08-23 20:52:04
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🌪️ Agitator Power & Mixing Time

Compute industrial agitator shaft power draw, specific power (W/m³), liquid pumping rate, and 95% homogenization blending time.

⚡ Fortran 90 Engine Double Precision (IEEE 754) ✓ ISO / ASME Validated
📊 Solver Telemetry ● ACTIVE
👁️ Consultations 17
⚡ Calculs faits 15
💾 Téléchargements 355 📦 Code Fortran 4.4 KB
📅 Mise en service Jun 2026
⏱️ Latence < 1 ms
⚡ Outils & Rapports :
💾 Télécharger Fortran 90

🌪️ Baffled Mixing Tank Vortex & Turbulent Streamlines

Real-time visual simulation of impeller rotation, liquid pumping flow & tracer dispersion

📝 Configuration & Presets

🧪 Rushton Turbine (120 RPM) 🌊 Hydrofoil Flocculator (45 RPM) 🎨 Pitched Blade (850 cP) 🍯 Anchor Impeller (25k cP)
📐 Tank & Impeller Geometry
Typical ratio: D/T ≈ 0.33 to 0.50
🌀 Impeller Type & Baffling
🧪 Fluid Physical Properties
Water: 1 cP, Oil: 50–500 cP, Polymer: 5000+ cP
Mixing Formulations:
• Impeller Reynolds: Re = (ρ · N · D²) / μ
• Shaft Power: P = Np · ρ · N³ · D⁵ [Watts]
• Pumping Rate: Qp = Nq · N · D³ [m³/s]
• 95% Mixing Time: θ₉₅ = [ 5.4 / (N · Np⅓) ] · (T/D)²

📊 Agitation & Power Results

📊 Output Summary
💾 Fortran Source

Shaft Power & Motor Sizing
Pshaft = 7.46 kW (10.01 HP)
Recommended Motor (1.25x SF): 9.33 kW
1629 W/m³
95% Homogenization Time (θ₉₅) 110.9 seconds 1.85 minutes
Impeller Reynolds Number (Re) 53 Transitional
Liquid Pumping Flow Rate (Qp) 2,211 m³/h Turnover Time = 7.5 s
Power Number (Np) 6.61 Pumping Number Nq = 0.30

📈 Shaft Power Draw vs Agitator Speed (RPM)

📉 95% Blending Time vs Agitator Speed

=================================================================
 THERMOFLUIDCALC — INDUSTRIAL AGITATOR & MIXING REPORT
=================================================================
Case Title                 : High-Viscosity Polymerization Kettle with Anchor Impeller
Impeller Configuration     : Anchor Impeller (Laminar Viscous)
Tank Diameter / Height     : 1.80 m / 1.80 m
Impeller Diameter (D)      : 1.70 m (D/T = 0.94)
Agitator Speed (N)         : 25.0 RPM (0.42 rev/s)
Impeller Reynolds (Re)     : 5.30e+1
-----------------------------------------------------------------
SHAFT MECHANICAL POWER     : 7.46 kW (10.01 HP)
Specific Power Draw (P/V)  : 1629.4 W/m3 (1.63 kW/m3)
Primary Pumping Flow (Qp)  : 2,210.9 m3/h
95% BLENDING MIXING TIME   : 110.89 seconds (1.85 min)
Recommended Motor Rating   : 9.33 kW
=================================================================

📘 Calculation Methodology & Mixing Theory

Power Draw Scaling Law

Shaft power scales cubically with rotation speed $N^3$ and with the 5th power of diameter $D^5$ in the turbulent regime:

P = Np · ρ · N³ · D⁵

Grenville 95% Mixing Time

The 95% homogenization time $\theta_{95}$ predicts complete batch blending based on turbulent macro-mixing turnover loops.

Key Engineering Assumptions

  • Single impeller mounted on central vertical shaft ($C = T/3$ off bottom).
  • Standard full liquid volume $H \approx T$.
  • Motor safety service factor $SF = 1.25$ applied for viscous startup surges.