Engineering Reference
Turbulent
Geometry Preview (Correlations)
Ref. Power (P)
1.28 W
Ref. Torque (M)
0.0436 N·m
Est. Peak Speed (umax)
2.14 m/s
Dead-Zone Volume (Vdead)
8.4 %
Impeller Tip Speed (utip)
2.20 m/s
Impeller Engineering Specification
Rushton 6-Blade Disc Turbine (R-100)
Flow Characteristics
Discharges radially outward at blade centerline into dual upper and lower recirculation loops. Gas sparged below is channeled along disc and sheared in trailing vortices.
Typical Applications
Aerobic microbial fermentations (E. coli, Pichia, yeast) requiring high oxygen mass transfer rates.
Turbulent Np5.0
Pumping NQ0.72
Metzner-Otto ks11.5
Viscosity Limit< 1,000 cP
Engineering Suitability Advisor
Operating point is within standard design envelope.
Fluent Field Probe
Position (r, z):-
Velocity |u|:-
Static Pressure (p):-
TKE (k):-
Dissipation (ε):-
Case A (Baseline Run)
Verified Fluent
Case B (Comparison Run)
Verified Fluent
Overlaid Layer Velocity Profile across Tank Height (z/H)
Comparing layer-averaged velocity speed ⟨u⟩(z) from vessel floor (z/H = 0.0) to liquid free surface (z/H = 1.0).
Case A
Case B
Hydrodynamic & Energy Parity Matrix
ΔPower: 0.0%
Quantitative side-by-side comparison of 3D Navier-Stokes solver outputs with relative percentage deltas (Δ = (B - A) / A).
| Hydrodynamic / Solver Parameter | Case A | Case B | Relative Delta (Δ %) |
|---|
Theory & Equations
Select a configuration to inspect its engineering references.
Bioprocess Scale-Up Calculator
Geometric scale-up from baseline vessel volume.
| Engineering Metric | Scale 1 (Baseline) | Scale 2 (Target) | Scaling Ratio (S₂/S₁) | Similitude Rule |
|---|
Bioprocess Similitude Insights:
- Scaling at constant volumetric power (P/VL) preserves oxygen mass transfer capability (kLa).
- Tip speed increases by λ1/3, which increases maximum shear stress around impeller blade tips.
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1
Gmsh Tetrahedral Mesher
Conformal MRF Zones
2
Fluent v261 Engine
Boundary Conditions
3
Navier-Stokes Iterations
Pressure-Velocity Coupling
4
Field Extraction
3D Streamlines & Slices
Navier-Stokes Convergence Residuals
Logarithmic normalized residuals for continuity, velocity components, and turbulence quantities.
Continuity
X-Velocity
Y-Velocity
Z-Velocity
k (TKE)
ε
CFD Solver Evidence & Convergence
Fluent 2026 R1 residuals, torque stability, and parity checks.
Verified Fluent Result
Mesh: 64,172 cells / 14,342 nodes
Native Files: fluent_case.cas.h5 & .dat.h5 (Verified)
Provenance: run_manifest.json (SHA-256 Valid)
Torque Drift: 0.45% (Stabilized)
| Physical Quantity | Ansys Fluent 2026 R1 CFD | Engineering Reference | Parity / Deviation | Provenance Source |
|---|---|---|---|---|
| Agitator Shaft Torque (M) | 0.7780 N·m | 0.7430 N·m | +4.7% (Within ±10% band) | fluent_solver (3D Moment) |
| Mechanical Shaft Power (P) | 20.37 W | 19.45 W | +4.7% (Within ±10% band) | fluent_solver (Force Integral) |
| Power Number (Np) | 5.235 | 5.000 | +4.7% | fluent_solver vs Standard Np |
| Peak Domain Velocity (umax) | 1.8327 m/s | 1.8330 m/s (utip) | 1.00 × utip | fluent_field |
| Stagnant Dead-Zone Volume (Vdead) | 5.6% | < 10.0% | Balanced Circulation | fluent_field (<0.015 v_tip) |
[SYSTEM] Ansys Fluent 2026 R1 CFD Studio ready.
[CACHE] Loaded pre-computed CFD bundles from disk.