⚙️ Ejector & Eductor Jet Pump

Model high-velocity motive jet entrainment, suction flow rate, 1D mixing chamber momentum balance, pressure lift ratio (N), entrainment mass ratio (Rm), and diffuser recovery.

⚡ Fortran 90 Engine Double Precision (IEEE 754) ✓ ISO / ASME Validated

Fluid Mechanics

📊 Solver Telemetry ● ACTIVE

👁️ Views 27

⚡ Solves 21

💾 Downloads 409 📦 Fortran Code 4.5 KB

📅 Released Aug 2026

⏱️ Latency < 1 ms

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⚙️ Ejector / Eductor Fluid Entrainment Dynamics

High-speed motive jet, suction entrainment & diffuser pressure recovery

📝 Configuration & Presets

🚰 Water Eductor (Bilge/Sump) ☁️ Steam Jet Vacuum 🧪 Chemical Dosing 🔥 High-Pressure Gas

📉 Operating Pressures

Motive Pressure P_m [bar abs]:

Suction Pressure P_s [bar abs]:

Discharge Pressure P_out [bar abs]:

📐 Geometry

Motive Nozzle Throat d_m [mm]:

Mixing Chamber Diameter d_mix [mm]:

💧 Fluid Properties

Motive Fluid Density ρ_m [kg/m³]:

Suction Fluid Density ρ_s [kg/m³]:

⚙️ Component Efficiencies

Nozzle Velocity Coeff. C_v:

Diffuser Efficiency η_diff:

Key Formulations:
• Motive Jet: V_m = C_v √(2(P_m − P_s)/ρ_m)
• Entrainment Ratio: R_m = ṁ_s / ṁ_m
• Pressure Lift Ratio: N = (P_out − P_s) / (P_m − P_s)
• Area Ratio: R_A = A_nozzle / A_mix = (d_m / d_mix)²

📊 Performance Results

📊 Output Summary
💾 Fortran Source

Entrainment Mass Ratio (R_m) 3.501 kg_s/kg_m Volumetric Ratio R_v = 3.039 m³_s/m³_m

Pressure Lift Ratio (N) 0.0984 ΔP_lift = 0.30 bar | ΔP_mot = 3.05 bar

Motive Jet Velocity (V_m) 23.24 m/s ṁ_m = 3.689e-1 kg/s (1.33 m³/h)

Suction Entrained Flow (ṁ_s) 1.292e+0 kg/s Q_s = 4.04 m³/h | Eff. η = 0.7%

📈 Entrainment Ratio R_m vs Motive Pressure P_m

📉 Characteristic Pump Curve: Pressure Lift N vs R_m

=================================================================
 THERMOFLUIDCALC — EJECTOR & EDUCTOR PERFORMANCE REPORT
=================================================================
Case Title                 : Venturi Dosing & Chemical Mixing Eductor
Motive Pressure (Pm)       : 4.00 bar abs (4.000e+5 Pa)
Suction Pressure (Ps)      : 0.95 bar abs (9.500e+4 Pa)
Discharge Pressure (Pout)  : 1.25 bar abs (1.250e+5 Pa)
-----------------------------------------------------------------
Motive Nozzle Diameter     : 4.50 mm
Mixing Chamber Diameter    : 12.00 mm
Area Ratio (Am/Amix)       : 0.1406
-----------------------------------------------------------------
Motive Jet Velocity (Vm)   : 23.24 m/s
Motive Mass Flow (mdot_m)  : 3.6887e-1 kg/s (1.33 m3/h)
Suction Mass Flow (mdot_s) : 1.2915e+0 kg/s (4.04 m3/h)
Total Discharge Flow       : 1.6604e+0 kg/s (5.37 m3/h)
-----------------------------------------------------------------
Entrainment Mass Ratio Rm  : 3.5013 kg_suction / kg_motive
Volumetric Ratio Rv        : 3.0386 m3_suction / m3_motive
Pressure Lift Ratio N      : 0.09836
Hydraulic Efficiency       : 0.65 %
Mixing Velocity (V_mix)    : 13.20 m/s
=================================================================

📘 Calculation Methodology & Engineering Theory

1D Momentum Conservation

Ejectors transfer momentum from a high-velocity driving jet to a low-pressure secondary fluid within a constant-area mixing throat:

                    (P1 − P2) Amix = ṁtotal V2 − (ṁm Vm1 + ṁs Vs1) + Ffriction
                

Diffuser Pressure Recovery

The mixed fluid decelerates in the diverging section, converting dynamic pressure into static pressure rise:

                    Pout = P2 + ηdiff · ½ ρmix (Vmix² − Vout²)
                

Key Engineering Assumptions

Complete mixing achieved within the mixing tube length ($L_{mix} \approx 6 \text{ to } 8 \cdot d_{mix}$).
Subsonic flow in mixing section (incompressible liquid or moderate gas velocity).
Nozzle discharge coefficient $C_v \approx 0.92 - 0.96$.
Diffuser static pressure recovery efficiency $\eta_{diff} \approx 0.75 - 0.85$.

ThermoFluidCalc Engineering Report