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API 676 Rotary Screw & Gear Pump Calculator

Viscosity Derating, Slip Flow, NPSHE/NPSHR Suction Margin & Brake Power (API 676 / ANSI/HI 3.1-3.5)

Fluid Viscosity Presets:
Actual Net Flow Rate (Q_act)
278.4 GPM
63.2 m³/h (96.8% Vol Eff)
Total Shaft Power (BHP)
32.6 HP
24.3 kW (Driver Req)
NPSH Available (NPSHA)
28.5 ft
11.1 psi (NPSHR: 11.2 ft)
Suction Margin Status
+17.3 ft Margin
PASS (>API 676 3 ft)
Volumetric & Slip Hydraulics
Theoretical Displacement: 287.5 GPM (65.3 m³/h)
Internal Slip Flow: 9.1 GPM (3.2% slip)
Volumetric Efficiency (ηv): 96.8%
Recommended Max Speed: 1,200 RPM (HI Limit)
Power Breakdown (Viscous Shear)
Hydraulic Power (WHP): 24.4 HP (18.2 kW)
Viscous Friction Power (VHP): 6.8 HP (5.1 kW)
Mechanical Loss (Bearings/Seals): 1.4 HP (1.0 kW)
Overall Pump Efficiency: 74.8%
Safety & Motor Sizing
Relief Valve Setting (110%): 165 psi (11.4 bar)
RV Discharge Capacity: 288 GPM (Full Flow)
Suggested Motor Rating: 40 HP (30 kW)
Speed Status: Safe Operating RPM

5 Fatal Traps & Engineering Pitfalls in Rotary Pumps

1. Operating at High Motor RPM with High Viscosity

Direct-coupling rotary pumps to standard 1,750 RPM motors on heavy crude, polymers, or asphalt (>1,000 cSt) is a catastrophic error. Viscous drag prevents fluid from filling expanding gear or screw pockets in the microsecond window of suction exposure. The pump undergoes severe cavitation and starvation hammering, eroding rotor tips, snapping timing gears, and collapsing flow rate by over 60%.

2. Thermal Expansion Galling & Cold-Start Seizure

Rotary pumps rely on microscopic running clearances (0.0015" to 0.0040") between rotating screws and casing bores to minimize slip. Pumping high-temperature fluids (e.g. 300°F / 150°C hot oil) through a cold, un-jacketed pump casing causes the low-mass internal rotors to thermally expand minutes faster than the heavy cast iron/steel casing. The rotors expand into casing walls, causing instantaneous rotor galling and violent mechanical lockup.

3. Missing or Undersized Discharge Relief Valve Disaster

Unlike centrifugal pumps which merely slip back to shutoff head when blocked, positive displacement rotary pumps continue forcing liquid forward on every shaft revolution. If downstream piping is blocked without a full-flow safety relief valve, system pressure climbs beyond 3,000 psi in less than one second, catastrophically rupturing pump casings, blowing off pipe flanges, and endangering plant operators.

4. Internal Relief Valve Recycling Overheating Trap

Relying on built-in internal relief valves (which vent back directly to the pump suction chamber) during prolonged closed-valve bypass operation is dangerous. Trapped fluid circulates in a closed 5-gallon loop inside the casing, absorbing 100% of the drive motor power as viscous friction. In less than 3 minutes, casing liquid temperature spikes above 400°F (200°C), boiling fluid, vaporizing mechanical seal faces, and galling rotor flights.

5. Low-Viscosity Slip Blowby on Hot Hydrocarbons

Specifying standard rotary pumps for low-viscosity fluids (<1.5 cSt, like hot condensate, naphtha, or light hydrocarbons) against high differential pressure (>150 psi) causes internal slip to skyrocket. Volumetric efficiency collapses from 95% to below 40%, fluid recirculates backward across clearances, generating severe localized heating and destroying shaft hydrodynamic bearing film support.

API 676 & Hydraulic Institute Mathematical Formulations

1. Theoretical Flow, Slip Flow & Volumetric Efficiency

$$Q_{theo} = D_{th} imes N quad [ ext{GPM}]$$ $$Q_{slip} = C_{slip} cdot rac{Delta P}{ u^{0.4}} quad [ ext{GPM}]$$ $$Q_{act} = Q_{theo} - Q_{slip} quad [ ext{GPM}]$$ $$eta_v = rac{Q_{act}}{Q_{theo}} imes 100%$$

2. Net Positive Suction Head Available (NPSHA)

$$NPSHA = rac{2.31 cdot (P_s - P_{vap})}{SG} + h_{static} - h_{friction} quad [ ext{feet}]$$ $$ ext{NPSHR}_{viscous} = ext{NPSHR}_{base} imes left( rac{ u}{1} ight)^{0.12} imes left( rac{N}{1150} ight)^{1.2} quad [ ext{feet}]$$ $$ ext{Margin} = NPSHA - ext{NPSHR}_{viscous} ge 3.0 ext{ ft (API 676)}$$

3. Power Calculations (Hydraulic, Viscous & Brake Horsepower)

$$WHP = rac{Q_{act} cdot Delta P}{1714} quad [ ext{HP}]$$ $$VHP = C_{v} cdot u^{0.35} cdot left( rac{N}{1000} ight)^{1.5} cdot D_{th} quad [ ext{HP}]$$ $$BHP = WHP + VHP + P_{mech} quad [ ext{HP}]$$

Frequently Asked Questions

What is the fundamental difference between centrifugal pump NPSH and rotary pump NPSHE in API 676? +
How does high fluid viscosity affect rotary pump slip and volumetric efficiency? +
Why must pump speed (RPM) be derated when pumping high-viscosity liquids? +
What is viscous shear horsepower (VHP) in rotary pump sizing? +
Why is an internal or external pressure relief valve mandatory on API 676 rotary pumps? +
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