Gear Pump Flow Rate Calculation

Gear Pump Flow Equation:

\[ Q = \frac{Disp \times RPM \times \eta}{231} \]

Flow Rate (Q):

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1. What is the Gear Pump Flow Equation?

The gear pump flow equation calculates the theoretical flow rate of a gear pump based on its displacement, rotational speed, and efficiency. This calculation is essential for hydraulic system design and pump selection.

2. How Does the Calculator Work?

The calculator uses the gear pump flow equation:

\[ Q = \frac{Disp \times RPM \times \eta}{231} \]

Where:

\( Q \) — Flow rate (GPM)
\( Disp \) — Pump displacement (in³/rev)
\( RPM \) — Rotational speed (revolutions per minute)
\( \eta \) — Pump efficiency (unitless, 0-1)
231 — Conversion factor (cubic inches to gallons)

Explanation: The equation calculates the theoretical flow rate by multiplying displacement per revolution by RPM, then adjusting for pump efficiency, and finally converting to gallons per minute.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate calculation is crucial for proper hydraulic system design, pump selection, and ensuring the system meets performance requirements. It helps determine if a pump can deliver the required fluid volume for a specific application.

4. Using the Calculator

Tips: Enter pump displacement in cubic inches per revolution, rotational speed in RPM, and efficiency as a decimal between 0 and 1. All values must be valid (displacement > 0, RPM > 0, efficiency between 0-1).

5. Frequently Asked Questions (FAQ)

Q1: What is pump displacement?
A: Pump displacement is the volume of fluid that the pump can theoretically move in one complete revolution, typically measured in cubic inches per revolution (in³/rev).

Q2: Why is there a conversion factor of 231?
A: The factor 231 converts cubic inches to US gallons, as there are 231 cubic inches in one US gallon.

Q3: What is typical pump efficiency?
A: Gear pump efficiency typically ranges from 0.80 to 0.90 (80-90%), but can vary based on pump design, operating conditions, and fluid properties.

Q4: Does this equation work for all pump types?
A: This specific equation is designed for gear pumps. Other pump types (vane, piston, etc.) may use different equations or factors.

Q5: How does viscosity affect the calculation?
A: Fluid viscosity affects pump efficiency. Higher viscosity fluids typically result in lower efficiency, which should be accounted for in the efficiency value used in the calculation.