Gear Pump Volume Calculator

Gear Pump Displacement Formula:

\[ Q = 2\pi \times (R_o^2 - R_i^2) \times W \times N \]

Outer Radius (R_o):

Inner Radius (R_i):

Width (W):

RPM (N):

RPM

Flow Rate (Q):

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1. What is Gear Pump Displacement?

Gear pump displacement refers to the volume of fluid that a gear pump can theoretically deliver per revolution. It's a fundamental parameter in hydraulic systems and fluid power applications.

2. How Does the Calculator Work?

The calculator uses the gear pump displacement formula:

\[ Q = 2\pi \times (R_o^2 - R_i^2) \times W \times N \]

Where:

\( Q \) — Flow rate (L/min)
\( R_o \) — Outer radius (mm)
\( R_i \) — Inner radius (mm)
\( W \) — Width (mm)
\( N \) — Rotational speed (RPM)

Explanation: The formula calculates the theoretical flow rate based on the geometric dimensions of the gear pump and its rotational speed.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate calculation is essential for proper system design, pump selection, and ensuring optimal performance in hydraulic and fluid transfer applications.

4. Using the Calculator

Tips: Enter all dimensions in millimeters and RPM values. Ensure that outer radius is greater than inner radius for valid calculations.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between theoretical and actual flow rate?
A: Theoretical flow rate is calculated based on geometric dimensions, while actual flow rate accounts for factors like slippage, viscosity, and efficiency losses.

Q2: How does gear pump displacement affect system performance?
A: Larger displacement pumps can deliver more fluid per revolution, making them suitable for higher flow requirements at lower speeds.

Q3: What are typical applications of gear pumps?
A: Gear pumps are commonly used in hydraulic systems, lubrication systems, fuel transfer, and various industrial fluid handling applications.

Q4: How does fluid viscosity affect pump performance?
A: Higher viscosity fluids may reduce actual flow rate due to increased internal resistance and require more power to maintain the same flow.

Q5: Can this calculator be used for different pump types?
A: This specific formula is designed for gear pumps. Other pump types (vane, piston, centrifugal) have different displacement calculation methods.