1. What is Gear Pump Displacement?

Gear pump displacement refers to the volume of fluid displaced per revolution of the pump. It is a critical parameter in hydraulic systems that determines the pump's flow rate capacity and is essential for proper system design and performance.

2. How Does the Calculator Work?

The calculator uses the gear pump displacement formula:

Where:

• \( R_o \) — Outer radius of the gear (inches)
• \( R_i \) — Inner radius of the gear (inches)
• \( W \) — Width of the gear (inches)
• \( \pi \) — Mathematical constant (approximately 3.1416)

Explanation: The formula calculates the volumetric displacement by finding the cross-sectional area between the outer and inner radii and multiplying by the gear width.

3. Importance of Gear Pump Displacement Calculation

Details: Accurate displacement calculation is crucial for determining pump performance, selecting appropriate pumps for hydraulic systems, and ensuring proper flow rates in industrial applications.

4. Using the Calculator

Tips: Enter all dimensions in inches. Outer radius must be greater than inner radius. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between displacement and flow rate?
A: Displacement is the volume per revolution, while flow rate is the volume per unit time (displacement × RPM).

Q2: Can this calculator be used for external gear pumps?
A: Yes, this formula is specifically designed for external gear pump displacement calculation.

Q3: What units should I use for the inputs?
A: The calculator expects all inputs in inches, and the result will be in cubic inches per revolution.

Q4: How accurate is this calculation?
A: This provides a theoretical displacement. Actual displacement may vary slightly due to manufacturing tolerances and efficiency factors.

Q5: What if my gear has no inner radius (solid gear)?
A: For solid gears, set the inner radius (R_i) to zero in the calculation.