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Gear Pump Displacement Calculator

Gear Pump Displacement Formula:

\[ V = \frac{\pi}{4} \times (D^2 - d^2) \times W \]

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cm

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1. What is Gear Pump Displacement?

Gear pump displacement refers to the volume of fluid displaced per revolution of the pump. It's a critical parameter in determining the pump's flow rate and sizing for specific applications.

2. How Does the Calculator Work?

The calculator uses the gear pump displacement formula:

\[ V = \frac{\pi}{4} \times (D^2 - d^2) \times W \]

Where:

Explanation: The formula calculates the volume between the gear teeth and housing that's available for fluid displacement during each revolution.

3. Importance of Displacement Calculation

Details: Knowing the displacement is essential for determining the pump's flow rate (when combined with RPM), selecting the right pump for an application, and predicting system performance.

4. Using the Calculator

Tips: Enter all dimensions in centimeters. Ensure outer diameter is larger than root diameter. Measurements should be taken from gear specifications or precise physical measurements.

5. Frequently Asked Questions (FAQ)

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

Q2: How accurate is this calculation?
A: This provides theoretical displacement. Actual flow may differ due to factors like back leakage, viscosity, and pump wear.

Q3: Can this be used for all gear pump types?
A: This works for external gear pumps. Internal gear pumps require a slightly different calculation.

Q4: What if my measurements are in inches?
A: Convert to cm (1 inch = 2.54 cm) or modify the formula to use inches (result will be in³/rev).

Q5: How does tooth profile affect displacement?
A: This formula assumes standard gear tooth profiles. Special profiles may require more complex calculations.

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