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Hydraulic Pump Displacement Calculator

Displacement Formula:

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

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1. What is Hydraulic Pump Displacement?

Hydraulic pump displacement refers to the volume of fluid that a pump can theoretically deliver per revolution. It's a key parameter in hydraulic system design and determines the pump's flow output at a given speed.

2. How Does the Calculator Work?

The calculator uses the displacement formula:

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

Where:

Explanation: The formula calculates the swept volume per revolution by determining the annular area between the outer and root diameters and multiplying by the width.

3. Importance of Displacement Calculation

Details: Knowing a pump's displacement is essential for determining flow rates, sizing system components, and matching pumps to hydraulic motors or cylinders.

4. Using the Calculator

Tips: Enter all dimensions in centimeters. Outer diameter must be greater than root diameter. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between displacement and flow rate?
A: Displacement is volume per revolution (cm³/rev), while flow rate is volume per time (L/min). Flow rate = displacement × RPM.

Q2: Does pressure affect displacement?
A: No, displacement is a geometric property. However, actual flow may decrease at higher pressures due to internal leakage.

Q3: How accurate is this calculation?
A: This gives theoretical displacement. Actual displacement may vary slightly due to manufacturing tolerances and design features.

Q4: Can I use this for any pump type?
A: This formula works best for gear pumps and vane pumps. Piston pumps require different calculations.

Q5: What if my pump has multiple chambers?
A: Multiply the result by the number of chambers (e.g., for a gear pump with two meshing gears, displacement is twice this value).

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