Hydraulic Gear Pump Displacement Calculator

Hydraulic Gear Pump Displacement Formula:

\[ Disp_{hgp} = 2 \times \pi \times (R_o^2 - R_i^2) \times W_{hgp} \]

Displacement (Disp_hgp):

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1. What is Hydraulic Gear Pump Displacement?

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

2. How Does the Calculator Work?

The calculator uses the hydraulic gear pump displacement formula:

\[ Disp_{hgp} = 2 \times \pi \times (R_o^2 - R_i^2) \times W_{hgp} \]

Where:

\( Disp_{hgp} \) — Displacement (cubic centimeters per revolution)
\( R_o \) — Outer radius (millimeters)
\( R_i \) — Inner radius (millimeters)
\( W_{hgp} \) — Width (millimeters)
\( \pi \) — Mathematical constant (approximately 3.14159)

Explanation: The formula calculates the volume between the outer and inner radii multiplied by the width of the gear, then doubled to account for both gears in a typical gear pump configuration.

3. Importance of Displacement Calculation

Details: Accurate displacement calculation is crucial for determining pump performance, flow rates, and proper system sizing in hydraulic applications. It helps engineers select the right pump for specific pressure and flow requirements.

4. Using the Calculator

Tips: Enter all dimensions in millimeters. Ensure the outer radius is larger than the inner radius. All values must be positive numbers for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is displacement important in hydraulic gear pumps?
A: Displacement directly determines the pump's flow output per revolution, which is essential for calculating system flow rates and selecting appropriate components.

Q2: How does displacement relate to flow rate?
A: Flow rate (in liters per minute) equals displacement (cc/rev) multiplied by pump speed (RPM) divided by 1000.

Q3: What are typical displacement values for gear pumps?
A: Displacement values vary widely from small pumps (1-5 cc/rev) to large industrial pumps (100+ cc/rev) depending on application requirements.

Q4: Does temperature affect displacement calculation?
A: While the geometric displacement remains constant, actual flow may vary with temperature due to changes in fluid viscosity and internal clearances.

Q5: Can this formula be used for all gear pump types?
A: This formula works well for external gear pumps. Internal gear pumps may require slightly different calculations due to their unique geometry.