Gear Pump Displacement Calculator Metric

Gear Pump Displacement Formula:

\[ Disp_{gpm} = \frac{\pi (D_{o_m} - D_{i_m}) \times W_m \times N_g}{1000} \]

Outer Diameter (D_{o_m}):

Inner Diameter (D_{i_m}):

Width (W_m):

Teeth Number (N_g):

teeth

Displacement (Disp_gpm):

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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 is a critical parameter that determines the flow rate and performance characteristics of gear pumps in hydraulic systems.

2. How Does the Calculator Work?

The calculator uses the gear pump displacement formula:

\[ Disp_{gpm} = \frac{\pi (D_{o_m} - D_{i_m}) \times W_m \times N_g}{1000} \]

Where:

\( D_{o_m} \) — Outer diameter (mm)
\( D_{i_m} \) — Inner diameter (mm)
\( W_m \) — Width (mm)
\( N_g \) — Number of teeth
\( \pi \) — Mathematical constant (approximately 3.14159)

Explanation: The formula calculates the theoretical displacement by considering the annular space between outer and inner diameters, multiplied by the width and number of teeth, then divided by 1000 to convert to cubic centimeters.

3. Importance of Displacement Calculation

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

4. Using the Calculator

Tips: Enter all dimensions in millimeters. Outer diameter must be larger than inner diameter. All values must be positive numbers. The result is given in cubic centimeters per revolution (cm³/rev).

5. Frequently Asked Questions (FAQ)

Q1: What is the practical significance of pump displacement?
A: Pump displacement directly determines the flow rate at a given rotational speed and affects the torque requirements and efficiency of the hydraulic system.

Q2: How does displacement relate to flow rate?
A: Flow rate (L/min) = Displacement (cm³/rev) × Speed (RPM) ÷ 1000

Q3: What are typical displacement values for gear pumps?
A: Displacement values typically range from 1-200 cm³/rev depending on pump size and application requirements.

Q4: Does this formula work for all gear pump types?
A: This formula is specifically designed for external gear pumps. Internal gear pumps may require different calculations.

Q5: Why is the result divided by 1000?
A: The division by 1000 converts the result from cubic millimeters to cubic centimeters for more practical engineering units.