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Gear Pump Design Calculations

Gear Pump Displacement Formula:

\[ Disp_{gpd} = \frac{\pi D_{gpd}^2 W_{gpd} N_{gpd}}{4} \]

millimeters
millimeters
teeth

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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 hydraulic system design that determines the flow rate and efficiency of gear pumps.

2. How Does the Calculator Work?

The calculator uses the gear pump displacement formula:

\[ Disp_{gpd} = \frac{\pi D_{gpd}^2 W_{gpd} N_{gpd}}{4} \]

Where:

Explanation: The formula calculates the theoretical displacement volume based on the geometric properties of the gear pump.

3. Importance of Gear Pump Design

Details: Accurate displacement calculation is crucial for proper hydraulic system design, ensuring the pump meets flow requirements and operates efficiently.

4. Using the Calculator

Tips: Enter gear diameter and width in millimeters, and number of teeth. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is gear pump displacement used for?
A: It's used to determine the theoretical flow rate of a gear pump, which is essential for hydraulic system design and pump selection.

Q2: How does tooth number affect displacement?
A: More teeth generally increase displacement, but tooth geometry and size also play important roles in the overall displacement calculation.

Q3: What are typical displacement values for gear pumps?
A: Displacement values vary widely depending on pump size, ranging from less than 1 cm³/rev to over 100 cm³/rev for industrial applications.

Q4: Are there limitations to this formula?
A: This formula provides theoretical displacement. Actual displacement may vary due to manufacturing tolerances, wear, and fluid properties.

Q5: How does displacement relate to flow rate?
A: Flow rate equals displacement multiplied by rotational speed (RPM), minus losses due to efficiency factors.

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