Gerotor Pump Design Calculations

Gerotor Pump Design Formula:

\[ Disp_{ger\_design} = 2 \pi e^2 N_g \]

Gerotor Pump Displacement (Disp_ger_design):

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1. What is Gerotor Pump Design Calculation?

The gerotor pump design calculation determines the displacement volume of a gerotor pump, which is a positive displacement pump consisting of an inner and outer rotor. The displacement represents the volume of fluid pumped per revolution.

2. How Does the Calculator Work?

The calculator uses the gerotor pump design formula:

\[ Disp_{ger\_design} = 2 \pi e^2 N_g \]

Where:

\( Disp_{ger\_design} \) — Gerotor pump displacement (cubic centimeters per revolution)
\( e \) — Eccentricity (millimeters)
\( N_g \) — Number of lobes (unitless)
\( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: The formula calculates the theoretical displacement based on the pump's geometric parameters, specifically the eccentricity between rotors and the number of lobes.

3. Importance of Gerotor Pump Design

Details: Accurate displacement calculation is crucial for pump sizing, performance prediction, and system design in various hydraulic and lubrication applications.

4. Using the Calculator

Tips: Enter eccentricity in millimeters and number of lobes as a whole number. Both values must be positive (eccentricity > 0, number of lobes ≥ 1).

5. Frequently Asked Questions (FAQ)

Q1: What is a gerotor pump?
A: A gerotor pump is a positive displacement pump consisting of an inner gear (rotor) with N teeth and an outer gear with N+1 teeth, creating chambers that transport fluid.

Q2: What is eccentricity in gerotor pumps?
A: Eccentricity refers to the distance between the centers of the inner and outer rotors, which determines the size of the pumping chambers.

Q3: How does number of lobes affect pump performance?
A: More lobes generally provide smoother flow with less pulsation but may reduce the displacement per revolution compared to fewer lobes.

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

Q5: What applications use gerotor pumps?
A: Gerotor pumps are commonly used in automotive engines (oil pumps), hydraulic systems, lubrication systems, and fuel transfer applications.