Hydraulic Displacement Calculator

Hydraulic Displacement Formula:

\[ Disp_{hyd} = \frac{Q}{RPM \times \eta / 231} \]

Hydraulic Displacement (Disp_hyd):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Hydraulic Displacement?

Hydraulic displacement refers to the volume of fluid that a hydraulic pump can deliver per revolution. It's a critical parameter in hydraulic system design, indicating the pump's size and capacity to move fluid under pressure.

2. How Does the Calculator Work?

The calculator uses the hydraulic displacement formula:

\[ Disp_{hyd} = \frac{Q}{RPM \times \eta / 231} \]

Where:

\( Disp_{hyd} \) — Hydraulic displacement (in³/rev)
\( Q \) — Flow rate (GPM)
\( RPM \) — Rotation speed (revolutions per minute)
\( \eta \) — Efficiency (0-1)
231 — Conversion factor (in³ to gallons)

Explanation: This formula calculates the theoretical displacement of a hydraulic pump based on its flow output, rotational speed, and efficiency.

3. Importance of Hydraulic Displacement Calculation

Details: Accurate displacement calculation is essential for proper hydraulic system design, pump selection, and ensuring the system meets performance requirements while operating efficiently.

4. Using the Calculator

Tips: Enter flow rate in GPM, rotation speed in RPM, and efficiency as a decimal between 0 and 1. All values must be valid positive numbers with efficiency between 0-1.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the 231 conversion factor?
A: The number 231 represents the number of cubic inches in one US gallon, which is necessary for unit conversion in the formula.

Q2: How does efficiency affect hydraulic displacement?
A: Lower efficiency values result in higher calculated displacement, as more theoretical displacement is needed to achieve the same flow output.

Q3: What are typical efficiency values for hydraulic pumps?
A: Efficiency typically ranges from 0.85 to 0.95 for most hydraulic pumps, with higher quality pumps achieving efficiencies closer to 1.

Q4: Can this formula be used for all types of hydraulic pumps?
A: This formula is generally applicable to positive displacement pumps (gear, vane, piston pumps) but may need adjustment for specific pump designs.

Q5: How does temperature affect hydraulic displacement calculations?
A: Temperature affects fluid viscosity and therefore efficiency. For precise calculations, efficiency should be determined at the operating temperature.