Pump Cylinder Diameter Calculator

Stroke Length (\( L \)):

Volume Displacement (\( V \)):

1. What is Pump Cylinder Diameter Calculator?

Definition: This calculator computes the diameter (\( D \)) of a pump cylinder, based on the stroke length (\( L \)) and the volume displacement of one stroke (\( V \)).

Purpose: It assists engineers in designing pump cylinders by determining the required diameter to achieve a specific volume displacement per stroke, which is critical for applications like hydraulic pumps, water pumps, or industrial machinery.

2. How Does the Calculator Work?

The calculator uses the following equation:

\( D = 2 \cdot \sqrt{\frac{V}{L \cdot \pi}} \)

Where:

\( L \): Stroke length of the pump cylinder (in m, mm, cm, in, ft, or yd);
\( V \): Volume displacement of one stroke (in L, m³, cm³, gal, or ft³);
\( D \): Diameter of the pump cylinder (in m, mm, cm, in, ft, or yd);
Results are displayed with 3 decimal places (or scientific notation if less than 0.001).

Steps:

Enter the stroke length (\( L \)) and select the unit (m, mm, cm, in, ft, yd).
Enter the volume displacement (\( V \)) and select the unit (L, m³, cm³, gal, ft³).
Click "Calculate" to compute the pump cylinder diameter.
Change the result unit dropdown to convert the diameter to a different unit.

3. Importance of Pump Cylinder Diameter Calculation

Calculating the pump cylinder diameter is crucial for:

Pump Design: Ensuring the cylinder can displace the required volume of fluid per stroke for efficient operation.
Performance Optimization: Matching the cylinder size to the desired flow rate and pressure in hydraulic or mechanical systems.
Engineering Applications: Designing pumps for water supply, oil extraction, or industrial processes where precise fluid displacement is needed.

4. Using the Calculator

Example 1: Calculate the pump cylinder diameter with \( L = 25 \, \text{m} \), \( V = 12000 \, \text{L} \), result in m:

Stroke Length: 25 m;
Volume Displacement: 12000 L = \( 12000 \times 0.001 = 12 \, \text{m³} \);
\( D = 2 \cdot \sqrt{\frac{12}{25 \cdot \pi}} \);
\( D = 2 \cdot \sqrt{\frac{12}{78.5398}} \approx 2 \cdot \sqrt{0.152788} \approx 2 \cdot 0.39088 \approx 0.782 \, \text{m} \);
Result: Pump Cylinder Diameter = 0.782 m.

Example 2: Calculate the pump cylinder diameter with \( L = 10 \, \text{in} \), \( V = 500 \, \text{gal} \), result in ft:

Stroke Length: 10 in = \( 10 \times 0.0254 = 0.254 \, \text{m} \);
Volume Displacement: 500 gal = \( 500 \times 3.78541 = 1892.705 \, \text{L} = 1892.705 \times 0.001 = 1.892705 \, \text{m³} \);
\( D = 2 \cdot \sqrt{\frac{1.892705}{0.254 \cdot \pi}} \);
\( D \approx 2 \cdot \sqrt{\frac{1.892705}{0.797964}} \approx 2 \cdot \sqrt{2.3715} \approx 2 \cdot 1.5397 \approx 3.079 \, \text{m} \);
Convert to ft: \( 3.079 \times 3.28084 \approx 10.102 \, \text{ft} \);
Result: Pump Cylinder Diameter = 10.102 ft.

5. Frequently Asked Questions (FAQ)

Q: What is Pump Cylinder Diameter?
A: It is the diameter of the cylindrical chamber in a pump, which determines the volume of fluid displaced per stroke based on the stroke length.

Q: Why is stroke length important?
A: The stroke length affects the volume displaced per stroke; a longer stroke requires a smaller diameter to displace the same volume, and vice versa.

Q: How does volume displacement affect the diameter?
A: The diameter is proportional to the square root of the volume displacement; a larger volume requires a larger diameter for the same stroke length.