Pump / Cylinder Flow
Compute volumetric flow Q from effective area A and fluid velocity v.
Inputs
Formula
Q = A·v, A = πD²/4
Hydraulic pump/cylinder flow scales with speed.
Fundamentals
Compute volumetric flow Q from effective area A and fluid velocity v.
This tool computes Pump / Cylinder Flow from the formula: Q = A·v, A = πD²/4
History
Fluid mechanics and heat transfer were established in the 18th–19th centuries with steam engines and thermodynamics.
Engineering applications
Used for piping, heat-exchange and hydraulic system estimates.
Glossary
| Diameter D | Input parameter |
| Velocity v | Input parameter |
| Area A | Output result |
| Flow Q | Output result |
How to use
- Fill in Diameter D, Velocity v in the Inputs section (watch the unit on each field).
- Click Calculate; the tool evaluates the formula shown above.
- Read Area A, Flow Q in the results area.
Formula · Worked Example · Knowledge
Formula
核心计算关系：Q = A·v, A = πD²/4
输入变量：
- Diameter D
D— mm - Velocity v
v— m/s
输出结果：
- Area A
A— mm² - Flow Q
Q— L/min
假设/适用：Flow formulas assume steady, incompressible, continuous flow; correct for compressible/high-speed.
Worked Example
根据公式 Q = A·v, A = πD²/4，取 Diameter D = 50 mm；Velocity v = 1 m/s。
代入计算得：Area A = 1,963 mm²；Flow Q = 117.8 L/min。
Key Points
- Flow formulas assume steady, incompressible, continuous flow; correct for compressible/high-speed.
- Reynolds Re sets laminar/turbulent; friction f depends on regime & roughness.
- Energy eqn includes elevation, pressure and velocity heads; keep units as length.
Parameters
Inputs
| Parameter | Symbol | Unit | Default |
|---|---|---|---|
| Diameter D (mm) | D | mm | 50 |
| Velocity v (m/s) | v | m/s | 1 |
Outputs
| Result | Symbol | Unit |
|---|---|---|
| Area A | A | mm² |
| Flow Q | Q | L/min |
Applications
- Pipe flow rate and pressure drop
- Hydraulic cylinder force/speed design
- Flow-meter selection and calibration
FAQ
What formula does this tool use?
This tool computes per ISO / AGMA / ASME standard formulas: Q = A·v, A = πD²/4
How accurate are the results?
Results match input precision, based on SI units and common engineering approximations; for critical duty re-check with a safety factor.
Where is it used?
Pipe flow rate and pressure drop