Lab utilitiesMVP
Syringe pump settings
Map a syringe's inner diameter between plunger speed and volumetric flow rate.
Inputs
Result
Enter the syringe diameter and target to see the setting.
Interpretation
Syringe pumps are programmed either by plunger speed or by flow rate. This tool converts between them for a given syringe diameter.
Formula
Q = A · v, A = π · d² / 4
Exact geometric relation for the syringe barrel.
Variables
| Symbol | Variable | Unit |
|---|---|---|
| Q | Volumetric flow rate | m³/s |
| A | Syringe cross-section area | m² |
| v | Plunger linear speed | m/s |
| d | Syringe inner diameter | m |
Assumptions & validity
This tool assumes:
- Q = A·v with A = π·d²/4 (based on the syringe inner diameter) — exact geometry.
- Incompressible fluid.
- No leakage, and no system compliance (tubing/seal deformation ignored).
Worked example
A 1 mL syringe (d = 4.6 mm) set to Q = 10 µL/min.
A = π(4.6×10⁻³)²/4 ≈ 1.66×10⁻⁵ m²; v = Q/A ≈ 0.010 mm/s