Science
Reynolds number
Compare inertial effects with viscous effects using density, mean speed, characteristic length and dynamic viscosity to obtain a dimensionless Reynolds number.
Calculators / Science / Laminar flow through a round pipe
Laminar flow through a round pipe calculator
Calculate ideal laminar flow driven by a pressure drop through a circular pipe.
On this page
Volume flow rate6.28e-7m³/s
Mean flow speed0.05m/s
Calculator controls
How to calculate
Calculate ideal laminar flow driven by a pressure drop through a circular pipe.
Volume flow rate =
pi*r^4*dp/(8*mu*L) m³/sMean flow speed =
r^2*dp/(8*mu*L) m/sWorked example
- Internal radius (m): 0.002
- Pipe length (m): 1
- Dynamic viscosity (Pa·s): 0.001
- Pressure drop (Pa): 100
- Volume flow rate: 6.28e-7 m³/s
- Mean flow speed: 0.05 m/s
Assumptions and limits
This is an ideal educational model. Enter quantities in the stated SI units; it does not certify equipment safety or real operating limits. Uses fully developed laminar flow of a Newtonian fluid in a straight circular pipe with no-slip walls.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Calculate ideal laminar flow driven by a pressure drop through a circular pipe. Check the Reynolds number separately. The fourth-power radius dependence does not apply to turbulent pipe flow.
When this tool is useful
Check the Reynolds number separately. The fourth-power radius dependence does not apply to turbulent pipe flow.
Understanding your inputs
| Input | Example |
|---|---|
Internal radius (m) r | 0.002 |
Pipe length (m) L | 1 |
Dynamic viscosity (Pa·s) mu | 0.001 |
Pressure drop (Pa) dp | 100 |
Frequently asked questions
Which assumptions matter for this result?
This is an ideal educational model. Enter quantities in the stated SI units; it does not certify equipment safety or real operating limits. Uses fully developed laminar flow of a Newtonian fluid in a straight circular pipe with no-slip walls.
How can I check the worked example?
Use the displayed example inputs in the stated formula. Keep each quantity in its labelled unit and compare the unrounded result before applying display rounding.