Physics

Laminar Pipe Flow Calculator

Calculate ideal laminar volumetric flow through a circular tube from pressure difference.

SI units shown beside each fieldIdeal model explained below
Physics lab
Physics lab

Use the units beside each input and review the model assumptions.

See the method

Define your system

Runs on your device

Your calculated quantity

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter pressure difference, tube internal radius, tube length, dynamic viscosity.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

Volume flow Q = π ΔP r⁴/(8μL).

A WORKED EXAMPLE

Using pressure difference = 100 Pa, tube internal radius = 1 mm, tube length = 1 m, dynamic viscosity = 0.001 Pa·s, the result is 3.92699082e-8 m³/s. Change these example inputs to match your task; use the method above to check each step.

Understanding your result

Hagen–Poiseuille model: fully developed, laminar, Newtonian, incompressible flow in a rigid round tube. Check Reynolds number separately.

What to keep in mind

Hagen–Poiseuille model: fully developed, laminar, Newtonian, incompressible flow in a rigid round tube. Check Reynolds number separately. An idealized educational model using the stated SI units. Real systems may need additional forces, losses or experimental measurements. Not a safety or equipment specification.

Common questions

How do I use this laminar pipe flow calculator?

Calculate ideal laminar volumetric flow through a circular tube from pressure difference. Enter pressure difference in Pa, tube internal radius in mm, tube length in m, dynamic viscosity in Pa·s. The starting example is editable; use values for the same system or project.

Which assumptions affect this result?

Hagen–Poiseuille model: fully developed, laminar, Newtonian, incompressible flow in a rigid round tube. Check Reynolds number separately.

Methodology maintained by ClarityKit. How these tools are built and checked.