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Poiseuille Flow Calculator — result sheet
Calculate ideal laminar flow through a circular tube from pressure drop, radius, length, and dynamic viscosity.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Q = πΔP r⁴/(8ηL); hydraulic resistance R = 8ηL/(πr⁴); mean speed = Q/(πr²).
Poiseuille's law shows how strongly a long, viscous, circular tube resists steady laminar flow, including the fourth-power dependence on radius.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Pressure difference — Pa; minimum 0; maximum 1000000000000
- Tube radius — m; minimum 1.0E-6; maximum 1000000
- Tube length — m; minimum 1.0E-6; maximum 1000000
- Dynamic viscosity — Pa·s; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Pressure difference | 1000 |
| Tube radius | 0.005 |
| Tube length | 1 |
| Dynamic viscosity | 0.001 |
The ideal flow is about 0.000245 m³/s and mean speed is about 3.13 m/s.
Assumptions and limits
- The fluid is incompressible and Newtonian, and the flow is steady, fully developed, and laminar in a uniform circular tube.
- Pressure drop, radius, length, and viscosity use compatible SI units.
- Entrance effects, turbulence, flexible walls, non-Newtonian behavior, gravity, and temperature-dependent viscosity are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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