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THE FEUTEX TOOLKIT

Parallel Laminar Pipe Split

Determine discharge split and equivalent resistance for two laminar branches.

Hydraulics workspace● Runs in your browser
01 Your input
02 Your result
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FormulaParallel branches share Δp; each conductance is πr⁴/(8µL).
Sources and model references

Worked example

Inputs

Dynamic viscosity
0.1 Pa·s
Common pressure drop
1000 Pa
Branch 1 radius
0.005 m
Branch 1 length
1 m
Branch 2 radius
0.004 m
Branch 2 length
2 m

Expected results

Branch 1 discharge
2.454369261e-06 m³/s
Branch 2 discharge
5.026548246e-07 m³/s
Branch 1 flow fraction
0.8300132802

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter every input in the labeled units; use measured or independently specified properties.
  2. Check the stated model assumptions before calculating.
  3. Interpret the output as a model estimate and verify it independently for the intended application.

Try this example

{
  "mu": 0.1,
  "dp": 1000,
  "r1": 0.005,
  "l1": 1,
  "r2": 0.004,
  "l2": 2
}

Accuracy and scope

Both branches must independently satisfy fully developed laminar flow; entrances, fittings and non-Newtonian behavior omitted. Educational engineering estimate only; not structural or safety certification, equipment selection, or operating recommendations.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.