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Reproducible ideal water-hammer pressure-wave comparison

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A flow stop and its returning pressure wave

This standalone package reproduces one ideal horizontal pipe comparison. The pipe is 100 m long, starts with a uniform 1 m/s water speed and has a fixed-pressure upstream reservoir. The downstream boundary is a prescribed fluid-speed ramp to zero over either 0.05 or 0.80 s. It is not a model of valve aperture, valve hydraulics or a specific installed pressure system.

Run with Python and NumPy:

python -m pip install -r requirements.txt
python reproduce.py

reproduce.py reruns the one-dimensional inviscid characteristic equations, independently constructs the exact traveling-wave series, searches the piecewise-linear peak over 0–1.20 s, checks the frozen reference/result.json, and exits nonzero on a failed check. The source is intentionally a single readable script. The photograph and video editing are not inputs to this calculation.

The positive valve-end pressure rise is 1.00 MPa for the 0.05 s stop and 0.25 MPa for the 0.80 s stop. These peaks need not occur simultaneously. Pressure changes are relative to an assumed 2.00 MPa absolute baseline. In the fast case the outlet fluid speed is zero after 0.05 s but the returning wave reaches it at 0.20 s and its pressure perturbation later becomes negative. The slow case's pressure perturbation returns to zero once its prescribed flow stop finishes; persistent post-stop variation is not claimed for it.

The stipulated effective wave speed is 1000 m/s. No friction, real valve pressure–flow law, nonlinear pipe compliance, junction, vapor cavity or measured pressure history is represented. The reported difference is not a real pipe safety rating or operating recommendation.

Background on characteristic water-hammer modelling: NASA's technical report and USC's research dissertation.

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