Pipe Network Analyzer

Balance the flows in a looped pipe network by the Hardy Cross method. Enter each pipe (length, diameter, roughness — or a given K, n), define the loops, and the app iterates the flow corrections until every loop's head loss closes, then reports each pipe's flow, velocity and head loss.

⭐ Free to use · Balance … EP

① Head-loss model

Flow unit

Convergence tolerance (in flow unit)

② Pipes

Give each pipe an assumed initial flow (with sign in your chosen positive loop direction). Initial flows must satisfy continuity at every node.

③ Loops

List each loop's pipes by row number, signed for the loop's clockwise direction. A pipe shared by two loops appears in both (e.g. + in one, − in the other). Example: 1, 2, -4, -3.

Max iterations

🔩 Network solution

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Hardy Cross iteration

Convergence

Final pipe flows

Loop balance check

How it was solved

⚠️ Study/estimating aid. Hardy Cross results depend on your loop definitions and on continuity-consistent initial guesses. Verify the friction model (Hazen-Williams C, Darcy f) and your loop signs against your course references and the actual network. Reservoirs/pumps with fixed heads need the extended (loop-with-pseudo-element) method.