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She nodded, not understanding, but grateful.
That morning, he had borrowed the only ultrasonic flow meter in the district and walked six kilometers of pipeline, recording data at every valve. Now, back in his office—a tin shed with a flickering tube light—he punched the numbers into a spreadsheet he’d built from Punmia’s iterative method.
And somewhere in the ghost of that textbook, B.C. Punmia’s equations did what they were meant to do: bring water to the thirsty, one node at a time.
Punmia’s example 8.4 showed a classic case: a hidden leak in a secondary branch, impossible to find by listening, but mathematically obvious if you calculated the nodal residuals. The margin note— “leak suspect” —was from some long-dead student, but for Arjun, it was prophecy.