Concept reference
A pump curve is the machine’s answer to a range of imposed flows. For a typical centrifugal pump, developed head falls as flow rises. Efficiency, absorbed power and NPSH required add other constraints, so the useful object is a family of aligned curves—not a single head-flow line.
Hydraulic power is Ph = ρgQH in W; pump input power is Pin = ρgQH/ηp. Read Q, H, efficiency, input power and NPSHr at the same operating point and speed. A trimmed impeller or changed speed creates a different curve.
A catalogue curve is not proof of guaranteed performance unless its test standard, tolerances and supplied configuration are identified. Reading efficiency at the duty flow but head from a neighbouring diameter curve creates a fictitious pump.
Physics sets the relationships; the owner, manufacturer and governing local standard set the project criteria.