.TRANSFORM.Fluid.ClosureRelations.PumpCharacteristics.Models.Head.PerformanceCurve

Information

Pump head characteristic in the form head = affinityLaw * f(V_flow, V_flow_curve, head_curve, N/N_nominal), solving for head given volumetric flow. The affinity-law factor used here is affinityLaw = (N/N_nominal)² (diameter/diameter_nominal)², applied to the head output only.

If checkValve = true, a parametric s abscissa with a homotopy transition is used so that reverse flow is suppressed below the closing point of the curve. The homotopy fallback expression at s = 0 uses head_start, evaluated once at parameter time from the same curve.

The spline tangents d_curve are computed once as a final parameter and passed to Functions.PerformanceCurve on every call (including the head_start parameter evaluation). This keeps splineDerivatives out of the time-derivative chain and enables analytic Jacobians.