Every head obeys the orifice law: throughput varies with the square root of applied head, Q = K√ΔP. Tower duty sits at the low end — 2 to 7 psi at the tip is standard, an order of magnitude below industrial atomizers. The cooling tower spray nozzle design sheet publishes the K-factor and the pattern footprint at reference pressure; hold those two numbers and the grid layout follows arithmetic. The square-law has an operating consequence: the cooling tower spray nozzle pressure drop quadruples when flow doubles, so a plant that upgrades its circulating capacity by 40% without touching the tips pays double at the manifold and gets a finer, driftier mist for the trouble. Going the other direction, running at 60% flow drops tip pressure to a third of design and the cones sag short of overlap. Where turndown is routine, split the laterals into two valved banks and shut one instead of throttling both.
A worked example makes the arithmetic concrete. Take a body with K = 11.5 gpm/psi^0.5 running at 4 psi: each tip passes 23 gpm, so a grid of 84 of them absorbs 1,930 gpm. Suppose the plant later adds load and pushes 2,400 gpm through the same grid — flow per tip rises to 28.6 gpm, the required figure climbs to (28.6/11.5)² = 6.2 psi, and the extra 2.2 psi shows up on every gauge in the loop while the finer mist quietly raises drift loss. Verification in the field takes ten minutes: a pitot or a calibrated gauge on a mid-grid tapping, compared against the K-factor sheet, exposes both plugging (pressure up, flow down) and erosion (pressure down, flow up) long before thermal performance moves.