u⁺ = (1/κ) ln y⁺ + B, integrated rather than asserted

The velocity profile in wall units, produced by integrating the mixing-length closure outward from the wall. The straight portion is the log law and the constants beside it were least-squares fitted to the integrated curve over 50 < y⁺ < 500 — so the 1/κ is a measurement on the drawing rather than the number that was fed in. The viscous sublayer u⁺ = y⁺ comes out rather than being pasted on.

4 essays call wall-law. The drawing above is what it returns with no arguments at all; every call below passes it something, because a placement that passes nothing draws whichever member of the family the generator happens to default to rather than the one its essay argues about.

It is also the blast radius. Changing wall-law changes every figure listed here at once, and on this site it may change what they assert as well as what they show — which is what has to be rebuilt and looked at before the change is believed.