A steady pressure field, from a flow with no steady part
The time-averaged pressure round a cylinder in a stream that oscillates as U₀cos ωt. The mean velocity is exactly zero at every point — the flow spends as long going one way as the other — and the mean pressure is not, because pressure depends on the square of the speed and a square has no sign. The mean coefficient reaches -2.00 at the shoulders and averages -1.00 over the surface, and its resultant is 6.6e-16: a real field with no force in it. The pale lines are the instantaneous streamlines, which reverse every half cycle.
8 essays call
mean-field. 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 mean-field 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.
Where it is called
What each of these essays asks for instead of the defaults is on the regime index, which reads the parameters back out of the finished figures rather than out of the placements.
- The mean is not the flow Flows and fields
- The drift in a wave that has none Flows and fields
- An oscillation with somewhere to go Viscosity
- A drift made of two things that average to zero Flows and fields
- What a mean profile cannot tell anybody Flows and fields
- The drift a rotating planet takes back Flows and fields
- The drift that turns a current into rolls Flows and fields
- The floor that gives the drift back Flows and fields