A wave that dies within one wavelength — 100 Hz in air
The velocity profile above an oscillating wall, at eight phases of one cycle, with depth in units of δ = √(2ν/ω). The motion is a wave travelling *into* the fluid, and its amplitude falls by 1/e in the same distance it turns by one radian — so it is dead within about one wavelength, and the fluid three δ up hardly knows the wall is moving at all. This is one of the very few exact solutions the Navier–Stokes equations have. The dashed line is one fixed distance above the wall in millimetres: in these units it climbs as the square root of the frequency, which is the whole of how far the motion reaches.
13 essays call
oscillating-wall. 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 oscillating-wall 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 wall that shakes Viscosity
- The drift in a wave that has none Flows and fields
- The layer that stops at a depth Viscosity
- An oscillation with somewhere to go Viscosity
- What a fluid takes out of a swing Viscosity
- The drag that integrates a whole history Viscosity
- The wall the fluid is listening to Viscosity
- A wall puts in exactly its own speed Flows and fields
- The solution that keeps its nonlinear term Viscosity
- Everything about the start, except one vector Ideal flow
- One channel, one flux, two flows Viscosity
- Why the list is this long Viscosity
- The theory with no memory in it Ideal flow