Acceleration Effects

Schematic of bubble position, r, and acoustic forcing, Pa

It is easily shown in the schematic that the global bubble position changes as the acceleration changes, which also leads to a change in the acoustic forcing.

Assume that the bubble experiences some total acceleration a(t).  The balance of body forces is:


SFbody = <V(t)׋Pa(r,t)> + a <V(t)>

  1. a(t) will cause the levitation position of bubble to change:
    new position 
    Þ  new Pa
    solve RP @ new Pa 
    Þ  new Ro (diffusive stability: PaØ RoØ)
    solve RP @ new Ro 
    Þ  new Rmax

Þ  change in SL intensity DISL
  1. a(t) will cause the ambient pressure to change:

Po = P + a (Rs - r)

The hydrostatic term is usually ignored because it only changes about 1%.  However things are different when a change in acceleration is considered.
solve RP @ new Po 
Þ new Ro and Rmax at new Pa
Þ change in SL intensity DISL

  1. KC-135 profile input as a(t), total DISL calculated

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