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Compressible 3D far-field
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The 3D incompressible far-field potential and velocities, when written using the transformed variables, become applicable to the compressible case,
The incompressible 3D far-field analysis of Section (2.12) gives the far-field source £ in terms of the body’s wake momentum defect and drag, and gives the far-field x-doublet Kx in terms of the body’s volume. Noting that both the area and volume scale as в2 in the PG transformation, the transformed strengths for the transformed far-field expansion are given in terms of the physical parameters as follows. Relation (8.114) is also applied to relate the wake displacement area to the momentum area and drag.
s = KA = V^02 = l-V^SrefCDJ2 (l + (7-l)Mt) (8.125)
Kfx = Vo f = Vo V в2 (8.126)
