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2D forms
This chapter has so far treated only the general three-dimensional case. All the concepts remain largely unchanged in two dimensions. The main simplification in 2D is that the vorticity, vortex sheet strength, and circulation vectors have only one component in the y direction into the x-z plane, and hence can be treated as scalars.
ш = ш y
7 = Y У (2.22)
Г = Г У
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The velocity superposition integrals then take on the following forms in two dimensions.
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Their simplified lumped versions follow from the same lumping procedure as in 3D. The sheet coordinates in the x-z plane are now sn, and t is into the plane and parallel to y.
