<DOC>
<DOCNO>
681
</DOCNO>
<TITLE>
integrals and integral equations in linearized wing theory .
</TITLE>
<AUTHOR>
lomax, h. haslet, m.a. and fuller, f.b.
</AUTHOR>
<BIBLIO>
naca rep. 1054, 1951 .
</BIBLIO>
<TEXT>
the formulas of subsonic and supersonic wing theory for source, doublet,
 and vortex distributions are reviewed, and a systematic presentation is
 provided which relates these distributions to the pressure and to the
vertical induced velocity in the plane of the wing . it is shown that
care must be used in treating the singularities involved in the analysis
 and that the order of integration is not always reversible . concepts
suggested by the irreversibility of order of integration are shown to be
 useful in the inversion of singular integral equations when operational
 techniques are used . a number of examples are given to illustrate the
methods presented, attention being directed to supersonic flight
speeds .
</TEXT>
</DOC>
