<DOC>
<DOCNO>
705
</DOCNO>
<TITLE>
on the kernel function of the integral equation relating the lift and
downwash distributions of oscillating finite wings in subsonic flow .
</TITLE>
<AUTHOR>
watkins, c.e. and runyal, h.l. and woolston, d.s.
</AUTHOR>
<BIBLIO>
naca rep. 1234, 1955 .
</BIBLIO>
<TEXT>
this report treats the kernel function of an integral equation that relates
a known or prescribed downwash distribution to an unknown lift
distribution for a harmonically oscillating finite wing in compressible
subsonic flow . the kernel function is reduced to a form that can be
accurately evaluated by separating the kernel function into two parts ..
 a part in which the singularities are isolated and analytically expressed
and a nonsingular part which may be tabulated . the form of the
kernel function for the sonic case /mach number of 1/ is treated
separately . in addition, results for the special cases of mach number
of o /incompressible case/ and frequency of o /steady case/ are given .
the derivation of the integral equation which involves this kernel
function, originally performed elsewhere /see, for example, naca technical
memorandum 979/, is reproduced as an appendix . another appendix
gives the reduction of the form of the kernel function obtained herein
for the three-dimensional case to a known result of possio for twodimensional
flow . a third appendix contains some remarks on the
evaluation of the kernel function, and a fourth appendix presents an
alternate form of expression for the kernel function .
</TEXT>
</DOC>
