The Effect of Compressibility on the Growth of the Laminar Boundary Layer on Low-Drag Wings and Bodies Page: 4 of 21
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NACA TN No. 1255
The several contributions to tho s component of the change
in momentum across the parallelepiped will now be considered in
turn.
The fluid entering the face notnnl to s per unit width
introduces the momentumo
p u2 dy
while that removed at the opposito face is
h h
p u2 dy + de - , pa dy
and hence the change ifn this contribution to the momentum is
h
2 dy(1)
No contribution occurs at the surface of the airfoil but at the
parallel face an amount Pv vV da is removed. Continuity requires
that
-y - {s
t~= 5thence
and so this momentum contribution becomes
d
hp udy
0/(2)
v V = -d ,o udy
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Allen, H. Julian & Nitzberg, Gerald E. The Effect of Compressibility on the Growth of the Laminar Boundary Layer on Low-Drag Wings and Bodies, report, July 1947; (https://digital.library.unt.edu/ark:/67531/metadc55103/m1/4/: accessed April 19, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.