An Approximate Method for Calculation of the Laminar Boundary Layer with Suction for Bodies of Arbitrary Shape Page: 4 of 86
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NACA TM No; 1216
layer occurs; here the important problem arises whether this transition can
a be suppressed by moderate suction.
The solutions for the laminar boundary layer with suction existing
so far are not sufficient for answering these questions. Anexact
calculation of the boundary layer with suction encounters insuperable
numerical difficulties just.as in the case of the impermeable wall. Thus
it is the more important to have an approximation method at disposal
which permits one to check the calculation of the boundary layer with
suction for an arbitrary body. Such a method will be developed in the
present treatise. The method given here is an analogon to the well-known
Pohlhausen method for impermeable wall. It permits the calculation of
the laminar boundary layer with suction for an arbitrarily prescribed
shape of the body and an arbitrarily prescribed distribution of the
suction velocity along the contour in the flow.
I I. SYMB 0OLS
x,y coordinates parallel and perpendicular, rek4uctively, to
the wall wetted by the flow (x = y = 0: stagnation
point and leading edge of the plate, respectively)
8* displacement thickness of the boundary layer (1 u/U)4y
. momentum thickness of the boundary layer
u/U(1 - u/M)dy
51 measure of the boundary layer thickness
3 plate length or wing chord, respectively
b plate width
u,v velocity components in the friction layer, parallel and
perpendicular to the wall
U(x) potential velocity outside of the friction layer
Uo free stream velocity
given suction velocity at the wall vo < 0: suction
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Schlichting, H. An Approximate Method for Calculation of the Laminar Boundary Layer with Suction for Bodies of Arbitrary Shape, report, March 1, 1949; (digital.library.unt.edu/ark:/67531/metadc64833/m1/4/: accessed January 23, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.