Title:
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Investigation of the flow in axial compressor cascades as affected by separation.
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An attempt to validate the use of the Riegels-factor and
to obtain the camber line velocity near the nose of a rounded profile
is made.
Three methods for replacing profile thickness by a source
distribution along the straight camber line of NACA-4-digit profiles
'by
are described, the first/taking account of the induced velocity
(method 2), the second by taking account of its derivative also
(method 3), while the "methodl" refers to the previous simplification
which uses the free stream velocity only.
A new "source-correction-factor Rf " is presented and used in
connection with each of the above methods (referred to here as method
lA, 2A and 3A). The velocity distributions on the blade surfaces
obtained by these methods together with the use of the Riegels~factor
are compared with the surface velocity distributions obtained by the
method of Martensen.
Method 2 "is applied to an ellipse, and an analytical solution
for the source distribution is derived. The numerical solution of
the integral equation resulting is compared with the analytical solution
and the difficulties arising in the numerical treatment are resolved.
The modified numerical solution is applied also to the NACA-profiles,
and in addition suggestion on the basis of the above numerical solution
using method 3 is presented.
In order to assess the validity of correction factors for
obtaining surface velocities from camber line velocities on which
source sheets are imposed the "Bounding Stream Lines" around arbitrary
- x -
linear source distributions are found iteratively after determination
of the velocity components along the "camber line" and in the flow
above it by exact numerical integration.
Finally the stagnation points of the dividing stream line
are also found by integration.
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