Darrozes 
Taking into account the expansion (35) at infinity, the solution ® is 
expanded under the form of an asymptotic approximation : 
~ ~ ap pV ee — 
P =%o +€®, + ( € Log €) 2+ é Log 6Pats ys 
We have obviously 
Po= x (s) 
1= Co(s) 
> Ae a 
oe a 2 6\P ut + Ho if?) sina Ho + Ho =e i ra 
sides Ge Sine OE A nite ee Sy 
The function ®, is a solution of the following problem 
Ze 
(p) 1 (37) 
nV ©"= 6 -on. ¥ is ; At cd 7,488 P sin— 
3 a ain 2 
In order to solve this problem, we must change the Z-axis and choo- 
se the focus of the upper parabola as a new origin 
Revd. 
Qiao" 
Y=¥Y Zee ( 38) 
We define the conformal mapping Zz = g7  withe@=¥+iZ and 
§ = & +in. In the §-plane, we have to determine a flow, with the 
uniform complex velocity 4 i 5 {Par , along a step @ (when a> =0) 
or along a curvilinear wall in the general case @) (when a> #0). The 
solution, in the first case @ is easily obtained, but has no interest 
because the infinite velocity at the point O generates separation 
(except for the ideal angle of attack), The solution in the second case 
@ has not been obtained, but this solution does not present a great 
interest, because a slight change in the incidence remove this point 
of discontinuous curvature, from its present particular position. We 
restrict our study to the regular nose (i.e. discontinuous curvature). 
In that case Hd = - Ho and 55'Pl=o . From the expression (35), the 
behaviour of the inner solution at infinity is : 
= ~ ) 
@ =x(s) +€c,(s) + e ; Ysin ato (2.sgcose+d,(s)sins) + a) + ofc’) 
and is expanded under the form @ = x(s) + €c{'s) + 2 bet o(e?) 
With the new coordinates defined by (38), the function &, is solution 
of =~ 
AyP, =19 
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