F,3 • FLAT PLATE SOLUTION 

 0.6 I 1 1 \ 1 0.90 



0.5 



0.4 



-^ 0.3 



0.2 



0.1 



is approximated by 



2 3 4 



Fig. F,3. 'g^ as a function of g^. 

 gj^ + 2 = 



0.88 



0.86 



0.84 



0.82 



0.80 



0.78 



II cn 



I en 



(3-24) 



which can be integrated in closed form. The double bar is used to desig- 

 nate the solution of this approximate equation. In terms of g'^, the solu- 

 tion of Eq. 3-24 which satisfies the condition ^:,:(1) = is 



Q^ 2 



-(^) 



(3-25) 



where ^ is the error function, viz. 



<A(x) = ^ / e-''dt 

 Vtt Jo 



Now ^i can be obtained from the requirement that the slopes of g^ and g^ 

 must match at w^ = 1 — i. Hence it follows from the first integral of 

 Eq. 3-8 that 



m - i) = g;(i -i) = - j^ 



{ a47 > 



g*(u^) 



dUi 



(3-26) 



