Therefore, by substituting for U(x ), Equations (17) and (18) can 

 be rewritten as 





tanh 



114.6 [ 



(Qc/Q.) 



2 (Q , /Qa) 



tanh 



C7S 



114.6 



(Q,/Qa) 



+ 2 (Q,/Q,) 



(20) 



and 



^OR a 



p V 



tanh 



_£L 



114.6 



3 (Q,/Q,) 



max 



2 (Q./Q,) 



tanh 



as 



114.6 



(Qe/Qa) - 2 (Q,/Q^) 

 max 



(21) 



It should be noted here that p which appears in Equations (20) and 

 (21) is a function of the passive to active legs flow ratio and of 

 the ratio of the widths of the active to passive legs flow passages. 

 Thus, the output flow described by the above equations is a function 

 of the active and passive leg flows, the active and passive leg flow 

 passages geometric parameters, the power jet deflection characteristics 

 slope, the distance of the spUtter from the supply flow interation 

 point and the dimensionless control flow. Solutions of these equations 

 are obtained for the active and passive leg flows combinations shown 

 in Table 4. These solutions are listed in Table 6 and are shown in 

 Figure 25, in which parameters 



OR 



P 



— and 



'OL 



plotted against the dimensionless control flow Q /Q . It should be 

 noted from Figure 25 and from Equations (20) and (21) that the output 

 flow can be switched completely from one port to the other. Thus, 

 ideally for the maximum deflection of the power jet, that about 90 percent 



19 



