Calculations of asymmetric re-entrant jet flows have not yet been carried out in specific 

 instances. 



Turning to the Riabouchinsky flow past the plate (Fig. 2), and assuming the 

 flow so normalized that / = — 1 , +1 at the front and rear stagnation points, one 

 finds 



FIG. 2 



RIABOUCHlNSKY CAVITY 



f -PLANE 



ABB' 

 (B) 

 dz Vf 2 - fc 2 +/Vl - /e 2 



df kVT^l 



where 



2k' 



and k' =V 1 - W 



k' 



(9) 



(10) 



The various flow quantities can be expressed in terms of the complete elliptic integrals 

 of first and second kinds, denoted in the usual notation by E — E(k), E' — E{k'), 

 K — K(k), K' zz K(k'). Thus, we have: the ratio of cavity width d to plate length /, 



d k' + E' - k 2 K' 



- = ; (11) 



I k M - + E'-- k 2 K' 



the ratio of cavity length h to plate length, 



h E - k' 2 K 



the drag coefficient, 



I k' 2 + E' - k*K' 



E' - k 2 K' 



C D = 2(1 + a) 



fc'a + E' - k 2 K' 

 284 



(12) 



(13) 



