When the cavity length for the given design cavitation number and the given leading-edge 

 thickness is too small, a new leading-edge thickness which produces the required cavity length can be 

 obtained as follows. When the cavity length is known, the coordinates of the corresponding cavity 

 end point in the transformed plane, a { and a 3 , are known. From Equations (A4) through (A6), a/2 

 can be represented in terms of C L /C M , aj and a 3 . 



a/2 = i I- 1 + V tan 7) -?— ( 



V I 47rK V V tan 7 - U 



{UaC M +(Usin7 + Vcos7)C L |- — ^ (a 2 C M + asin7C L )| 



(A7) 



Thus 



where 



_- V -(-l + Vtan 7 )BUa- — 



B 



/( 



— (- 



(- 1 + V tan 7) B(U sin 7 + V cos 7) 



a sin 7 

 4ttK 



(A8) 



4ttK \Vtan7-Uy 

 The cavitation number for infinite cavity has the relation with C L /C M from Equation (A4) 



2C 



acos7<T L /(C M 4ttK) 



(A9) 



Since o^jC^ is a linear function of the leading-edge cavity thickness, the new leading-edge cavity 

 thickness corresponding to the new value of a^/Cj^ can be obtained. Because the load distribution 

 is already satisfied by the camber and the angle of attack, the leading-edge thickness should be 

 augmented by the additional point drag which does not contribute to the lift. 



L8 



