Linearized Potential Flow Theory for ACVs in a Seaway 



i.e. -2p g//_x'. 5h (x 1 , z' ) dx'dz' + //x j3p dxdy = 

 >1 



b i S 



o 



o 



which specifies the distance of the centre of buoyancy of the side 

 hulls and that of the centre of pressure of the air cushion from the 

 C. G. If these distances are x and x respectively 



- x B m 2 g - x p m 1 g = 



i. e. m„ x_. = - m n x 

 c r> 1 p 



a result which is obvious. 



We may therefore delete the lowest order terms of ( 5 , |3 ) 

 from (6-2) (6-3) and (6-4). The first equation then shows that T is 

 of ° ( 8 2 > (3 2 > 5/?) 



T = 52X 2000 + ^ X 0200 + ^ X 1100 ( 6 " 5 > 



3 2 2 ^ 



and since the left-hand side of (6-3) now becomes of 0(5 ,5/3,5/3 , /3 ) 



we conclude that 



^zooo-^ozoo^^noo = ° < 6 ' 6 ) 



and we may also write 



- h T T = a 2 M 20()0 + Z M O2OO + StlU noo (6-7) 



The wave resistance is given exactly by (6-5) for T = - R 

 and this will be discussed in detail presently. 



Some general remarks can be made without the actual solu- 

 tion of the surface integrals for the forces and moment in (6-5), 

 (6-6) and (6-7). 



Let us consider the integrals 



JJ p dxdy L y v dy 



S x L 



JJ x p Q dxdy = J x p Q dy -JJ Pq 



S x t, S 



o C 



141 



