Yamazaki 



"■HMxo 



iA 2 V.C,) 



(-ir-iz*(^^,^^)[w*] 



(SH) 



K 



HMyO 





(SH) 



(SH) 



+ [30*/3s] (-1)" [z*(^i,7]i)Bz*(^i.T7,)/3^,+ ^J 



(SH) 



T)d(^l) 



.d7]j 





(39) 



On the other hand, we must take account of the friction drag caused by viscosity 

 in addition to the water pressure. So that, denoting the nondimensional compo- 

 nents of the force and moment due to friction drag by Kjjp^Q, Kj^py^, Kjjp^i^, K^j^^q, 

 *^HMyD' ^"^ ^HMzD Similarly as in Eqs. (37), the nondimensional components Kjjp^, 

 %Fy' ^HFz' ^HMx» ^HMy' ^^^ ^HMz °^ ^^^ totsl force and moment acting on the hull 

 are given as 



HFx - "•HFxO ^ "HExD ' *^HFy ~ ^HFyO ^ ^HFyD • ^HFz " ^HFzO ■*" ^HFzD ' 



Ktii,i„ = Kijw„„ + K 





HMx " "■HMxo "^ '^HMxD ' ^HMy " '^HMyO "^ "'HMyD ' ^HMz " ^HMzO "•■ ^HMzD 



(40) 



Next we consider the force and moment acting on the rudder (8) . The non- 

 dimensional bound vortex gj^ivi -u, s) can be expanded in the series of the appro- 

 priate functions of u as 



gR(T|j,u,s) = a*(r]j,s) y^^ + a*(T)^,s) ^1 - u^ + a*(77^,s)uVl - u2 + •••, (41) 



where a*(T7j,s), a*(T7j,s), etc., are functions of -q^ and s. Then we have 



a*(7]j,s) = — ^ lim gR(T?^,u,s)Vl + u . (42) 



V 2 u-»-i 



28 



