NOTATION 



A Vector doublet strength of a singularity 



A Equivalent vector doublet strength of a moving singularity 



''n' "n' "■«' "n 



Coefficients in the expansion of a potential in spherical 

 harmonics 



a* ,' 6* ' Coefficients in expansion for singularity equivalent to 



moving singularity 



F Net hydrodynamic force acting on surface S 



F. 



Force on S in a moving system 



' 1 "Lagally force" on S 



F„ Additional force on S due to change of the flow with time 



F, Additional force on S due to a rotation of the body 



t| F.(i), ^2^^^' ^3^^^ Force integrals evaluated over S^ 



'^ia:(^)» ''^i (0> ^iz('^^ Components of F .(i) parallel to the x, y, s-axes 

 i, j, k Unit vectors parallel to the x, y, s-axes 



Integral appearing in F ^(i) 

 Integral appearing in iK (i) 

 Hydrodynamic moment acting on S 

 Moment on S in a moving system 

 "Lagally moment" on S 



Additional moment on S due to change of the flow with time 

 Additional moment on S due to a rotation of the body. 

 Moment integrals evaluated over S, 



^ix(^^' ^iy('^)> '^izTO Components of iA.(i) parallel to the x, y, s-axes 



Tfl Momentum of a mass of fluid 



1tX Moment of momentum of a mass of fluid 



n Unit normal vector to a surface (directed inward to S, 



outward to S') 



Ir. 



Sv> 



v± 



I) 



Jr 



Sv> 



p± 

 K 



M3 



1) 



M 



Ai)> M, 



(i) 



