Studies on the Motion of Viscous Flows — III 

 n Normal vector 



Dissipation function 



Coefficients of viscosity of the fluid 



Density of the fluid 



Kinematic viscosity 



Dimensional uniform velocity at infinity 



Dimensional constant pressure at infinity 



Reynolds number based on the radius of the cylinder 



Linear vector space 



Linear differential operators 



Nonlinear differential operators 



Formal solution to the Navier -Stokes equations and 

 associated boundary conditions, etc. 



Potential flow stream function 



Potential flow velocity components 



Potential flow pressure field 



Stream function corresponding to the nth iteration 



Velocity components corresponding to the nth iteration 



Formal solution corresponding to the nth iteration 



Force exerted by the fluid on the cylinder per unit 

 length along the polar axis 



Radial stress . r 



Tangential stress 

 p^ Pressure field corresponding to the nth iteration 

 A^, B^ Fourier coefficients of the stream function 

 C , D Fourier coefficients of the stream function 



n n 



Q^, %^ Refer to definition in Eq. (2.4) 

 491 



r r ' r r 



O-ln, O- 



■e 



