Similar solutions for an axisymmetric laminar boundary layer on a circular cylinder

Navier-Stokes (NavSt) equations for axisymmetric flow on a circular cylinder are treated. The NavSt equation for the x-direction is differentiated with respect to y and then subtracted from the x-derivative of the equation for the y-direction; there is no velocity in the z-direction. A stream function is introduced, derivatives of higher than first order with respect to x and/or z, and all products of first-order derivatives in x and z, are dropped, as are x- and z-derivatives multiplied by the kinematic viscosity. No approximations are entertained. Some dimensionless parameters are introduced. Tangential velocity ratios are plotted for some of the dimensionless ratios. Conditions allowing a straightforward algebraic solution, and mainstream conditions (either flow outside the cylinder, or suction), are exhibited.