Similar solutions for an axisymmetric laminar boundary layer on a circular cylinder
Abstract
NavierStokes (NavSt) equations for axisymmetric flow on a circular cylinder are treated. The NavSt equation for the xdirection is differentiated with respect to y and then subtracted from the xderivative of the equation for the ydirection; there is no velocity in the zdirection. A stream function is introduced, derivatives of higher than first order with respect to x and/or z, and all products of firstorder derivatives in x and z, are dropped, as are x and zderivatives 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.
 Publication:

AIAA Journal
 Pub Date:
 September 1977
 DOI:
 10.2514/3.7429
 Bibcode:
 1977AIAAJ..15.1358M
 Keywords:

 Axisymmetric Flow;
 Boundary Layer Equations;
 Circular Cylinders;
 Laminar Boundary Layer;
 NavierStokes Equation;
 Flow Distribution;
 Flow Theory;
 Flow Velocity;
 Stream Functions (Fluids);
 Fluid Mechanics and Heat Transfer