Viscous flow between two coaxial cones
Abstract
A numerical method of resolution of laminar incompressible flows in cones of revolution is proposed by asymptotic expansions in powers of 1/r (r radius vector). Remarks on linearity allow to calculate all wanted terms, function after function, by fourthorder RungeKutta process. Two examples are selected: the flow between two symmetric cones and one between a cone and a plane. The study of the flow between two symmetric cones as a function of the aperture angle reveals the existence of two patterns separated by a discontinuity at approximately 156 deg.
 Publication:

Applied Scientific Research
 Pub Date:
 January 1975
 Bibcode:
 1975ApScR..30..221F
 Keywords:

 Asymptotic Methods;
 Bodies Of Revolution;
 Conical Bodies;
 Incompressible Flow;
 Numerical Flow Visualization;
 Viscous Flow;
 Coaxial Flow;
 Equations Of Motion;
 Laminar Flow;
 RungeKutta Method;
 Fluid Mechanics and Heat Transfer