Bifurcations in viscous flow fields. On the genesis and development of topologically complicated separated flow structures
Abstract
A qualitative theory of dynamical systems with topological considerations is applied to steady viscous flows. Local solutions of the NavierStokes equations are constructed in the phase space and a classification of possible flow topologies near fixed and moving walls is presented. A detailed study of the unfoldings and bifurcation behavior of higher order singular points is described. It is concluded that despite their rare appearance in practice, higher order singularities are the cornerstones of a method providing local solution to NavierStokes equations.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 February 1989
 Bibcode:
 1989STIN...9022012B
 Keywords:

 Branching (Physics);
 Flow Distribution;
 NavierStokes Equation;
 Separated Flow;
 Topology;
 Viscous Flow;
 Flow Characteristics;
 Numerical Flow Visualization;
 Points (Mathematics);
 Singularity (Mathematics);
 Steady Flow;
 Wall Flow;
 Fluid Mechanics and Heat Transfer