Separated flow calculations using an eigenfunction expansion method
Abstract
Flow over a backward facing step is examined by means of an expansion into the eigenfunctions of the Poiseuille flow development. A limit equation is defined for the large Re flow, along with inlet conditions from which the flow evolves. The equations are manipulated to reduce the solution to a quasilinear ordinary differential equation with eigenfunction initial conditions. Computational results are provided for the first six eigenfunctions. Higher numbers of eigenfunctions generated singularities in the simplified ODE. Streamlines, velocity distributions and pressure data are furnished.
 Publication:

Analysis of Laminar Flow over a Backward Facing Step
 Pub Date:
 1984
 Bibcode:
 1984alfb.proc..333K
 Keywords:

 Backward Facing Steps;
 Computational Fluid Dynamics;
 Eigenvectors;
 Laminar Flow;
 Separated Flow;
 High Reynolds Number;
 Linear Equations;
 Pressure Distribution;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer