Modified integral equation solution of steady viscous flow in a bifurcating channel
Abstract
A steady twodimensional viscous flow through a bifurcated channel formed by two infinite parallel stationary planes separated along the channel centerline by a third semiinfinite parallel stationary plane is studied. Accurate solutions to this problem were obtained using a direct boundary integral approach, incorporating the analytic form of the singularity into a modified biharmonic boundary integral equation method. An analytic expansion is derived for the velocity and vorticity in the region of the singularity, and a graphical comparison of the streamlines near the singularity is given for the modified method and a previous technique. The present method indicates much improved convergence.
 Publication:

IN: Boundary element methods in engineering; Proceedings of the Fourth International Seminar
 Pub Date:
 1982
 Bibcode:
 1982beme.proc..218I
 Keywords:

 Channel Flow;
 Computational Fluid Dynamics;
 Integral Equations;
 Steady Flow;
 Viscous Flow;
 Singularity (Mathematics);
 Two Dimensional Flow;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer