Modified integral equation solution of steady viscous flow in a bifurcating channel
Abstract
A steady two-dimensional 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:
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- Channel Flow;
- Computational Fluid Dynamics;
- Integral Equations;
- Steady Flow;
- Viscous Flow;
- Singularity (Mathematics);
- Two Dimensional Flow;
- Velocity Distribution;
- Fluid Mechanics and Heat Transfer