Viscous Flow in Angle Sectors

Abstract

Viscous flows in cavities having the cross‐sectional shape of circular angle sectors are considered. The complete range of angles from $\text{π/12}$ to $\pi$ is investigated numerically, using a new approximation method. The occurrence of higher‐order vortices in the corner region is verified and numerical values for both the stream function and location of vortex centers are obtained. Experimental data were taken for sectors with three different opening angles.