Satisfaction of boundary conditions on complex channel walls with quadratic minimization method

Abstract

Numerical analysis of cellular two-dimensional Stokes flow induced by rotation of a circular cylinder in a V-shaped channel bounded by a cylindrical surface has been made. In the numerical calculations, series in terms of polar coordinates are used to represent the stream function and quadratic minimization method is employed to satisfy the outer boundary conditions on the channel walls. Numerical results are presented in the form of streamline patterns.