Incompressible viscous, uniform flow past two parallel cylinders of equal diameter at a critical gap spacing g∗ = 0.90 to 1.10 is investigated using the viscous cell boundary element method. In this critical flow zone an irregular interchange of in-phase and anti-phase wake flows is observed and the switching mechanism between the states is investigated. Numerical studies undertaken at space in...

We consider the flow of a viscous, incompressible, Newtonian fluid in a perforated domain in the plane. The domain is the exterior of a regular lattice of rigid particles. We study the simultaneous limit of vanishing particle size and distance, and of vanishing viscosity. Under suitable conditions on the particle size, particle distance, and viscosity, we prove that solutions of the Navier-Stok...