NONLINEAR EFFECTS FOR FLOW IN PERIODICALLY CONSTRICTED CHANNEL CAUSED BY HIGH INJECTION RATE
Alain P. Bourgeat, Eduard Marušić‐Paloka · Mathematical Models and Methods in Applied Sciences · 1998
We consider a stationary viscous incompressible flow through a periodically constricted channel with the period and thickness ∊, governed by a strong injection of order ∊-1. We prove the well-posedness of the homogenized problem and the convergence of the homogenization process. We obtain a nonlinear filtration law and we give the Taylor expansion of the filtration velocity as a function of the pressure gradient.