Department of Mechanical Engineering, Aeronautical Engineering and Mechanics, Rensselaer Polytechnic Institute, Troy, NY 12180-3590, U.S.A.
Abstract:
A similarity solution is obtained for the two-dimensional creeping flow of a second-order fluid with non-parallel porous walls. The resulting ordinary differential equation is fifth order. Thus, an additional velocity boundary condition is needed, the other four being due to the usual no-slip conditions. Having chosen to prescribe the rate of shear at the wall, the problem is solved by a standard numerical routine. A singular perturbation analysis is developed for small values of the Deborah number. A type of boundary layer forms for which the viscous Newtonian case is the outer solution.