Numerical simulation of bidimensional incompressible flows between moving surfaces

Abstract

The goal of the present work is the numerical simulation of flows betwen moving surfaces. The method is based on the finite differences explicit Runge-Kutta multi-stage scheme with central spatial discretization and for second order time appoximations. Tests are carried out for parallel plates (Couette) flow and moving cylindrical surfaces for newtonian and non-newtonian (journal bearings) fluids, with and without temperature variantions and the results showed to compare well with analytical, merical or experimental data found in the literature.