A Numerical Method for Simulation of Incompressible Three-Dimensional Newtonian and Non-Newtonian Flows

摘要

Three-dimensional Newtonian and non-Newtonian flows are found in numerous engineering applications. Simulation of this class of problems requires robust mathematical and computational modeling. The main goal of this article is to propose a unified numerical methodology for solving three-dimensional, laminar, incompressible Newtonian and non-Newtonian steady flows. A second-order, fully implicit finite-difference approximation is used to discretize the governing equations in a collocated mesh, in which Jacobian matrices are derived to account for distinct constitutive relations for Newtonian and non-Newtonian fluids. The strategy also uses a Euler implicit pseudo-transient time stepping aiming at steady-state solutions. Examples illustrating Newtonian and non-Newtonian (polymer melts) fluid flow in 3-D geometries are discussed.View full textDownload full textRelated var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/10407790.2011.572727