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Boundary Integral Equations for Viscous Flows – non-Newtonian Behavior and Solid Inclusions

Direct boundary integral formulations are developed for the solution of viscous fluid flow problems, specifically for non-Newtonian fluids and fluids containing solids. The partial differential equations are transformed into integral equations by Green’s identities. Here, the velocity field is represented as a combination of hydrodynamic potentials of single- and double-layer, whose densities are the velocity and traction fields. For non-Newtonian fluid flow problems the nonlinear terms of the original equations appear as kernels of domain integrals. The domain grid superposition (DGS) technique is developed in order to approximate these integrals. The technique superimposes a fixed grid with the domain under consideration. Cells, located in the intersection between the grid and the domain, are used to directly calculate the domain integral by cell integration. A pressure driven flow and a Couette flow are used in order to check the DGS technique. For viscous fluids containing solids, a direct boundary integral formulation is used to simulate solid dynamics in viscous flows. Several problems are solved using the direct integral formulation to compare with approximate and/or analytical solutions.

Lesen Sie die deutsche Zusammenfassung auf Kunststoffe.de
Author
 Juan Hernández-Ortiz

Juan Hernández-Ortiz
University of Wisconsin at Madison

Information

Free keywords: Integral Equations, Boundary Elements, Non-Newtonion, Suspension Rheologie, Composites
Institute / chair: University of Wisconsin at Madison
Language: German
Technical consultant for expert services: Prof. Dr. Tim A. Osswald
Publication year: 2004
Provider: Wissenschaftlicher Arbeitskreis Kunststofftechnik (WAK) / Kunststoffe.de

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