Abstract
The present article is focused on a 2D computational fluid mechanics study of local viscous flow dynamics and the formation character of rotary modes of deformation during Equal Channel Multiple Angular Extrusion (ECMAE) of a polymer workpiece fluid model through a U-shaped die with parallel slants in channel intersection zones. The present local flow problem was experimentally analyzed using physical simulation methods and theoretically studied with numerical fluid mechanics techniques. The computational approach has been grounded on the numerical finite difference solution of the boundary value problem for the Navier-Stokes equations in the curl transfer form for the local viscous flow of incompressible Newtonian fluid through a U-shaped rectangular die with parallel slants. The derived research results allow us to draw a conclusion that the implementation of a geometric design of parallel slants within a 2-turn U-shaped die results in localization of the maximum tangential stresses within the workpiece volume to the vicinity of these parallel slants during ECMAE.
Highlights
Computational Fluid Dynamics (CFD) techniques (3-11) are finding new and important industrial applications in the materials science related fields of Severe Plastic Deformation (SPD) (1,3,5-10) . Minakowski (2014) has applied CFD-based techniques to a mathematical description of the flow of an aluminum workpiece during Equal Channel Angular Extrusion (ECAE) through a 2-turn angular die with internal and external radii in the channel intersection zones (3)
Note that there is an influence of instabilities of numerical solutions of the CFD problem (2)-(22) at the entrance at the inlet boundary (Aa) and at the exit Dd of the viscous flow on the accuracy of the numerical integration results in Figs. (3 – 4)
In order to protect the numerical solutions from numerical distortions, caused by instabilities at the inlet zone (Aa), the distribution 2D and 3D plots of energy-power Equal Channel Multiple Angular Extrusion (ECMAE) parameters in (Figs. (3 – 4)) have been derived assuming that the initial solution points are chosen remote from the coordinate grid inlet boundary (Aa) of the viscous flow (i = 0) and were chosen 20 cells away from the Aa boundary
Summary
Computational Fluid Dynamics (CFD) techniques (3-11) are finding new and important industrial applications in the materials science related fields of Severe Plastic Deformation (SPD) (1,3,5-10) . Minakowski (2014) has applied CFD-based techniques to a mathematical description of the flow of an aluminum workpiece during Equal Channel Angular Extrusion (ECAE) through a 2-turn angular die with internal and external radii in the channel intersection zones (3). Perig et al, have applied a CFD-based method of numerical integration of a curl transfer equation for viscous flow of a workpiece through a die with parallel slants in the channel intersection zone (7) . The prime novelty of the present research is the numerical finite-difference solution of boundary value problem for Navier-Stokes equations in the curl transfer form for the viscous workpiece flow through the U-shaped die with parallel slants in channel intersection zones. The authors’ written computer code for the numerical integration of the boundary value problem for curl transfer equation (2)-(3) with initial (4) and boundary conditions (5)-(22) has been proposed and practically realized by the authors with Object Pascal language
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
