TY - JOUR
T1 - Numerical Solution of the Upper-Convected Maxwell Model for Three-Dimensional Free Surface Flows
AU - Murilo F. Tomé, Renato A. P. Silva, Cassio M. Oishi & Sean McKee
JO - Communications in Computational Physics
VL - 2
SP - 367
EP - 395
PY - 2009
DA - 2009/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7685.html
KW - 
AB - <p style="text-align: justify;">This work presents a finite difference technique for simulating three-dimensional
free surface flows governed by the Upper-Convected Maxwell (UCM) constitutive
equation. A Marker-and-Cell approach is employed to represent the fluid free surface
and formulations for calculating the non-Newtonian stress tensor on solid boundaries
are developed. The complete free surface stress conditions are employed. The
momentum equation is solved by an implicit technique while the UCM constitutive
equation is integrated by the explicit Euler method. The resulting equations are solved
by the finite difference method on a 3D-staggered grid. By using an exact solution for
fully developed flow inside a pipe, validation and convergence results are provided.
Numerical results include the simulation of the transient extrudate swell and the comparison
between jet buckling of UCM and Newtonian fluids.</p>