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Development of the numerical method for simulating unsteady viscoelastic free surface flows


This research project proposes to obtain numerical results for complex unsteady free surface flows considering FENE-P viscoelastic fluid. The governing equations for transient incompressible flows using the FENE-P fluid will be solved by the finite difference method on a staggered grid. The fluid will be modelled by a Marker-and-Cell type method and an accurate representation of the fluid surface will be employed. The full free surface stress conditions will be considered. The FENE-P equation will besolved by a high order method, which requires the calculation of the extra-stress tensor onthe mesh contours. Indeed, an implicit treatment to solve the momentum equation and the pressure equation will be employed. To validate the numerical technique developed in this work flow predictions for fully developed pipe flow are compared with an analytic solution or experimental. Then, results of complexfree surface flows using the FENE-P fluid, such as, {jet buckling} and {dieswell}, will be presented in the cases 2D and 3D. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
PAULO, G. S.; OISHI, C. M.; TOME, M. F.; ALVES, M. A.; PINHO, F. T.. Numerical solution of the FENE-CR model in complex flows. Journal of Non-Newtonian Fluid Mechanics, v. 204, p. 50-61, . (13/07375-0, 11/13930-0, 09/15892-9)
TOME, M. F.; CASTELO, A.; NOBREGA, J. M.; CARNEIRO, O. S.; PAULO, G. S.; PEREIRA, F. T.. Numerical and experimental investigations of three-dimensional container filling with Newtonian viscous fluids. COMPUTERS & FLUIDS, v. 90, p. 172-185, . (11/13930-0)
TOME, M. F.; BERTOCO, J.; OISHI, C. M.; ARAUJO, M. S. B.; CRUZ, D.; PINHO, F. T.; VYNNYCKY, M.. A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows. Journal of Computational Physics, v. 311, p. 114-141, . (13/07375-0, 11/13930-0)

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