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Development of a numerical method to simulate viscoelastic axisymmetric free surface flows: PTT Model

Grant number: 11/05090-2
Support type:Scholarships in Brazil - Master
Effective date (Start): March 01, 2012
Effective date (End): February 28, 2013
Field of knowledge:Engineering - Mechanical Engineering - Transport Phenomena
Principal researcher:Gilcilene Sanchez de Paulo
Grantee:Reginaldo Merejolli
Home Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil


The development of a numerical technique for simulating axissimetric viscoelastic free surface flows using the PTT constitutive equation is proposed in this work. The equations describing the numerical technique are solved by the finite difference method on a staggered grid. The fluid is modelledby a Marker-and-Cell type method and an accurate representation of the fluid surface is employed. The full free surface stress conditions are considered. The PTT equation is solved by a high order method, which requires the calculation of the extra-stress tensor on the mesh contours. To validate the numerical technique developed in this work flow predictions for fully developed pipe flow are compared with an analytic solution from the literature. Then, results of complex free surface flows using the PTT equationsuch as the transient extrudate swell problem and the impacting drop onto a rigid plate or liquid are presented.

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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)
TOME, M. F.; MEREJOLLI, R.; PAULO, G. S.; MCKEE, S.. An assessment of the PTT model on the impacting drop problem. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 40, n. 9, . (11/05090-2, 13/07375-0)
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
MEREJOLLI, Reginaldo. Desenvolvimento de um método numérico para simular escoamentos viscoelásticos axissimétricos com superfícies livres: Modelo PTT. 2013. Master's Dissertation - Universidade Estadual Paulista (Unesp). Faculdade de Ciências e Tecnologia. Presidente Prudente Presidente Prudente.

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