An assessment of the PTT model on the impacting drop problem

M. F. Tomé, R. Merejolli, G. S. Paulo, S. McKee

Research output: Contribution to journalArticle

Abstract

This work presents a numerical method and simulations of axisymmetric free-surface flows of a polymeric fluid using the Phan–Thien–Tanner (PTT) constitutive relationship. The governing equations are solved by finite differences on a staggered grid that employs accurate boundary conditions on the free surface together with bounded, monotone, high-order upwinding approximation of the convection terms. The numerical method is partially verified by solving fully developed flow in a tube and comparing it to a known analytic solution. The problem of a drop impacting on a rigid plate is considered. The effect of varying the five parameters, characterizing the PTT model, is studied extensively, and the results are interpreted physically. The expansion–contraction phenomenon of the viscoelastic drop that occurs when it hits a flat surface is tracked, and the time evolution of the normal and shear components of the extra-stress tensor is analyzed. To further verify the code, the impacting drop of an Oldroyd-B fluid is simulated and the time evolution of the drop width is compared to that of other authors.

LanguageEnglish
Article number468
Number of pages12
JournalJournal of the Brazilian Society of Mechanical Sciences and Engineering
Volume40
DOIs
Publication statusPublished - 30 Sep 2018

Fingerprint

Numerical methods
Numerical Methods
Oldroyd-B Fluid
Upwinding
Staggered Grid
Axisymmetric Flow
Fluids
Free Surface Flow
Stress Tensor
Hits
Analytic Solution
Model
Free Surface
Convection
Tensors
Contraction
Governing equation
Monotone
Tube
Finite Difference

Keywords

  • axisymmetric flow
  • finite difference method
  • free-surface flow
  • impacting drop
  • PTT model

Cite this

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An assessment of the PTT model on the impacting drop problem. / Tomé, M. F.; Merejolli, R.; Paulo, G. S.; McKee, S.

In: Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 40, 468, 30.09.2018.

Research output: Contribution to journalArticle

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