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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

An assessment of the PTT model on the impacting drop problem

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Author(s):
Tome, M. F. [1] ; Merejolli, R. [2] ; Paulo, G. S. [3] ; McKee, S. [4]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Dept Appl Math & Stat, Sao Carlos, SP - Brazil
[2] Univ Fed Mato Grosso do Sul, Dept Math, Ponta Pora - Brazil
[3] Sao Paulo State Univ Unesp, Sch Technol & Sci, Presidente Prudente - Brazil
[4] Univ Strathclyde, Dept Math & Stat, Glasgow, Lanark - Scotland
Total Affiliations: 4
Document type: Journal article
Source: Journal of the Brazilian Society of Mechanical Sciences and Engineering; v. 40, n. 9 SEP 2018.
Web of Science Citations: 0
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. (AU)

FAPESP's process: 11/05090-2 - Development of a numerical method to simulate viscoelastic axisymmetric free surface flows: PTT Model
Grantee:Reginaldo Merejolli
Support Opportunities: Scholarships in Brazil - Master
FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:Francisco Louzada Neto
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC