An assessment of the PTT model on the impacting drop problem

Autor(es)

Tome, M. F. ^[1] ; Merejolli, R. ^[2] ; Paulo, G. S. ^[3] ; McKee, S. ^[4]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Journal of the Brazilian Society of Mechanical Sciences and Engineering; v. 40, n. 9 SEP 2018.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 11/05090-2 - Desenvolvimento de um método numérico para simular escoamentos viscoelásticos axissimétricos com superfícies livres: Modelo PTT
• Beneficiário: Reginaldo Merejolli
• Modalidade de apoio: Bolsas no Brasil - Mestrado
• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: Francisco Louzada Neto
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs