Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/38379

TitleSlip flows of Newtonian and viscoelastic fluids in a 4:1 contraction
Author(s)Ferrás, Luís Jorge Lima
Afonso, A. M.
Alves, M. A.
Nóbrega, J. M.
Pinho, F. T.
Carneiro, O. S.
KeywordsContraction
Slip boundary condition
Model
Finite volume method
4:1 contraction
sPTT model
Issue date2014
PublisherElsevier
JournalJournal of Non-Newtonian Fluid Mechanics
CitationFerrás, L.L.; Afonso A.M.; Nóbrega,J.M.; Alves M.A.; Pinho F.T.; Carneiro O.S., Slip flows of Newtonian and viscoelastic fluids in a 4:1 contraction, J. Non-Newtonian Fluid Mechanics 214 28–37, 2014.
Abstract(s)This work presents a numerical study of the 4:1 planar contraction flow of a viscoelastic fluid described by the simplified Phan-Thien–Tanner model under the influence of slip boundary conditions at the channel walls. The linear Navier slip law was considered with the dimensionless slip coefficient varying in the range ½0; 4500. The simulations were carried out for a small constant Reynolds number of 0.04 and Deborah numbers (De) varying between 0 and 5. Convergence could not be achieved for higher values of the Deborah number, especially for large values of the slip coefficient, due to the large stress gradients near the singularity of the reentrant corner. Increasing the slip coefficient leads to the formation of two vortices, a corner and a lip vortex. The lip vortex grows with increasing slip until it absorbs the corner vortex, creating a single large vortex that continues to increase in size and intensity. In the range De = 3–5 no lip vortex was formed. The flow is characterized in detail for De ¼ 1 as function of the slip coefficient, while for the remaining De only the main features are shown for specific values of the slip coefficient.
TypeArticle
URIhttp://hdl.handle.net/1822/38379
DOI10.1016/j.jnnfm.2014.09.007
ISSN0377-0257
Peer-Reviewedyes
AccessOpen access
Appears in Collections:IPC - Artigos em revistas científicas internacionais com arbitragem

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