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

The extrudate swell singularity of Phan-Thieri-Tanner and Giesekus fluids

Full text
Evans, Jonathan D. [1] ; Evans, Morgan L. [1]
Total Authors: 2
[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon - England
Total Affiliations: 1
Document type: Journal article
Source: Physics of Fluids; v. 31, n. 11 NOV 2019.
Web of Science Citations: 0

The stress singularity for Phan-Thien-Tanner (PTT) and Giesekus viscoelastic fluids is determined for extrudate swell (commonly termed die swell). In the presence of a Newtonian solvent viscosity, the solvent stress dominates the polymer stresses local to the contact point between the solid (no-slip) surface inside the die and the free (slip) surface outside the die. The velocity field thus vanishes like r(lambda 0), where r is the radial distance from the contact point and lambda(0) is the smallest Newtonian eigenvalue (dependent upon the angle of separation between the solid and free surfaces). The solvent stress thus behaves like r(-(1-lambda 0)) and dominates the polymer stresses, which are like r(-4(1-lambda 0)/(5+lambda 0)) for PTT and r(-(1-lambda 0)(3-lambda 0)/4) for Giesekus. The polymer stresses require boundary layers at both the solid and free surfaces, the thicknesses of which are derived. These results do not hold for the Oldroyd-B fluid. Published under license by AIP Publishing. (AU)

FAPESP's process: 18/22242-0 - Free surface flows of complex fluids
Grantee:Murilo Francisco Tome
Support type: Regular Research Grants