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 , where r is the radial distance from the contact point and λ0 is the smallest Newtonian eigenvalue (dependent upon the angle of separation between the solid and free surfaces). The solvent stress thus behaves like and dominates the polymer stresses, which are like for PTT and 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.
Skip Nav Destination
Article navigation
November 2019
Research Article|
November 05 2019
The extrudate swell singularity of Phan-Thien–Tanner and Giesekus fluids
Jonathan D. Evans;
Jonathan D. Evans
a)
Department of Mathematical Sciences, University of Bath
, Bath BA2 7AY, England
Search for other works by this author on:
Morgan L. Evans
Morgan L. Evans
a)
Department of Mathematical Sciences, University of Bath
, Bath BA2 7AY, England
Search for other works by this author on:
a)
Electronic addresses: masjde@bath.ac.uk and M.L.Evans@bath.ac.uk
Note: This paper is part of the Special Issue from the Institute of Non-Newtonian Fluid Mechanics Meeting, Lake Vyrnwy, 2019.
Physics of Fluids 31, 113102 (2019)
Article history
Received:
October 01 2019
Accepted:
October 17 2019
Connected Content
A correction has been published:
Erratum: “The extrudate swell singularity of Phan-Thien–Tanner and Giesekus fluids” [Phys. Fluids 31, 113102 (2019)]
Citation
Jonathan D. Evans, Morgan L. Evans; The extrudate swell singularity of Phan-Thien–Tanner and Giesekus fluids. Physics of Fluids 1 November 2019; 31 (11): 113102. https://doi.org/10.1063/1.5129664
Download citation file:
Sign in
Don't already have an account? Register
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Pay-Per-View Access
$40.00
Citing articles via
On Oreology, the fracture and flow of “milk's favorite cookie®”
Crystal E. Owens, Max R. Fan (范瑞), et al.
Fluid–structure interaction on vibrating square prisms considering interference effects
Zengshun Chen (陈增顺), 陈增顺, et al.
Physics-informed neural networks for solving Reynolds-averaged Navier–Stokes equations
Hamidreza Eivazi, Mojtaba Tahani, et al.