We discuss self-similar solutions for jet breakup for a family of models of nonNewtonian fluids which includes the Phan-Thien Tanner model. The constitutive law is given by Tt + (v · ∇)T− (∇v)T−T(∇v)T + κT +ν(trT)a−1T = μ(∇v + (∇v)T ), (1) where a > 1. For a = 2, a recent paper establishes the existence of a similarity solution for surface tension driven jet breakup. In this paper, we show that...

Wire-coating flow is simulated, involving polymer melt coatings and tube-tooling process design. A finite element method is employed, based on a semi-implicit time-stepping Taylor-Galerkin/pressure-correction scheme. The exponential Phan-Thien/Tanner model is used in its multi-mode form to represent a high-density polyethelyne (HDPE) polymer. Both shear-thinning and elongation-softening propert...

PURPOSE Hemodynamic factors, such as Wall Shear Stress (WSS), play a substantial role in arterial diseases. In the larger arteries, such as the carotid artery, interaction between the vessel wall and blood flow affects the distribution of hemodynamic factors. The fluid is considered to be non-Newtonian, whose flow is governed by the equation of a second-grade viscoelastic fluid and the effects ...

Exact, fully explicit, purely real analytical expressions for the material functions describing steady, startup, and cessation regimes of shear flows planar, uniaxial, biaxial extensional full linear Phan-Thien--Tanner fluids are obtained. These expressions, which have no analogs in literature, formulated compact, beautiful forms, partially due to unique scaling procedure reducing number model ...

This work presents a finite volume method used to solve the relevant coupled equations for general electro-osmotic flows of viscoelastic fluids, using the upper-convected Maxwell and the simplified Phan-Thien–Tanner models. Three different implementations of the electro-osmosis physical models were carried out, which depend on the required level of approximation. In the first implementation, th...

Viscoelastic fluids can be difficult to model due the wide range of different physical behaviors that polymer melts exhibit. One such feature is viscous elastic boundary layer. We address particular problem a viscoelastic shear-dependent fluid flowing past corner and investigate how properties layer change for White-Metzner fluid. The equations are derived upstream matched with far-field flow. ...