In this work we propose a novel generalised form of the Phan–Thien and Tanner (PTT) model by considering a new functional form of the nonlinear expression characterizing the destruction of physical network junctions and entanglements. This new function of the trace of the stress tensor is given...
The fiber spinning of polyester is analyzed with an algorithm using the Phan Thien-Tanner model. The discrete relaxation spectrum, necessary for the multimode model, is determined with the storage and loss moduli. Experimental values of the moduli are extrapolated with the help of the Cox-Merz ...
Numerical study of Phan-Thien–Tanner viscoelastic fluid flow around a two-dimensional circular cylinder at a low Reynolds number: a new classification for drag variations regimesNumerical study of Phan-Thien–Tanner viscoelastic fluid flow around a two-dimensional circular cylinder at a low Reynolds ...
The Upper-Convected Maxwell (UCM), Oldroyd-B, and exponential Phan-Thien and Tanner (ePTT) constitutive equations, along with the spherical squirmer model, are utilized. The contribution of the elastic stress in the governing equations give rise to three dimensionless numbers: the viscosity ratio,...
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The stress singularity of the Phan-Thien–Tanner (PTT) fluid is determined for steady planar stick-slip and slip-stick flows. In the presence of a solvent viscosity, we show that the velocity field is Newtonian dominated local to the singularity. The velocity vanishes as v=O(r12), with r...
由于非牛顿流体复杂的物理结构,需要一个本构关系来描述其流变行为。在现有的各种流变模型中,许多研究人员使用简化的Phan - Thien - Tanner模型( sPTT ),因为它的预测是真实的。尽管纯电渗流有一些优点,但它遇到了焦耳热,降低了流速。因此,有时会在电渗流中加入压力驱动泵浦,以降低焦耳热效应。
The uid behaviour is described by the recently proposed viscoelastic model, known as the generalised simplied Phan-Thien-Tanner constitutive equation, that considers the Mittag-Leer function instead of the classical linear and exponential functions of the trace of the stress tensor, and provides one ...
The results show that the proposed semi-analytical method can find a laminar solution using the non-Newtonian LPTT model with solvent viscosity contribution and verify the effect of the parameters in the resulting flow field. Keywords: Phan-Thien-Tanner constitutive equation; semi-analytical method;...
1. Introduction The local asymptotic behaviour of the Phan-Thien–Tanner (PTT) fluid is described at the stick-slip and slip-stick singularities in steady planar flow. The stick-slip problem is of relevance to extru- sion processes and the presence of stress singularities makes numerical analysis...