在本研究中,我们研究了非牛顿流体通过恒温壁面狭缝型平行板微通道的电渗和压力驱动的联合流动。为了模拟流体的非牛顿流变,我们使用了一个简化的Phan - Thien - Tanner模型,并通过调用EDL势的全尺度解获得了速度、流量和剪切应力分布的闭式解析解。利用Debye–Huckel线性化近似也得到了相应的结果。另一方面,对于恒温壁...
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...
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 ...
Two problems of laminar-forced convection in pipes and channels, under fully developed conditions, are solved for an imposed constant temperature at the wall, with fluids obeying the simplified Phan-Thien–Tanner (SPTT) model. The fluid properties are taken as constants and axial conduction is negl...
This paper deals with peristaltic transport of Phan-Thien-Tanner fluid in an asymmetric channel induced by sinusoidal peristaltic waves traveling down the flexible walls of the channel. The flow is investigated in a wave frame of reference moving with the velocity of the waveby using the long wav...
More specifically, it is modeled by the Phan-Thien–Tanner constitutive equations. A perturbation analysis for all the primary variables is carried out with the Deborah number as the perturbation parameter. The sequence of governing equations that results from the perturbation procedure is solved ...
This work presents a semi-analytical method for laminar steady-state channel and pipe flows of viscoelastic fluids using the Linear Phan-Thien-Tanner (LPTT) constitutive equation, with solvent viscosity contribution. For the semi-analytical method valida
Phan-Thien–Tanner (PTT) Solvent viscosity Stick-slip Boundary layers Stress singularity a b s t r a c t 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...
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 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...