Instability of steady shearing flows in a non-linear viscoelastic fluid

1978 ◽  
Vol 68 (3) ◽  
pp. 211-225 ◽  
Author(s):  
M. Slemrod
Keyword(s):  
Viscoelastic Fluid ◽  
Non Linear ◽  
Linear Viscoelastic ◽  
Steady Shearing ◽  
Linear Viscoelastic Fluid

Stability of steady shearing flows subject to large shearing perturbations in a non-linear viscoelastic fluid

1980 ◽  
Vol 85 (3-4) ◽  
pp. 251-262
Author(s):  
M. Slemrod
Keyword(s):  
Viscoelastic Fluid ◽  
Equation Of Motion ◽  
Singularly Perturbed ◽  
Singularly Perturbed Equations ◽  
Main Technique ◽  
Non Linear ◽  
Linear Viscoelastic ◽  
Steady Shearing ◽  
Steady State Solutions ◽  
Linear Viscoelastic Fluid

SYNOPSISThis paper studies stability of steady state solutions in a non-linear viscoelastic fluid. The main technique is to imbed the equation of motion in singularly perturbed equations and apply an energy method and the parabolic maximum principle.

Unsteady Flow of a Non-Linear Viscoelastic Fluid in Pipes

2004 ◽  
Author(s):  
Mario F. Letelier ◽  
Nicola´s Madariaga ◽  
Dennis A. Siginer
Keyword(s):  
Velocity Field ◽  
Constitutive Equation ◽  
Pressure Gradient ◽  
Perturbation Method ◽  
Viscoelastic Fluid ◽  
Material Parameter ◽  
Ptt Model ◽  
Linear Viscoelastic ◽  
Dynamic Variables ◽  
Linear Viscoelastic Fluid

Flow of a viscoelastic fluid in round pipes is analyzed for the case where the pressure gradient is oscillatory with varying amplitude. The fluid is modelled according to Phan-Thien-Tanner’s constitutive equation. The analysis is carried out by using the perturbation method in which a material parameter is considered small. Velocity field and other kinematic and dynamic variables are evaluated for a range of relevant parameters. The results are compared with the base Newtonian and linear Maxwell flows. The effect of the PTT model in these type of flows is highlighted.

On the asymptotic behavior of a linear viscoelastic fluid

2012 ◽  
Vol 35 (7) ◽  
pp. 769-775 ◽  
Author(s):  
Mauro Fabrizio ◽  
Barbara Lazzari ◽  
Roberta Nibbi
Keyword(s):  
Asymptotic Behavior ◽  
Viscoelastic Fluid ◽  
Linear Viscoelastic ◽  
Linear Viscoelastic Fluid
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