scholarly journals Tumbling-Snake Model for Polymeric Liquids Subjected to Biaxial Elongational Flows with a Focus on Planar Elongation

Polymers ◽  
2018 ◽  
Vol 10 (3) ◽  
pp. 329 ◽  
Author(s):  
Pavlos Stephanou ◽  
Martin Kröger
Author(s):  
Pavlos S. Stephanou ◽  
Martin Kröger

We have recently solved the tumbling-snake model for concentrated polymer solutions and entangled melts in the presence of both steady-state and transient shear and uniaxial elongational flows, supplemented by a variable link tension coefficient. Here, we provide the transient and stationary solutions of the tumbling-snake model under biaxial elongation both analytically, for small and large elongation rates, and via Brownian dynamics simulations, for the case of planar elongational flow over a wide range of rates, times, and the model parameters. We show that both the steady-state and transient first planar viscosity predictions are similar to their uniaxial counterparts, in accord with recent experimental data. The second planar viscosity seems to behave in all aspects similarly to the shear viscosity, if shear rate is replaced by elongation rate.


Soft Matter ◽  
2021 ◽  
Author(s):  
Aditya Natu ◽  
Uddipta Ghosh

Flow of polymeric liquids in narrow confinements of rectangular cross section, in the presence of electrical double layers is analyzed here. Our analysis is motivated by the fact that many...


2015 ◽  
Vol 81 (823) ◽  
pp. 14-00612-14-00612 ◽  
Author(s):  
Mitsuhiro OHTA ◽  
Yasufumi HIEDA ◽  
Norihiko TOKUI ◽  
Shuichi IWATA

NeuroImage ◽  
2006 ◽  
Vol 32 (4) ◽  
pp. 1608-1620 ◽  
Author(s):  
Hongmin Cai ◽  
Xiaoyin Xu ◽  
Ju Lu ◽  
Jeff W. Lichtman ◽  
S.P. Yung ◽  
...  

2000 ◽  
Vol 84 (21) ◽  
pp. 4858-4861 ◽  
Author(s):  
Miguel Aubouy ◽  
Manoel Manghi ◽  
Elie Raphaël

Sign in / Sign up

Export Citation Format

Share Document