Pullback attractors for a model of weakly concentrated aqueous polymer solution motion with a rheological relation satisfying the objectivity principle

2017 ◽  
Vol 95 (3) ◽  
pp. 247-249 ◽  
Author(s):  
A. V. Zvyagin ◽  
V. G. Zvyagin
2003 ◽  
Vol 29 (1) ◽  
pp. 144-146 ◽  
Author(s):  
Hironobu Imakoma ◽  
Ryo Omori ◽  
Katsuyuki Kubota ◽  
Masamichi Yoshida

2002 ◽  
Vol 28 (4) ◽  
pp. 488-489 ◽  
Author(s):  
Hironobu Imakoma ◽  
Tatsuhiro Nakazawa ◽  
Katsuyuki Kubota ◽  
Masamichi Yoshida

2003 ◽  
Vol 29 (5) ◽  
pp. 695-697 ◽  
Author(s):  
Hironobu Imakoma ◽  
Takeshi Mori ◽  
Katsuyuki Kubota ◽  
Masamichi Yoshida

1992 ◽  
Vol 97 (11) ◽  
pp. 8722-8726 ◽  
Author(s):  
Nobuhiro Miura ◽  
Naoki Shinyashiki ◽  
Satoru Mashimo

Author(s):  
V.V. Pukhnachev ◽  
A.G. Petrova ◽  
O.A. Frolovskaya

Mathematical models for the motion of weak solutions of polymers have been studied over the past 50 years. The initial model (Voitkunskii, Amfilokhiev, and Pavlovskii, 1970) contains two key parameters - relaxation viscosity and shear stress relaxation time. In the limiting case, when the last parameter is small, the Pavlovskii model (1971) arises. Its equations are close to second-grade fluid equations (Rivlin and Eriksen, 1955). The paper contains an overview of the works on all three models and new results related to the Pavlovskii model. The solution to the problem of the un-steady layered flow of an aqueous polymer solution in a layer with a free boundary, the boundary condition on which includes the time derivative of the desired function is constructed. We derive the equations that describe the motion of a polymer solution in a laminar boundary layer near a rectilinear plate. The parameter included in equations characterizes the ratio of the thickness of the Prandtl boundary layer to the thickness of the relaxation boundary layer. We study the influence of this parameter on the motion picture by the example of a stationary flow near a critical point.


2019 ◽  
Vol 2019.56 (0) ◽  
pp. E014
Author(s):  
Yu NORIMATSU ◽  
Raden R. SISWORO ◽  
Masato HASEGAWA

2013 ◽  
Vol 5 (12) ◽  
pp. 5542-5549 ◽  
Author(s):  
Ramankur Sharma ◽  
Timothy E. Corcoran ◽  
Stephen Garoff ◽  
Todd M. Przybycien ◽  
Ellen R. Swanson ◽  
...  

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