Geodesic
Double Layer of Polymer Melts in Channels of Dies
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 3, pp. 349-354.

Voir la notice de l'article provenant de la source Math-Net.Ru

Numerical simulation of double-layer nonlinear viscous flow in channels of dies was performed. The fluid motion is described by equations conservation of mass and momentum, supplemented by the rheological equation of state of nonlinear viscous fluid on the Carreau model. The technique of numerical solve the problem based on the finite element method is described. Results the field of velocities, pressure, stresses, position the interface boundary of two-layer flow depending on rheological properties of liquid and flow regimes are presented. 
@article{ISU_2014_14_3_a15,
     author = {B. A. Snigerev and F. Kh. Tazyukov},
     title = {Double {Layer} of {Polymer} {Melts} in {Channels} of {Dies}},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {349--354},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2014_14_3_a15/}
}
TY  - JOUR
AU  - B. A. Snigerev
AU  - F. Kh. Tazyukov
TI  - Double Layer of Polymer Melts in Channels of Dies
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2014
SP  - 349
EP  - 354
VL  - 14
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ISU_2014_14_3_a15/
LA  - ru
ID  - ISU_2014_14_3_a15
ER  - 
%0 Journal Article
%A B. A. Snigerev
%A F. Kh. Tazyukov
%T Double Layer of Polymer Melts in Channels of Dies
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2014
%P 349-354
%V 14
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ISU_2014_14_3_a15/
%G ru
%F ISU_2014_14_3_a15
B. A. Snigerev; F. Kh. Tazyukov. Double Layer of Polymer Melts in Channels of Dies. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 3, pp. 349-354. http://geodesic.mathdoc.fr/item/ISU_2014_14_3_a15/

[1] Yih C. S., “Instability due to viscosity stratification”, J. Fluid Mech., 27 (1967), 337–352 | DOI | Zbl

[2] Jankov V. I., Glot I. O., Trufanova N. M., Shakirov N. V., For polymers in the holes of nozzles. Theory, computation practice, Reguljarnaja i haoticheskaja dinamika, M.–Izhevsk, 2010, 368 pp. (in Russian)

[3] Han Ch. D., Rheology in the plastics processing industry, Chemistry, M., 1979, 366 pp. (in Russian)

[4] Volodin V. P., Extrusion profile products from thermoplastic materials, Profession, St. Petersburg, 2005, 480 pp. (in Russian)

[5] Bird R. B., Armstrong R. C., Hasager O., Dynamics of Polymeric liquids, v. 1, Fluid Mechanics, John Wiley ans Sons, N.Y., 1987, 443 pp.

[6] Shikhmurzaev Y. D., Capillary Flows with Forming Interface, Chapman and Hall, N.Y., 2008, 443 pp. | MR | Zbl

[7] Connor J., Brebbia C., Finite Element Techniques for Fluid Flow, Newnes-Butterworths, London, 1976

[8] Snigerev B. A., Tazyukov F. Kh., “The feature of non-isothermal viscoelastic flows around sphere at obstruction condition”, Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 11:1 (2011), 99–104 (in Russian) | MR | Zbl