The study of pressure drops in the flow of a polymer modeled as a bingham fluid in conical channels

• Autorzy: Michalski D. , Walicki E. , Walicka A.
• Języki publikacji: EN

Abstrakty

EN

Technologies applied in polymers processing are permanently improved due to updating the knowledge on material proprieties, processes and phenomena during the processing. To determine the pressure distribution, one should define the geometrical shape of a channel, in the flow will be held the flow. The aim of calculations carried out is to determine the possibility of mathematical modelling of polymer flows between conical parallel surfaces. In this work, the flow of a polymer in conical channels was considered. To describe a melted polymer the model of a viscoplastic fluid was used but final results were illustrated by a flow of the Bingham fluid. The Bingham fluid chosen to modelling the flow of a polymer may by considered as legitimate, because its use will allow us to illustrate analytical methods of calculations. For the flow configuration and model under consideration the geometrical sizes of the channel and material coefficients of the fluid will be chosen on the basis of experimental data contained in literature. In the article, the on defining dimensionless pressure distribution for the flow in a conical channel as well as in a conical annular channel with the influence of inertia were presented. The results of calculations were introduced in tabular forms as well as in graphic forms.

Słowa kluczowe

EN

conical channels; polymer; viscoplastic fluid; Bingham fluid

PL

polimery; mechanika płynów

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2006
• Tom: Vol. 11, no 2
• Strony: 359--369
• Opis fizyczny: Bibliogr. 10 poz., rys., tab., wykr.

Twórcy

autor

Michalski D.

autor

Walicki E.

autor

Walicka A.

• University of Zielona Góra, Department of Mechanics 65-246 Zielona Góra, ul. Szafrana 2, POLAND,

Bibliografia

• Avenas P., Agassant J.-F. and Sergent J.P. (1982): La Mise en Forme des Matičre Plastiques. - Tec-Doc. Lavoisier, Paris.
• Binding D.M. (1988): An approximate analysis for contraction and converging flows. - J. Non-Newtonian Fluid Mech., vol.27, pp.173-189.
• Cogswell F.N. (1972): Converging flow of polymer melts in extrusion dies. - Polym. Engng Sci., vol.12, No.1, pp.64-73.
• Cogswell F.N. (1978): Converging flow and stretching flow: a compilation. - J. Non-Newtonian Fluid Mech., vol.4, Np.1, pp.23-38.
• Rivlin R.S. and Ericksen J.L. (1955): Stress deformation relations for isotropic materials. - J. Rat. Mech. Anal., vol.4, No.4, pp.323-425.
• Shulman Z. P. (1975): Convective heat transfer of rheologically complex fluids (in Russian). - EnergyMoscow.
• Michalski D. (2004): Mathematical modelling of polymers flows in extrusion heads and the channels of injection moulds (in Polish). - PhD Thesis, University of Zielona Góra, pp.1-247.
• Walicka A. (2002a): Rheodynamics of Non-Newtonian Fluids in Straight and Curved Channels (in Polish). - University Press, Zielona Góra., pp.1-307.
• Walicka A. (2002b): Rheodynamics of Non-Newtonian Fluids in Straight and Curved Channels (in Russian). - University Press, Zielona Góra., pp.1-385.
• Walicki E. and Walicka A. (1999): Flows of generalized second grade fluids in rectilinear chanels. - Applied Mechanics and Engineering, vol.4, No.2, pp.375-324.