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Badania analityczne rozkładu ciśnienia w przepływie polimeru przy użyciu modelu płynu Binghama w kanałach stożkowych

100%

Michalski D. , Walicki E. , Walicka A. , Jurczak P.

2006

tom Nr 6s

152-154

Flow of molten polymer in conical channels is considered in the paper. To describe the problem a model of viscoplastic fluid is used but the final results are illustrated by Bingham fluid flow. The dimensionless formulae for pressure distributions in conical annular channels with inertia effects are presented.

MHD flow and heat transfer of a Bingham fluid in an eccentric annulus with the Hall effect

88%

Sayed-Ahmed M. E. , Attia H. A.

2007

tom Vol. 14, No. 1

25-42

The steady laminar flow and heat transfer of an incompressible, electrically conducting, non-Newtonian Bingham fluid in an eccentric annulus are studied in the presence of an external uniform magnetic field. The inner cylinder is subject to a constant heat flux while the outer cylinder is adiabatic and, the viscous and Joule dissipations are taken into consideration. The governing momentum and energy equations are solved numerically using the finite difference approximations. The velocity, the temperature, the volumetric flow rate and the average Nusselt number are computed for various values of the physical parameters.

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

75%

Michalski D. , Walicki E. , Walicka A.

2006

tom Vol. 11, no 2

359-369

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.

Variational Analysis of a Frictional Contact Problem for the Bingham Fluid

63%

Awbi B. , Selmani L. , Sofonea M.

1999

tom Vol. 9, no 2

371-385

We consider a mathematical model which describes the flow of a Bingham fluid with friction. We assume a stationary flow and we model the contact with damped response and a local version of Coulomb's law of friction.The problem leads to a quasi-variational inequality for the velocity field. We establish the existence of a weak solution and, under additional assumptions, its uniqueness. The proofs are based on a new result obtained in (Motreanu and Sofonea, 1999). We also establish the continuous dependence of the solution with respect to the contact conditions.