Simulation of polymer flow

The infinite viscosity at zero strain rates leads to an erroneous result when there is a region of zero shear rate, such as at the center of a tube. This results in a predicted velocity distribution that is flatter at the center than the experimental profile, as will be explained in more detail in Chapter 5. In computer simulation of polymer flows, this problem is often overcome by using a truncated model such as... 

Computational Fluid Dynamics Simulation of Polymer Flow for Die Design... 

THE SIMULATION OF POLYMER FLOW IN HETEROGENEOUS POROUS MEDIA... 

Shen, S. F., Simulation of polymer flows in the injection molding process . International Journal for Numerical Methods in Fluids, 4, 171-183, 1984. 

Sorbie, K. S. and Clifford, P. J. (1988) The simulation of polymer flow in heterogeneous porous media. In Water Soluble Polymers for Petroleum Recovery, ed. by Stahl, G. A. and Schulz, D. N. Plenum Publishing Corp., New York. 

Klein, 1., The Melting Factor in Extruder Performance, SPEL, 28, 47 (1972) Altinkaynak, A., Three-Dimensional Finite Element Simulation of Polymer Melting and Flow in a Single-Screw Extruder Optimization of Screw Channel Geometry, Ph. D. Thesis, Michigan Technological University, Houghton, MI (2010)... 

Fig. 10.69 Locations of the thermocouple and pressure transducers used by Ishikawa et al. (113). Numerical velocity, pressure, and temperature field at cross-sections A-A, B-B, and C-C. [Reprinted by permission from T. Ishikawa, S. I. Kihara, and K. Funatsu, 3-D Numerical Simulations of Nonisothermal Flow in Co-Rotating Twin Screw Extruders, Polym. Eng. Set, 40, 357 (2000).]...

T. Ishikawa, S. I. Kihara, and K. Funatsu, 3-D Numerical Simulations of Nonisothermal Flow in Co-rotating Twin Screw Extruders, Polym. Eng. Sci., 40, 357-364 (2000). 

Fig. 13.17 Comparison of advancing front shapes for Newtonian and Power Law fluids (planar geometry). Power Law parameters m — 10,000 Pa s , n — 0.5, yw = 500s-1. [Reprinted by permission from H. Mavridis, A. N. Hrymak, and J. Vlachopoulos, A Finite Element Simulation of Fountain Flow, Polym. Eng. Sci., 26, 449 (1986).]...

Barker, G. C., and Grimson, M. J. (1991). Computer simulations of the flow of deformable particles. In Food Polymers, Cels and Colloids, Dickinson, E. (Ed.), pp. 262-271. Royal Chem. Soc., London. 

Another approach to study the penetration depth is to use computer simulations of simple shear flow. Computer simulations can check the validity of certain assumptions implicit in the theories, such as the assumption that the shear flow does not distort the density profile. However to do this solvent molecules must be included explicitly in the simulation. Almost all previous simulations of polymer brushes have modeled the solvent as a continuum to save CPU time. 

Fig. 13 Computational model for U-Profile die design (A) preland, die land, and free surface as computational domain (B) finite element mesh (symmetry exploited to reduce computational requirements) (C) boundary conditions for simulation of polymer fiow through die and extrudate free surface and (D) relevant profiles (1) preland inlet (2) die land (uniform along flow length) (3) final free surface (target extrudate profile) and (4) symmetry plane.

Beris, A.N. Dimitropoulos, C.D. Sureshkumar, R. Handler, R.D. Direct numerical simulations of polymer-induced drag reduction in viscoelastic turbulent channel flows. Proceedings of the International Congress on Rheology, Cambridge, U.K., Aug 20-25 British Society of Rheology Glasgow, 2000 Vol. 2, 190-192. 

Han, W.H. Rey, A.D. Dynamic simulations of shear-flow-induced chirality and twisted-texture transitions of a liquid-crystalline polymer. Phys. Rev. E. 1994, 49, 597-613. 

Figure 10.33. Simulation of the flow of recycled PC in extrusion, using the software Compuplast a) and MoldFlow b) to create a rail and a handle for the sign. (Fora color version of this figure, see www.iste.co.uk/hamide/polymers.zip)...

K and n obtained from steady shear experiments do not describe flow in porous rocks. This finding has significant impact on simulation of polymer injection rates in potential polymer floods and permeability modification projects. Injection rates predicted using Blake-Kozeny models will be less than can be attained in practice. Therefore, it is necessary to determine... 

Mavridis H, Hrymak AN, Vlachopoulos J (1986) Finite element simulation of fountain flow in injection molding. Polym Eng Sci 26 449-454... 

PiUai, K. M. and Advani, S. G., Numerical simulation of unsaturated flow in woven fiber preforms during resin transfer molding process . Polymer Composites, 19(1), 71-80,1998. 

Xu P and Jing X (2010) Computer simulation of resin flow through the bleeder in the autoclave curing process, Polym Polym Comos 18 213-220. 

If the resulting rheological behavior for this olefin copolymer solution are correct, then a computer simulation of the flow of a fluid with these rheological properties should result in pressure drop versus flow rate behavior which is in agreement with the observed measurements after they have been corrected for end effects. Figure 5 shows such a comparison for this polymer solution where the lines were obtained from the theoretical... 

In this chapter, we have discussed the rheological behaviour of non-Newtonian polymer solutions in flow through porous media. The practical objective of this is to establish the apparent viscosity versus flow rate vs. Q or vs. 7pjn) expressions that can be used in polymer simulations in reservoirs. How this information is used in the numerical simulation of polymer flooding is discussed in more detail in Chapter 8. Much work has been reported on the in-situ rheology of inelastic polymers such as xanthan and flexible coil synthetic polymers such as HPAM, PEO etc. 

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