Fountain flow revisited: The effect of various fluid mechanics parameters

AIChE Journal

Volumn 56, Issue 5, 2010, Pages 1147-1162

  Mitsoulis, Evan ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Compressibility; Exit correction; Fountain flow; Gravity; Inertia; Injection molding; Newtonian fluid; Pressure dependence of viscosity; Surface tension; Wall slip

Indexed keywords

EXIT CORRECTION; FOUNTAIN FLOW; GRAVITY; INERTIA; NEWTONIAN FLUID; NEWTONIAN FLUIDS; WALL SLIP;

COMPRESSIBILITY; COMPUTER SIMULATION; CONTACTS (FLUID MECHANICS); FINITE ELEMENT METHOD; FLUID MECHANICS; FLUIDS; FOUNTAINS; INJECTION MOLDING; MOLDS; SURFACE CHEMISTRY; SURFACE PROPERTIES; SURFACE TENSION; VISCOSITY; WETTING;

PRESSURE EFFECTS;

EID: 77953292157     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.12038     Document Type: Article

References (29)

1. Rose W. Fluid-Fluid Interfaces in Steady Motion. Nature 1961; 191:242-243.
2. Tadmor Z, Gogos CG. Principles of Polymer Processing. SPE Monograph Series, Wiley, New York; 1979.
3. Mavridis H, Hrymak AN, Vlachopoulos J. Finite element simulation of fountain flow in injection molding. Polym Eng Sci. 1986;26:449-454.
4. Coyle DJ, Blake JW, Macosko CW. The kinematics of fountain flow in mold-filling. AIChE J. 1987;33:1168-1177.
5. Behrens RA, Crochet MJ, Denson CD, Metzner AB. Transient freesurface flows: motion of a fluid advancing in a tube. AIChE J. 1987;33:1178-1186.
6. Mavridis H, Hrymak AN, Vlachopoulos J. Transient free-surface flows in injection mold filling. AIChE J. 1988;34:403-410.
7. Beris AN. Fluid elements deformation behind an advancing flow Front. J. Rheol. 1987;31:121-124.
8. Schmidt LR. A special mold and tracer technique for studying shear and extensional flows in a mold cavity during injection molding. Polym Eng Sci. 1974;14:797-800.
9. Bogaerds ACB, Hulsen MA, Peters GWM, Baaijens FPT. Stability analysis of injection molding flows. J Rheol. 2004;48:765-785.
10. Verbeeten WMH, Peters GWM, Baaijens FPT. Differential constitutive equations for polymer melts: The extended pom-pom model. J Rheol. 2001;45:823-844.
11. Nickell RE, Tanner RI, Caswell B. The solution of viscous incompressible jet and free-surface flows using finite-element methods. J Fluid Mech. 1974;65:189-206.
12. Kistler SF, Scriven LE. Coating flow theory by finite element and asymptotic analysis of the Navier-Stokes system. Int J Num Meth Fluids. 1984;4:207-229.
13. Hirt CW, Amsden AA, Cook JL. An arbitrary Lagrangian-Eulerian computing method for all flow speeds. J Comp Phys. 1974;14:227-253.
14. Dimakopoulos Y, Tsamopoulos J. A quasi-elliptic transformation for moving boundary problems with large anisotropic deformations. J Comp Phys. 2003;192:494-522.
15. Hirt CW, Nichols BD. Volume of fluid (VOF) method for the dynamics of free boundaries. J Comput Phys. 1981;39:201-225.
16. Osher SJ, Sethian JA. Fronts propagating with curvature-dependent speed - algorithms based on Hamilton-Jacobi formulations. J Comput Phys. 1988;79:12-49.
17. Bird RB, Dai GC, Yarusso BJ. The rheology and flow of viscoplastic materials. Rev Chem Eng. 1982;1:1-70.
18. Mitsoulis E. Numerical simulation of fountain flow of pseudoplastic and viscoplastic fluids. Submitted to J Non-Newtonian Fluid Mech. 2009.
19. Taliadorou E, Georgiou GC, Mitsoulis E. Numerical simulation of the extrusion of strongly compressible Newtonian liquids. Rheol. Acta. 2008;47:49-62.
20. Huilgol RR, You Z. On the importance of the pressure dependence of viscosity in steady nonisothermal shearing flows of compressible and incompressible fluids and in the isothermal fountain flow. J Non-Newtonian Fluid Mech. 2006;136:106-117.
21. Cardinaels R, Van Puyvelde P, Moldenaers P. Evaluation and comparison of routes to obtain pressure coefficients from high-pressure capillary rheometry data. Rheol Acta. 2007;46:495-505.
22. Mitsoulis E. Annular extrudate swell of Newtonian fluids: effects of compressibility and slip at the wall. J Fluids Eng. 2007;129:1384-1393.
23. Georgiou GC, Boudouvis AG. Converged solutions for the Newtonian extrudate-swell problem. Int J Numer Meth Fluids. 1999; 29:363-371.
24. Georgiou G. Annular liquid jets at high Reynolds numbers. Int J Numer Meth Fluids. 2003;42:117-130.
25. Mitsoulis E, Vlachopoulos J. The finite element method for fluid flow and heat transfer analysis. Adv Polym Technol. 1984;4:107-121.
26. Lee S-L, Liao W-C. Numerical simulation of a fountain flow on nonstaggered cartesian grid system. Int J Heat Mass Transfer. 2008; 51:2433-2443.
27. Georgiou GC, Crochet MJ. Compressible viscous flow in slits, with slip at the wall. J Rheol. 1994;38:639-654.
28. Mitsoulis E. Annular extrudate swell of Newtonian fluids revisited: Extended range of compressible simulations. J Fluids Eng. 2009; 131:071203-1-10.
29. Mavridis H. Finite Element Studies in Injection Mold Filling. Dept. Chem. Eng., McMaster University, Hamilton, ON, Canada; 1988. PhD Thesis.