Fully developed flow of a viscoelastic film down a vertical cylindrical or planar wall

Rheologica Acta

Volumn 48, Issue 9, 2009, Pages 1031-1048

  Pavlidis, M ^a   Dimakopoulos, Y ^a,b   Tsamopoulos, J ^a  

^a UNIVERSITY OF PATRAS   (Greece)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Gravity driven flow; PTT fluid model; Viscoelastic film flow

Indexed keywords

ANALYTICAL SOLUTIONS; CRITICAL VALUE; CYLINDRICAL SURFACE; DIMENSIONLESS NUMBER; FILM FLOWS; FILM VELOCITY; FLUID MODELS; FLUID PROPERTY; GOVERNING EQUATIONS; GRAVITY DRIVEN FLOW; INNER SURFACES; NUMERICAL SOLUTION; PARAMETER SET; PLANAR GEOMETRIES; PLANAR WALLS; POSTERIORI; SHEAR THINNING; SOLVENT VISCOSITY; STOKES NUMBER; STRESS COMPONENT; TRIAL-AND-ERROR PROCEDURES; UPPER LIMITS; VELOCITY PROFILES; VERTICAL CYLINDERS; VISCOELASTIC FILMS;

CYLINDERS (SHAPES); PLASMA FLOW; PLASMAS;

GEOMETRY;

EID: 70350566625     PISSN: 00354511     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00397-009-0386-4     Document Type: Article

References (26)

1. Alves MA, Pinho FT, Oliveira PJ (2001) Study of steady pipe and channel flows of a single-mode Phan-Thien-Tanner fluid. J Non-Newton Fluid Mech 101:55-76
2. Baaijens FPT (1993) Numerical analysis of start-up planar and axisymmetric contraction flows using multi-mode differential constitutive models. J Non-Newton Fluid Mech 48:147-180
3. Baaijens FPT, Selen SHA, Baaijens HPW, Peters GWM, Meijer HEH (1997) Viscoelastic flow past a confined cylinder of a low-density polyethylene melt. J Non-Newton Fluid Mech 68:173-203
4. Baloch A, Townsend R, Webster MF (1996) On vortex development in viscoelastic expansion and contraction flows. J Non-Newton Fluid Mech 65:133-149
5. Bird RB, Stewart WE, Lightfoot EN (2002) Transport phenomena, 2nd edn. Wiley, New York
6. Bontozoglou V, Serifi K (2008) Falling film flow along steep two-dimensional topography: The effect of inertia. J Multiphase Flow 34(8):734-747
7. Borkar A, Tsamopoulos J, Gupta S, Gupta R (1994) Spin coating of viscoelastic and nonvolatile fluids over a planar disk. Phys Fluids 6(11):3539-3553
8. Chang HC, Demekhin E, Saprikin S (2002) Noise-driven wave transitions on a vertically falling film. J Fluid Mech 462:255-283
9. Cruz DOA, Pinho FT, Oliveira PJ (2005) Analytical solutions for fully developed laminar flow of some viscoelastic liquids with a Newtonian solvent contribution. J Non-Newton Fluid Mech 132:28-35
10. Dimakopoulos Y, Tsamopoulos J (2004) On the gas-penetration in straight tubes completely filled with a viscoelastic fluid. J Non-Newton Fluid Mech 117/2-3:117-139
11. Georgiou GC, Vlassopoulos DV (1998) On the stability of the simple shear flow of a Johnson-Segalman fluid. J Non-Newton Fluid Mech 75:77-97
12. Karapetsas G, Tsamopoulos J (2008) Steady extrusion of viscoelastic materials from an annular die. J Non-Newton Fluid Mech 154:136-152
13. Kistler SF, Schweitzer PM (eds) (1997) Liquid film coating. Chapman and Hall, London
14. Kolkka RW, Malkus DS, Hansen MG, Ierley GR, Worthing RA (1988) Spurt phenomena of the Johnson-Segalman fluid and related models. J Non-Newton Fluid Mech 29:303-335
15. Oliveira PJ, Pinho FT (1999) Analytical solutions for fully developed channel and pipe flow of Phan-Thien Tanner fluids. J Fluid Mech 387:271-280
16. Phan-Thien N (1978) A nonlinear network viscoelastic model. J Rheol 22:259-283
17. Phan-Thien N, Tanner RI (1977) A new constitutive equation derived from network theory. J Non-Newton Fluid Mech 2:353-365
18. Quere D (1999) Fluid coating on a fiber. Annu Rev Fluid Mech 31:347-384
19. Quinzani LM, Armstrong RC, Brown RA (1995) Use of coupled birefringence and LDV studies of flow through a planar contraction to test constitutive equations for concentrated polymer solutions. J Rheol 34(5):1201-1228
20. Ruschak KJ (1985) Coating flows. Annu Rev Fluid Mech 17:65-89
21. Ruyer-Quil C, Treveleyan P, Giogiutti-Dauphiné F, Duprat C, Kalliadasis S (2008) Modeling film flows down a fibre. J Fluid Mech 603:431-462
22. Saprykin S, Koopmans RJ, Kalliadasis S (2007) Free-surface thin-film flows over topography: Influence of inertia and viscoelasticity. J Fluid Mech 578:271-293
23. Saramito P, Piau JM (1994) Flow characteristics of viscoelastic fluids in an abrupt contraction by using numerical modeling. J Non-Newton Fluid Mech 52:263-288
24. Sunwoo KB, Park SJ, Lee SJ, Ahn KH, Lee SJ (2001) Numerical simulation of three-dimensional viscoelastic flow using the open boundary condition method in coextrusion process. J Non-Newton Fluid Mech 99:125-144
25. Tsamopoulos J, Chen MF, Borkar A (1996) On the spin-coating of viscoplastic Fluids. Rheol Acta 35(6):597-615
26. Vlachogiannis M, Bontozoglou V (2001) Observations of solitary wave dynamics of film flows. J Fluid Mech 435:191-215