Coating flows of non-Newtonian fluids: Weakly and strongly elastic limits

Journal of Engineering Mathematics

Volumn 60, Issue 1, 2008, Pages 17-41

  Ashmore, Jacqueline ^a,b   Shen, A Q ^a,c   Kavehpour, H P ^d,e   Stone, H A ^a   McKinley, G H ^d  

^a HARVARD UNIVERSITY   (United States)

^b TIAX LLC   (United States)

^c WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

^d Massachusetts Institute of Technology Cambridge   (United States)

^e University of California   (United States)

Author keywords

Asymptotic; Coating; Criminale Ericksen Filbey; Non Newtonian; Thin film

Indexed keywords

COATING TECHNIQUES; COMPUTATIONAL GEOMETRY; ELASTICITY; STRESSES; SUBSTRATES; THIN FILMS;

COATING FLOW; ELASTIC LIMITS; ELASTIC STRESSES; NON-NEWTONIAN FLUIDS;

NON NEWTONIAN FLOW;

COATING TECHNIQUES; COMPUTATIONAL GEOMETRY; ELASTICITY; NON NEWTONIAN FLOW; STRESSES; SUBSTRATES; THIN FILMS;

EID: 38649132940     PISSN: 00220833     EISSN: 15732703     Source Type: Journal    
DOI: 10.1007/s10665-007-9152-8     Document Type: Article

References (36)

1. Ruschak KJ (1985). Coating flows. Ann Rev Fluid Mech 17: 65-89
2. Landau L and Levich B (1942). Dragging of liquid by a plate. Acta Physiochim USSR 17: 42-54
3. Derjaguin B (1943). Thickness of liquid layer adhering to walls of vessels on their emptying and the theory of photo- and motion picture film coating. Comptes Rendus (Doklady) de l'Academie des Sciences de l'URSS XXXIX: 13-16
4. Bretherton FP (1961). The motion of long bubbles in tubes. J Fluid Mech 10: 166-188
5. Wilson SDR (1981). The drag-out problem in film coating theory. J Eng Math 16: 209-221
6. Kistler SF and Scriven LE (1983). Coating flows in computational analysis of polymers. In: Pearson, J and Richardson, S (eds) Chap 8 Appl Sci 343, pp. Barking, Essex England
7. Quéré D (1999). Fluid coating on a fiber. Ann Rev Fluid Mech 31: 347-384
8. Gutfinger C and Tallmadge JA (1965). Films of non-Newtonian fluids adhering to flat plates. AIChE J 11: 403-413
9. Tallmadge JA (1966). A withdrawal theory for Ellis model fluids. AIChE J 12: 1011-1014
10. Spiers RP, Subbaraman CV and Wilkinson WL (1974). coating of a Newtonian liquid onto a vertical surface. Chem Eng Sci 29: 389-396
11. Spiers RP, Subbaraman CV and Wilkinson WL (1975). Free coating of non-Newtonian liquids onto a vertical surface. Chem Eng Sci 30: 379-395
12. Middleman S (1978). Free coating of viscous and viscoelastic liquids onto a partially submerged rotating roll. Polymer Eng Sci 18: 734-737
13. Tharmalingham S and Wilkinson WL (1978). The coating of Newtonian liquids onto a roll rotating at low speeds. Polymer Eng Sci 18: 1155-1159
14. Cerro RL and Scriven LE (1980). Rapid free surface film flows. An integral approach. Ind Eng Chem Fundam 19: 40-50
15. Campanella OH, Galazzo JL and Cerro RL (1982). Viscous flow on the outside of a horizontal rotating cylinder-II. Dip coating with a non-Newtonian fluid. Chem Eng Sci 41: 2707-2713
16. Campanella OH and Cerro RL (1982). Viscous flow on the outside of a horizontal rotating cylinder: The roll coating regime with a single fluid. Chem Eng Sci 39: 1443-1449
17. Ro JS and Homsy GM (1995). Viscoelastic free surface flows: Thin film hydrodynamics of Hele-Shaw and dip coating flows. J Non-Newton Fluid Mech 57: 203-225
18. Quéré D and Ryck A (1998). Fluid coating from a polymer solution. Langmuir 14: 1911-1914
19. Kizito JP, Kamotani Y and Ostrach S (1999). Experimental free coating flows at high capillary number. Experiments in Fluids 27: 235-243
20. Bird RB, Armstrong RC, Hassager O (1987) Dynamics of polymeric liquids, vol 1. Wiley Interscience
21. Barnes HA, Hutton JF and Walters K (1989). An introduction to rheology. Elsevier, Amsterdam
22. Huilgol RR (1975). On the concept of the Deborah number. Trans of the Soc of Rheol 19: 297
23. Kulicke W-M, Clasen C (2004) Viscosimetry of polymers and polyelectrolytes. Springer
24. Ashmore J (2003) Free-surface and coating flows. Ph.D. Thesis, Harvard University
25. Moffatt HK (1977). Behaviour of a viscous film on the outer surface of a rotating cylinder. J de Mecanique 16: 651-673
26. Joo YL and Shaqfeh ESG (1992). The effects of inertia on the viscoelastic Dean and Taylor-Couette flow instabilities with application to coating flows. Phys Fluids A 4: 2415-2431
27. Graham MD (2003). Interfacial hoop stress and instability of viscoelastic free surface flows. Phys Fluids 15: 1702-1710
28. Grillet AM, Lee AG and Shaqfeh ESG (1999). Observations of ribbing instabilities in elastic flows with gravity stabilization. J Fluid Mech 399: 49-83
29. Larson RG, Shaqfeh ESG and Muller SJ (1990). A purely elastic instability in Taylor-Couette flow. J Fluid Mech 218: 573-600
30. Muller SJ, Larson RG and Sahqfeh ESG (1989). A purely elastic transition in Taylor-Couette flow. Rheol Acta 28: 499-503
31. Lopez FV, Pauchard L, Rosen M and Rabaud M (2002). Non-Newtonian effects on ribbing stability threshold. J Non-Newton Fluid Mech 103(2-3): 123-139
32. Pasquali M and Scriven LE (2002). Free surface flows of polymer solutions with models based on the conformation tensor. J Non-Newtonian Fluid Mech 108: 363-409
33. Bhatara G, Shaqfeh ESG and Khomami B (2004). Influence of visco-elasticity on the interfacial dynamics of air displacing fluid flows - A computational study. J Non-Newtonian Fluid Mech 122: 313-332
34. Quéré D and Ryck A (1996). Inertial coating of a fiber. J Fluid Mech 311: 219-237
35. Shen AQ, Gleason B, McKinley GH and Stone HA (2002). Fiber coating with surfactant solutions. Phys Fluids 14(11): 4055-4068
36. Kavehpour P, Ovryn B and McKinley GH (2002). Evaporatively-driven Maragoni instabilities of volatile liquid films spreading on thermally-conductive substrates. Colloids Surf A 206: 409-423