The occurrence of fouling layers in the flow of a yield stress fluid along a wavy-walled channel

Journal of Non-Newtonian Fluid Mechanics

Volumn 198, Issue , 2013, Pages 109-124

  Roustaei, A ^a   Frigaard, I A ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Bingham fluid; Fouling; Wavy wall

Indexed keywords

BINGHAM FLUID; CHANNEL ASPECT RATIOS; NEWTONIAN FLUID FLOW; SUFFICIENT CONDITIONS; WALL PERTURBATIONS; WAVY WALL; WAVY-WALLED CHANNELS; YIELD STRESS FLUIDS;

ASPECT RATIO; FOULING; NEWTONIAN LIQUIDS;

FLOW OF FLUIDS;

EID: 84879525881     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2013.03.005     Document Type: Article

References (42)

1. Hasegawa E., Izuchi H. On steady flow through a channel consisting of an uneven wall and a plane wall. Part 1. Case of no relative motion in two walls. Bull. Jpn. Soc. Mech. Eng. 1983, 26:514-520.
2. Nishimura T., Arakawa S., Murakami S., Kawamura Y. Oscillatory viscous flow in symmetric wavy-walled channels. Chem. Eng. Sci. 1989, 44:2137-2148.
3. Oviedo-Tolentino F., Romero-Méndez R., Hernández-Guerrero A., Girón-Palomares B. Experimental study of fluid flow in the entrance of a sinusoidal channel. Int. J. Heat Fluid Flow 2008, 29:1233-1239.
4. Burns J.C., Parkes T. Peristaltic motion. J. Fluid Mech. 1967, 29:731-743.
5. Pozrikidis C. A study of peristaltic flow. J. Fluid Mech. 1987, 180:515-527.
6. Zimmerman R.W., Kumar S., Bodvarsson G.S. Lubrication theory analysis of the permeability of rough-walled fractures. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 1991, 28:335-341.
7. Baxter L.L., DeSollar R.W. A mechanistic description of ash deposition during pulverized coal combustion: predictions compared with observations. Fuel 1993, 72:1411-1418.
8. Huang L.Y., Norman J.S., Pourkashanian M., Williams A. Prediction of ash deposition on superheater tubes from pulverized coal combustion. Fuel 1996, 75:271-279.
9. Chambers L.D., Stokes K.R., Walsh F.C., Wood R.J.K. Modern approaches to marine antifouling coatings. Surf. Coat. Tech. 2006, 201:3642-3652.
10. Chew Y.M.J., Paterson W.R., Wilson D.I. Fluid dynamic gauging: a new tool to study deposition on porous surfaces. J. Membr. Sci. 2007, 296:29-41.
11. Nigo R.Y., Chew Y.M.J., Houghton N.E., Paterson W.R., Wilson D.I. Experimental studies of freezing fouling of model food fat solutions using a novel spinning disc apparatus. Energy Fuels 2009, 23:6131-6145.
12. da Silva J.J., Neff F.H., Lima A.M.N., da Rocha Neto J.S. Hammer impact test applied for fouling detection in pipelines. Sba Contr. Autom. 2011, 22. http://dx.doi.org/10.1590/S0103-17592011000600007.
13. Cole P.A., Asteriadou K., Robbins P.T., Owen E.G., Montague G.A., Fryer P.J. Comparison of cleaning of toothpaste from surfaces and pilot scale pipework. Food Bioprod. Process. 2010, 88:392-400.
14. Christian G.K., Fryer P.J. The effect of pulsing cleaning chemicals on the cleaning of whey protein deposits. Trans. IChemE C 2006, 84:320-328.
15. Almehaideb R.A. Asphaltene precipitation and deposition in the near wellbore region: a modeling approach. J. Petr. Sci. Eng. 2004, 42:157-170.
16. Eskin D., Ratulowski J., Akbarzadeh K., Pan S. Modelling asphaltene deposition in turbulent pipeline flows. Can. J. Chem. Eng. 2011, 89:421-441.
17. Van Houdt R., Michiels C.W. Biofilm formation and the food industry, a focus on the bacterial outer surface. J. Appl. Microbiol. 2010, 10.1111/j.1365-2672.2010.04756.x.
18. Bourgoyne A.T. Applied Drilling Engineering 1986, Society of Petroleum Engineers.
19. Nelson E.B., Guillot D. Well Cementing 2006, Schlumberger. second ed.
20. Frigaard I., Ryan D. Flow of a visco-plastic fluid in a channel of slowly varying width. J. Non-Newt. Fluid Mech. 2004, 123:67-83.
21. Putz A., Frigaard I., Martinez D.M. On the lubrication paradox and the use of regularisation methods for lubrication flows. J. Non-Newt. Fluid Mech. 2009, 163:62-77.
22. Mosolov P.P., Miasnikov V.P. Variational methods in the theory of the fluidity of a viscous-plastic medium. J. Appl. Math. Mech. 1965, 29:545-577.
23. Saramito P., Roquet N. An adaptive finite element method for viscoplastic fluid flows in pipes. Comput. Methods Appl. Mech. Eng. 2001, 190:5391-5412.
24. Moyers-Gonzalez M.A., Frigaard I.A. Numerical solution of duct flows of multiple visco-plastic fluids. J. Non-Newt. Fluid Mech. 2004, 122:227-241.
25. Huilgol R.R. A systematic procedure to determine the minimum pressure gradient required for the flow of viscoplastic fluids in pipes of symmetric cross-section. J. Non-Newt. Fluid Mech. 2006, 136:140-146.
26. Souza Mendes P.R., Naccache M.F., Varges P.R., Marchesini F.H. Flow of viscoplastic liquids through axisymmetric expansions-contractions. J. Non-Newt. Fluid Mech. 2007, 142:207-217.
27. Naccache M.F., Barbosa R.S. Creeping flow of viscoplastic materials through a planar expansion followed by a contraction. Mech. Res. Commun. 2007, 34:423-431.
28. Nassar B., Souza Mendes P.R., Naccache M.F. Flow of elasto-viscoplastic liquids through an axisymmetric expansion-contraction. J. Non-Newt. Fluid Mech. 2011, 166:386-394.
29. Mitsoulis E., Huilgol R.R. Entry flows of Bingham plastics in expansions. J. Non-Newt. Fluid Mech. 2004, 122:45-54.
30. Vajravelu K., Sreenadh S., Ramesh Babu V. Peristaltic pumping of a Herschel-Bulkley fluid in a channel. Appl. Math. Comput. 2005, 169:726-735.
31. Prager W. On Slow Visco-Plastic Flow 1954, Academic Press, pp. 208-216.
32. Fortin M., Glowinski R. Augmented Lagrangian Methods 1983, North-Holland.
33. Glowinski R. Numerical Methods For Nonlinear Variational Problems 1983, Springer-Verlag.
34. Glowinski R., le Tallec P. Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics 1989, SIAM.
35. Duvaut G., Lions J.-L. Inequalities in Mechanics and Physics 1976, Springer-Verlag.
36. P. Saramito. Efficient C++ Finite Element Computing with Rheolef, CNRS-CCSD ed., 2012. http://wwwljk.imag.fr/membres/Pierre.Saramito/rheolef/rheolef.pdf.
37. Roquet N., Saramito P. An adaptive finite element method for Bingham fluid flows around a cylinder. Comput. Methods Appl. Mech. Eng. 2003, 192:3317-3341.
38. Roquet N., Saramito P. An adaptive finite element method for viscoplastic flows in a square pipe with stick-slip at the wall. J. Non-Newt. Fluid Mech. 2008, 155:101-115.
39. Borouchaki H., George P.-L., Hecht F., Laug P., Saltel E. Delaunay mesh generation governed by metric specifications. I. Algorithms. Finite Elem. Anal. Des. 1997, 25:61-83.
40. Borouchaki H., Hecht F., Frey P. Mesh gradation control. Int. J. Num. Methods Eng. 1998, 43:1143-1165.
41. Pozrikidis C. Creeping flow in two-dimensional channels. J. Fluid Mech. 1987, 180:495-514.
42. Moffatt H.K. Viscous and resistive eddies near a sharp corner. J. Fluid Mech. 1964, 18:1-18.