The Dean instability in power-law and Bingham fluids in a curved rectangular duct

Journal of Non-Newtonian Fluid Mechanics

Volumn 165, Issue 3-4, 2010, Pages 163-173

  Fellouah, H ^a   Castelain, C ^b   Ould El Moctar, A ^b   Peerhossaini, H ^b  

^a QUEEN S UNIVERSITY   (Canada)

^b Centre National de la Recherche Scientifique   (France)

Author keywords

Curved channel; Dean instability; Power law fluid; Secondary flow; Yield stress fluid

Indexed keywords

AXIAL POSITIONS; AXIAL VELOCITY; BINGHAM FLUID; BINGHAM NUMBER; CHANNEL CROSS SECTION; CHANNEL WALL; COUNTER-ROTATING VORTICES; CRITICAL CONDITION; CRITICAL VALUE; CURVED CHANNELS; CURVED RECTANGULAR DUCTS; DEAN INSTABILITY; DEAN NUMBER; DEAN VORTEX; FLOW CONDITION; FLUID BEHAVIOR; NEAR-WALL; POWER LAW FLUID; POWER LAW INDEX; POWER-LAW; RECTANGULAR CROSS-SECTIONS; SHEAR RATES; STRESS FLUIDS; VISUALIZATION TECHNIQUE;

FLOW VISUALIZATION; LAMINAR FLOW; SECONDARY FLOW; SHEAR DEFORMATION; STABILITY; VISCOSITY; YIELD STRESS;

FLUIDS;

EID: 74249106879     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2009.10.009     Document Type: Article

References (21)

1. Finlay W.H., and Nandakumar K. Onset of two-dimensional cellular flow in finite curved channels of large aspect ratio. Phys. Fluids A 2 7 (1990) 1163-1174
2. Dean W.R. Note on the motion of fluid in a curved pipe. Philos. Mag. 4 (1927) 208-223
3. Cho Y.I., and Hartnett J.P. Non-Newtonian fluids in circular pipe flow. Adv. Heat Transfer 15 (1982) 59-141
4. Ranade V.R., and Ulbrecht J.J. Velocity profiles of Newtonian and non-Newtonian toroidal flows measured by a LDA technique. Chem. Eng. Commun. 20 (1982) 253-272
5. Shanthini W., and Nandakumar K. Bifurcation phenomena of generalized Newtonian fluids in curved rectangular ducts. J. Non-Newtonian Fluid Mech. 22 (1986) 35-60
6. Bara B., Nandakumar K., and Masliyah J.H. An experimental and numerical study of the Dean problem: flow development towards two-dimensional multiple solutions. J. Fluid Mech. 244 (1992) 339-376
7. Ghia K.N., and Sokhey J.S. Laminar incompressible viscous flow in curved ducts of rectangular cross-section. Trans. ASME I: J. Fluids Eng. 99 (1977) 640-648
8. Hille P., Vehrenkamp R., and Schulz-Dubois E.O. The development and structure of primary and secondary flow in a curved square duct. J. Fluid Mech. 151 (1985) 219-241
9. Fellouah H., Castelain C., Ould El Moctar A., and Peerhossaini H. A criterion for detection of the onset of Dean instability in Newtonian flows. Eur. J. Mech. B: Fluids 25 (2006) 505-531
10. Metzner A.B., and Reed J.C. Flow of non-Newtonian fluids: correlation of the laminar, transition, and turbulent-flow regions. AIChE J. 1 (1955) 434-440
11. Delplace F., and Leuliet J.C. Generalized Reynolds number for the flow of power law fluids in cylindrical ducts of arbitrary cross-section. Chem. Eng. J. Biochem. Eng. J. 56 2 (1995) 33-37
12. Devienne R., Leuliet J.C., Sourlier P., Maingonnat J.F., Lalande M., and Lebouche M. Incidence du seuil d'écoulement sur les performances thermodynamiques des échangeurs. Proceedings 2nd Colloque TIFAN. La Baule (1989) 79-95
13. Poole R.J., and Ridley B.S. Development-length requirements for fully developed laminar pipe flow of inelastic non-Newtonian liquids. J. Fluids Eng. 129 (2007) 1281-1287
14. Huang Z., Olsen J.A., Kerekes R.J., and Green S.I. Numerical simulation of the flow around rows of cylinders. Comput. Fluids 35 (2006) 485-491
15. Hu L.Y., Zhou L.X., Zhang J., and Shi M.X. Studies on strongly swirling flows in the full space of a volute cyclone separator. AIChE J. 51 3 (2005) 740-749
16. Papanastasiou T.C. Flow of materials with yield. J. Rheol. 31 5 (1987) 385-404
17. Bercovier M., and Engelman M. A finite element method for incompressible non-Newtonian flows. J. Comput. Phys. 36 (1980) 313-326
18. O'Donovan E.J., and Tanner R.I. Numerical study of the Bingham squeeze film problem. J. Non-Newtonian Fluid Mech. 15 (1984) 75-83
19. Burgos G.R., and Alexandrou A.N. Flow development of Herschel-Bulkley fluids in a sudden three-dimensional square expansion. J. Rheol. 43 3 (1999) 485-498
20. Hammad K.J., Vradis G.C., and Ötügen M.V. Laminar flow of a Herschel-Bulkley fluid over an axisymmetric sudden expansion. Trans. ASME: J. Fluids Eng. 123 (2001) 588-594
21. Alexandrou A.N., McGilvreay T.M., and Burgos G. Steady Herschel-Bulkley fluid flow in three-dimensional expansions. J. Non-Newtonian Fluid Mech. 100 (2001) 77-96