Three-dimensional features in low-Reynolds-number confined corner flows

Journal of Fluid Mechanics

Volumn 668, Issue , 2011, Pages 33-57

  Guglielmini, Laura ^a   Rusconi, R ^b   Lecuyer, S ^b   Stone, H A ^a  

^a Princeton University   (United States)

^b HARVARD UNIVERSITY   (United States)

Author keywords

Hele Shaw flows; microfluidics; Stokesian dynamics

Indexed keywords

ASPECT RATIO; MICROFLUIDICS; REYNOLDS NUMBER; SECONDARY FLOW; VELOCITY; VORTICITY;

CHANNEL CROSS SECTION; HELE-SHAW FLOW; LOW REYNOLDS NUMBER; LOW REYNOLDS NUMBER FLOW; MATCHED ASYMPTOTIC EXPANSION; RECTANGULAR CROSS-SECTIONS; STOKESIAN DYNAMICS; THREE-DIMENSIONAL VELOCITY FIELDS;

WALL FLOW;

BIOFILM; CHANNEL FLOW; FLOW FIELD; FLUID FLOW; REYNOLDS NUMBER; STOKES FORMULA; THREE-DIMENSIONAL FLOW; VORTICITY;

EID: 79951682258     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010004519     Document Type: Article

References (17)

1. BALSA, T. F. 1998 Secondary flow in a (Pubitemid 128488692)
2. DAVIS, A. M. J. & 0'NEILL, M. E. 1977 Separation in a slow linear shear flow past a cylinder and a plane. J. Fluid Mech. 81, 551-564.
3. GOMILKO, A. M., MALYUGA, V. S. & MELESHKO, V. V. 2003 On steady Stokes flow in a trihedral rectangular corner. J. Fluid Mech. 476, 159-177. (Pubitemid 36374783)
4. HILLS, C. P. & MOFFATT, H. K. 2000 Rotary honing: a variant of the Taylor paintscraper problem. J. Fluid Mech. 418, 119-135.
5. JEFFREY, D. J. & SHERWOOD, J. D. 1980 Streamline patterns and eddies in low-Reynolds-number flow. J. Fluid Mech. 96, 315-334. (Pubitemid 10453163)
6. Lauga, E., Stroock, A. D. & Stone, H. A. 2004 Three-dimensional flows in slowly varying planar geometries. Phys. Fluids 16, 3051-3062. (Pubitemid 39147053)
7. Lee, J. S. & Fung, Y. C. 1969 Stokes flow around a circular cylindrical post confined between two parallel plates. J. Fluid Mech. 37, 657-670.
8. Liu, R. H., Stremler, M. A., Sharp, K. V., Olsen, M. G., Santiago, J. G., Adrian, R. J., Aref, H. & Beebe, D. J. 2000 Passive mixing in a three-dimensional serpentine microchannel. J. Microelectromech. Syst. 9, 190-197.
9. Moffatt, H. K. 1964 Viscous and resistive eddies near a sharp corner. J. Fluid Mech. 18, 1-18.
10. Riegels, F. 1938 Zur kritik des Hele-Shaw-versuchs. ZAMM 18, 95-106.
11. Rusconi, R., Lecuyer, S., Guglielmini, L. & Stone, H. A. 2010 Laminar flow around corners triggers the formation of biofilm streamers. J. R. Soc. Interf. 7, 1293-1299.
12. Shankar, N. P. 2000 On Stokes flow in a semi-infinite wedge. J. Fluid Mech. 422, 69-90.
13. Shankar, P. N. 2007 Slow Viscous Flow. Imperial College Press.
14. Squires, T. M. & Quake, S. R. 2005 Microfluidics: fluid physics on the nanoliter scale. Rev. Mod. Phys. 77, 977-1026. (Pubitemid 43272528)
15. Stone, H. A., Stroock, A. D. & Ajdari, A. 2004 Engineering flows in small devices. Annu. Rev. Fluid Mech. 36, 381-411.
16. Thompson, B. W. 1968 Secondary flow in a Hele-Shaw cell. J. Fluid Mech. 31, 379-395.
17. Yi, M. & Bau, H. H. 2003 The kinematics of bend-induced mixing in micro-conduits. Intl J. Heat Fluid 24, 645-656. (Pubitemid 37111058)