Two-dimensional simulations of flow near a cavity and a flexible solid boundary

Physics of Fluids

Volumn 18, Issue 6, 2006, Pages

  Yin, Xiuyan ^a   Kumar, Satish ^a  

^a University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DEFORMATION; FLOW PATTERNS; ITERATIVE METHODS; LUBRICATION;

BOUNDARY DEFORMATION; FLEXIBLE SOLID BOUNDARY; PRESURE GRADIENT; STOKES' EQUATIONS;

FLOW OF FLUIDS;

COMPUTER SIMULATION; DEFORMATION; FLOW OF FLUIDS; FLOW PATTERNS; ITERATIVE METHODS; LUBRICATION;

EID: 33745600352     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2204061     Document Type: Article

References (27)

1. S. Kalliadasis, C. Bielarz, and G. M. Homsy, "Steady free-surface thin film flows over topography," Phys. FluidsPHFLE61070-663110.1063/1.870438 12, 1889 (2000).
2. R. C. Alkire and H. Deliglanni, "The role of mass transport on anisotropic electrochemical pattern etching," J. Electrochem. Soc.JESOAN0013-465110.1149/1.2095882 135, 1093 (1988).
3. N. T. Nguyen and Z. Wu, "Micromixers - a review," J. Micromech. Microeng.JMMIEZ0960-131710.1088/0960-1317/15/2/R01 15, R1 (2005).
4. P. N. Shankar and M. D. Deshpande, "Fluid mechanics in the driven cavity," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/ annurev.fluid.32.1.93 32, 93 (2000).
5. X. Yin and S. Kumar, "Lubrication flow between a cavity and a flexible wall," Phys. FluidsPHFLE61070-663110.1063/1.1914819 17, 063101 (2005).
6. C. Shen and J. M. Floryan, "Low Reynolds number flow over cavities," Phys. FluidsPFLDAS0031-917110.1063/1.865366 28, 3191 (1985).
7. J. J. L. Higdon, "Stokes flow in arbitrary two-dimensional domains: Shear flow over ridges and cavities," J. Fluid Mech.JFLSA70022-112010.1017/S0022112085003172 159, 195 (1985).
8. M. Horner, G. Metcalfe, S. Wiggins, and J. M. Ottino, "Transport enhancement mechanisms in open cavities," J. Fluid Mech.JFLSA70022-112010.1017/S0022112001006917 452, 199 (2002).
9. L. C. Fang, D. Nicolaou, and J. W. Cleaver, "Numerical simulation of time-dependent hydrodynamic removal of a contaminated fluid from a cavity," Int. J. Numer. Methods FluidsIJNFDW0271-209110.1002/ fld.579 42, 1087 (2003).
10. M. S. Carvalho and L. E. Scriven, "Flow in forward deformable roll coating gaps: Comparison between spring and plane-strain models of roll cover," J. Comput. Phys.JCTPAH0021-999110.1006/jcph.1997.5826 138, 449 (1997).
11. J. B. Grotberg and O. E. Jensen, "Biofluid mechanics in flexible tubes," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/ annurev.fluid.36.050802.121918 36, 121 (2004).
12. S. R. Quake and A. Scherer, "From micro- to nanofabrication with soft materials," ScienceSCIEAS0036-807510.1126/ science.290.5496.1536 290, 1536 (2000).
13. F. R. Pranckh and D. J. Coyle, "Elastohydrodynamics in coating flows," in Liquid Film Coating, edited by S. F. Kistler and P. M. Schweizer (Chapman & Hall, London, 1997), p. 599.
14. W. Flügge, Stresses in Shells, 2nd ed. (Springer-Verlag, New York, 1973).
15. X. Y. Luo and T. J. Pedley, "A numerical simulation of steady flow in a 2D collapsible channel," J. Fluids Struct.ZZZZZZ0889-9746 9, 149 (1995).
16. T. W. Lowe and T. J. Pedley, "Computation of Stokes flow in a channel with a collapsible segment," J. Fluids Struct.ZZZZZZ0889-9746 9, 885 (1995).
17. X. Y. Luo and T. J. Pedley, "A numerical simulation of unsteady flow in a two-dimensional collapsible channel," J. Fluid Mech.JFLSA70022-1120 314, 191 (1996).
18. J. F. Thompson, Z. U. A. Warsi, and C. W. Mastin, Numerical Grid Generation (Elsevier Science, New York, 1985).
19. X. Yin, "Visualization and modeling of flow inside gravure cells and grooves," Ph.D. thesis, University of Minnesota (2005).
20. M. Heil, "Stokes flow in collapsible tubes: Computation and experiment," J. Fluid Mech.JFLSA70022-112010.1017/S0022112097007490 353, 285 (1997).
21. E. B. Shim and R. D. Kamm, "Numerical simulation of steady flow in a compliant tube or channel with tapered wall thickness," J. Fluids Struct.ZZZZZZ0889-9746 16, 1009 (2002).
22. M. P. Rast, "Simultaneous solution of the Navier-Stokes and elastic membrane equations by a finite element method," Int. J. Numer. Methods FluidsIJNFDW0271-209110.1002/fld.1650191205 19, 1115 (1994).
23. T. J. Pedley, "Longitudinal tension variation in collapsible channels: A new mechanism for the breakdown of steady flow," J. Biomech. Eng.JBENDY0148-0731 114, 60 (1992).
24. T. J. Pedley and X. Y. Luo, "Modeling flow and oscillations in collapsible tubes," Theor. Comput. Fluid Dyn.TCFDEP0935-496410.1007/ s001620050064 10, 277 (1998).
25. X. Y. Luo and T. J. Pedley, "Multiple solutions and flow limitation in collapsible channel flows," J. Fluid Mech.JFLSA70022-112010.1017/ S002211200000152X 420, 301 (2000).
26. H. K. Moffatt, "Viscous and resistive eddies near a sharp corner," J. Fluid Mech.JFLSA70022-1120 18, 1309 (1964).
27. J. M. Ottino, "Mixing, chaotic advection, and turbulence," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/annurev.fluid.22.1.207 22, 207 (1990).