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Original Articles

Lamination and folding in electromagnetically driven flows of specified geometries

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Article: N6 | Received 15 Jan 2010, Accepted 19 Oct 2010, Published online: 24 Jan 2011

References

  • Reynolds , O. 1893 . Study of fluid motion by means of coloured bands . Proc. R. Inst. Great Britain , XIV : 129 – 138 .
  • Wiggins , S. and Ottino , J. M. 2004 . Foundations of chaotic mixing . Phil. Trans. R. Soc. Lond. A , 362 : 937 – 970 .
  • Voth , G. A. , Haller , G. and Gollub , J. P. 2002 . Experimental measurements of stretching fields in fluid mixing . Phys. Rev. Lett. , 88 : 254501
  • Ottino , J. M. 1989 . The Kinematics of Mixing , Cambridge , , UK : Cambridge University Press .
  • Rossi , L. , Vassilicos , J. C. and Hardalupas , Y. 2006 . Multiscale laminar flows with turbulentlike properties . Phys. Rev. Lett. , 97 : 144501
  • Haller , G. 2000 . Finding finite-time invariant manifolds in two-dimensional velocity fields . Chaos , 10 : 99 – 108 .
  • Eckhardt , B. and Yao , D. 1993 . Local Lyapunov exponents in chaotic systems . Physica D , 65 : 100 – 108 .
  • Haller , G. and Yuan , G. 2000 . Lagrangian coherent structures and mixing in two-dimensional turbulence . Physica D , 147 : 352 – 370 .
  • Bajer , K. , Bassom , A. P. and Gilbert , A. D. 2001 . Accelerated diffusion in the centre of a vortex . J. Fluid Mech. , 437 : 395 – 411 .
  • Weiss , J. 1981 . The dynamics of enstrophy transfer in two-dimensional hydrodynamics . Physica D , 48 : 273 – 294 .
  • Okubo , A. 1970 . Horizontal dispersion of floatable trajectories in the vicinity of velocity singularities such as convergencies . Deep-Sea Res. , 17 : 445 – 454 .
  • Chong , M. and Cantwell , A. P.B. 1990 . A general classification of three-dimensional flow fields . Phys. Fluids A , 2 : 765 – 777 .
  • Stroock , A. D. , Dertinger , S. K.W. , Ajdari , A. , Mezic , I. , Stone , H. A. and Whitesides , G. M. 2002 . Chaotic Mixer for microchannels . Science , 295 : 647 – 651 .
  • Simonnet , C. and Groisman , A. 2005 . Chaotic mixing in a steady flow in a microchannel . Phys. Rev. Lett. , 94 : 134501
  • Cubaud , T. and Mason , T. G. 2006 . Folding of viscous threads in diverging microchannels . Phys. Rev. Lett. , 96 : 114501
  • Frederick , J. , Phelan , R. , Hughes , N. R. and Pathak , J. A. 2008 . Chaotic mixing in microfluidic devices driven by oscillatory cross flow . Phys. Fluids , 20 : 023101
  • Rossi , L. , Bocquet , S. , Ferrari , S. , Cruzde la , J. G. and Lardeau , S. 2009 . Control of flow geometry using electromagnetic body forcing . Int. J. Heat Fluid Flow , 30 : 505 – 513 .
  • Antonia , R. A. , Chambers , A. J. , Britz , D. and Browne , L. W.B. 1986 . Organized structures in a turbulent plane jet: topology and contribution to momentum and heat transport . J. Fluid Mech. , 172 : 211 – 229 .
  • Warhaft , Z. 2000 . Passive scalars in turbulent flows . Annu. Rev. Fluid Mech. , 32 : 203 – 240 .
  • Goto , S. and Vassilicos , J. C. 2004 . Particle pair diffusion and persistent streamline topology in two-dimensional turbulence . New J. Phys. , 6 : 1 – 35 .
  • Dubief , Y. and Delcayre , F. 2000 . On coherent-vortex identification in turbulence . J. Fluid Mech. , 553 : 227 – 252 .
  • Schneider , K. , Farge , M. , Azzalini , A. and Ziuber , J. 2006 . Coherent vortex extraction and simulation of 2D isotropic turbulence . J. Turbul. , 7 ( 44 ) : 1 – 25 .
  • Robinson , S. 1991 . Coherent motions in the turbulent boundary layer . Annu. Rev. Fluid Mech. , 23 : 609 – 39 .
  • Adrian , R. , Meinhart , C. and Tomkins , C. 2000 . Vortex organisation in the outer region of the turbulent boundary layer . J. Fluid Mech. , 422 : 1 – 54 .
  • Hascoet , E. , Rossi , L. and Vassilicos , J. Multi-Scale Flow Control for Efficient Mixing: Simulation of Electromagnetically Forced Turbulent-Like Laminar Flows . Proceedings of the IUTAM Symposium on Flow Control and MEMS, Royal Geographical Society, Imperial College . September 19–22 2006 , London . Edited by: Morrison , J. F. , Birch , D. M. and Lavoie , P. Vol. 7 , pp. 456 IUAM Bookseries, (ISBN: 978-1-4020-6857-7)]
  • Rossi , L. , Vassilicos , J. C. and Hardalupas , Y. 2006 . Electromagnetically controlled multi-scale flows . J. Fluid. Mech. , 558 : 207 – 242 .
  • Richardson , L. F. 1926 . Atmospheric diffusion shown on a distance-Neighbour graph . Proc. R. Soc. Lond. A , 110 : 709 – 737 .
  • Thiffeault , J. 2004 . Stretching and curvature of material lines in chaotic flows . Physica D , 198 : 169 – 181 .
  • Ottino , J. M. , Jana , S. C. and Chakravarthy , V. S. 1994 . From Reynolds's stretching and folding to mixing studies using horseshoe maps . Phys. Fluids , 6 : 685 – 699 .
  • Tabeling , P. , Chabert , M. , Dodge , A. , Jullien , C. and Okkels , F. 2004 . Chaotic mixing in cross-channel micromixers . Phil. Tran.: Math., Phy. Eng. Sci. , 362 : 987 – 1000 .
  • Braun , W. , lillo , F. D. and Eckhardt , B. 2006 . Geometry of particle paths in turbulence . J. Turbul. , 7 : 1 – 11 .
  • Xu , H. , Ouellette , N. T. and Bodenschatz , E. 2007 . Curvature of Lagrangian trajectories in turbulence . Phys. Rev. Lett. , 98 : 050201
  • Rossi , L. 2010 . A mechanism to explore lamination rate . Phys. Rev. E. , 81 : 027301
  • Thibault , J. P. and Rossi , L. 2000 . Experimental modeling of seawater electromagnetic flow control . ERCOFTAC Bull. Turbul. Cont. , 44 : 41 – 49 .
  • Thibault , J. P. and Rossi , L. 2003 . Electromagnetic flow control: characteristic numbers and flow regimes of a wall-normal actuator . J. Phys. D: Appl. Phys. , 36 : 2559
  • Voth , G. A. , Saint , T. C. , Dobler , G. and Gollub , J. P. 2003 . Mixing rates and symmetry breaking in two-dimensional chaotic flow . Phys. Fluids , 15 : 2560 – 2566 .
  • Jullien , M. C. , Castiglione , P. and Tabeling , P. 2000 . Experimental observation of Batchelor dispersion of passive tracers . Phys. Rev. Lett. , 85 : 3636
  • Figueroa , S. C.A. , Demiaux , F. and Ramos , E. 2009 . Electrically driven vortices in a weak dipolar magnetic field in a shallow electrolytic layer . J. Fluid Mech. , 641 : 245 – 261 .
  • Akkermans , R. A.D. , Cieslik , A. R. , Kamp , L. P.J. , Trieling , R. R. , Clercx , H. J.H. and Heijst , G. J.F.V. 2008 . The three-dimensional structure of an electromagnetically generated dipolar vortex in a shallow fluid layer . Phys. Fluids , 20 : 116601
  • Nosenchuck , D. and Brown , G. 1993 . “ Discrete spatial control of wall shear stress in a turbulent boundary layer ” . In Near-Wall Turbulent Flows , Edited by: So , R. , Speziale , C. and Launder , B. 689 – 698 . New York : Elsevier Science .
  • Henoch , C. and Stace , J. 1995 . Experimental investigation of a salt water turbulent boundary layer modified by an applied streamwise magnetohydrodynamic body force . Phys. Fluids , 7 : 1371 – 1383 .
  • Breuer , K. S. , Park , J. and Henoch , C. 2004 . Actuation and control of a turbulent channel flow using Lorentz forces . Phys. Fluids , 16 : 897 – 907 .
  • Lee , J. H. and Sung , H. 2005 . Response of a spatially developing turbulent boundary layer to a spanwise oscillating electromagnetic force . J. Turbul. , 6 : 1 – 15 .
  • Weier , T. , Gerbeth , G. , Mutschke , G. , Lielausis , O. and Lammers , G. 2003 . Control of flow separation using electromagnetic forces . Flow Turbul. Comb. , 71 : 5 – 17 . 10.1023/B:APPL.0000014922.98309.21
  • Rossi , L. and Thibault , J. P. 2002 . Investigation of wall normal electromagnetic actuator for seawater flow control . J. Turbul. , 3 : N5
  • Kenjeres , S. , Verdoold , J. , Tummers , M. , Hanjalic , K. and Kleijn , C. 2008 . Numerical and experimental study of electromagnetic driven vortical flows . ETMM , 7 : 6
  • Kenjeres , S. 2008 . Electromagnetic enhancement of turbulent heat transfer . Phys. Rev. E , 78 : 066309
  • Wolf , A. , Brown , M. and Prentiss , P. 1982 . “ Concentrative Properties of Aqueous Solutions: Conversion Tables ” . In CRC Handbook of Chemestry and Physics , Boca Raton , FL : CRC Press .
  • Moreau , R. 1990 . Magnetohydrodynamics , Kluwer .
  • Lardeau , S. , Ferrari , S. and Rossi , L. 2008 . Three-dimensional direct numerical simulation of electromagnetically driven multiscale shallow layer flows: numerical modeling and physical properties . Phys. Fluids , 20 : 127101
  • Ferrari , S. and Rossi , L. 2008 . Particle tracking velocimetry and accelerometry (PTVA) measurements applied to quasi-two-dimensional multi-scale flows . Exp. Fluids , 44 : 873 – 886 .
  • Akoun , G. and Yonnet , J. 1984 . 3D analytical calculation of the forces exerted between two cuboidal magnets . IEEE Tran. Magn. , 20 : 1962 – 1964 .
  • Salazar , J. and Collins , L. 2009 . Two-particle dispersion in isotropic turbulent flows . Annu. Rev. Fluid Mech. , 41 : 405 – 432 .
  • Batchelor , G. 1959 . Small-scale variation of convected quantities like temperature in turbulent fluid . J. Fluid Mech. , 437 : 113 – 133 .
  • Davidson , P. 2004 . Turbulence, An Introduction for Scientists and Engineers , Oxford , , UK : Oxford University Press .

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