메뉴 건너뛰기




Volumn 18, Issue 3, 2006, Pages

Reduced models of chemical reaction in chaotic flows

Author keywords

Chaos; Chemical analysis; Chemically reactive flow; Laminar flow; Reaction diffusion systems

Indexed keywords

CHEMICAL ANALYSIS; CHEMICAL REACTIONS; COMPOSITION; COMPUTER SIMULATION; DIFFUSION; MATHEMATICAL MODELS; PARTICLES (PARTICULATE MATTER);

EID: 33645472426     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2182373     Document Type: Article
Times cited : (8)

References (30)
  • 1
    • 1642351161 scopus 로고    scopus 로고
    • "Engineering flows in small devices: Microfluidics toward a lab-on-a-chip"
    • ARVFA30066-418910.1146/annurev.fluid.050802.122124
    • H.A. Stone, A.D. Strook, and A. Ajdari, "Engineering flows in small devices: Microfluidics toward a lab-on-a-chip," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/annurev.fluid.36.050802.122124 36, 381 (2004).
    • (2004) Annu. Rev. Fluid Mech. , vol.36 , pp. 381
    • Stone, H.A.1    Strook, A.D.2    Ajdari, A.3
  • 2
    • 0021443337 scopus 로고
    • "Stirring by chaotic advection"
    • JFLSA70022-20
    • H. Aref, "Stirring by chaotic advection," J. Fluid Mech.JFLSA70022-1120 143, 1 (1984).
    • (1984) J. Fluid Mech. , vol.143 , pp. 1
    • Aref, H.1
  • 4
    • 0036538666 scopus 로고    scopus 로고
    • "The development of chaotic advection"
    • PHFLE61070-663110.1063/1.58932
    • H. Aref, "The development of chaotic advection," Phys. FluidsPHFLE61070-663110.1063/1.1458932 14, 1315 (2002).
    • (2002) Phys. Fluids , vol.14 , pp. 1315
    • Aref, H.1
  • 5
    • 11544338920 scopus 로고
    • "Dynamics of a lamellar system with diffusion and reaction: Scaling analysis and global kinetics"
    • PLRAAN1050-294710.1103/PhysRevA.40.7182
    • F.J. Muzzio and J.M. Ottino, "Dynamics of a lamellar system with diffusion and reaction: Scaling analysis and global kinetics," Phys. Rev. APLRAAN1050-294710.1103/PhysRevA.40.7182 40, 7182 (1989).
    • (1989) Phys. Rev. A , vol.40 , pp. 7182
    • Muzzio, F.J.1    Ottino, J.M.2
  • 6
    • 4243870926 scopus 로고
    • "Diffusion and reaction in a lamellar system: Self-similarity with finite rates of reaction"
    • PLRAAN1050-294710.1103/PhysRevA.42.5873
    • F.J. Muzzio and J.M. Ottino, "Diffusion and reaction in a lamellar system: Self-similarity with finite rates of reaction," Phys. Rev. APLRAAN1050-294710.1103/PhysRevA.42.5873 42, 5873 (1990).
    • (1990) Phys. Rev. A , vol.42 , pp. 5873
    • Muzzio, F.J.1    Ottino, J.M.2
  • 7
    • 0028726894 scopus 로고
    • "Mixing and chemical reactions: A tutorial"
    • CESCAC0009-2509
    • J.M. Ottino, "Mixing and chemical reactions: A tutorial," Chem. Eng. Sci.CESCAC0009-2509 49, 4005 (1994).
    • (1994) Chem. Eng. Sci. , vol.49 , pp. 4005
    • Ottino, J.M.1
  • 8
    • 0000094552 scopus 로고    scopus 로고
    • "Finite time Lyapunov exponent and advection-diffusion equation"
    • PDNPDT0167-278910.1016/0167-2789(96)00064-4
    • X.Z. Tang and A.H. Boozer, "Finite time Lyapunov exponent and advection-diffusion equation," Physica DPDNPDT0167-278910.1016/ 0167-2789(96)00064-4 95, 283 (1996).
    • (1996) Physica D , vol.95 , pp. 283
    • Tang, X.Z.1    Boozer, A.H.2
  • 9
    • 0001166724 scopus 로고    scopus 로고
    • "A Lagrangian analysis of advection-diffusion equation for a three dimensional chaotic flow"
    • PHFLE61070-663110.1063/1.870006
    • X.Z. Tang and A.H. Boozer, "A Lagrangian analysis of advection-diffusion equation for a three dimensional chaotic flow," Phys. FluidsPHFLE61070-663110.1063/1.870006 11, 1418 (1999).
    • (1999) Phys. Fluids , vol.11 , pp. 1418
    • Tang, X.Z.1    Boozer, A.H.2
  • 10
    • 0033098165 scopus 로고    scopus 로고
    • "Design criteria of a chemical reactor based on a chaotic flow"
    • CHAOEH1054-150010.1063/1.166389
    • X.Z. Tang and A.H. Boozer, "Design criteria of a chemical reactor based on a chaotic flow," ChaosCHAOEH1054-150010.1063/1.166389 9, 183 (1999).
    • (1999) Chaos , vol.9 , pp. 183
    • Tang, X.Z.1    Boozer, A.H.2
  • 11
    • 0037474725 scopus 로고    scopus 로고
    • "Advection-diffusion in Lagrangian coordinates"
    • PYLAAG0375-960110.1016/S0375-9601(03)00244-5
    • J.-L. Thiffeault, "Advection-diffusion in Lagrangian coordinates," Phys. Lett. APYLAAG0375-960110.1016/ S0375-9601(03)00244-5 309, 415 (2003).
    • (2003) Phys. Lett. A , vol.309 , pp. 415
    • Thiffeault, J.-L.1
  • 12
    • 0001795527 scopus 로고    scopus 로고
    • "Geometrical constraints on finite-time Lyapunov exponents in two and three dimensions"
    • CHAOEH1054-150010.1063/1.1342079
    • J.-L. Thiffeault and A.H. Boozer, "Geometrical constraints on finite-time Lyapunov exponents in two and three dimensions," ChaosCHAOEH1054-150010.1063/1.1342079 11, 16 (2001).
    • (2001) Chaos , vol.11 , pp. 16
    • Thiffeault, J.-L.1    Boozer, A.H.2
  • 13
    • 0013553884 scopus 로고
    • "Reactions in systems with mixing"
    • JPHAC50305-447010.1088/0305-4470//15/034
    • I.M. Sokolov and A. Blumen, "Reactions in systems with mixing," J. Phys. AJPHAC50305-447010.1088/0305-4470/24/15/034 24, 3687 (1991).
    • (1991) J. Phys. A , vol.24 , pp. 3687
    • Sokolov, I.M.1    Blumen, A.2
  • 14
    • 41349092247 scopus 로고    scopus 로고
    • "Excitable media in open and closed chaotic flows"
    • PLEEE81063-651X10.1103/PhysRev 66.066208
    • Z. Neufeld, C. López, E. Hernández-Garcia, and O. Piro, "Excitable media in open and closed chaotic flows," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.66.066208 66, 066208 (2002).
    • (2002) Phys. Rev. E , vol.66 , pp. 0208
    • Neufeld, Z.1    López, C.2    Hernández-Garcia, E.3    Piro, O.4
  • 15
    • 0036592281 scopus 로고    scopus 로고
    • "Chaotic mixing induced transitions in reaction-diffusion systems"
    • CHAOEH1054-150010.1063/1.1476949
    • Z. Neufeld, P.H. Haynes, and T. Tél, "Chaotic mixing induced transitions in reaction-diffusion systems," ChaosCHAOEH1054-150010.1063/1.1476949 12, 426 (2002).
    • (2002) Chaos , vol.12 , pp. 426
    • Neufeld, Z.1    Haynes, P.H.2    Tél, T.3
  • 16
    • 10644220230 scopus 로고    scopus 로고
    • "Chaotic mixing of a competitive-consecutive reaction"
    • PDNPDT0167-2789
    • S.M. Cox, "Chaotic mixing of a competitive-consecutive reaction," Physica DPDNPDT0167-2789 199, 369 (2004).
    • (2004) Physica D , vol.199 , pp. 369
    • Cox, S.M.1
  • 17
    • 19344376837 scopus 로고    scopus 로고
    • "Chemical and biological activity in open flows: A dynamical system approach"
    • PRPLCM0370-157310.1016/j.physrep.2005.01.005
    • T. Tél, A. de Moura, C. Grebogi, and G. Károlyi, "Chemical and biological activity in open flows: A dynamical system approach," Phys. Rep.PRPLCM0370-157310.1016/j.physrep.2005.01.005 413, 91 (2005).
    • (2005) Phys. Rep. , vol.413 , pp. 91
    • Tél, T.1    de Moura, A.2    Grebogi, C.3    Károlyi, G.4
  • 18
    • 0032672873 scopus 로고    scopus 로고
    • "Reaction and diffusion in a lamellar structure: The effect of the lamellar arrangement upon yield"
    • PHYADX0378-437110.1016/S0378-4371(98)00423-3
    • M.J. Clifford, S.M. Cox, and E.P.L. Roberts, "Reaction and diffusion in a lamellar structure: The effect of the lamellar arrangement upon yield," Physica APHYADX0378-437110.1016/ S0378-4371(98)00423-3 262, 294 (1999).
    • (1999) Physica A , vol.262 , pp. 294
    • Clifford, M.J.1    Cox, S.M.2    Roberts, E.P.L.3
  • 19
    • 0032215826 scopus 로고    scopus 로고
    • "Lamellar modelling of reaction, diffusion and mixing in a two-dimensional flow"
    • CMEJAJ0300-946710.1016/S1385-8947(98)00107-7
    • M.J. Clifford, S.M. Cox, and E.P.L. Roberts, "Lamellar modelling of reaction, diffusion and mixing in a two-dimensional flow," Chem. Eng. J.CMEJAJ0300-946710.1016/S1385-8947(98)00107-7 71, 49 (1998).
    • (1998) Chem. Eng. , vol.71 , pp. 49
    • Clifford, M.J.1    Cox, S.M.2    Roberts, E.P.L.3
  • 20
    • 0032120989 scopus 로고    scopus 로고
    • "A two-stage reaction with initially separated reactants"
    • PHYADX0378-437110.1016/S0378-4371(98)00091-0
    • M.J. Clifford, S.M. Cox, and E.P.L. Roberts, "A two-stage reaction with initially separated reactants," Physica APHYADX0378-437110.1016/S0378-4371(98)00091-0 256, 65 (1998).
    • (1998) Physica A , vol.256 , pp. 65
    • Clifford, M.J.1    Cox, S.M.2    Roberts, E.P.L.3
  • 21
    • 22544444948 scopus 로고    scopus 로고
    • "Quantification of reactive mixing in laminar microflows"
    • PHFLE61070-663110.1063/1.1810111
    • A. Vikhansky, "Quantification of reactive mixing in laminar microflows," Phys. FluidsPHFLE61070-663110.1063/1.1810111 16, 4738 (2004).
    • (2004) Phys. Fluids , vol.16 , pp. 4738
    • Vikhansky, A.1
  • 22
    • 0029675642 scopus 로고    scopus 로고
    • "The curvature of material lines in chaotic cavity flows"
    • PHFLE61070-663110.1063/1.868815
    • M. Liu and F. Muzzio, "The curvature of material lines in chaotic cavity flows," Phys. FluidsPHFLE61070-663110.1063/1.868815 8, 75 (1996).
    • (1996) Phys. Fluids , vol.8 , pp. 75
    • Liu, M.1    Muzzio, F.2
  • 23
    • 0032547664 scopus 로고    scopus 로고
    • "Self-similar spatiotemporal structure of intermaterial boundaries in chaotic flows"
    • PRLTAO0031-900710.1103/PhysRevLett.81.3395
    • M.M. Alvarez, F.J. Muzzio, S. Cerbelli, A. Adrover, and M. Giona, "Self-similar spatiotemporal structure of intermaterial boundaries in chaotic flows," Phys. Rev. Lett.PRLTAO0031-900710.1103/ PhysRevLett.81.3395 81, 3395 (1998).
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 3395
    • Alvarez, M.M.1    Muzzio, F.J.2    Cerbelli, S.3    Adrover, A.4    Giona, M.5
  • 24
    • 0034731838 scopus 로고    scopus 로고
    • "An adaptive front tracking technique for three-dimensional transient flows"
    • IJNFDW0271-209110.1002/(SICI)1097-0363(0130):2/AID-FLD934>3.0.CO;2-D
    • O. Galaktionov, P. Anderson, G. Peters, and F. van de Vosse, "An adaptive front tracking technique for three-dimensional transient flows," Int. J. Numer. Methods FluidsIJNFDW0271-209110.1002/ (SICI)1097-0363(20000130)32:2./201::AID-FLD934>3.0.CO;2-D 32, 201 (2000).
    • (2000) Int. J. Numer. Methods Fluids , vol.32 , pp. 201
    • Galaktionov, O.1    Anderson, P.2    Peters, G.3    van de Vosse, F.4
  • 26
    • 0003075424 scopus 로고
    • "Symmetry concepts for the geometric analysis of mixing flows"
    • PTRMAD0962-8428
    • J.G. Franjione and J.M. Ottino, "Symmetry concepts for the geometric analysis of mixing flows," Philos. Trans. R. Soc. London, Ser. APTRMAD0962-8428 338, 301 (1992).
    • (1992) Philos. Trans. R. Soc. London, Ser. A , vol.338 , pp. 301
    • Franjione, J.G.1    Ottino, J.M.2
  • 27
    • 0037071996 scopus 로고    scopus 로고
    • "Quantitative analysis of mixing structures in chaotic flows generated by infinitely fast reactions in the presence of diffusion"
    • JPCHAX0022-3654 10.1021/jp0135914
    • M. Giona, S. Cerbelli, and A. Adrover, "Quantitative analysis of mixing structures in chaotic flows generated by infinitely fast reactions in the presence of diffusion," J. Phys. Chem.JPCHAX0022-365410.1021/jp0135914 106, 5722 (2002).
    • (2002) J. Phys. Chem. , vol.106 , pp. 5722
    • Giona, M.1    Cerbelli, S.2    Adrover, A.3
  • 28
    • 0037081998 scopus 로고    scopus 로고
    • "A spectral approach to reaction/diffusion kinetics in chaotic flows"
    • CCENDW0098-135410.1016/S0098-1354(01)00761-X
    • A. Adrover, S. Cerbelli, and M. Giona, "A spectral approach to reaction/diffusion kinetics in chaotic flows," Comput. Chem. Eng.CCENDW0098-135410.1016/S0098-1354(01)00761-X 26, 125 (2002).
    • (2002) Comput. Chem. Eng. , vol.26 , pp. 125
    • Adrover, A.1    Cerbelli, S.2    Giona, M.3
  • 29
    • 85038308035 scopus 로고    scopus 로고
    • "Geometry of reaction interfaces in chaotic flows"
    • PRLTAO0031-900710.1103/PhysRevLett.88.024501
    • M. Giona, S. Cerbelli, and A. Adrover, "Geometry of reaction interfaces in chaotic flows," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.88.024501 88, 024501 (2002).
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 024501
    • Giona, M.1    Cerbelli, S.2    Adrover, A.3
  • 30
    • 0036501083 scopus 로고    scopus 로고
    • "Exponential time differencing for stiff systems"
    • JCTPAH0021-999110.1006/jcph.2002.6995
    • S.M. Cox and P.C. Matthews, "Exponential time differencing for stiff systems," J. Comput. Phys.JCTPAH0021-999110.1006/ jcph.2002.6995 176, 430 (2002).
    • (2002) J. Comput. Phys. , vol.176 , pp. 430
    • Cox, S.M.1    Matthews, P.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.