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Volumn 23, Issue 2, 2011, Pages

Exact averaging of laminar dispersion

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DIFFUSION; HIGHER ORDER STATISTICS;

EID: 79952093141     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3555156     Document Type: Article
Times cited : (36)

References (37)
  • 1
    • 0003381083 scopus 로고
    • Dispersion of soluble matter in solvent flowing slowly through a tube
    • PRLAAZ, 0950-1207, 10.1098/rspa.1953.0139.
    • Taylor G.I. Dispersion of soluble matter in solvent flowing slowly through a tube. Proc. R. Soc. London, Ser. A 1953, 219:186. PRLAAZ, 0950-1207, 10.1098/rspa.1953.0139.
    • (1953) Proc. R. Soc. London, Ser. A , vol.219 , pp. 186
    • Taylor, G.I.1
  • 2
    • 0001450380 scopus 로고
    • The dispersion of matter in turbulent flow through a pipe
    • PRLAAZ, 0950-1207, 10.1098/rspa.1954.0130.
    • Taylor G.I. The dispersion of matter in turbulent flow through a pipe. Proc. R. Soc. London, Ser. A 1954, 223:446. PRLAAZ, 0950-1207, 10.1098/rspa.1954.0130.
    • (1954) Proc. R. Soc. London, Ser. A , vol.223 , pp. 446
    • Taylor, G.I.1
  • 3
    • 36449005018 scopus 로고
    • Shear dispersion
    • PHFLE6, 1070-6631, 10.1063/1.858090
    • Young W.R. Jones S. Shear dispersion. Phys. Fluids 1991, 3:1087. PHFLE6, 1070-6631, 10.1063/1.858090.
    • (1991) Phys. Fluids , vol.3 , pp. 1087
    • Young, W.R.1    Jones, S.2
  • 5
    • 84985504166 scopus 로고
    • On Laminar dispersion for flow through round tubes
    • JAMCAV, 0021-8936, 10.1115/1.3153832
    • Gill W.N. Subramanian R.S. On Laminar dispersion for flow through round tubes. Trans. ASME, J. Appl. Mech. 1980, 47:975. JAMCAV, 0021-8936, 10.1115/1.3153832.
    • (1980) Trans. ASME, J. Appl. Mech. , vol.47 , pp. 975
    • Gill, W.N.1    Subramanian, R.S.2
  • 6
    • 0025567096 scopus 로고
    • A centre manifold description of contaminant dispersion in channel with varying flow properties
    • SMJMAP, 0036-1399, 10.1137/0150091
    • Mercer G.N. Roberts A.J. A centre manifold description of contaminant dispersion in channel with varying flow properties. SIAM J. Appl. Math. 1990, 50:1547. SMJMAP, 0036-1399, 10.1137/0150091.
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 1547
    • Mercer, G.N.1    Roberts, A.J.2
  • 7
    • 0000900115 scopus 로고
    • A complete model of shear dispersion in pipes
    • ZZZZZZ, 0916-7005, 10.1007/BF03167234
    • Mercer G.N. Roberts A.J. A complete model of shear dispersion in pipes. Jpn. J. Ind. Appl. Math. 1994, 11:499. ZZZZZZ, 0916-7005, 10.1007/BF03167234.
    • (1994) Jpn. J. Ind. Appl. Math. , vol.11 , pp. 499
    • Mercer, G.N.1    Roberts, A.J.2
  • 8
    • 0000564213 scopus 로고
    • Taylor dispersion revisited
    • PHYADX, 0378-4371, 10.1016/0378-4371(90)90023-L.
    • Vandenbroeck C. Taylor dispersion revisited. Physica A 1990, 168:677. PHYADX, 0378-4371, 10.1016/0378-4371(90)90023-L.
    • (1990) Physica A , vol.168 , pp. 677
    • Vandenbroeck, C.1
  • 9
    • 0001350327 scopus 로고
    • The accurate dynamic modelling of contaminant dispersion in channels
    • SMJMAP, 0036-1399, 10.1137/S0036139993257971
    • Watt S.D. Roberts A.J. The accurate dynamic modelling of contaminant dispersion in channels. SIAM J. Appl. Math. 1995, 55:1016. SMJMAP, 0036-1399, 10.1137/S0036139993257971.
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 1016
    • Watt, S.D.1    Roberts, A.J.2
  • 10
    • 0037828218 scopus 로고    scopus 로고
    • Generalized Taylor-Aris dispersion in spatially periodic microfluidic networks. Chemical reactions
    • SMJMAP, 0036-1399, 10.1137/S0036139902401872
    • Dorfman K.D. Brenner H. Generalized Taylor-Aris dispersion in spatially periodic microfluidic networks. Chemical reactions. SIAM J. Appl. Math. 2003, 63:962. SMJMAP, 0036-1399, 10.1137/S0036139902401872.
    • (2003) SIAM J. Appl. Math. , vol.63 , pp. 962
    • Dorfman, K.D.1    Brenner, H.2
  • 11
    • 2942685791 scopus 로고    scopus 로고
    • Hyperbolic homogenized models for describing dispersion effects in chromatographs and reactors
    • KJCHE6, 0256-1115, 10.1007/BF02705415.
    • Balakotaiah V. Hyperbolic homogenized models for describing dispersion effects in chromatographs and reactors. Korean J. Chem. Eng. 2004, 21:318. KJCHE6, 0256-1115, 10.1007/BF02705415.
    • (2004) Korean J. Chem. Eng. , vol.21 , pp. 318
    • Balakotaiah, V.1
  • 12
    • 34547187521 scopus 로고    scopus 로고
    • Rigorous upscaling of the reactive flow through a pore, under dominant Peclet and Damkohler numbers
    • SJMAAH, 0036-1410, 10.1137/050633573
    • Mikelić A. Devigne V. Van Duijn C.J. Rigorous upscaling of the reactive flow through a pore, under dominant Peclet and Damkohler numbers. SIAM J. Math. Anal. 2006, 38:1262. SJMAAH, 0036-1410, 10.1137/050633573.
    • (2006) SIAM J. Math. Anal. , vol.38 , pp. 1262
    • Mikelić, A.1    Devigne, V.2    Van Duijn, C.J.3
  • 13
    • 34247209591 scopus 로고    scopus 로고
    • Taylor dispersion with absorbing boundaries: A stochastic approach
    • PRLTAO, 0031-9007, 10.1103/PhysRevLett.98.164501
    • Biswas R.R. Sen P.N. Taylor dispersion with absorbing boundaries: A stochastic approach. Phys. Rev. Lett. 2007, 98:164501. PRLTAO, 0031-9007, 10.1103/PhysRevLett.98.164501.
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 164501
    • Biswas, R.R.1    Sen, P.N.2
  • 14
    • 38549102560 scopus 로고    scopus 로고
    • Comment on 'Taylor dispersion with absorbing boundaries: A stochastic approach'
    • PRLTAO, 0031-9007, 10.1103/PhysRevLett.100.029402.
    • Balakotaiah V. Comment on 'Taylor dispersion with absorbing boundaries: A stochastic approach'. Phys. Rev. Lett. 2008, 100:029402. PRLTAO, 0031-9007, 10.1103/PhysRevLett.100.029402.
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 029402
    • Balakotaiah, V.1
  • 15
    • 53549128683 scopus 로고    scopus 로고
    • Taylor dispersion in polymerase chain reaction in a microchannel
    • PHFLE6, 1070-6631, 10.1063/1.2973819
    • Lee J. Kulla E. Chauhan A. Tripathi A. Taylor dispersion in polymerase chain reaction in a microchannel. Phys. Fluids 2008, 20:093601. PHFLE6, 1070-6631, 10.1063/1.2973819.
    • (2008) Phys. Fluids , vol.20 , pp. 093601
    • Lee, J.1    Kulla, E.2    Chauhan, A.3    Tripathi, A.4
  • 16
    • 0029104166 scopus 로고
    • Dispersion of chemical solutes in chromatographs and reactors
    • PTRMAD, 0962-8428, 10.1098/rsta.1995.0025
    • Balakotaiah V. Chang H.-C. Dispersion of chemical solutes in chromatographs and reactors. Philos. Trans. R. Soc. London, Ser. A 1995, 351:39. PTRMAD, 0962-8428, 10.1098/rsta.1995.0025.
    • (1995) Philos. Trans. R. Soc. London, Ser. A , vol.351 , pp. 39
    • Balakotaiah, V.1    Chang, H.-C.2
  • 17
    • 0012247573 scopus 로고    scopus 로고
    • Hyperbolic homogenized models for thermal and solutal dispersion
    • SMJMAP, 0036-1399, 10.1137/S0036139901368863
    • Chang H.-C. Balakotaiah V. Hyperbolic homogenized models for thermal and solutal dispersion. SIAM J. Appl. Math. 2003, 63:1231. SMJMAP, 0036-1399, 10.1137/S0036139901368863.
    • (2003) SIAM J. Appl. Math. , vol.63 , pp. 1231
    • Chang, H.-C.1    Balakotaiah, V.2
  • 19
    • 0000925254 scopus 로고
    • Steady state multiplicity analysis of lumped parameter systems described by a set of algebraic equations
    • CEGCAK, 0098-6445, 10.1080/00986448508911250
    • Balakotaiah V. Luss D. Keyfitz B.L. Steady state multiplicity analysis of lumped parameter systems described by a set of algebraic equations. Chem. Eng. Commun. 1985, 36:121. CEGCAK, 0098-6445, 10.1080/00986448508911250.
    • (1985) Chem. Eng. Commun. , vol.36 , pp. 121
    • Balakotaiah, V.1    Luss, D.2    Keyfitz, B.L.3
  • 22
    • 24444437044 scopus 로고
    • Continuous flow systems: Distribution of residence times
    • CESCAC, 0009-2509, 10.1016/0009-2509(53)80001-1.
    • Danckwerts P.V. Continuous flow systems: Distribution of residence times. Chem. Eng. Sci. 1953, 2:1. CESCAC, 0009-2509, 10.1016/0009-2509(53)80001-1.
    • (1953) Chem. Eng. Sci. , vol.2 , pp. 1
    • Danckwerts, P.V.1
  • 23
    • 77949570890 scopus 로고    scopus 로고
    • On the use of transfer and dispersion coefficient concepts in low-dimensional diffusion-convection-reaction models
    • CERDEE, 0263-8762, 10.1016/j.cherd.2009.10.008
    • Balakotaiah V. Ratnakar R.R. On the use of transfer and dispersion coefficient concepts in low-dimensional diffusion-convection-reaction models. Chem. Eng. Res. Des. 2010, 88:342. CERDEE, 0263-8762, 10.1016/j.cherd.2009.10.008.
    • (2010) Chem. Eng. Res. Des. , vol.88 , pp. 342
    • Balakotaiah, V.1    Ratnakar, R.R.2
  • 24
    • 79952090863 scopus 로고    scopus 로고
    • Multi-scale averaging and analysis of transport and reaction phenomena in porous media
    • Ph.D. dissertation University of Houston, Texas.
    • Ratnakar R.R. Multi-scale averaging and analysis of transport and reaction phenomena in porous media. 2012, Ph.D. dissertation University of Houston, Texas.
    • (2012)
    • Ratnakar, R.R.1
  • 25
    • 68149117462 scopus 로고    scopus 로고
    • Rigorous upscaling of the reactive flow with finite kinetics and under dominant Peclet number
    • CMETEJ, 0935-1175, 10.1007/s00161-009-0099-z
    • Choquet C. Mikelic A. Rigorous upscaling of the reactive flow with finite kinetics and under dominant Peclet number. Continuum Mech. Thermodyn. 2009, 21:125. CMETEJ, 0935-1175, 10.1007/s00161-009-0099-z.
    • (2009) Continuum Mech. Thermodyn. , vol.21 , pp. 125
    • Choquet, C.1    Mikelic, A.2
  • 26
    • 0020497230 scopus 로고
    • On the method of moment for solute dispersion
    • JFLSA7, 0022-1120, 10.1017/S0022112083000117.
    • Barton N.G. On the method of moment for solute dispersion. J. Fluid Mech. 1983, 126:205. JFLSA7, 0022-1120, 10.1017/S0022112083000117.
    • (1983) J. Fluid Mech. , vol.126 , pp. 205
    • Barton, N.G.1
  • 27
    • 0014835865 scopus 로고
    • The approach to normality of the concentration distribution of a solute in a solvent flowing along a straight pipe
    • JFLSA7, 0022-1120, 10.1017/S0022112070002409.
    • Chatwin P.C. The approach to normality of the concentration distribution of a solute in a solvent flowing along a straight pipe. J. Fluid Mech. 1970, 43:321. JFLSA7, 0022-1120, 10.1017/S0022112070002409.
    • (1970) J. Fluid Mech. , vol.43 , pp. 321
    • Chatwin, P.C.1
  • 28
    • 0002864183 scopus 로고
    • On the dispersion of a solute in a fluid flowing through a tube
    • PRLAAZ, 0950-1207, 10.1098/rspa.1956.0065.
    • Aris R. On the dispersion of a solute in a fluid flowing through a tube. Proc. R. Soc. London, Ser. A 1956, 235:67. PRLAAZ, 0950-1207, 10.1098/rspa.1956.0065.
    • (1956) Proc. R. Soc. London, Ser. A , vol.235 , pp. 67
    • Aris, R.1
  • 29
    • 0001867725 scopus 로고
    • Centre manifolds of forced dynamical systems
    • JAMMDU, 0334-2700, 10.1017/S0334270000008511
    • Cox S.M. Roberts A.J. Centre manifolds of forced dynamical systems. J. Aust. Math. Soc. Ser. B, Appl. Math. 1991, 32:401. JAMMDU, 0334-2700, 10.1017/S0334270000008511.
    • (1991) J. Aust. Math. Soc. Ser. B, Appl. Math. , vol.32 , pp. 401
    • Cox, S.M.1    Roberts, A.J.2
  • 30
    • 0000317970 scopus 로고
    • Initial conditions for models of dynamical systems
    • PDNPDT, 0167-2789, 10.1016/0167-2789(94)00201-Z
    • Cox S.M. Roberts A.J. Initial conditions for models of dynamical systems. Physica D 1995, 85:126. PDNPDT, 0167-2789, 10.1016/0167-2789(94)00201-Z.
    • (1995) Physica D , vol.85 , pp. 126
    • Cox, S.M.1    Roberts, A.J.2
  • 31
    • 0001723995 scopus 로고    scopus 로고
    • Surface equation of falling film flows with moderate Reynolds number and large but finite Weber number
    • PHFLE6, 1070-6631, 10.1063/1.870186.
    • Takeshi O. Surface equation of falling film flows with moderate Reynolds number and large but finite Weber number. Phys. Fluids 1999, 11:3247. PHFLE6, 1070-6631, 10.1063/1.870186.
    • (1999) Phys. Fluids , vol.11 , pp. 3247
    • Takeshi, O.1
  • 32
    • 0010323657 scopus 로고
    • Boundary conditions for approximate differential equations
    • JAMMDU, 0334-2700, 10.1017/S0334270000007384.
    • Roberts A.J. Boundary conditions for approximate differential equations. J. Aust. Math. Soc. Ser. B, Appl. Math. 1992, 34:54. JAMMDU, 0334-2700, 10.1017/S0334270000007384.
    • (1992) J. Aust. Math. Soc. Ser. B, Appl. Math. , vol.34 , pp. 54
    • Roberts, A.J.1
  • 33
    • 0002056846 scopus 로고
    • Entry and exit conditions for flow reactors
    • IJAMDM, 0272-4960, 10.1093/imamat/41.1.1.
    • Smith R. Entry and exit conditions for flow reactors. IMA J. Appl. Math. 1988, 41:1. IJAMDM, 0272-4960, 10.1093/imamat/41.1.1.
    • (1988) IMA J. Appl. Math. , vol.41 , pp. 1
    • Smith, R.1
  • 36
    • 85010247727 scopus 로고
    • Boundary conditions for flow reactor
    • CESCAC, 0009-2509, 10.1016/0009-2509(56)80014-6
    • Wehner J.F. Wilhelm R.H. Boundary conditions for flow reactor. Chem. Eng. Sci. 1956, 6:89. CESCAC, 0009-2509, 10.1016/0009-2509(56)80014-6.
    • (1956) Chem. Eng. Sci. , vol.6 , pp. 89
    • Wehner, J.F.1    Wilhelm, R.H.2


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