메뉴 건너뛰기




Volumn 728, Issue , 2013, Pages 239-278

Convective diffusive mixing in concentration polarization: From Taylor dispersion to surface convection

Author keywords

Convection in cavities; Micro nano fluid dynamics; Microfluidics

Indexed keywords

ASPECT RATIO; CHANNEL FLOW; DISPERSION (WAVES); ELECTROLYTES; HEAT CONDUCTION; ION EXCHANGE; LIGHT POLARIZATION; MICROFLUIDICS; MIXING; PARALLEL FLOW;

EID: 84886285135     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2013.276     Document Type: Article
Times cited : (34)

References (40)
  • 2
    • 0001089439 scopus 로고
    • Asymptotic expansions for laminar forced-convection heat and mass transfer
    • ACRIVOS, A. & GODDARD, J. D. 1965 Asymptotic expansions for laminar forced-convection heat and mass transfer. J. Fluid Mech. 23, 273-291.
    • (1965) J. Fluid Mech. , vol.23 , pp. 273-291
    • Acrivos, A.1    Goddard, J.D.2
  • 3
    • 84894551978 scopus 로고
    • Neue Methode das Wärmeleitungsvermögen der Körper zu bestimmen
    • ÅNGSTRÖM, A. J. 1861 Neue Methode das Wä rmeleitungsvermögen der Körper zu bestimmen. Ann. Phys. Chem. 114, 513-530.
    • (1861) Ann. Phys. Chem. , vol.114 , pp. 513-530
    • Ångström, A.J.1
  • 4
    • 0002864183 scopus 로고
    • On the dispersion of a solute in a fluid flowing through a tube
    • ARIS, R. 1956 On the dispersion of a solute in a fluid flowing through a tube. Proc. R. Soc. Lond. A 235, 67-77.
    • (1956) Proc. R. Soc. Lond. A , vol.235 , pp. 67-77
    • Aris, R.1
  • 5
    • 0029104166 scopus 로고
    • Dispersion of chemical solutes in chromatographs and reactors
    • BALAKOTAIAH, V. & CHANG, H.-C. 1995 Dispersion of chemical solutes in chromatographs and reactors. Phil. Trans. Roy. Soc. Lond. A 351, 39-75.
    • (1995) Phil. Trans. Roy. Soc. Lond. A , vol.351 , pp. 39-75
    • Balakotaiah, V.1    Chang, H.-C.2
  • 6
    • 0012247573 scopus 로고    scopus 로고
    • Hyperbolic homogenized models for thermal and solutal dispersion
    • BALAKOTAIAH, V. & CHANG, H.-C. 2003 Hyperbolic homogenized models for thermal and solutal dispersion. SIAM J. Appl. Maths 63, 1231-1258.
    • (2003) SIAM J. Appl. Maths , vol.63 , pp. 1231-1258
    • Balakotaiah, V.1    Chang, H.-C.2
  • 7
    • 84974023501 scopus 로고
    • On steady laminar flow with closed streamlines at large Reynolds number
    • BATCHELOR, G. K. 1956 On steady laminar flow with closed streamlines at large Reynolds number. J. Fluid Mech. 1, 177-190.
    • (1956) J. Fluid Mech. , vol.1 , pp. 177-190
    • Batchelor, G.K.1
  • 8
    • 84886258774 scopus 로고    scopus 로고
    • Method and apparatus for desalination and purification
    • BAZANT, M. Z., DYDEK, E. V., DENG, D. S. & MANI, A. 2011 Method and apparatus for desalination and purification. US Patent Application 2011, 0308953.
    • (2011) US Patent Application , vol.2011 , pp. 0308953
    • Bazant, M.Z.1    Dydek, E.V.2    Deng, D.S.3    Mani, A.4
  • 9
    • 36749110717 scopus 로고
    • Partial-range completeness and existence of solutions to two-way diffusion equations
    • BEALS, R. 1981 Partial-range completeness and existence of solutions to two-way diffusion equations. J. Math. Phys. 22, 954-960.
    • (1981) J. Math. Phys. , vol.22 , pp. 954-960
    • Beals, R.1
  • 10
    • 0000860379 scopus 로고
    • Indefinite sturm-Liouville problems and half-range completeness
    • BEALS, R. 1985 Indefinite Sturm-Liouville problems and half-range completeness. J. Differ. Equ. 56, 391-407.
    • (1985) J. Differ. Equ. , vol.56 , pp. 391-407
    • Beals, R.1
  • 12
    • 84912932876 scopus 로고
    • Analytical and numerical studies of the structure of steady separated flows
    • BURGGRAF, O. 1966 Analytical and numerical studies of the structure of steady separated flows. J. Fluid Mech. 24, 113-151.
    • (1966) J. Fluid Mech. , vol.24 , pp. 113-151
    • Burggraf, O.1
  • 16
    • 14844296486 scopus 로고    scopus 로고
    • Convective and absolute electrokinetic instability with conductivity gradients
    • CHEN, C. H., LIN, H., LELE, S. K. & SANTIAGO, J. G. 2005 Convective and absolute electrokinetic instability with conductivity gradients. J. Fluid Mech. 524, 263-303.
    • (2005) J. Fluid Mech. , vol.524 , pp. 263-303
    • Chen, C.H.1    Lin, H.2    Lele, S.K.3    Santiago, J.G.4
  • 18
    • 84958445178 scopus 로고
    • Asymptotic expansions for laminar forced-convection heat and mass transfer. Part 2. Boundary-layer flows
    • GODDARD, J. D. & ACRIVOS, A. 1966 Asymptotic expansions for laminar forced-convection heat and mass transfer. Part 2. Boundary-layer flows. J. Fluid Mech. 24, 339-366.
    • (1966) J. Fluid Mech. , vol.24 , pp. 339-366
    • Goddard, J.D.1    Acrivos, A.2
  • 19
    • 84980055154 scopus 로고
    • Über die War̈meleitungsfaḧigkeit von Flus̈sigkeiten
    • GRAETZ, L. 1882 Über die War̈meleitungsfaḧigkeit von Flus̈sigkeiten. Ann. Phys. 254, 79-94.
    • (1882) Ann. Phys. , vol.254 , pp. 79-94
    • Graetz, L.1
  • 20
    • 77950809846 scopus 로고    scopus 로고
    • Direct seawater desalination by ion concentration polarization
    • KIM, S. J., KO, S. H., KANG, K. H. & HAN, J. 2010 Direct seawater desalination by ion concentration polarization. Nat. Nanotech. 5, 297-301.
    • (2010) Nat. Nanotech. , vol.5 , pp. 297-301
    • Kim, S.J.1    Ko, S.H.2    Kang, K.H.3    Han, J.4
  • 21
    • 84870939791 scopus 로고    scopus 로고
    • Multi-vortical flow inducing electrokinetic instability in ion concentration polarization layer
    • KIM, S. J., KO, S. H., KWAK, R., POSNER, J. D., KANG, K. H. & HAN, J. 2012 Multi-vortical flow inducing electrokinetic instability in ion concentration polarization layer. Nanoscale 4, 7406-7410.
    • (2012) Nanoscale , vol.4 , pp. 7406-7410
    • Kim, S.J.1    Ko, S.H.2    Kwak, R.3    Posner, J.D.4    Kang, K.H.5    Han, J.6
  • 23
    • 2942635368 scopus 로고    scopus 로고
    • Instability of electrokinetic microchannel flows with conductivity gradients
    • LIN, H., STOREY, B., ODDY, M., CHEN, C. H. & SANTIAGO, J. G. 2004 Instability of electrokinetic microchannel flows with conductivity gradients. Phys. Fluids 16, 1922-1935.
    • (2004) Phys. Fluids , vol.16 , pp. 1922-1935
    • Lin, H.1    Storey, B.2    Oddy, M.3    Chen, C.H.4    Santiago, J.G.5
  • 24
    • 84855290024 scopus 로고    scopus 로고
    • Deionization shocks in microstructures
    • MANI, A. & BAZANT, M. Z. 2011 Deionization shocks in microstructures. Phys. Rev. E 84, 061504.
    • (2011) Phys. Rev. e , vol.84 , pp. 061504
    • Mani, A.1    Bazant, M.Z.2
  • 25
    • 65249173021 scopus 로고    scopus 로고
    • On the propagation of concentration polarization from microchannel-nanochannel interfaces. Part 1. Analytical model and characteristic analysis
    • MANI, A., ZANGLE, T. A. & SANTIAGO, J. G. 2009 On the propagation of concentration polarization from microchannel-nanochannel interfaces. Part 1. Analytical model and characteristic analysis. Langmuir 25, 3898-3908.
    • (2009) Langmuir , vol.25 , pp. 3898-3908
    • Mani, A.1    Zangle, T.A.2    Santiago, J.G.3
  • 26
    • 0001712854 scopus 로고
    • An analytical study of laminar counterflow double-pipe heat exchangers
    • NUNGE, R. J. & GILL, W. N. 1966 An analytical study of laminar counterflow double-pipe heat exchangers. AIChE J. 12, 279-289.
    • (1966) AIChE J. , vol.12 , pp. 279-289
    • Nunge, R.J.1    Gill, W.N.2
  • 27
    • 0343549201 scopus 로고
    • Heat transfer at high Péclet numbers in regions of closed streamlines
    • PAN, F. U. & ACRIVOS, A. 1968 Heat transfer at high Péclet numbers in regions of closed streamlines. Intl J. Heat Mass Transfer 11, 439-444.
    • (1968) Intl J. Heat Mass Transfer , vol.11 , pp. 439-444
    • Pan, F.U.1    Acrivos, A.2
  • 28
    • 0001987016 scopus 로고
    • Über Flus̈sigkeitsbewegung bei sehr kleiner Reibung
    • 8-13 Aug. 1904, B. G. Teubner
    • PRANDTL, L. 1905 Über Flus̈sigkeitsbewegung bei sehr kleiner Reibung. In Verhandlungen d. III. Internat. Math. Kongr. Heidelberg, 8-13 Aug. 1904, pp. 484-491. B. G. Teubner.
    • (1905) Verhandlungen D. III. Internat. Math. Kongr. Heidelberg , pp. 484-491
    • Prandtl, L.1
  • 29
    • 37049105199 scopus 로고
    • Voltage against current curves of cation exchange membranes
    • RUBINSTEIN, I. & SHTILMAN, L. 1979 Voltage against current curves of cation exchange membranes. J. Chem. Soc. Faraday Trans. 75, 231-246.
    • (1979) J. Chem. Soc. Faraday Trans. , vol.75 , pp. 231-246
    • Rubinstein, I.1    Shtilman, L.2
  • 30
    • 0034238668 scopus 로고    scopus 로고
    • Electro-osmotically induced convection at a permselective membrane
    • RUBINSTEIN, I. & ZALTZMAN, B. 2000 Electro-osmotically induced convection at a permselective membrane. Phys. Rev. E 62, 2238-2251.
    • (2000) Phys. Rev. e , vol.62 , pp. 2238-2251
    • Rubinstein, I.1    Zaltzman, B.2
  • 31
    • 77954010167 scopus 로고    scopus 로고
    • Dynamics of extended space charge in concentration polarization
    • RUBINSTEIN, I. & ZALTZMAN, B. 2010 Dynamics of extended space charge in concentration polarization. Phys. Rev. E 81, 061502.
    • (2010) Phys. Rev. e , vol.81 , pp. 061502
    • Rubinstein, I.1    Zaltzman, B.2
  • 32
    • 1542380803 scopus 로고    scopus 로고
    • Experimental verification of the electroosmotic mechanism of overlimiting conductance through a cation exchange electrodialysis membrane
    • RUBINSTEIN, I., ZALTZMAN, B., PRETZ, J. & LINDER, C. 2002 Experimental verification of the electroosmotic mechanism of overlimiting conductance through a cation exchange electrodialysis membrane. Russ. Electrochem. 38, 853-864.
    • (2002) Russ. Electrochem. , vol.38 , pp. 853-864
    • Rubinstein, I.1    Zaltzman, B.2    Pretz, J.3    Linder, C.4
  • 35
    • 0033103240 scopus 로고    scopus 로고
    • Dispersion in flows with streamwise variations of mean velocity: Radial flow
    • STONE, H. A. & BRENNER, H. 1999 Dispersion in flows with streamwise variations of mean velocity: radial flow. Ind. Engng Chem. Res. 38, 851-854.
    • (1999) Ind. Engng Chem. Res. , vol.38 , pp. 851-854
    • Stone, H.A.1    Brenner, H.2
  • 36
    • 0003381083 scopus 로고
    • Dispersion of soluble matter in solvent flowing slowly through a tube
    • TAYLOR, G. I. 1953 Dispersion of soluble matter in solvent flowing slowly through a tube. Proc. R. Soc. Lond. A 219, 186-203.
    • (1953) Proc. R. Soc. Lond. A , vol.219 , pp. 186-203
    • Taylor, G.I.1
  • 37
    • 80052472120 scopus 로고    scopus 로고
    • Coupled concentration polarization and electroosmotic circulation near micro/nanointerfaces: Taylor-Aris model of hydrodynamic dispersion and limits of its applicability
    • YAROSHCHUK, A., ZHOLKOVSKIY, E., POGODIN, S. & BAULIN, V. 2011 Coupled concentration polarization and electroosmotic circulation near micro/nanointerfaces: Taylor-Aris model of hydrodynamic dispersion and limits of its applicability. Langmuir 27, 11710-11721.
    • (2011) Langmuir , vol.27 , pp. 11710-11721
    • Yaroshchuk, A.1    Zholkovskiy, E.2    Pogodin, S.3    Baulin, V.4
  • 38
    • 57949116132 scopus 로고    scopus 로고
    • Selection of non-equilibrium overlimiting currents: Universal depletion layer formation dynamics and vortex instability
    • YOSSIFON, G. & CHANG, H. C. 2008 Selection of non-equilibrium overlimiting currents: universal depletion layer formation dynamics and vortex instability. Phys. Rev. Lett. 101, 254501.
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 254501
    • Yossifon, G.1    Chang, H.C.2
  • 39
    • 34547460274 scopus 로고    scopus 로고
    • Electro-osmotic slip and electroconvective instability
    • ZALTZMAN, B. & RUBINSTEIN, I. 2007 Electro-osmotic slip and electroconvective instability. J. Fluid Mech. 579, 173-226.
    • (2007) J. Fluid Mech. , vol.579 , pp. 173-226
    • Zaltzman, B.1    Rubinstein, I.2
  • 40
    • 65249086377 scopus 로고    scopus 로고
    • On the propagation of concentration polarization from microchannel-nanochannel interfaces. Part 2. Numerical and experimental study
    • ZANGLE, T. A., MANI, A. & SANTIAGO, J. G. 2009 On the propagation of concentration polarization from microchannel-nanochannel interfaces. Part 2. Numerical and experimental study. Langmuir 25, 3909-3916.
    • (2009) Langmuir , vol.25 , pp. 3909-3916
    • Zangle, T.A.1    Mani, A.2    Santiago, J.G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.