메뉴 건너뛰기




Volumn 65, Issue 11, 2010, Pages 3499-3507

Approximate residence time distribution of fully develop laminar flow in a straight rectangular channel

Author keywords

Convective transport; Dispersion; Laminar flow; Mixing; Rectangular channel; Residence time distribution

Indexed keywords

ANALYTICAL EVALUATION; APPROXIMATE EXPRESSIONS; ARBITRARY ASPECT RATIO; CONVECTIVE TRANSPORT; DIAMETER RATIO; EMPIRICAL MODEL; ENGINEERING APPLICATIONS; GAUSS HYPERGEOMETRIC FUNCTION; INFINITE SERIES; MICRO FLUIDIC APPLICATIONS; NEWTONIAN FLUIDS; PARALLEL PLATES; RECTANGULAR CHANNEL; RESIDENCE TIME DISTRIBUTIONS; RTD CURVES; SCHMIDT NUMBERS; SQUARE CHANNEL; VELOCITY PROFILES;

EID: 77951129716     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2010.02.047     Document Type: Article
Times cited : (29)

References (39)
  • 1
    • 64449083037 scopus 로고    scopus 로고
    • Numerical and experimental studies of mixing characteristics in a T-junction microchannel using residence-time distribution
    • Adeosun J.T., and Lawal A. Numerical and experimental studies of mixing characteristics in a T-junction microchannel using residence-time distribution. Chem. Eng. Sci. 64 (2009) 2422-2432
    • (2009) Chem. Eng. Sci. , vol.64 , pp. 2422-2432
    • Adeosun, J.T.1    Lawal, A.2
  • 4
    • 68749098585 scopus 로고    scopus 로고
    • Effect of microchannel aspect ratio on residence time distributions and the axial dispersion coefficient
    • Aubin J., Prat L., Xuereb C., and Gourdon C. Effect of microchannel aspect ratio on residence time distributions and the axial dispersion coefficient. Chem. Eng. Process. 48 (2009) 554-559
    • (2009) Chem. Eng. Process. , vol.48 , pp. 554-559
    • Aubin, J.1    Prat, L.2    Xuereb, C.3    Gourdon, C.4
  • 6
    • 36048995736 scopus 로고    scopus 로고
    • Modelling of the residence time distribution in micromixers
    • Bošković D., and Loebbecke S. Modelling of the residence time distribution in micromixers. Chem. Eng. J. 135S (2008) S138-S146
    • (2008) Chem. Eng. J. , vol.135 S
    • Bošković, D.1    Loebbecke, S.2
  • 7
    • 0000380978 scopus 로고
    • Distribution of reaction times for laminar flow in cylindrical reactors
    • Bosworth R.C.L. Distribution of reaction times for laminar flow in cylindrical reactors. Philos. Mag. 40 (1948) 847-862
    • (1948) Philos. Mag. , vol.40 , pp. 847-862
    • Bosworth, R.C.L.1
  • 8
    • 78049269056 scopus 로고    scopus 로고
    • Residence time in microchannels: comparison between channels with herringbone structures and a rectangular channel
    • 10.1016/j.cej.2009.07.023
    • Cantu-Perez A., Barrass S., and Gavriilidis A. Residence time in microchannels: comparison between channels with herringbone structures and a rectangular channel. Chem. Eng. J. (2009) 10.1016/j.cej.2009.07.023
    • (2009) Chem. Eng. J.
    • Cantu-Perez, A.1    Barrass, S.2    Gavriilidis, A.3
  • 9
    • 24444437044 scopus 로고
    • Continuous flow systems-distribution of residence times
    • Dankwerts P.V. Continuous flow systems-distribution of residence times. Chem. Eng. Sci. 2 (1953) 1-13
    • (1953) Chem. Eng. Sci. , vol.2 , pp. 1-13
    • Dankwerts, P.V.1
  • 10
    • 0037039750 scopus 로고    scopus 로고
    • Chromatographic explanation for the side-wall induced band broadening in pressure-driven and shear-driven flows through channels with a high aspect-ratio rectangular cross-section
    • Desmet G., and Baron G.V. Chromatographic explanation for the side-wall induced band broadening in pressure-driven and shear-driven flows through channels with a high aspect-ratio rectangular cross-section. J. Chromatogr. A 946 (2002) 51-58
    • (2002) J. Chromatogr. A , vol.946 , pp. 51-58
    • Desmet, G.1    Baron, G.V.2
  • 11
    • 0017899434 scopus 로고
    • Three-dimensional laminar dispersion in open and closed rectangular conduits
    • Doshi M.R., Daiya P.M., and Gill W.N. Three-dimensional laminar dispersion in open and closed rectangular conduits. Chem. Eng. Sci. 33 (1978) 795-804
    • (1978) Chem. Eng. Sci. , vol.33 , pp. 795-804
    • Doshi, M.R.1    Daiya, P.M.2    Gill, W.N.3
  • 13
    • 0004578096 scopus 로고    scopus 로고
    • Computing the hypergeometric function
    • (Source code available online at 〈http://physics.bk.psu.edu/codes/codes.html〉)
    • Forrey R.C. Computing the hypergeometric function. J. Comput. Phys. 137 (1997) 79-100. http://physics.bk.psu.edu/codes/codes.html (Source code available online at 〈http://physics.bk.psu.edu/codes/codes.html〉)
    • (1997) J. Comput. Phys. , vol.137 , pp. 79-100
    • Forrey, R.C.1
  • 14
    • 10344242984 scopus 로고    scopus 로고
    • Semi-empirical equations for residence time distributions in disperse systems-part 1: continuous phase
    • Ham J.-H., and Platzer B. Semi-empirical equations for residence time distributions in disperse systems-part 1: continuous phase. Chem. Eng. Technol. 27 (2004) 1172-1178
    • (2004) Chem. Eng. Technol. , vol.27 , pp. 1172-1178
    • Ham, J.-H.1    Platzer, B.2
  • 16
    • 0041506285 scopus 로고
    • Velocity profiles in ducts with rectangular cross sections
    • Holmes D.B., and Vermeulen J.R. Velocity profiles in ducts with rectangular cross sections. Chem. Eng. Sci. 23 (1968) 717-722
    • (1968) Chem. Eng. Sci. , vol.23 , pp. 717-722
    • Holmes, D.B.1    Vermeulen, J.R.2
  • 19
    • 40149097326 scopus 로고    scopus 로고
    • A novel method for determining residence time distribution in intricately structured microreactors
    • Lohse S., Kohnen B.T., Janasek D., Dittrich P.S., Franzke J., and Agar D.W. A novel method for determining residence time distribution in intricately structured microreactors. Lab Chip 8 (2008) 431-438
    • (2008) Lab Chip , vol.8 , pp. 431-438
    • Lohse, S.1    Kohnen, B.T.2    Janasek, D.3    Dittrich, P.S.4    Franzke, J.5    Agar, D.W.6
  • 20
    • 84998302712 scopus 로고
    • Hydrodynamic entrance lengths for ducts of arbitrary cross section
    • McComas S.T. Hydrodynamic entrance lengths for ducts of arbitrary cross section. ASME J. Basic Eng. 89 (1967) 847-850
    • (1967) ASME J. Basic Eng. , vol.89 , pp. 847-850
    • McComas, S.T.1
  • 21
    • 11144347960 scopus 로고    scopus 로고
    • Laminar liquid flow through silicon microchannels
    • Morini G.L. Laminar liquid flow through silicon microchannels. J. Fluids Eng. 126 (2004) 485-489
    • (2004) J. Fluids Eng. , vol.126 , pp. 485-489
    • Morini, G.L.1
  • 22
    • 0015484410 scopus 로고
    • Laminar flow in rectangular ducts: prediction of velocity profiles & friction factor
    • Natarajan N.M., and Lakshmanan S.M. Laminar flow in rectangular ducts: prediction of velocity profiles & friction factor. Ind. J. Technol. 10 (1972) 435-438
    • (1972) Ind. J. Technol. , vol.10 , pp. 435-438
    • Natarajan, N.M.1    Lakshmanan, S.M.2
  • 23
    • 0017419637 scopus 로고
    • The residence time distribution for laminar flow in helically coiled tubes
    • Nauman E.B. The residence time distribution for laminar flow in helically coiled tubes. Chem. Eng. Sci. 32 (1977) 287-293
    • (1977) Chem. Eng. Sci. , vol.32 , pp. 287-293
    • Nauman, E.B.1
  • 24
    • 49049091773 scopus 로고    scopus 로고
    • Residence time theory
    • Nauman E.B. Residence time theory. Ind. Eng. Chem. Res. 47 (2008) 3752-3766
    • (2008) Ind. Eng. Chem. Res. , vol.47 , pp. 3752-3766
    • Nauman, E.B.1
  • 25
    • 0001744970 scopus 로고
    • Residence time distribution in straight and curved tubes
    • Cheremisinoff N.P. (Ed), Gulf Publishing Co., Houston
    • Nigam K.P.D., and Saxena A.K. Residence time distribution in straight and curved tubes. In: Cheremisinoff N.P. (Ed). Encyclopedia of Fluid Mechanics 1 (1986), Gulf Publishing Co., Houston 675-762
    • (1986) Encyclopedia of Fluid Mechanics 1 , pp. 675-762
    • Nigam, K.P.D.1    Saxena, A.K.2
  • 26
    • 77951111352 scopus 로고    scopus 로고
    • Oberhettinger, F., 1972. Hypergeometric functions, in: Abramowitz, M., Stegun, I.A. (Eds.), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Tenth Printing. National Bureau of Standards Applied Mathematical Series 55, GPO Bookstore, p. 558.
    • Oberhettinger, F., 1972. Hypergeometric functions, in: Abramowitz, M., Stegun, I.A. (Eds.), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Tenth Printing. National Bureau of Standards Applied Mathematical Series 55, GPO Bookstore, p. 558.
  • 29
    • 0020709116 scopus 로고
    • Laminar dispersion in helically coiled tubes of square cross section
    • Saxena A.K., and Nigam K.P.D. Laminar dispersion in helically coiled tubes of square cross section. Can. J. Chem. Eng. 61 (1983) 53-57
    • (1983) Can. J. Chem. Eng. , vol.61 , pp. 53-57
    • Saxena, A.K.1    Nigam, K.P.D.2
  • 31
    • 0017417978 scopus 로고
    • Turbulent mass transfer rates to a wall for large Schmidt numbers
    • Shaw D.A., and Hanratty T.J. Turbulent mass transfer rates to a wall for large Schmidt numbers. AIChE J. 23 (1977) 28-37
    • (1977) AIChE J. , vol.23 , pp. 28-37
    • Shaw, D.A.1    Hanratty, T.J.2
  • 32
    • 0028468927 scopus 로고
    • A symmetric solution for velocity profile in laminar flow through rectangular ducts
    • Spiga M., and Morini G.L. A symmetric solution for velocity profile in laminar flow through rectangular ducts. Int. Commun. Heat Mass Transfer 21 (1994) 469-475
    • (1994) Int. Commun. Heat Mass Transfer , vol.21 , pp. 469-475
    • Spiga, M.1    Morini, G.L.2
  • 33
    • 36148974700 scopus 로고    scopus 로고
    • Development of a fast sensor for the measurement of the residence time distribution of gas flow through microstructured reactors
    • Stief T., Schygulla U., Geider H., Langer O.-U., Anurjew E., and Brandner J. Development of a fast sensor for the measurement of the residence time distribution of gas flow through microstructured reactors. Chem. Eng. J. 135S (2008) S191-S198
    • (2008) Chem. Eng. J. , vol.135 S
    • Stief, T.1    Schygulla, U.2    Geider, H.3    Langer, O.-U.4    Anurjew, E.5    Brandner, J.6
  • 34
    • 22244478613 scopus 로고    scopus 로고
    • Measurement of residence time distribution in microfluidics systems
    • Trachsel F., Günther A., Khan S., and Jensen K.F. Measurement of residence time distribution in microfluidics systems. Chem. Eng. Sci. 60 (2005) 5729-5737
    • (2005) Chem. Eng. Sci. , vol.60 , pp. 5729-5737
    • Trachsel, F.1    Günther, A.2    Khan, S.3    Jensen, K.F.4
  • 35
    • 0016332594 scopus 로고
    • RTD for diffusion free laminar flow in helical coils
    • Trivedi R.N., and Vasudeva K. RTD for diffusion free laminar flow in helical coils. Chem. Eng. Sci. 29 (1974) 2291-2295
    • (1974) Chem. Eng. Sci. , vol.29 , pp. 2291-2295
    • Trivedi, R.N.1    Vasudeva, K.2
  • 36
    • 67649399003 scopus 로고    scopus 로고
    • Taylor dispersion in shallow micro-channels: aspect ratio effect
    • Vikhansky A. Taylor dispersion in shallow micro-channels: aspect ratio effect. Microfluid Nanofluid 7 (2009) 91-95
    • (2009) Microfluid Nanofluid , vol.7 , pp. 91-95
    • Vikhansky, A.1
  • 37
    • 77951132887 scopus 로고
    • Residence time distribution in laminar flow systems. II: non-Newtonian tubular flow
    • Wein O., and Ulbrecht J. Residence time distribution in laminar flow systems. II: non-Newtonian tubular flow. Collect. Czech. Chem. Commun. 37 (1972) 3240-3259
    • (1972) Collect. Czech. Chem. Commun. , vol.37 , pp. 3240-3259
    • Wein, O.1    Ulbrecht, J.2
  • 38
    • 52949111800 scopus 로고    scopus 로고
    • Experiments on the laminar/turbulent transition of liquid flows in rectangular microchannels
    • Wibel W., and Ehrhard P. Experiments on the laminar/turbulent transition of liquid flows in rectangular microchannels. Heat Transfer Eng. 30 (2009) 70-77
    • (2009) Heat Transfer Eng. , vol.30 , pp. 70-77
    • Wibel, W.1    Ehrhard, P.2
  • 39
    • 33845334817 scopus 로고    scopus 로고
    • A model for the residence time distribution of bubble train flow in a square mini-channel based on direct numerical simulation results
    • Wörner M., Ghidersa B., and Onea A. A model for the residence time distribution of bubble train flow in a square mini-channel based on direct numerical simulation results. Int. J. Heat Fluid Flow 28 (2007) 83-94
    • (2007) Int. J. Heat Fluid Flow , vol.28 , pp. 83-94
    • Wörner, M.1    Ghidersa, B.2    Onea, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.