메뉴 건너뛰기




Volumn 42, Issue 11, 1996, Pages 3133-3145

Wave Model for Longitudinal Dispersion: Application to the Laminar-Flow Tubular Reactor

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CHEMICAL REACTORS; COMPOSITION EFFECTS; LAMINAR FLOW; MATHEMATICAL MODELS; NUMERICAL METHODS; REACTION KINETICS;

EID: 0030295020     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690421113     Document Type: Article
Times cited : (12)

References (58)
  • 1
    • 0000746069 scopus 로고
    • Laminar Dispersion in Capillaries: Part I. Mathematical Analysis
    • Ananthakrishnan, V., W. N. Gill, and A. J. Barduhn, "Laminar Dispersion in Capillaries: Part I. Mathematical Analysis," AIChE J., 11, 1063 (1965).
    • (1965) AIChE J. , vol.11 , pp. 1063
    • Ananthakrishnan, V.1    Gill, W.N.2    Barduhn, A.J.3
  • 2
    • 0002864183 scopus 로고
    • On the Dispersion of Solute in a Fluid Flowing Through a Tube
    • Aris, R., "On the Dispersion of Solute in a Fluid Flowing Through a Tube," Proc. Roy. Soc. London, 235A, 67 (1956).
    • (1956) Proc. Roy. Soc. London , vol.235 A , pp. 67
    • Aris, R.1
  • 3
    • 2542470920 scopus 로고
    • Numerical and Experimental Results on the Dispersion of a Solute in a Fluid in Laminar Flow Through a Tube
    • Bailey, H. R., and W. B. Gogarty, "Numerical and Experimental Results on the Dispersion of a Solute in a Fluid in Laminar Flow Through a Tube," Proc. Roy. Soc. London, 269A, 352 (1962).
    • (1962) Proc. Roy. Soc. London , vol.269 A , pp. 352
    • Bailey, H.R.1    Gogarty, W.B.2
  • 4
    • 0020497230 scopus 로고
    • On the Method of Moments for Solute Dispersion
    • Barton, N. G., "On the Method of Moments for Solute Dispersion," J. Fluid Mech., 126, 205 (1983).
    • (1983) J. Fluid Mech. , vol.126 , pp. 205
    • Barton, N.G.1
  • 5
    • 0022679244 scopus 로고
    • Solute Dispersion and Weak Second-Order Recombination at Large Times in Parallel Flow
    • Barton, N. G., "Solute Dispersion and Weak Second-Order Recombination at Large Times in Parallel Flow," J. Fluid Mech., 164, 289 (1986).
    • (1986) J. Fluid Mech. , vol.164 , pp. 289
    • Barton, N.G.1
  • 6
    • 84984083420 scopus 로고
    • Accuracy of the Axial Dispersion Models for Chemical Reactors
    • Bischoff, K. B., "Accuracy of the Axial Dispersion Models for Chemical Reactors," AIChE J., 14, 820 (1968).
    • (1968) AIChE J. , vol.14 , pp. 820
    • Bischoff, K.B.1
  • 7
    • 0017915053 scopus 로고
    • Axial Dispersion Models for Steady-State, Laminar, Open-Tube Systems
    • Carbonell, R. G., and B. J. McCoy, "Axial Dispersion Models for Steady-State, Laminar, Open-Tube Systems," Chem. Eng. Commun., 2, 189 (1978).
    • (1978) Chem. Eng. Commun. , vol.2 , pp. 189
    • Carbonell, R.G.1    McCoy, B.J.2
  • 8
    • 0014835865 scopus 로고
    • The Approach to Normality of the Concentration Distribution of a Solute in a Solvent Flowing Along a Straight Pipe
    • 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., 43, 321 (1970).
    • (1970) J. Fluid Mech. , vol.43 , pp. 321
    • Chatwin, P.C.1
  • 9
    • 0002364605 scopus 로고
    • The Initial Development of Longitudinal Dispersion in Straight Tubes
    • Chatwin, P. C., "The Initial Development of Longitudinal Dispersion in Straight Tubes," J. Fluid Mech., Part 1, 80, 33 (1977).
    • (1977) J. Fluid Mech., Part 1 , vol.80 , pp. 33
    • Chatwin, P.C.1
  • 10
    • 84984082807 scopus 로고
    • Diffusion and Reaction in Viscous-Flow Tubular Reactor
    • Cleland, F. A., and R. H. Wilhelm, "Diffusion and Reaction in Viscous-Flow Tubular Reactor," AIChE J., 2, 489 (1956).
    • (1956) AIChE J. , vol.2 , pp. 489
    • Cleland, F.A.1    Wilhelm, R.H.2
  • 11
    • 24444437044 scopus 로고
    • Continuous Flow System. Distribution of Residence Times
    • Danckwerts, P. V., "Continuous Flow System. Distribution of Residence Times," Chem. Eng. Sci., 2, 1 (1953).
    • (1953) Chem. Eng. Sci. , vol.2 , pp. 1
    • Danckwerts, P.V.1
  • 12
    • 0018048367 scopus 로고
    • Mass Transfer with Axial Diffusion and Chemical Reaction
    • Dang, V. D., "Mass Transfer with Axial Diffusion and Chemical Reaction," Chem. Eng. Sci., 33, 1179 (1978).
    • (1978) Chem. Eng. Sci. , vol.33 , pp. 1179
    • Dang, V.D.1
  • 13
    • 2542529042 scopus 로고
    • Laminar Flow Mass Transfer with Axial Diffusion in a Tube with Chemical Reaction
    • Dang, V. D., and M. Steinberg, "Laminar Flow Mass Transfer with Axial Diffusion in a Tube with Chemical Reaction," Chem. Eng. Sci., 32, 326 (1977).
    • (1977) Chem. Eng. Sci. , vol.32 , pp. 326
    • Dang, V.D.1    Steinberg, M.2
  • 14
    • 84984145896 scopus 로고
    • On the Construction of Dispersion Approximation to the Solution of the Convective Diffusion Equation
    • DeGance, A. E., and L. E. Johns, "On the Construction of Dispersion Approximation to the Solution of the Convective Diffusion Equation," AIChE J., 26, 411 (1980).
    • (1980) AIChE J. , vol.26 , pp. 411
    • Degance, A.E.1    Johns, L.E.2
  • 16
    • 84984081844 scopus 로고
    • Dispersion in Laminar Flow by Simultaneous Convection and Diffusion
    • Farrel, M. A., and E. F. Leonard, "Dispersion in Laminar Flow by Simultaneous Convection and Diffusion," AIChE J., 9, 190 (1963).
    • (1963) AIChE J. , vol.9 , pp. 190
    • Farrel, M.A.1    Leonard, E.F.2
  • 17
    • 0006890482 scopus 로고
    • Dispersion in Flow Through Small Tubes
    • Fife, P. C., and K. R. K. Nicholes, "Dispersion in Flow Through Small Tubes," Proc. Roy. Soc. London, 344A, 131 (1975).
    • (1975) Proc. Roy. Soc. London , vol.344 A , pp. 131
    • Fife, P.C.1    Nicholes, K.R.K.2
  • 19
    • 0242645797 scopus 로고
    • A Note on the Solution of Transient Dispersion Problems
    • Gill, W. N., "A Note on the Solution of Transient Dispersion Problems," Proc. Roy. Soc. London, 298A, 335 (1967).
    • (1967) Proc. Roy. Soc. London , vol.298 A , pp. 335
    • Gill, W.N.1
  • 20
    • 0016557750 scopus 로고
    • Unsteady Tubular Reactors - Time Variable Flow and Inlet Conditions
    • Gill, W. N., "Unsteady Tubular Reactors - Time Variable Flow and Inlet Conditions," Chem. Eng. Sci., 30, 1123 (1975).
    • (1975) Chem. Eng. Sci. , vol.30 , pp. 1123
    • Gill, W.N.1
  • 21
    • 84984082936 scopus 로고
    • Laminar Dispersion in Capillaries: Part IV. the Slug Stimulus
    • Gill, W. N., and V. Ananthakrishnan, "Laminar Dispersion in Capillaries: Part IV. The Slug Stimulus," AIChE J., 13, 801 (1967).
    • (1967) AIChE J. , vol.13 , pp. 801
    • Gill, W.N.1    Ananthakrishnan, V.2
  • 22
    • 0014894434 scopus 로고
    • Exact Analysis of Unsteady Convective Dispersion
    • Gill, W. N., and R. Sankarasubramanian, "Exact Analysis of Unsteady Convective Dispersion," Proc. Roy. Soc. London, 316A, 341 (1970).
    • (1970) Proc. Roy. Soc. London , vol.316 A , pp. 341
    • Gill, W.N.1    Sankarasubramanian, R.2
  • 23
    • 0011300760 scopus 로고
    • Dispersion of a Non-uniform Slug in Time-Dependent Flow
    • Gill, W. N., and R. Sankarasubramanian, "Dispersion of a Non-uniform Slug in Time-Dependent Flow," Proc. Roy. Soc. London, 322A. 101 (1971).
    • (1971) Proc. Roy. Soc. London , vol.322 A , pp. 101
    • Gill, W.N.1    Sankarasubramanian, R.2
  • 24
    • 0009626616 scopus 로고
    • Dispersion of Non-Uniformly Distributed Time-Variable Continuous Sources in Time-Dependent Flow
    • Gill, W. N., and R. Sankarasubramanian, "Dispersion of Non-Uniformly Distributed Time-Variable Continuous Sources in Time-Dependent Flow," Proc. Roy. Soc. London, 327A, 191 (1972).
    • (1972) Proc. Roy. Soc. London , vol.327 A , pp. 191
    • Gill, W.N.1    Sankarasubramanian, R.2
  • 25
    • 84987391141 scopus 로고
    • Approximation Methods to Evaluate the Effect of Axial Dispersion in Isothermal Flow Reactors
    • Houghton, G., "Approximation Methods to Evaluate the Effect of Axial Dispersion in Isothermal Flow Reactors,"Can. J. Chem. Eng., 40, 188 (1962).
    • (1962) Can. J. Chem. Eng. , vol.40 , pp. 188
    • Houghton, G.1
  • 26
    • 0021425416 scopus 로고
    • Shear Dispersion and Residence Time for Laminar Flow in Capillary Tubes
    • Houseworth, J. E., "Shear Dispersion and Residence Time for Laminar Flow in Capillary Tubes," J. Fluid Mech., 142, 289 (1984).
    • (1984) J. Fluid Mech. , vol.142 , pp. 289
    • Houseworth, J.E.1
  • 27
    • 0000546780 scopus 로고
    • A Method of Solution for Mass Transfer with Chemical Reaction under Conditions of Viscous Flow in a Tubular Reactor
    • Hsu, C.-J., "A Method of Solution for Mass Transfer with Chemical Reaction Under Conditions of Viscous Flow in a Tubular Reactor," AIChE J., 11, 938 (1965).
    • (1965) AIChE J. , vol.11 , pp. 938
    • Hsu, C.-J.1
  • 28
    • 0024714398 scopus 로고
    • An Experimental Study of the Dispersion in Laminar Tube Flow
    • Korenaga, T., F. Shen, and T. Takahashi, "An Experimental Study of the Dispersion in Laminar Tube Flow," AIChE J., 35, 1395 (1989).
    • (1989) AIChE J. , vol.35 , pp. 1395
    • Korenaga, T.1    Shen, F.2    Takahashi, T.3
  • 29
    • 0018152441 scopus 로고
    • On the Physical Meaning of the Dispersion Equation and its Solutions for Different Initial and Boundary Conditions
    • Kreft, A., and A. Zuber, "On the Physical Meaning of the Dispersion Equation and its Solutions for Different Initial and Boundary Conditions," Chem. Eng. Sci., 33, 1471 (1978).
    • (1978) Chem. Eng. Sci. , vol.33 , pp. 1471
    • Kreft, A.1    Zuber, A.2
  • 30
    • 84984302627 scopus 로고
    • On the Models for Laminar Flow Tubular Reactor
    • Kulkarni, S. N., and K. Vasudeva, "On the Models for Laminar Flow Tubular Reactor," Can. J. Chem. Eng., 54, 238 (1976).
    • (1976) Can. J. Chem. Eng. , vol.54 , pp. 238
    • Kulkarni, S.N.1    Vasudeva, K.2
  • 31
    • 77958411488 scopus 로고
    • Initial Development of Diffusion in Poiseuille Flow
    • Lighthill, M. J., "Initial Development of Diffusion in Poiseuille Flow," J. Inst. Math. Its Appl. 2, 97 (1966).
    • (1966) J. Inst. Math. Its Appl. , vol.2 , pp. 97
    • Lighthill, M.J.1
  • 32
    • 0013362079 scopus 로고
    • Applicability of Axial Dispersion Model for Non-Newtonian Laminar Flow Tubular Reactors
    • Mashelkar, R. A., "Applicability of Axial Dispersion Model for Non-Newtonian Laminar Flow Tubular Reactors," Can. J. Chem. Eng., 51, 613 (1973).
    • (1973) Can. J. Chem. Eng. , vol.51 , pp. 613
    • Mashelkar, R.A.1
  • 33
    • 0019268386 scopus 로고
    • Numerical Simulation of Solute Dispersion in Laminar Tube Flow
    • Mayock, K. P., J. M. Tarbell, and J. L. Duda, "Numerical Simulation of Solute Dispersion in Laminar Tube Flow," Sep. Sci. Technol., 15, 1285 (1980).
    • (1980) Sep. Sci. Technol. , vol.15 , pp. 1285
    • Mayock, K.P.1    Tarbell, J.M.2    Duda, J.L.3
  • 34
    • 0016968090 scopus 로고
    • Transient Behaviour of a Non-Ideal Tubular Reactor
    • Nigam, K. D. P., and K. Vasudeva, "Transient Behaviour of a Non-Ideal Tubular Reactor," Can. Chem. Eng., 54, 203 (1976).
    • (1976) Can. Chem. Eng. , vol.54 , pp. 203
    • Nigam, K.D.P.1    Vasudeva, K.2
  • 35
    • 0010564506 scopus 로고
    • The Theory of Dispersal during Laminar Flow in Tubes: I and II
    • Philip, J. R., "The Theory of Dispersal During Laminar Flow in Tubes: I and II,"Aust. J. Phys., 16, 287 and 300 (1963).
    • (1963) Aust. J. Phys. , vol.16 , pp. 287
    • Philip, J.R.1
  • 36
    • 0024910970 scopus 로고
    • Dispersion in Laminar Flow in Short Tubes
    • Shankar, A., and A. M. Lenhoff, "Dispersion in Laminar Flow in Short Tubes," AIChE J., 35, 2048 (1989).
    • (1989) AIChE J. , vol.35 , pp. 2048
    • Shankar, A.1    Lenhoff, A.M.2
  • 37
    • 0019548711 scopus 로고
    • A Delay-Diffusion Description for Contaminant Dispersion
    • Smith, R., "A Delay-Diffusion Description for Contaminant Dispersion," J. Fluid Mech., 105, 469 (1981).
    • (1981) J. Fluid Mech. , vol.105 , pp. 469
    • Smith, R.1
  • 38
    • 0023288285 scopus 로고
    • Diffusion in Shear Flow Made Easy: The Taylor Limit
    • Smith, R., "Diffusion in Shear Flow Made Easy: The Taylor Limit," J. Fluid Mech., 175, 201 (1987a).
    • (1987) J. Fluid Mech. , vol.175 , pp. 201
    • Smith, R.1
  • 39
    • 0023414646 scopus 로고
    • Shear Dispersion Looked at from a New Angle
    • Smith, R., "Shear Dispersion Looked at From a New Angle," J. Fluid Mech., 182, 447 (1987b).
    • (1987) J. Fluid Mech. , vol.182 , pp. 447
    • Smith, R.1
  • 40
    • 0024627926 scopus 로고
    • Second-Order Recombination in a Parallel Shear Flow
    • Smith, R., "Second-Order Recombination in a Parallel Shear Flow," J. Fluid Mech., 200, 389 (1989).
    • (1989) J. Fluid Mech. , vol.200 , pp. 389
    • Smith, R.1
  • 41
    • 0025200147 scopus 로고
    • The Concentration Distribution Produced by Shear Dispersion of Solute in Poiseuille Flow
    • Stokes, A. N., and N. G. Barton, "The Concentration Distribution Produced by Shear Dispersion of Solute in Poiseuille Flow," J. Fluid Mech., 210, 201 (1990).
    • (1990) J. Fluid Mech. , vol.210 , pp. 201
    • Stokes, A.N.1    Barton, N.G.2
  • 43
    • 0025418175 scopus 로고
    • A Numerical Solution for the Dispersion in Laminar Flow Through a Circular Tube
    • Takahashi, T., T. Korenaga, and F. Shen, "A Numerical Solution for the Dispersion in Laminar Flow Through a Circular Tube," Can. J. Chem. Eng., 68, 191 (1990).
    • (1990) Can. J. Chem. Eng. , vol.68 , pp. 191
    • Takahashi, T.1    Korenaga, T.2    Shen, F.3
  • 44
    • 0003381083 scopus 로고
    • Dispersion of Soluble Matter in Solvent Flowing Slowly Through a Tube
    • Taylor, G., "Dispersion of Soluble Matter in Solvent Flowing Slowly Through a Tube," Proc. Roy. Soc. London, 219A, 186 (1953).
    • (1953) Proc. Roy. Soc. London , vol.219 A , pp. 186
    • Taylor, G.1
  • 45
    • 0014893658 scopus 로고
    • Dispersion of a Solute in a Fully Developed Laminar Tube Flow
    • Tseng, C. M., and R. W. Besant, "Dispersion of a Solute in a Fully Developed Laminar Tube Flow," Proc. Roy. Soc. London, A317, 91 (1970).
    • (1970) Proc. Roy. Soc. London , vol.A317 , pp. 91
    • Tseng, C.M.1    Besant, R.W.2
  • 46
    • 0015299736 scopus 로고
    • Transient Heat and Mass Transfer in Fully Developed Laminar Tube Flows
    • Tseng, C. M., and R. W. Besant, "Transient Heat and Mass Transfer in Fully Developed Laminar Tube Flows," Int. J. Heat Mass Transfer, 15, 203 (1972).
    • (1972) Int. J. Heat Mass Transfer , vol.15 , pp. 203
    • Tseng, C.M.1    Besant, R.W.2
  • 47
    • 2442752377 scopus 로고
    • Diffusion et Réaction Chimique dans un Réacteur Tubulaire en Régime Laminaire
    • Vignes, J. P., and P. J. Trambouze, "Diffusion et Réaction Chimique dans un Réacteur Tubulaire en Régime Laminaire," Chem. Eng. Sci., 17, 73 (1962).
    • (1962) Chem. Eng. Sci. , vol.17 , pp. 73
    • Vignes, J.P.1    Trambouze, P.J.2
  • 48
    • 0024069515 scopus 로고
    • Dispersion in Laminar Tube Flow at Low Peclet Numbers or Short Times
    • Vrentas, J. S., and C. M. Vrentas, "Dispersion in Laminar Tube Flow at Low Peclet Numbers or Short Times," AIChE J., 34, 1423 (1988).
    • (1988) AIChE J. , vol.34 , pp. 1423
    • Vrentas, J.S.1    Vrentas, C.M.2
  • 49
    • 0014762257 scopus 로고
    • On the Dispersion Approximation for Laminar Flow Reactors
    • Wan, C. G., and E. N. Ziegler, "On the Dispersion Approximation for Laminar Flow Reactors,"Chem. Eng. Sci., 25, 723 (1970).
    • (1970) Chem. Eng. Sci. , vol.25 , pp. 723
    • Wan, C.G.1    Ziegler, E.N.2
  • 50
    • 0020750486 scopus 로고
    • New Description of Dispersion in Flow Through Tubes: Convolution and Collocation Methods
    • Wang, J. C., and W. E. Stewart, "New Description of Dispersion in Flow Through Tubes: Convolution and Collocation Methods," AIChE J., 29, 493 (1983).
    • (1983) AIChE J. , vol.29 , pp. 493
    • Wang, J.C.1    Stewart, W.E.2
  • 51
    • 0024631639 scopus 로고
    • Multicomponent Reactive Dispersion in Tubes: Collocation vs. Radial Averaging
    • Wang, J. C., and W. E. Stewart, "Multicomponent Reactive Dispersion in Tubes: Collocation vs. Radial Averaging," AIChE J., 35, 490 (1989).
    • (1989) AIChE J. , vol.35 , pp. 490
    • Wang, J.C.1    Stewart, W.E.2
  • 52
    • 0029360935 scopus 로고
    • Wave Model for Longitudinal Dispersion: Development of the Model
    • Westerterp, K. R., V. V. Dil'man, and A. E. Kronberg, "Wave Model for Longitudinal Dispersion: Development of the Model," AIChE J., 41, 2013 (1995a).
    • (1995) AIChE J. , vol.41 , pp. 2013
    • Westerterp, K.R.1    Dil'man, V.V.2    Kronberg, A.E.3
  • 53
    • 0029360934 scopus 로고
    • Wave Model for Longitudinal Dispersion: Analysis and Applications
    • Westerterp, K. R., V. V. Dil'man, A. E. Kronberg, and A. H. Benneker, "Wave Model for Longitudinal Dispersion: Analysis and Applications," AIChE J., 41, 2029 (1995b).
    • (1995) AIChE J. , vol.41 , pp. 2029
    • Westerterp, K.R.1    Dil'man, V.V.2    Kronberg, A.E.3    Benneker, A.H.4
  • 54
    • 2542609693 scopus 로고
    • On the Functional Dependence of the Dispersion Vector for Scalar Transport in Porous Media
    • Whitaker, S., "On the Functional Dependence of the Dispersion Vector for Scalar Transport in Porous Media,"Chem. Eng. Sci., 26, 1893 (1971).
    • (1971) Chem. Eng. Sci. , vol.26 , pp. 1893
    • Whitaker, S.1
  • 55
    • 0007764811 scopus 로고
    • On the Applicability of the Taylor-Aris Axial Diffusion Model to Tubular Reactor Calculations
    • Wissler, E. H., "On the Applicability of the Taylor-Aris Axial Diffusion Model to Tubular Reactor Calculations," Chem. Eng. Sci., 24, 527 (1969).
    • (1969) Chem. Eng. Sci. , vol.24 , pp. 527
    • Wissler, E.H.1
  • 56
    • 0020704579 scopus 로고
    • Projection Operator Theoretical Approach to Unsteady Convective Diffusion Phenomena
    • Yamanaka, T., "Projection Operator Theoretical Approach to Unsteady Convective Diffusion Phenomena," J. Chem. Eng. Japan, 16, 29 (1983).
    • (1983) J. Chem. Eng. Japan , vol.16 , pp. 29
    • Yamanaka, T.1
  • 57
    • 84988587523 scopus 로고
    • Taylor Dispersion Model Involving Nonlinear Irreversible Reactions
    • Yamanaka, T., and S. Inui, "Taylor Dispersion Model Involving Nonlinear Irreversible Reactions," J. Chem. Eng. Japan, 27, 434 (1994).
    • (1994) J. Chem. Eng. Japan , vol.27 , pp. 434
    • Yamanaka, T.1    Inui, S.2
  • 58
    • 0019573247 scopus 로고
    • Dispersion in Laminar Flow Through Tubes by Simultaneous Diffusion and Convection
    • Yu, J. S., "Dispersion in Laminar Flow Through Tubes by Simultaneous Diffusion and Convection," J. Appl. Mech., 48, 217 (1981).
    • (1981) J. Appl. Mech. , vol.48 , pp. 217
    • Yu, J.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.