메뉴 건너뛰기




Volumn 9, Issue 1, 1999, Pages 13-35

Bifurcation analysis of chemical reactors and reacting flows

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033096522     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166377     Document Type: Article
Times cited : (16)

References (53)
  • 1
    • 85000250562 scopus 로고
    • Spatially oscillatory steady states of tubular chemical reactors
    • Alexander, R. (1990). "Spatially oscillatory steady states of tubular chemical reactors," SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. 21, 137-153.
    • (1990) SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. , vol.21 , pp. 137-153
    • Alexander, R.1
  • 2
    • 49749170372 scopus 로고
    • An analysis of chemical reactor stability and control - I. The possibility of local control, with perfect or imperfect control mechanisms
    • Aris, R., and Amundson, N. R. (1958). "An analysis of chemical reactor stability and control - I. The possibility of local control, with perfect or imperfect control mechanisms," Chem. Eng. Sci. 7, 121-131.
    • (1958) Chem. Eng. Sci. , vol.7 , pp. 121-131
    • Aris, R.1    Amundson, N.R.2
  • 3
    • 0020304058 scopus 로고
    • Structure of steady-state solutions of lumped parameter chemically reacting systems
    • Balakotaiah, V., and Luss, D. (1982). "Structure of steady-state solutions of lumped parameter chemically reacting systems," Chem. Eng. Sci. 37, 1611-1623.
    • (1982) Chem. Eng. Sci. , vol.37 , pp. 1611-1623
    • Balakotaiah, V.1    Luss, D.2
  • 4
    • 0020882779 scopus 로고
    • Multiplicity features of reacting systems: Dependence of the steady-states of a CSTR on residence time
    • Balakotaiah, V., and Luss, D. (1983). "Multiplicity features of reacting systems: Dependence of the steady-states of a CSTR on residence time," Chem. Eng. Sci. 38, 1709-1721.
    • (1983) Chem. Eng. Sci. , vol.38 , pp. 1709-1721
    • Balakotaiah, V.1    Luss, D.2
  • 5
    • 0021300466 scopus 로고
    • Global analysis of the multiplicity features of multi-reaction lumped parameter systems
    • Balakotaiah, V., and Luss, D. (1984). "Global analysis of the multiplicity features of multi-reaction lumped parameter systems," Chem. Eng. Sci. 39, 865-881.
    • (1984) Chem. Eng. Sci. , vol.39 , pp. 865-881
    • Balakotaiah, V.1    Luss, D.2
  • 6
    • 0000925254 scopus 로고
    • Steady state multiplicity analysis of lumped-parameter systems described by a set of algebraic equations
    • Balakotaiah, V., Luss, D., and Keyfitz, B. L. (1985). "Steady state multiplicity analysis of lumped-parameter systems described by a set of algebraic equations," Chem. Eng. Commun. 36, 121-147.
    • (1985) Chem. Eng. Commun. , vol.36 , pp. 121-147
    • Balakotaiah, V.1    Luss, D.2    Keyfitz, B.L.3
  • 7
    • 0003217679 scopus 로고
    • Steady-state multiplicity features of lumped parameter chemical reacting systems
    • edited by V. Hlavacek (Gordon and Breach, New York)
    • Balakotaiah, V., and Luss, D. (1986). "Steady-state multiplicity features of lumped parameter chemical reacting systems," in Dynamics of Nonlinear Systems, edited by V. Hlavacek (Gordon and Breach, New York).
    • (1986) Dynamics of Nonlinear Systems
    • Balakotaiah, V.1    Luss, D.2
  • 8
    • 0023831491 scopus 로고
    • Global mapping of parameter regions with a specific number of solutions
    • Balakotaiah, V., and Luss, D. (1988). "Global mapping of parameter regions with a specific number of solutions," Chem. Eng. Sci. 43, 957-964.
    • (1988) Chem. Eng. Sci. , vol.43 , pp. 957-964
    • Balakotaiah, V.1    Luss, D.2
  • 9
    • 0029104166 scopus 로고
    • Dispersion of chemical solutes in chromatographs and reactors
    • Balakotaiah, V., and Chang, C. (1995). "Dispersion of chemical solutes in chromatographs and reactors," Philos. Trans. R. Soc. London, Ser. A 351, 1-37.
    • (1995) Philos. Trans. R. Soc. London, Ser. A , vol.351 , pp. 1-37
    • Balakotaiah, V.1    Chang, C.2
  • 10
    • 0033150624 scopus 로고    scopus 로고
    • Effective models for packed-bed catalytic reactors
    • to appear
    • Balakotaiah, V., and Dommeti, S. M. S. (1999). "Effective models for packed-bed catalytic reactors," (to appear in Chem. Eng. Sci.).
    • (1999) Chem. Eng. Sci.
    • Balakotaiah, V.1    Dommeti, S.M.S.2
  • 11
    • 0033150625 scopus 로고    scopus 로고
    • Transverse concentration and temperature nonuniformities in adiabatic packed-bed catalytic reactors
    • to appear
    • Balakotaiah, V., Christoforatou, E. L., and West, D. H. (1999). "Transverse concentration and temperature nonuniformities in adiabatic packed-bed catalytic reactors," (to appear in Chem. Eng. Sci.).
    • (1999) Chem. Eng. Sci.
    • Balakotaiah, V.1    Christoforatou, E.L.2    West, D.H.3
  • 13
    • 0009433467 scopus 로고
    • Steady-state mode 1 interactions in the presence of O(2) symmetry and in non-flux boundary value problems
    • American Mathematical Society, Providence, RI
    • Dangelmayr, G., and Armbruster, D. (1986). "Steady-state mode 1 interactions in the presence of O(2) symmetry and in non-flux boundary value problems, in Multiparameter Bifurcation Theory (American Mathematical Society, Providence, RI).
    • (1986) Multiparameter Bifurcation Theory
    • Dangelmayr, G.1    Armbruster, D.2
  • 15
    • 0033103903 scopus 로고    scopus 로고
    • Analytical criteria for validity of pseudohomogeneous models of packed-bed catalytic reactors
    • to appear
    • Dommeti, S. M. S., Balakotaiah, V., and West, D. H. (1999). "Analytical criteria for validity of pseudohomogeneous models of packed-bed catalytic reactors," (to appear in Ind. Eng. Chem. Res.).
    • (1999) Ind. Eng. Chem. Res.
    • Dommeti, S.M.S.1    Balakotaiah, V.2    West, D.H.3
  • 17
    • 0000116477 scopus 로고
    • A qualitative study of the steady-state solutions for a continuous flow stirred tank chemical reactor
    • Golubitsky, M., and Keyfitz, B. L. (1980). "A qualitative study of the steady-state solutions for a continuous flow stirred tank chemical reactor," SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. 11, 316-339.
    • (1980) SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. , vol.11 , pp. 316-339
    • Golubitsky, M.1    Keyfitz, B.L.2
  • 20
    • 0014724136 scopus 로고
    • Modeling of chemical reactors XVI - Steady state axial heat and mass transfer in tubular reactors: An analysis of the uniqueness of solutions
    • Hlavacek, V., and Hoffmann, H. (1970). "Modeling of chemical reactors XVI - Steady state axial heat and mass transfer in tubular reactors: An analysis of the uniqueness of solutions," Chem. Eng. Sci. 25, 173-185.
    • (1970) Chem. Eng. Sci. , vol.25 , pp. 173-185
    • Hlavacek, V.1    Hoffmann, H.2
  • 21
    • 33646665146 scopus 로고
    • Chaos and complex oscillations in stirred chemical reactors
    • edited by V. Hlavacek (Gordon and Breach, New York)
    • Hudson, J. L., and Rössler, O. E. (1986). "Chaos and complex oscillations in stirred chemical reactors," in Dynamics of Nonlinear Systems, edited by V. Hlavacek (Gordon and Breach, New York).
    • (1986) Dynamics of Nonlinear Systems
    • Hudson, J.L.1    Rössler, O.E.2
  • 22
    • 0013731327 scopus 로고
    • The bifurcation behavior of tubular reactors
    • Jensen, K. F., and Ray, W. H. (1982). "The bifurcation behavior of tubular reactors," Chem. Eng. Sci. 37, 199-222.
    • (1982) Chem. Eng. Sci. , vol.37 , pp. 199-222
    • Jensen, K.F.1    Ray, W.H.2
  • 23
    • 0031212379 scopus 로고    scopus 로고
    • Mapping regions with different bifurcation diagrams of a reverse-flow reactor
    • Khinast, J., and Luss, D. (1997). "Mapping regions with different bifurcation diagrams of a reverse-flow reactor," AIChE. J. 43, 2034-2047.
    • (1997) AIChE. J. , vol.43 , pp. 2034-2047
    • Khinast, J.1    Luss, D.2
  • 24
    • 0032078989 scopus 로고    scopus 로고
    • Complex dynamic features of a cooled reverse-flow reactor
    • Khinast, J., Gurumoorthy, A., and Luss, D. (1998). "Complex dynamic features of a cooled reverse-flow reactor," AIChE. J. 44, 1128-1140.
    • (1998) AIChE. J. , vol.44 , pp. 1128-1140
    • Khinast, J.1    Gurumoorthy, A.2    Luss, D.3
  • 27
    • 0026617171 scopus 로고
    • Multiplicity features of adiabatic autothermal reactors
    • Lovo, M., and Balakotaiah, V. (1992). "Multiplicity features of adiabatic autothermal reactors," AIChE. J. 38, 101-115.
    • (1992) AIChE. J. , vol.38 , pp. 101-115
    • Lovo, M.1    Balakotaiah, V.2
  • 29
    • 0342483552 scopus 로고    scopus 로고
    • Reverse flow operation in fixed bed catalytic reactors
    • Matros, Y. S., and Bunimovich, G. A. (1996). "Reverse flow operation in fixed bed catalytic reactors," Catal. Rev. Sci. Eng. 38, 1-68.
    • (1996) Catal. Rev. Sci. Eng. , vol.38 , pp. 1-68
    • Matros, Y.S.1    Bunimovich, G.A.2
  • 30
    • 0025567096 scopus 로고
    • A center manifold description of contaminant dispersion in channels with varying flow properties
    • Mercer, G. N., and Roberts, A. J. (1990). "A center manifold description of contaminant dispersion in channels with varying flow properties," SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. 50, 1547-1565.
    • (1990) SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. , vol.50 , pp. 1547-1565
    • Mercer, G.N.1    Roberts, A.J.2
  • 31
    • 0009390981 scopus 로고
    • Reactor steady-state multiplicity and stability
    • edited by J. J. Carberry and A. Varma (Marcel Dekker, Inc., New York)
    • Morbidelli, M., Varma, A., and Aris, R. (1987). "Reactor steady-state multiplicity and stability," in Chemical Reaction and Reactor Engineering, edited by J. J. Carberry and A. Varma (Marcel Dekker, Inc., New York).
    • (1987) Chemical Reaction and Reactor Engineering
    • Morbidelli, M.1    Varma, A.2    Aris, R.3
  • 32
    • 0009424246 scopus 로고
    • The effect of flow velocity on ignition and extinction in homogeneous-heterogeneous combustion
    • Olsen, R. J., Schmidt, L. D., and Aris, R. (1994). "The effect of flow velocity on ignition and extinction in homogeneous-heterogeneous combustion," Combust. Sci. Technol. 99, 377-392.
    • (1994) Combust. Sci. Technol. , vol.99 , pp. 377-392
    • Olsen, R.J.1    Schmidt, L.D.2    Aris, R.3
  • 33
    • 84951885689 scopus 로고
    • Dynamic behavior of continuous stirred-tank reactors with extraneous thermal capacitance
    • American Mathematical Society, Providence, RI
    • Planeaux, J., Jensen, K. F., and Fan, W. W. (1986). "Dynamic behavior of continuous stirred-tank reactors with extraneous thermal capacitance," in Reacting Flows: Combustion and Chemical Reactors (American Mathematical Society, Providence, RI).
    • (1986) Reacting Flows: Combustion and Chemical Reactors
    • Planeaux, J.1    Jensen, K.F.2    Fan, W.W.3
  • 34
    • 0015727833 scopus 로고
    • A model equation arising from chemical reactor theory
    • Poore, A. B. (1973). "A model equation arising from chemical reactor theory," Arch. Ration. Mech. Anal. 52, 358-388.
    • (1973) Arch. Ration. Mech. Anal. , vol.52 , pp. 358-388
    • Poore, A.B.1
  • 35
    • 0023021034 scopus 로고
    • Multiplicities and instabilities in chemically reacting systems - A review
    • Razón, L. F., and Schmitz, R. A. (1987). "Multiplicities and instabilities in chemically reacting systems - A review," Chem. Eng. Sci. 42, 1005-1047.
    • (1987) Chem. Eng. Sci. , vol.42 , pp. 1005-1047
    • Razón, L.F.1    Schmitz, R.A.2
  • 36
    • 11944257714 scopus 로고
    • Chemical instability induced by a differential flow
    • Rovinsky, A. B., and Menzinger, M. (1992). "Chemical instability induced by a differential flow," Phys. Rev. Lett. 69, 1193-1196.
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 1193-1196
    • Rovinsky, A.B.1    Menzinger, M.2
  • 37
    • 5244375340 scopus 로고
    • Self-organization induced by differential flow of activator and inhibitor
    • Rovinsky, A. B., and Menzinger, M. (1993). "Self-organization induced by differential flow of activator and inhibitor," Phys. Rev. Lett. 70, 778-781.
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 778-781
    • Rovinsky, A.B.1    Menzinger, M.2
  • 38
    • 0001112381 scopus 로고
    • Chemical oscillations, chaos, and fluctuations in flow reactors
    • Schneider, F. W., and Munster, A. F. (1991). "Chemical oscillations, chaos, and fluctuations in flow reactors," J. Phys. Chem. 95, 2130-2138.
    • (1991) J. Phys. Chem. , vol.95 , pp. 2130-2138
    • Schneider, F.W.1    Munster, A.F.2
  • 40
    • 0029379986 scopus 로고
    • One- and two-dimensional spatiotemporal thermal patterns in a fixed-bed reactor
    • Shvartsman, S., and Sheintuch, M. (1995). "One- and two-dimensional spatiotemporal thermal patterns in a fixed-bed reactor," Chem. Eng. Sci. 50, 3125-3141.
    • (1995) Chem. Eng. Sci. , vol.50 , pp. 3125-3141
    • Shvartsman, S.1    Sheintuch, M.2
  • 41
    • 0026136748 scopus 로고
    • Bifurcation behavior in homogeneous-heterogeneous combustion: II. Computation for stagnation-point flow
    • Song, X., Williams, W. R., Schmidt, L. D., and Aris, R. (1991). "Bifurcation behavior in homogeneous-heterogeneous combustion: II. Computation for stagnation-point flow," Combust. Flame 84, 292-311.
    • (1991) Combust. Flame , vol.84 , pp. 292-311
    • Song, X.1    Williams, W.R.2    Schmidt, L.D.3    Aris, R.4
  • 42
    • 0025545644 scopus 로고
    • On the number of steady states of the nonadiabatic tubular reactor
    • Stroh, F., Lovo, M., and Balakotaiah, V. (1990). "On the number of steady states of the nonadiabatic tubular reactor," AIChE. J. 36, 1905-1908.
    • (1990) AIChE. J. , vol.36 , pp. 1905-1908
    • Stroh, F.1    Lovo, M.2    Balakotaiah, V.3
  • 43
    • 84984116583 scopus 로고
    • Modeling of reaction-induced flow maldistributions in packed beds
    • Stroh, F., and Balakotaiah, V. (1991). "Modeling of reaction-induced flow maldistributions in packed beds," AIChE. J. 37, 1035-1052.
    • (1991) AIChE. J. , vol.37 , pp. 1035-1052
    • Stroh, F.1    Balakotaiah, V.2
  • 44
    • 0028112356 scopus 로고
    • Convective instabilities induced by exothermic reactions occurring in a porous medium
    • Subramanian, S., and Balakotaiah, V. (1994). "Convective instabilities induced by exothermic reactions occurring in a porous medium," Phys. Fluids 6, 2907-2922.
    • (1994) Phys. Fluids , vol.6 , pp. 2907-2922
    • Subramanian, S.1    Balakotaiah, V.2
  • 45
    • 0029310844 scopus 로고
    • Mode interactions in reaction-driven convection in a porous medium
    • Subramanian, S., and Balakotaiah, V. (1995). "Mode interactions in reaction-driven convection in a porous medium," Chem. Eng. Sci. 50, 1851-1866.
    • (1995) Chem. Eng. Sci. , vol.50 , pp. 1851-1866
    • Subramanian, S.1    Balakotaiah, V.2
  • 46
    • 0030087502 scopus 로고    scopus 로고
    • Classification of steady-state and dynamic behavior of distributed reactor models
    • Subramanian, S., and Balakotaiah, V. (1996). "Classification of steady-state and dynamic behavior of distributed reactor models," Chem. Eng. Sci. 51, 401-421.
    • (1996) Chem. Eng. Sci. , vol.51 , pp. 401-421
    • Subramanian, S.1    Balakotaiah, V.2
  • 47
    • 0031171525 scopus 로고    scopus 로고
    • Analysis and classification of reaction-driven stationary convective patterns in a porous medium
    • Subramanian, S., and Balakotaiah, V. (1997a). "Analysis and classification of reaction-driven stationary convective patterns in a porous medium," Phys. Fluids 9, 1674-1695.
    • (1997) Phys. Fluids , vol.9 , pp. 1674-1695
    • Subramanian, S.1    Balakotaiah, V.2
  • 48
    • 0031103302 scopus 로고    scopus 로고
    • Classification of steady-state and dynamic behavior of a well-mixed heterogeneous reactor model
    • Subramanian, S., and Balakotaiah, V. (1997b). "Classification of steady-state and dynamic behavior of a well-mixed heterogeneous reactor model," Chem. Eng. Sci. 52, 961-978.
    • (1997) Chem. Eng. Sci. , vol.52 , pp. 961-978
    • Subramanian, S.1    Balakotaiah, V.2
  • 49
    • 0016050013 scopus 로고
    • On the dynamic behavior of continuous stirred tank reactors
    • Uppal, A., Ray, W. H., and Poore, A. B. (1974). "On the dynamic behavior of continuous stirred tank reactors," Chem. Eng. Sci. 29, 967-985.
    • (1974) Chem. Eng. Sci. , vol.29 , pp. 967-985
    • Uppal, A.1    Ray, W.H.2    Poore, A.B.3
  • 51
    • 0028369941 scopus 로고
    • Differential-flow-induced pattern formation in the exothermic A→B reaction
    • Yakhnin, V. Z., Rovinsky, A. B., and Menzinger, M. (1994). "Differential-flow-induced pattern formation in the exothermic A→B reaction," J. Phys. Chem. 98, 2116-2119.
    • (1994) J. Phys. Chem. , vol.98 , pp. 2116-2119
    • Yakhnin, V.Z.1    Rovinsky, A.B.2    Menzinger, M.3
  • 52
    • 0030265370 scopus 로고    scopus 로고
    • Wave phenomena in the packed-bed reactor: Their relation to the differential-flow instability
    • Yakhnin, V. Z., Rovinsky, A. B., and Menzinger, M. (1996). "Wave phenomena in the packed-bed reactor: Their relation to the differential-flow instability," Can. J. Chem. Eng. 74, 647-650.
    • (1996) Can. J. Chem. Eng. , vol.74 , pp. 647-650
    • Yakhnin, V.Z.1    Rovinsky, A.B.2    Menzinger, M.3
  • 53
    • 0001356061 scopus 로고
    • On the theory of the heat release rate from chemical reactions in streams
    • Zeldovich, Ya. B., and Zysin, Y. A. (1941). "On the theory of the heat release rate from chemical reactions in streams," Zh. Tekh. Fiz. 11, 501-508.
    • (1941) Zh. Tekh. Fiz. , vol.11 , pp. 501-508
    • Zeldovich, Ya.B.1    Zysin, Y.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.