메뉴 건너뛰기




Volumn 20, Issue 1, 2008, Pages

Instability of a vertical chemical front: Effect of viscosity and density varying with concentration

Author keywords

Catalysis; Computational fluid dynamics; Finite difference methods; Flow instability; Flow through porous media; Runge Kutta methods

Indexed keywords

CHEMICALS; COMPUTATIONAL FLUID DYNAMICS; DENSITY (SPECIFIC GRAVITY); FINITE DIFFERENCE METHOD; LINEAR STABILITY ANALYSIS; NUMERICAL METHODS; POROUS MATERIALS; RUNGE KUTTA METHODS; VISCOSITY; VORTICITY;

EID: 38949096344     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2829081     Document Type: Article
Times cited : (8)

References (34)
  • 1
    • 34250022330 scopus 로고
    • "Channeling in packed columns"
    • CESCAC0009-250910.1016/0009-2509(52)87017-4
    • S. Hill, "Channeling in packed columns," Chem. Eng. Sci. CESCAC0009-250910.1016/0009-2509(52)87017-4 1, 247 (1952).
    • (1952) Chem. Eng. Sci. , vol.1 , pp. 247
    • Hill, S.1
  • 2
    • 0002482775 scopus 로고
    • "Numerical calculation of multidimensional miscible displacement"
    • SPEJAC0036-1844
    • D. W. Peaceman and H. H. Rachford, "Numerical calculation of multidimensional miscible displacement," SPE J. SPEJAC0036-1844 2, 327 (1962).
    • (1962) SPE J. , vol.2 , pp. 37
    • Peaceman, D.W.1    Rachford, H.H.2
  • 3
    • 0023450055 scopus 로고
    • "Detailed simulation of unstable processes in miscible flooding"
    • SREEEF0885-9248
    • M. A. Christie and D. J. Bond, "Detailed simulation of unstable processes in miscible flooding," SPE Reservoir Eng. SREEEF0885-9248 1, 514 (1987).
    • (1987) SPE Reservoir Eng. , vol.1 , pp. 54
    • Christie, M.A.1    Bond, D.J.2
  • 4
    • 84945200893 scopus 로고
    • "Simulation of nonlinear viscous fingering in miscible displacement"
    • PFLDAS0031-917110.1063/1.866726
    • C. T. Tan and G. M. Homsy, "Simulation of nonlinear viscous fingering in miscible displacement," Phys. Fluids PFLDAS0031-917110.1063/1.866726 31, 1330 (1988).
    • (1988) Phys. Fluids , vol.31 , pp. 1330
    • Tan, C.T.1    Homsy, G.M.2
  • 5
    • 0022533714 scopus 로고
    • "Stability of miscible displacements in porous media: Rectilinear flow"
    • PFLDAS0031-917110.1063/1.865832
    • C. T. Tan and G. M. Homsy, "Stability of miscible displacements in porous media: Rectilinear flow," Phys. Fluids PFLDAS0031-917110.1063/1.865832 29, 3549 (1986).
    • (1986) Phys. Fluids , vol.29 , pp. 3549
    • Tan, C.T.1    Homsy, G.M.2
  • 6
    • 0023242924 scopus 로고
    • "Viscous fingering in porous media"
    • ARVFA30066-4189
    • G. M. Homsy, "Viscous fingering in porous media," Annu. Rev. Fluid Mech. ARVFA30066-4189 19, 271 (1987).
    • (1987) Annu. Rev. Fluid Mech. , vol.19 , pp. 271
    • Homsy, G.M.1
  • 7
    • 0032621482 scopus 로고    scopus 로고
    • "Viscous fingering in reaction-diffusion systems"
    • JCPSA60021-960610.1063/1.478774
    • A. De Wit and G. M. Homsy, "Viscous fingering in reaction-diffusion systems," J. Chem. Phys. JCPSA60021-960610.1063/1.478774 110, 8663 (1999).
    • (1999) J. Chem. Phys. , vol.110 , pp. 8663
    • De Wit, A.1    Homsy, G.M.2
  • 8
    • 0342969659 scopus 로고    scopus 로고
    • "Nonlinear interactions of chemical reactions and viscous fingering in porous media"
    • PHFLE61070-663110.1063/1.869988
    • A. De Wit and G. M. Homsy, "Nonlinear interactions of chemical reactions and viscous fingering in porous media," Phys. Fluids PHFLE61070-663110.1063/1.869988 11, 949 (1999).
    • (1999) Phys. Fluids , vol.11 , pp. 949
    • De Wit, A.1    Homsy, G.M.2
  • 10
    • 85036298006 scopus 로고    scopus 로고
    • "Coarsening in the buoyancy-driven instability of a reaction diffusion front"
    • PLEEE81063-651X10.1103/PhysRevE.70.046302
    • M. Böckmann and S. C. Müller, "Coarsening in the buoyancy-driven instability of a reaction diffusion front," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.70.046302 70, 046302 (2004).
    • (2004) Phys. Rev. E , vol.70 , pp. 046302
    • Böckmann, M.1    Müller, S.C.2
  • 11
    • 0038065018 scopus 로고    scopus 로고
    • "Growth rates of the buoyancy-driven instability of an autocatalytic reaction front in a narrow cell"
    • PRLTAO0031-900710.1103/PhysRevLett.85.2506
    • M. Böckmann and S. C. Müller, "Growth rates of the buoyancy-driven instability of an autocatalytic reaction front in a narrow cell," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.85.2506 85, 2506 (2000).
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 2506
    • Böckmann, M.1    Müller, S.C.2
  • 12
    • 0000507968 scopus 로고    scopus 로고
    • "Convective fingering of an autocatalytic reaction front"
    • PLEEE81063-651X10.1103/PhysRevE.53.6012
    • M. R. Carey, S. W. Morris, and P. Kolodner, "Convective fingering of an autocatalytic reaction front," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.53.6012 53, 6012 (1996).
    • (1996) Phys. Rev. E , vol.53 , pp. 6012
    • Carey, M.R.1    Morris, S.W.2    Kolodner, P.3
  • 13
    • 0042368377 scopus 로고
    • "Hydrodynamic instability of chemical waves"
    • JCPSA60021-960610.1063/1.464192
    • D. A. Vasquez, J. W. Wilder, and B. F. Edwards, "Hydrodynamic instability of chemical waves," J. Chem. Phys. JCPSA60021-960610.1063/1.464192 98, 2138 (1993).
    • (1993) Chem. Phys. , vol.98 , pp. 2138
    • Vasquez, D.A.1    Wilder, J.W.2    Edwards, B.F.3
  • 14
    • 0037347457 scopus 로고    scopus 로고
    • "Chemical fronts in Hele-Shaw cells: Linear stability analysis based on the three-dimensional stokes equations"
    • PHFLE61070-663110.1063/1.1536972
    • R. Demuth and E. Meiburg, "Chemical fronts in Hele-Shaw cells: Linear stability analysis based on the three-dimensional stokes equations." Phys. Fluids PHFLE61070-663110.1063/1.1536972 15, 597 (2003).
    • (2003) Phys. Fluids , vol.15 , pp. 597
    • Demuth, R.1    Meiburg, E.2
  • 15
    • 0001291999 scopus 로고
    • "Onset of convection for autocatalytic reaction fronts in a vertical slab"
    • PLEEE81063-651X10.1103/PhysRevE.48.4378
    • J. Huang, D. A. Vasquez, B. F. Edwards, and P. Kolodner, "Onset of convection for autocatalytic reaction fronts in a vertical slab," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.48.4378 48, 4378 (1993).
    • (1993) Phys. Rev. E , vol.48 , pp. 4378
    • Huang, J.1    Vasquez, D.A.2    Edwards, B.F.3    Kolodner, P.4
  • 16
    • 39249084408 scopus 로고    scopus 로고
    • "Fingering of chemical fronts in porous media"
    • PRLTAO0031-900710.1103/PhysRevLett.87.054502
    • A. De Wit, "Fingering of chemical fronts in porous media," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.87.054502 87, 054502 (2001).
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 054502
    • De Wit, A.1
  • 17
    • 0001147353 scopus 로고    scopus 로고
    • "Wave propagation in Hele-Shaw cells and porous media"
    • JCPSA60021-960610.1063/1.471720
    • D. Vasquez, J. Wilder, and B. Edwards, "Wave propagation in Hele-Shaw cells and porous media," J. Chem. Phys. JCPSA60021-960610.1063/1.471720 104, 9926 (1996).
    • (1996) Chem. Phys. , vol.104 , pp. 9926
    • Vasquez, D.1    Wilder, J.2    Edwards, B.3
  • 18
    • 85035267837 scopus 로고    scopus 로고
    • "Buoyancy driven instability of an autocatalytic reaction front in a Hele-Shaw cell"
    • PLEEE81063-651X10.1103/PhysRevE.65.051605
    • J. Martin, N. Rakotomalala, D. Salin, and M. Böckmann, "Buoyancy driven instability of an autocatalytic reaction front in a Hele-Shaw cell," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.65.051605 65, 051605 (2002).
    • (2002) Phys. Rev. E , vol.65 , pp. 051605
    • Martin, J.1    Rakotomalala, N.2    Salin, D.3    Böckmann, M.4
  • 19
    • 0001598807 scopus 로고    scopus 로고
    • "A numerical study of chemical front propagation in a Hele-Shaw flow under buoyancy effects"
    • PHFLE61070-663110.1063/1.869602
    • J. Zhu, "A numerical study of chemical front propagation in a Hele-Shaw flow under buoyancy effects," Phys. Fluids PHFLE61070-663110.1063/1.869602 10, 775 (1998).
    • (1998) Phys. Fluids , vol.10 , pp. 775
    • Zhu, J.1
  • 20
    • 0001855936 scopus 로고
    • "Onset of convection for autocatalytic reaction fronts: Laterally unbounded system"
    • PLRAAN1050-294710.1103/PhysRevA.43.749
    • B. F. Edwards, J. W. Wilder, and K. Showalter, "Onset of convection for autocatalytic reaction fronts: Laterally unbounded system," Phys. Rev. A PLRAAN1050-294710.1103/PhysRevA.43.749 43, 749 (1991).
    • (1991) Phys. Rev. A , vol.43 , pp. 749
    • Edwards, B.F.1    Wilder, J.W.2    Showalter, K.3
  • 23
    • 0037159947 scopus 로고    scopus 로고
    • "Rayleigh-Taylor instability of reaction-diffusion acidity fronts"
    • JCPSA60021-960610.1063/1.1516595
    • J. Yang, A. D'Onofrio, S. Kalliadasis, and A. DeWit, "Rayleigh-Taylor instability of reaction-diffusion acidity fronts," J. Chem. Phys. JCPSA60021-960610.1063/1.1516595 117, 9395 (2002).
    • (2002) Chem. Phys. , vol.117 , pp. 9395
    • Yang, J.1    D'Onofrio, A.2    Kalliadasis, S.3    DeWit, A.4
  • 24
    • 0001649199 scopus 로고    scopus 로고
    • "The effect of convection on a propagating front with a liquid product: Comparison of theory and experiments"
    • CHAOEH1054-150010.1063/1.166333
    • B. McCaughney, J. A. Pojman, C. Simmons, and V. A. Volpert, "The effect of convection on a propagating front with a liquid product: Comparison of theory and experiments," Chaos CHAOEH1054-150010.1063/ 1.166333 8, 520 (1998).
    • (1998) Chaos , vol.8 , pp. 520
    • McCaughney, B.1    Pojman, J.A.2    Simmons, C.3    Volpert, V.A.4
  • 25
    • 33748669663 scopus 로고    scopus 로고
    • "Free-radical frontal plymerization: Self-propogating thermal reaction waves"
    • JCFTEV0956-500010.1039/ft9969202825
    • J. A. Pojman, V. M. Ilyashenko, and A. M. Khan, "Free-radical frontal plymerization: Self-propogating thermal reaction waves," J. Chem. Soc., Faraday Trans. JCFTEV0956-500010.1039/ft9969202825 92, 2824 (1996).
    • (1996) Chem. Soc., Faraday Trans. , vol.92 , pp. 2824
    • Pojman, J.A.1    Ilyashenko, V.M.2    Khan, A.M.3
  • 26
    • 0001252890 scopus 로고    scopus 로고
    • "Propagating fronts of polymerization in the physical chemistry laboratory"
    • JCEDA80021-9584
    • J. A. Pojman, W. W. West, and J. Simmons, "Propagating fronts of polymerization in the physical chemistry laboratory," J. Chem. Educ. JCEDA80021-9584 74, 727 (1997).
    • (1997) Chem. Educ. , vol.74 , pp. 727
    • Pojman, J.A.1    West, W.W.2    Simmons, J.3
  • 28
    • 2442652573 scopus 로고    scopus 로고
    • "Fingering instabilities of exothermic reaction-diffusion fronts"
    • PHFLE61070-663110.1063/1.1689912
    • S. Kalliadasis, J. Yang, and A. De Wit, "Fingering instabilities of exothermic reaction-diffusion fronts," Phys. Fluids PHFLE61070-663110.1063/1.1689912 16, 1395 (2004).
    • (2004) Phys. Fluids , vol.16 , pp. 1395
    • Kalliadasis, S.1    Yang, J.2    De Wit, A.3
  • 29
    • 4644336270 scopus 로고    scopus 로고
    • "Density fingering of an exothermic autocatalytic reaction"
    • PLEEE81063-651X10.1103/PhysRevE.68.055301
    • T. Bansagi, Jr., D. Horvath, A. Toth, J. Yang, S. Kalliadasis, and A. De Wit, "Density fingering of an exothermic autocatalytic reaction," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.68.055301 68, 055301(R) (2003).
    • (2003) Phys. Rev. E , vol.68 , pp. 055301
    • Bansagi Jr., T.1    Horvath, D.2    Toth, A.3    Yang, J.4    Kalliadasis, S.5    De Wit, A.6
  • 30
    • 29244464719 scopus 로고    scopus 로고
    • "Fingering of exothermic reaction-diffusion fronts in Hele-Shaw cells with conducting walls"
    • JCPSA60021-960610.1063/1.2136881
    • J. D'Hernoncourt, S. Kalliadasis, and A. De Wit, "Fingering of exothermic reaction-diffusion fronts in Hele-Shaw cells with conducting walls," J. Chem. Phys. JCPSA60021-960610.1063/1.2136881 123, 234503 (2005).
    • (2005) Chem. Phys. , vol.123 , pp. 234503
    • D'Hernoncourt, J.1    Kalliadasis, S.2    De Wit, A.3
  • 31
    • 0742270470 scopus 로고    scopus 로고
    • "Miscible density fingering of chemical fronts in porous media: Nonlinear simulations"
    • PHFLE61070-663110.1063/1.1630576
    • A. De Wit, "Miscible density fingering of chemical fronts in porous media: Nonlinear simulations," Phys. Fluids PHFLE61070-663110.1063/ 1.1630576 16, 163 (2004).
    • (2004) Phys. Fluids , vol.16 , pp. 3
    • De Wit, A.1
  • 32
    • 0242656495 scopus 로고    scopus 로고
    • "Hydrodynamical instability of spatially extended bistable chemical systems"
    • CESCAC0009-250910.1016/j.ces.2002.11.003
    • A. De Wit, P. De Kepper, K. Benyaich, G. Dewel, and P. Borckmans, "Hydrodynamical instability of spatially extended bistable chemical systems," Chem. Eng. Sci. CESCAC0009-250910.1016/j.ces.2002.11.003 58, 4823 (2003).
    • (2003) Chem. Eng. Sci. , vol.58 , pp. 4823
    • De Wit, A.1    De Kepper, P.2    Benyaich, K.3    Dewel, G.4    Borckmans, P.5
  • 33
    • 0037168895 scopus 로고    scopus 로고
    • "Density-driven unstable flows of miscible fluids in a Hele-Shaw cell"
    • JFLSA70022-1120
    • J. Fernandez, P. Kurowski, P. Petitjeans, and E. Meiburg, "Density-driven unstable flows of miscible fluids in a Hele-Shaw cell," J. Fluid Mech. JFLSA70022-1120 451, 239 (2002).
    • (2002) Fluid Mech. , vol.451 , pp. 239
    • Fernandez, J.1    Kurowski, P.2    Petitjeans, P.3    Meiburg, E.4
  • 34
    • 0037168892 scopus 로고    scopus 로고
    • "Density-driven instabilities of miscible fluids in a Hele-Shaw cell: Linear stability analysis of the three dimensional stokes equation"
    • JFLSA70022-112010.1017/S002211200200109X
    • F. Graf, E. Meiburg, and C. Härtel, "Density-driven instabilities of miscible fluids in a Hele-Shaw cell: Linear stability analysis of the three dimensional stokes equation," J. Fluid Mech. JFLSA70022-112010.1017/S002211200200109X 451, 261 (2002).
    • (2002) J. Fluid Mech. , vol.451 , pp. 261
    • Graf, F.1    Meiburg, E.2    Härtel, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.