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Volumn 38, Issue 4, 2006, Pages 1262-1287

Rigorous upscaling of the reactive flow through a pore, under dominant peclet and Damkohler numbers

Author keywords

Large Damkohler number; Large Peclet number; Singular perturbation; Surface chemical reaction; Taylor's dispersion

Indexed keywords

ERROR ANALYSIS; MATHEMATICAL MODELS; PECLET NUMBER; PERTURBATION TECHNIQUES; TAYLOR SERIES;

EID: 34547187521     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/050633573     Document Type: Article
Times cited : (93)

References (19)
  • 1
    • 0002864183 scopus 로고
    • On the dispersion of a solute in a fluid flowing through a tube
    • R. ARIS, On the dispersion of a solute in a fluid flowing through a tube, Proc Roy. Soc. London Ser. A, 235 (1956), pp. 67-77.
    • (1956) Proc Roy. Soc. London Ser. A , vol.235 , pp. 67-77
    • ARIS, R.1
  • 2
    • 0041435460 scopus 로고
    • The averaging of the diffusion equation in porous medium with weak absorption
    • L. V. BERLYAND AND M. V. GONCHARENKO, The averaging of the diffusion equation in porous medium with weak absorption, J. Soviet Math., 53 (1990), pp. 3428-3435.
    • (1990) J. Soviet Math , vol.53 , pp. 3428-3435
    • BERLYAND, L.V.1    GONCHARENKO, M.V.2
  • 3
    • 0037464658 scopus 로고    scopus 로고
    • Averaging a transport equation with small diffusion and oscillating velocity
    • A. BOURGEAT, M. JURAK, AND A. L. PIATNITSKI, Averaging a transport equation with small diffusion and oscillating velocity, Math. Methods Appl. Sci., 26 (2003), pp. 95-117.
    • (2003) Math. Methods Appl. Sci , vol.26 , pp. 95-117
    • BOURGEAT, A.1    JURAK, M.2    PIATNITSKI, A.L.3
  • 5
    • 11144346796 scopus 로고    scopus 로고
    • Crystal dissolution and precipitation in porous media: Pore scale analysis
    • C. J. VAN DUIJN AND I. S. POP, Crystal dissolution and precipitation in porous media: Pore scale analysis, J. Reine Angew. Math., 577 (2004), pp. 171-211.
    • (2004) J. Reine Angew. Math , vol.577 , pp. 171-211
    • VAN DUIJN, C.J.1    POP, I.S.2
  • 7
    • 0031537027 scopus 로고    scopus 로고
    • Boundary layers for parabolic regularization of totally characteristic quasilinear parabolic equations
    • E. GRENIER, Boundary layers for parabolic regularization of totally characteristic quasilinear parabolic equations, J. Math. Pures Appl. (9), 76 (1997), pp. 965-990.
    • (1997) J. Math. Pures Appl. (9) , vol.76 , pp. 965-990
    • GRENIER, E.1
  • 8
    • 0039165703 scopus 로고    scopus 로고
    • Boundary layers for viscous perturbations of noncharacteristic quasilinear hyperbolic problems
    • E. GRENIER AND O. GUÈS, Boundary layers for viscous perturbations of noncharacteristic quasilinear hyperbolic problems, J. Differential Equations, 143 (1998), pp. 110-146.
    • (1998) J. Differential Equations , vol.143 , pp. 110-146
    • GRENIER, E.1    GUÈS, O.2
  • 9
    • 0035537785 scopus 로고    scopus 로고
    • Stability of one-dimensional boundary layers by using Green's functions
    • E. GRENIER AND F. ROUSSET, Stability of one-dimensional boundary layers by using Green's functions, Comm. Pure Appl. Math., 54 (2001), pp. 1343-1385.
    • (2001) Comm. Pure Appl. Math , vol.54 , pp. 1343-1385
    • GRENIER, E.1    ROUSSET, F.2
  • 11
    • 0347601794 scopus 로고    scopus 로고
    • Simplified models for turbulent diffusion: Theory, numerical modelling, and physical phenomena
    • A. J. MAJDA AND P. R. KRAMER, Simplified models for turbulent diffusion: Theory, numerical modelling, and physical phenomena, Phys. Rep., 314 (1999), pp. 237-574.
    • (1999) Phys. Rep , vol.314 , pp. 237-574
    • MAJDA, A.J.1    KRAMER, P.R.2
  • 12
    • 0008508050 scopus 로고
    • Dispersion, convection, and reaction in porous media
    • R. MAURI, Dispersion, convection, and reaction in porous media, Phys. Fluids A, 3 (1991), pp. 743-756.
    • (1991) Phys. Fluids A , vol.3 , pp. 743-756
    • MAURI, R.1
  • 13
    • 0025567096 scopus 로고
    • A centre manifold description of contaminant dispersion in channels with varying flow properties
    • G. N. MERCER AND A. J. ROBERTS, A centre manifold description of contaminant dispersion in channels with varying flow properties, SIAM J. Appl. Math., 50 (1990), pp. 1547-1565.
    • (1990) SIAM J. Appl. Math , vol.50 , pp. 1547-1565
    • MERCER, G.N.1    ROBERTS, A.J.2
  • 14
    • 0001326774 scopus 로고
    • On the behavior at infinity of solutions of second-order elliptic equations in domains with noncompact boundary
    • O. A. OLEINIK AND G. A. IOSIF'JAN, On the behavior at infinity of solutions of second-order elliptic equations in domains with noncompact boundary, Math. USSR Sb., 40 (1981), pp. 527-548.
    • (1981) Math. USSR Sb , vol.40 , pp. 527-548
    • OLEINIK, O.A.1    IOSIF'JAN, G.A.2
  • 15
    • 0020928392 scopus 로고
    • Dispersion in pulsed systems I. Heterogeneous reaction and reversible adsorption in capillary tubes
    • M. A. PAINE, R. G. CARBONELL, AND S. WHITAKER, Dispersion in pulsed systems I. Heterogeneous reaction and reversible adsorption in capillary tubes, Chem. Eng. Sci., 38 (1983), pp. 1781-1793.
    • (1983) Chem. Eng. Sci , vol.38 , pp. 1781-1793
    • PAINE, M.A.1    CARBONELL, R.G.2    WHITAKER, S.3
  • 16
    • 0012507557 scopus 로고
    • Averaging singularly perturbed equation with rapidly oscillating coefficients in a layer
    • A. I. PIATNISKI, Averaging singularly perturbed equation with rapidly oscillating coefficients in a layer, Math. USSR-Sb., 49 (1984), pp. 19-40.
    • (1984) Math. USSR-Sb , vol.49 , pp. 19-40
    • PIATNISKI, A.I.1
  • 17
    • 34547142389 scopus 로고    scopus 로고
    • Personal communication
    • A. I. PIATNISKI, Personal communication, 2005.
    • (2005)
    • PIATNISKI, A.I.1
  • 18
    • 0022915678 scopus 로고
    • Dispersion and convection in periodic porous media
    • J. RUBINSTEIN AND R. MAURI, Dispersion and convection in periodic porous media, SIAM J. Appl. Math., 46 (1986), pp. 1018-1023.
    • (1986) SIAM J. Appl. Math , vol.46 , pp. 1018-1023
    • RUBINSTEIN, J.1    MAURI, R.2
  • 19
    • 0003381083 scopus 로고
    • Dispersion of soluble matter in solvent flowing slowly through a tube
    • G. I. TAYLOR, Dispersion of soluble matter in solvent flowing slowly through a tube, Proc. Roy. Soc. London Ser. A, 219 (1953), pp. 186-203.
    • (1953) Proc. Roy. Soc. London Ser. A , vol.219 , pp. 186-203
    • TAYLOR, G.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.