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Volumn 26, Issue 7, 1996, Pages 1221-1253

Homogenization of a polymer flow through a porous medium

Author keywords

Homogenization; Nonlinear Darcy type law with memory; Periodic porous media; Quasi Newtonian flow; Two scale convergence

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FLUID DYNAMICS; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; NON NEWTONIAN FLOW; NON NEWTONIAN LIQUIDS; POLYMERS; POROUS MATERIALS; TENSORS; THEOREM PROVING; VISCOSITY; VISCOUS FLOW;

EID: 0030128906     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(94)00285-P     Document Type: Article
Times cited : (46)

References (22)
  • 2
    • 0023033970 scopus 로고
    • Flow in porous media I: A theoretical derivation of Darcy law
    • WHITAKER S., Flow in porous media I: A theoretical derivation of Darcy law, Transport Porous Media, 1, 3-25 (1990).
    • (1990) Transport Porous Media , vol.1 , pp. 3-25
    • Whitaker, S.1
  • 4
    • 0002197945 scopus 로고
    • Non-homogeneous media and vibration theory
    • Springer Verlag
    • SANCHEZ-PALENCIA E., Non-homogeneous media and vibration theory, Lecture Notes in Physics 127. Springer Verlag (1980).
    • (1980) Lecture Notes in Physics , vol.127
    • Sanchez-Palencia, E.1
  • 5
    • 0042290065 scopus 로고
    • Écoulement d'un fluide viscoplastique de Bingham dans un milieu poreux
    • LIONS J. L. & SANCHEZ-PALENCIA E., Écoulement d'un fluide viscoplastique de Bingham dans un milieu poreux, J. Math. pures Appt. 60, 341-360 (1981).
    • (1981) J. Math. Pures Appt. , vol.60 , pp. 341-360
    • Lions, J.L.1    Sanchez-Palencia, E.2
  • 6
    • 0010797209 scopus 로고
    • Note on the homogenization of Bingham flow through porous medium
    • BOURGEAT A. & MIKELIĆ A., Note on the homogenization of Bingham flow through porous medium, J. Math pures Appl. 72, 405-414 (1993).
    • (1993) J. Math Pures Appl. , vol.72 , pp. 405-414
    • Bourgeat, A.1    Mikelić, A.2
  • 9
    • 0000286944 scopus 로고
    • Mathematical principles of classical fluid mechanics
    • Springer, Berlin
    • SERRIN J., Mathematical Principles of Classical Fluid Mechanics, in Handbuch der Physik, Vol. 8/1, pp. 125-263. Springer, Berlin (1959).
    • (1959) Handbuch der Physik , vol.8 , Issue.1 , pp. 125-263
    • Serrin, J.1
  • 10
    • 0001663212 scopus 로고
    • Su un problema al contorno relative al sistema di equazioni di Stokes
    • CATTABRIGA L., Su un problema al contorno relative al sistema di equazioni di Stokes, R. Semin. mat. Padova, 31, 308-340 (1961).
    • (1961) R. Semin. Mat. Padova , vol.31 , pp. 308-340
    • Cattabriga, L.1
  • 12
    • 84974746759 scopus 로고
    • Homogenization of the Stokes flow in a connected porous medium
    • ALLAIRE G., Homogenization of the Stokes flow in a connected porous medium, Asymptotic Analysis 2, 203-222 (1989).
    • (1989) Asymptotic Analysis , vol.2 , pp. 203-222
    • Allaire, G.1
  • 14
    • 0001219949 scopus 로고
    • Homogenization of nonstationary Navier-Stokes equations in a domain with a grained boundary
    • MIKELIĆ A., Homogenization of nonstationary Navier-Stokes equations in a domain with a grained boundary, Annali Mat. pura appl. (IV), CLVIII, 167-179 (1991).
    • (1991) Annali Mat. Pura Appl. , vol.158 , Issue.4 , pp. 167-179
    • Mikelić, A.1
  • 16
    • 0039038698 scopus 로고
    • A Darcy law for slow viscous flow past a stationary array of bubbles
    • LIPTON R., & AVELLANEDA M., A Darcy law for slow viscous flow past a stationary array of bubbles, Proc. R. Soc. Edinb. 114A, 71-79 (1990).
    • (1990) Proc. R. Soc. Edinb. , vol.114 A , pp. 71-79
    • Lipton, R.1    Avellaneda, M.2
  • 17
    • 0000315621 scopus 로고
    • A general convergence result for a functional related to the theory of homogenization
    • NGUETSENG G., A general convergence result for a functional related to the theory of homogenization, SIAM J. math. Analysis 20(3), 608-623 (1989).
    • (1989) SIAM J. Math. Analysis , vol.20 , Issue.3 , pp. 608-623
    • Nguetseng, G.1
  • 18
    • 21144473666 scopus 로고
    • Homogenization and two-scale convergence
    • ALLAIRE G., Homogenization and two-scale convergence, SIAM J. math. Analysis 23, 1482-1518 (1992).
    • (1992) SIAM J. Math. Analysis , vol.23 , pp. 1482-1518
    • Allaire, G.1
  • 19
    • 0041288383 scopus 로고
    • Homogénéisation et convergence à deux échelles. Application à un problème de convection diffusion
    • ALLAIRE G., Homogénéisation et convergence à deux échelles. Application à un problème de convection diffusion. C. R. Acad. Sci. Paris, t. 312 581-586 (1991).
    • (1991) C. R. Acad. Sci. Paris , vol.312 , pp. 581-586
    • Allaire, G.1
  • 21
    • 0026140986 scopus 로고
    • Displacement of a Newtonian fluid by a non-Newtonian fluid in a porous medium
    • WU Y. S., PRUESS K. & WITHERSPOON A., Displacement of a Newtonian fluid by a non-Newtonian fluid in a porous medium, Transport Porous Media 6, 115-142 (1991).
    • (1991) Transport Porous Media , vol.6 , pp. 115-142
    • Wu, Y.S.1    Pruess, K.2    Witherspoon, A.3
  • 22
    • 0040806767 scopus 로고
    • Analyse numérique des écoulements quasi-Newtoniens dont la viscosité obeit a la loi puissance ou la loi de Carreau
    • BARANGER J. & NAJIB K., Analyse numérique des écoulements quasi-Newtoniens dont la viscosité obeit a la loi puissance ou la loi de Carreau, Num. Math. 58, 35-49 (1990).
    • (1990) Num. Math. , vol.58 , pp. 35-49
    • Baranger, J.1    Najib, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.