Computation of the permeability tensor for the fluid flow through a periodic net of thin channels

Applicable Analysis

Volumn 64, Issue 1-2, 1997, Pages 27-37

  Marušić Paloka, Eduard ^a   Marušić, Sanja ^a  

^a UNIVERSITY OF ZAGREB   (Croatia)

Author keywords

Permeability tensor; Porous medium; Singular perturbation; Stokes equations

Indexed keywords

EID: 4243924011     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036819708840521     Document Type: Article

References (9)

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3. Bayada, G., and Chambat, M., 1986. The Transition Between the Stokes Equation and the Reynolds Equation: a Mathematical Proof. Appl. Math. and Opt, 14: 73–93.
4. Bourgeat, A., Elamri, H., and Tapiero, R., 1991. Existance d'une taille critique pour une fissure dans un milieux poreux, Second Colloque Franco Chilien de Mathematiques Appliquées, 67–80. Touluse: Capadues.
5. Bourgeat, A., Marušić-Paloka, E., and Mikelić, A., 1995. Effective Fluid Flow in a Porous Medium Containing a Thin Fissure. Asymptotic Anal., 11: 241–262.
6. Cioranescu, D., and Saint Jean Paulin, J., 1986. Reinforced and Honey-Comb Structures. J. Math. pures. et appl, 65: 403–422.
7. Marušić-Paloka E., Mikelić A., An Error Estimate for Correctors in the Homogenization of Stokes and Navier-Stokes Equations in a Porous Medium 1996 to appear in Boll.U.M.I.
8. Mikelić, A., 1986. Homogenization of nonstationary Navier-Stokes Equations in a Domain with a Grained Boundary. Pura. Appl, CLVIII (IV): 167–179.
9. Nazarov, S.A., and Piletskas, K.I., 1991. The Reynolds Flow of a Fluid in a Thin Three-Dimensional Channel. Lithuanian Math. J., 30 (IV): 366–375.