Effective flow of micropolar fluid through a thin or long pipe.
Pažanin, Igor (2011)
Mathematical Problems in Engineering
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Displaying similar documents to “Linear flow in porous media with double periodicity.”
Effective flow of micropolar fluid through a thin or long pipe.
The effective boundary conditions for vector fields on domains with rough boundaries: Applications to fluid mechanics
Eduard Feireisl, Šárka Matušů-Nečasová (2011)
Applications of Mathematics
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The Navier-Stokes system is studied on a family of domains with rough boundaries formed by oscillating riblets. Assuming the complete slip boundary conditions we identify the limit system, in particular, we show that the limit velocity field satisfies boundary conditions of a mixed type depending on the characteristic direction of the riblets.
A generalized strange term in Signorini’s type problems
Carlos Conca, François Murat, Claudia Timofte (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The limit behavior of the solutions of Signorini’s type-like problems in periodically perforated domains with period is studied. The main feature of this limit behaviour is the existence of a critical size of the perforations that separates different emerging phenomena as . In the critical case, it is shown that Signorini’s problem converges to a problem associated to a new operator which is the sum of a standard homogenized operator and an extra zero order term (“strange term”) coming...
On the solvability of a problem of stationary fluid flow in a helical pipe.
Pažanin, Igor (2009)
Mathematical Problems in Engineering
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Homogenization of -laplacian in perforated domain
B. Amaziane, S. Antontsev, L. Pankratov, A. Piatnitski (2009)
Annales de l'I.H.P. Analyse non linéaire
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Analysis of a multiple-porosity model for single-phase flow through naturally fractured porous media.
Spagnuolo, Anna Maria, Wright, Steve (2003)
Journal of Applied Mathematics
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Homogenization of thin piezoelectric perforated shells
Marius Ghergu, Georges Griso, Houari Mechkour, Bernadette Miara (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
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We rigorously establish the existence of the limit homogeneous constitutive law of a piezoelectric composite made of periodically perforated microstructures and whose reference configuration is a thin shell with fixed thickness. We deal with an extension of the Koiter shell model in which the three curvilinear coordinates of the elastic displacement field and the electric potential are coupled. By letting the size of the microstructure going to zero and by using the periodic unfolding...