Global asymptotics of filtration in porous media
نویسندگان
چکیده
منابع مشابه
Spectral Asymptotics in Porous Media
This thesis consists of two papers devoted to the asymptotic analysis of eigenvalue problems in perforated domains. The first paper investigates by means of the two-scale convergence method the asymptotic behavior of eigenvalues and eigenfunctions of Stekloff eigenvalue problems in perforated domains. We prove a concise and precise homogenization result including convergence of gradients of eig...
متن کاملSimple Filtration Using Porous Media
This work is a study of the movement of particles, one at a time, through a fixed filter. Various assumptions are made about particle and pore sizes, pore selection rules and filter configurations. This report is divided into three main sections: The first studies the filter by analyzing its layers both in a qualitative sense and by computational simulations. The next studies the filter through...
متن کاملSimulation of Impaction Filtration of Aerosol Droplets in Porous Media
We report on the development of a method to simulate from first principles the particle filtration efficiency of filters that are composed of structured porous media. We assume that the ratio of particle density to the fluid density is high. We concentrate on the motion of the particles in a laminar flow and quantify the role of inertial effects on the filtration of an ensemble of particles. We...
متن کاملAsymptotics of the Porous Media Equation via Sobolev Inequalities
Let M be a compact Riemannian manifold without boundary. Consider the porous media equation u̇ = 4(um), u(0) = u0 ∈ Lq , 4 being the Laplace–Beltrami operator. Then, if q ≥ 2 ∨ (m − 1), the associated evolution is Lq − L∞ regularizing at any time t > 0 and the bound ‖u(t)‖∞ ≤ C(u0)/t (1) holds for t < 1 for suitable explicit C(u0), γ. For large t it is shown that, for general initial data, u(t) ...
متن کاملFiltration Law for Polymer Flow Through Porous Media
In this paper we study the filtration laws for the polymeric flow in a porous medium. We use the quasi-Newtonian models with share dependent viscosity obeying the power-law and the Carreau’s law. Using the method of homogenization in [5] the coupled micro-macro homogenized law, governing the quasi-newtonian flow in a periodic model of a porous medium, was found. We decouple that law separating ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: E3S Web of Conferences
سال: 2019
ISSN: 2267-1242
DOI: 10.1051/e3sconf/20199705002