By Anvarbek Meirmanov
The booklet is dedicated to rigorous derivation of macroscopic mathematical versions as a homogenization of tangible mathematical types on the microscopic point. the assumption is sort of usual: one first needs to describe the joint movement of the elastic skeleton and the fluid in pores on the microscopic point via classical continuum mechanics, after which use homogenization to discover acceptable approximation versions (homogenized equations). The Navier-Stokes equations nonetheless carry at this scale of the pore measurement within the order of five – 15 microns. therefore, as we've got pointed out above, the macroscopic mathematical types bought are nonetheless in the limits of actual applicability. those mathematical types describe diversified actual techniques of liquid filtration and acoustics in poroelastic media, comparable to isothermal or non-isothermal filtration, hydraulic surprise, isothermal or non-isothermal acoustics, diffusion-convection, filtration and acoustics in composite media or in porous fractured reservoirs. Our learn relies upon the Nguetseng two-scale convergent process.
Read Online or Download Mathematical Models for Poroelastic Flows (Atlantis Studies in Differential Equations) PDF
Similar Mechanics books
Methods of Celestial Mechanics
"the suggest anomaly expressed when it comes to the real anomaly"
RealTime Physics Active Learning Laboratories, Module 1: Mechanics
The authors of RealTime Physics lively studying Laboratories, Module 1: Mechanics, third Edition - David Sokoloff, Priscilla legislation, and Ron Thornton - were pioneers within the revolution of the physics undefined. during this variation, they supply a suite of labs that make the most of glossy lab expertise to supply hands-on info, in addition to an empirical examine numerous new key recommendations.
Energy Principles and Variational Methods in Applied Mechanics
A scientific presentation of power rules and variational equipment The expanding use of numerical and computational equipment in engineering and technologies has shed new gentle at the significance of power ideas and variational equipment. strength ideas and Variational tools in utilized Mechanics presents a scientific and useful advent to using power rules, conventional variational equipment, and the finite aspect solution to the answer of engineering difficulties regarding bars, beams, torsion, aircraft elasticity, and plates.
Extra resources for Mathematical Models for Poroelastic Flows (Atlantis Studies in Differential Equations)
