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This book describes several tractable theories for fluid flow in porous media while the important mathematical questions about structural stability and spatial decay are addressed. Thermal convection and stability of other flows in porous media are covered and a chapter is devoted to the problem of stability of flow in a fluid overlying a porous layer. Nonlinear wave motion in porous media is analysed, and waves in an elastic body with voids are investigated. Acoustic waves in porous media are also analysed in some detail. A chapter is included on efficient numerical methods for solving eigenvalue problems which occur in stability problems for flows in porous media. Brian Straughan is a professor at the Department of Mathematical Sciences at Durham University, United Kingdom.
Mathematics. --- Mechanics. --- Engineering Fluid Dynamics. --- Mechanics, Fluids, Thermodynamics. --- Partial Differential Equations. --- Differential equations, partial. --- Thermodynamics. --- Hydraulic engineering. --- Mathématiques --- Thermodynamique --- Mécanique --- Technologie hydraulique --- Porous materials --Permeability --Mathematical models. --- Transport theory --Mathematical models. --- Wave-motion, Theory of. --- Porous materials --- Transport theory --- Wave-motion, Theory of --- Atomic Physics --- Mathematical Theory --- Mathematics --- Physics --- Physical Sciences & Mathematics --- Permeability --- Mathematical models --- Mathematical models. --- Undulatory theory --- Porous media --- Materials science. --- Partial differential equations. --- Continuum physics. --- Fluid mechanics. --- Materials Science. --- Materials Science, general. --- Classical Continuum Physics. --- Hydromechanics --- Continuum mechanics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Classical field theory --- Continuum physics --- Partial differential equations --- Material science --- Physical sciences --- Mechanics --- Materials --- Porosity --- Materials. --- Classical and Continuum Physics. --- Classical Mechanics. --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes
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Poromechanics is the mechanics of porous materials and is now a well established field in many engineering disciplines, ranging from Civil Engineering, Geophysics, Petroleum Engineering to Bioengineering. However, a rigorous approach that links the physics of the phenomena at stake in porous materials and the macroscopic behaviour is still missing. This book presents such an approach by means of homogenization techniques. Rigorously founded in various theories of micromechanics, these up scaling techniques are developed for the homogenization of transport properties, stiffness and strength properties of porous materials. The special feature of this book is the balance between theory and application, providing the reader with a comprehensive introduction to state-of-the-art homogenization theories and applications to a large range of real life porous materials: concrete, rocks, shales, bones, etc.
Engineering. --- Physics and Applied Physics in Engineering. --- Continuum Mechanics and Mechanics of Materials. --- Engineering Thermodynamics, Transport Phenomena. --- Structural Foundations, Hydraulic Engineering. --- Applied Geosciences. --- Biophysics/Biomedical Physics. --- Biomedical engineering. --- Materials. --- Ingénierie --- Génie biomédical --- Matériaux --- Micromechanics. --- Porous materials -- Mechanical properties. --- Porous materials. --- Porous media --- Geotechnical engineering. --- Biophysics. --- Biological physics. --- Thermodynamics. --- Heat engineering. --- Heat transfer. --- Mass transfer. --- Continuum mechanics. --- Engineering geology. --- Engineering --- Foundations. --- Hydraulics. --- Engineering, general. --- Engineering Thermodynamics, Heat and Mass Transfer. --- Geoengineering, Foundations, Hydraulics. --- Geotechnical Engineering & Applied Earth Sciences. --- Biophysics and Biological Physics. --- Geology. --- Materials --- Porosity --- Composite materials --- Solid state physics --- Microstructure --- Mechanics. --- Mechanics, Applied. --- Hydraulic engineering. --- Solid Mechanics. --- Biological and Medical Physics, Biophysics. --- Engineering, Hydraulic --- Fluid mechanics --- Hydraulics --- Shore protection --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Construction --- Industrial arts --- Technology --- Engineering—Geology. --- Chemistry, Physical and theoretical --- Mechanics --- Heat --- Heat-engines --- Biological physics --- Biology --- Medical sciences --- Engineering, Geotechnical --- Geotechnics --- Geotechnology --- Engineering geology --- Flow of water --- Water --- Hydraulic engineering --- Jets --- Architecture --- Building --- Structural engineering --- Underground construction --- Caissons --- Earthwork --- Masonry --- Soil consolidation --- Soil mechanics --- Walls --- Civil engineering --- Geology, Economic --- Mass transport (Physics) --- Thermodynamics --- Transport theory --- Heat transfer --- Thermal transfer --- Transmission of heat --- Energy transfer --- Mechanical engineering --- Flow --- Distribution --- Details --- Geology
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