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66 --- 62 --- Chemical technology. Chemical and related industries --- Engineering. Technology in general --- Environmental chemistry --- Transport theory --- Mathematical models. --- Basic Sciences. Physics --- Transport Phenomena --- Transport Phenomena. --- 66 Chemical technology. Chemical and related industries --- Chemistry, Environmental --- Chemistry --- Ecology --- Mathematical models --- Environmental chemistry - Mathematical models. --- Transport theory - Mathematical models.

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The book covers all aspects from the expansion of the Boltzmann transport equation with harmonic functions to application to devices, where transport in the bulk and in inversion layers is considered. The important aspects of stabilization and band structure mapping are discussed in detail. This is done not only for the full band structure of the 3D k-space, but also for the warped band structure of the quasi 2D hole gas. Efficient methods for building the Schrödinger equation for arbitrary surface or strain directions, gridding of the 2D k-space and solving it together with the other two equations are presented.

Entropy. --- Fluid dynamics. --- Transport theory -- Mathematical models. --- Transport theory. --- Transport theory --- Fluid dynamics --- Electrical & Computer Engineering --- Engineering & Applied Sciences --- Applied Physics --- Electrical Engineering --- Mathematical models --- Mathematical models. --- Engineering. --- Semiconductors. --- Electronics. --- Microelectronics. --- Optical materials. --- Electronic materials. --- Electronics and Microelectronics, Instrumentation. --- Optical and Electronic Materials. --- Dynamics --- Fluid mechanics --- Optics --- Materials --- Electrical engineering --- Physical sciences --- Electronic materials --- Crystalline semiconductors --- Semi-conductors --- Semiconducting materials --- Semiconductor devices --- Crystals --- Electronics --- Solid state electronics --- Microminiature electronic equipment --- Microminiaturization (Electronics) --- Microtechnology --- Semiconductors --- Miniature electronic equipment

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Many modern high-resolution schemes for Computational Fluid Dynamics trace their origins to the Flux-Corrected Transport (FCT) paradigm. FCT maintains monotonicity using a nonoscillatory low-order scheme to determine the bounds for a constrained high-order approximation. This book begins with historical notes by J.P. Boris and D.L. Book who invented FCT in the early 1970s. The chapters that follow describe the design of fully multidimensional FCT algorithms for structured and unstructured grids, limiting for systems of conservation laws, and the use of FCT as an implicit subgrid scale model. The second edition presents 200 pages of additional material. The main highlights of the three new chapters include: FCT-constrained interpolation for Arbitrary Lagrangian-Eulerian methods, an optimization-based approach to flux correction, and FCT simulations of high-speed flows on overset grids. Addressing students and researchers, as well as CFD practitioners, the book is focused on computational aspects and contains many numerical examples.

Algorithms. --- Fluid dynamics -- Mathematics. --- Mathematical physics. --- Transport theory -- Mathematical models. --- Transport theory --- Fluid dynamics --- Algorithms --- Mathematical physics --- Physics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Applied Physics --- Physics - General --- Mathematical models --- Mathematics --- Computer science --- Engineering mathematics. --- Physics. --- Mathematics. --- Natural philosophy --- Philosophy, Natural --- Engineering --- Engineering analysis --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Computer mathematics. --- Fluids. --- Applied mathematics. --- Numerical and Computational Physics. --- Computational Mathematics and Numerical Analysis. --- Appl.Mathematics/Computational Methods of Engineering. --- Fluid- and Aerodynamics. --- Physical sciences --- Dynamics --- Mathematical analysis --- Hydraulics --- Mechanics --- Hydrostatics --- Permeability --- Numerical and Computational Physics, Simulation. --- Mathematical and Computational Engineering.

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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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The term transport phenomena is used to describe processes in which mass, momentum, energy and entropy move about in matter. Advances in Transport Phenomena provide state-of-the-art expositions of major advances by theoretical, numerical and experimental studies from a molecular, microscopic, mesoscopic, macroscopic or megascopic point of view across the spectrum of transport phenomena, from scientific enquiries to practical applications. The annual review series intends to fill the information gap between regularly published journals and university-level textbooks by providing in-depth review articles over a broader scope than in journals. The authoritative articles, contributed by internationally-leading scientists and practitioners, establish the state of the art, disseminate the latest research discoveries, serve as a central source of reference for fundamentals and applications of transport phenomena, and provide potential textbooks to senior undergraduate and graduate students. This review book provides state-of-the-art expositions of major advances by theoretical, numerical and experimental studies from a molecular, microscopic, mesoscopic, macroscopic or megascopic point of view across the spectrum of transport phenomena, from scientific enquiries to practical applications. This new volume of the annual review "Advances in Transport Phenomena" series provides in-depth review articles covering the fields of mass transfer, fluid mechanics, heat transfer and thermodynamics. This review book provides state-of-the-art expositions of major advances by theoretical, numerical and experimental studies from a molecular, microscopic, mesoscopic, macroscopic or megascopic point of view across the spectrum of transport phenomena, from scientific enquiries to practical applications. This new volume of the annual review "Advances in Transport Phenomena" series provides in-depth review articles covering the fields of mass transfer, fluid mechanics, heat transfer and thermodynamics.

Transport theory -- Mathematical models. --- Transport theory. --- Physics --- Mechanical Engineering --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Mechanical Engineering - General --- Thermodynamics --- Boltzmann transport equation --- Transport phenomena --- Engineering. --- Chemical engineering. --- Mathematical models. --- Continuum physics. --- Thermodynamics. --- Heat engineering. --- Heat transfer. --- Mass transfer. --- Fluid mechanics. --- Engineering Thermodynamics, Heat and Mass Transfer. --- Industrial Chemistry/Chemical Engineering. --- Mathematical Modeling and Industrial Mathematics. --- Engineering Fluid Dynamics. --- Classical Continuum Physics. --- Mathematical physics --- Particles (Nuclear physics) --- Radiation --- Statistical mechanics --- Hydraulic engineering. --- Classical and Continuum Physics. --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Chemistry, Industrial --- Engineering, Chemical --- Industrial chemistry --- Chemistry, Technical --- Metallurgy --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Heat --- Heat-engines --- Quantum theory --- Construction --- Industrial arts --- Technology --- Classical field theory --- Continuum physics --- Continuum mechanics --- Hydromechanics --- Models, Mathematical --- Simulation methods --- Mass transport (Physics) --- Transport theory --- Heat transfer --- Thermal transfer --- Transmission of heat --- Energy transfer --- Mechanical engineering