الصفحة 1
الصفحة 1
Numerical Mathematics and Advanced Applications ; Proceedings of ENUMATH 2005 the 6th European Conference on Numerical Mathematics and Advanced Applications, Santiago de Compostela, Spain, July 2005
This book include applications such as atmosphere and ocean, water pollution, electromagnetism, interface problems, waves, finance, heat transfer, unbounded domains, numerical linear algebra, convection-diffusion, fluid-structure, plates, solids, hyperbolic equations, multiphase flow, Navier-Stokes, singular perturbation problems, non linear PDE, control, parabolic equations, as well as methodologies such as a posteriori error estimates, discontinuous Galerkin methods, multiscale methods, optimization, adaptive methods, domain decomposition techniques, exponential integrators, hp-finite elements, level set methods, fractional step methods, penalty procedures, and finite volumes. The book gives an extensive overview of the most recent research in scientific computing, providing to the reader the latest developments concerning the mathematical issues and the applications of this active field of science.
Numerical computation, data analysis and software in mathematics and engineering
Include the aspects of the meshless method, numerical simulation, mathematical models, deep learning and data analysis. Meshless methods, such as the improved element-free Galerkin method, the dimension-splitting, interpolating, moving, least-squares method, the dimension-splitting, generalized, interpolating, element-free Galerkin method and the improved interpolating, complex variable, element-free Galerkin method, are presented. Some complicated problems, such as tge cold roll-forming process, ceramsite compound insulation block, crack propagation and heavy-haul railway tunnel with defects, are numerically analyzed.
New Developments in Computational Fluid Dynamics ; Proceedings of the Sixth International Nobeyama Workshop on the New Century of Computational Fluid Dynamics, Nobeyama, Japan, April 21 to 24, 2003
This volume contains 20 papers in Nobeyama Workshop focuses on predicting the next one hundred years of development of Fluid Dynamics, accounting for the current status and future trends of high performance computation and communication.
Multiphase Flow Dynamics 2 : Thermal and Mechanical Interactions ; 3rd ed.
Multi-phase flows are part of our natural environment such as tornadoes, typhoons, air and water pollution and volcanic activities as well as part of industrial technology such as power plants, combustion engines, propulsion systems, or chemical and biological industry. The industrial use of multi-phase systems requires analytical and numerical strategies for predicting their behavior. In its third extended edition this book contains theory, methods and practical experience for describing complex transient multi-phase processes in arbitrary geometrical configurations. This book provides a systematic presentation of the theory and practice of numerical multi-phase fluid dynamics. In the present second volume the mechanical and thermal interactions in multiphase dynamics are provided. This third edition includes various updates, extensions, improvements and corrections.
Multiphase Flow Dynamics 2 : Thermal and Mechanical Interactions ; 2nd ed.
This book provides a systematic presentation of the theory and practice of numerical multi-phase fluid dynamics. In the present second volume the mechanical and thermal interactions in multiphase dynamics are provided.
Interfacial Convection in Multilayer Systems
This book contains a systematic investigation of the convection in systems with interfaces. For the first time, it classifies all of the known types of convective instabilities in such systems, and discusses the peculiarities of multilayer systems. The book provides an overview of the wide variety of steady and oscillatory patterns, waves, and other dynamic phenomena characteristic for multilayer fluid systems. Various physical effects, including heat and mass transfer, thermal and mechanical couplings on the interfaces, interfacial deformability, the influence of surfactants on different types of convective motions are investigated.
Heat transfer : Evolution, design and performance
Covers thermodynamics principles and establishes performance and evolution as fundamental concepts in thermal sciences Demonstrates how principles of physics predict a future with economies of scale, multi-scale design, vascularization, and hierarchical distribution of many small features Explores new work on conduction architecture, convection with nanofluids, boiling and condensation on designed surfaces, and resonance of natural circulation in enclosures
Heat Convection
This text draws on Professor Jiji’s broad teaching experience to provide students with a solid foundation in convection heat transfer. It emphasizes fundamentals, physical phenomena, and mathematical modeling of convection. It also includes a comprehensive introduction to the important topic of convection in micro-channels. Jiji's extensive understanding of how students think and learn, what they find difficult, and which elements need to be stressed is integrated in this work. He employs an organization and methodology derived from his experience and presents the material in an easy to follow form, using graphical illustrations and examples for maximum effect.
Granite genesis : in-situ melting and crustal evolution
In this book we suggest an alternative model for the origin of granite in terms of in-situ meltingintracrustal convection that physically determines the process from partial melting of mid-upper crustal rocks to formation of a convecting magma layer. We illustrate the model using the geological, geochemical and geophysical studies from Australia, North and South America, Europe and China, and conclude that heat convection within a crustal partial melting layer is essential for formation of granite magma and that without convection, partial melting of rocks produces migmatites rather than granites. Granite is layer-like within the crust, and shape and size of granite bodies reflect the geometric relationship between an irregular upper surface of the crystallised magma layer and erosion surface. Repeated melting of the crust generates downward-younging granite sequences. Chemical and isotopic compositions of granites indicate differentiation within the magma rather than different deep sources.
Generalized collocations methods : Solutions to nonlinear problems
This book examines various mathematical tools—based on generalized collocation methods—to solve nonlinear problems related to partial differential and integro-differential equations. Covered are specific problems and models related to vehicular traffic flow, population dynamics, wave phenomena, heat convection and diffusion, transport phenomena, and pollution. Based on a unified approach combining modeling, mathematical methods, and scientific computation, each chapter begins with several examples and problems solved by computational methods; full details of the solution techniques used are given. The last section of each chapter provides problems and exercises giving readers the opportunity to practice using the mathematical tools already presented.
Free-Convective Heat Transfer : With Many Photographs of Flows and Heat Exchange
Free Convective Heat Transfer is a thorough survey of various kinds of free-convective flows and heat transfer. Reference data are accompanied by a large number of photographs originating from different optical visualization methods illustrating the different types of flow. The formulas derived from numerical and analytical investigations are valuable tools for engineering calculations. They are written in their most compact and general form in order to allow for an extensive range of different variants of boundary and initial conditions, which, in turn, leads to a wide applicability to different flow types. Some specific engineering problems are solved in the book as exemplary applications of these formulas.
Free Convection Film Flows and Heat Transfer
This book presents recent developments in systematic studies of hydrodynamics and heat and mass transfer in laminar free convection, accelerating film boiling and condensation of Newtonian fluids, as well as accelerating film flow of non-Newtonian power-law fluids (FFNF). A novel system of analysis models is provided with a developed velocity component method, instead of traditional Falkner-Skan type transformation, and a system of models for treatment of variable thermophysical properties is presented with an innovative temperature parameter method that makes it easier to similarly treat related governing differential equations for consideration of fluid variable thermophysical properties. A pseudo-similarity method is applied for dealing with thermal boundary layer of FFNF, furthermore, with an induced local Prandtl number, which greatly simplifies the heat-transfer analysis and numerical calculation.
Flowing Matter
This book presents an introduction to selected research topics in the broad field of flowing matter, including the dynamics of fluids with a complex internal structure -from nematic fluids to soft glasses- as well as active matter and turbulent phenomena. Flowing matter is a subject at the crossroads between physics, mathematics, chemistry, engineering, biology and earth sciences, and relies on a multidisciplinary approach to describe the emergence of the macroscopic behaviours in a system from the coordinated dynamics of its microscopic constituents. Depending on the microscopic interactions, an assembly of molecules or of mesoscopic particles can flow like a simple Newtonian fluid, deform elastically like a solid or behave in a complex manner. When the internal constituents are active, as for biological entities, one generally observes complex large-scale collective motions. Phenomenology is further complicated by the invariable tendency of fluids to display chaos at the large scales or when stirred strongly enough. This volume presents several research topics that address these phenomena encompassing the traditional micro-, meso-, and macro-scales descriptions, and contributes to our understanding of the fundamentals of flowing matter.
Engineering thermofluids : Thermodynamics, fluid mechanics, and heat transfer
The "Engineering Thermofluids" is a unique textbook, which brings the three pillars of thermal sciences; thermodynamics, fluid mechanics, and heat transfer under one umbrella. These three distinct, yet intertwined subjects are treated in an integrated manner. The primary audiences for this book are senior undergraduate, graduate, and practicing engineers in the fields of aeronautical, chemical industrial, mechanical, and nuclear engineering. Topics are discussed in detail while still using a simple and easy to follow approach. Numerous walk-through examples are solved and illustrations are provided to guide the reader through more subtle topics
Emerging Topics in Heat and Mass Transfer in Porous Media : From Bioengineering and Microelectronics to Nanotechnology
This book provides a unique collection of articles reviewing the state-of-the-art in the field of heat and mass transfer in porous media with particular emphasis to emerging technologies, from bioengineering and bio-tissues and microelectronics to nanotechnology.
Drying of Porous Materials
This book provides recent advances in research on drying of saturated particulates and porous materials. The present volume is based on the selected papers presented at the XI Polish Drying Symposium 2005. The selected contributions cover theoretical modeling as well as experimental research on heat and mass transfer in porous and multiphase media during drying. The comprehensiveness and profound treatment of the subject makes this book an excellent pioneering contribution to the science and technology of drying of particulate solids.
Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer
Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer offers its readers a systematic and practical introduction to the discontinuous finite element method. It moves from a brief review of the fundamental laws and equations governing thermal and fluid systems, through a discussion of different approaches to the formulation of discontinuous finite element solutions for boundary and initial value problems, to their applicaton in a variety of thermal-system and fluid-related problems, including: heat conduction problems / convection-dominant problems / computational compressible flows / external radiation problems / internal radiation and radiative transfer / free- and moving-boundary problems / micro- and nanoscale heat transfer and fluid flow / thermal fluid flow under the influence of applied magnetic fields.
Convective and Advective Heat Transfer in Geological Systems
This monograph aims to provide state-of-the-art theoretical results in a systematic treatment of convective and advective heat transfer during fluid flow in geological systems at the crustal scale. Although some numerical results are provided to complement theoretical ones, the main focus of this monograph is on theoretical aspects of the topic. The theoretical treatment contained in this monograph is also applicable to a wide range of problems of other length-scales such as engineering length-scales.
Convection in Porous Media
This book provides a user-friendly introduction to convection in porous media, such as fibrous insulation, geological strata, and catalytic reactors. The presentation is self-contained, requiring only routine classical mathematics and the basic elements of fluid mechanics and heat transfer. It will thus be of use not only to researchers and practicing engineers as a review and reference, but also to graduate students and others just entering the field. Convection in Porous Media includes nearly 1000 new references and covers: convection in deforming porous media, "designed" porous media, the theory of deformable media, modeling viscous dissipation in hyperporous media, and more.
Control of Turbulent and Magnetohydrodynamic Channel Flows : Boundary Stabilization and State Estimation
This monograph presents new constructive design methods for boundary stabilization and boundary estimation for several classes of benchmark problems in flow control, with potential applications to turbulence control, weather forecasting, and plasma control. The basis of the approach used in the work is the recently developed continuous backstepping method for parabolic partial differential equations, expanding the applicability of boundary controllers for flow systems from low Reynolds numbers to high Reynolds number conditions. Efforts in flow control over the last few years have led to a wide range of developments in many different directions, but most implementable developments thus far have been obtained using discretized versions of the plant models and finite-dimensional control techniques. In contrast, the design methods examined in this book are based on the “continuum” version of the backstepping approach, applied to the PDE model of the flow.
