Download or read book Derivation of an Effective Model for a Phase field Description of Solid liquid Transformations in Porous Media written by Martin Höpker and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Unsaturated Deformable Porous Media Flow with Phase Transition written by Pavel Krejčí and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present paper, a continuum model is introduced for fluid flow in a deformable porous medium, where the fluid may undergo phase transitions. Typically, such problems arise in modeling liquid-solid phase transformations in groundwater flows. The system of equations is derived here from the conservation principles for mass, momentum, and energy and from the Clausius-Duhem inequality for entropy. It couples the evolution of the displacement in the matrix material, of the capillary pressure, of the absolute temperature, and of the phase fraction. Mathematical results are proved under the additional hypothesis that inertia effects and shear stresses can be neglected. For the resulting highly nonlinear system of two PDEs, one ODE and one ordinary differential inclusion with natural initial and boundary conditions, existence of global in time solutions is proved by means of cut-off techniques and suitable Moser-type estimates.
Download or read book Sintering From Empirical Observations to Scientific Principles written by Randall German and published by Butterworth-Heinemann. This book was released on 2014-02-07 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: As sintering applications march toward a $30 billion global business, the models for sintering have progressed, but generally follow behind observation. Documentation of the steps needed to build to a quantitative and predictive theory are often missed. Sintering: From Empirical Observations to Scientific Principles partitions sintering applications and observations to show critical turning points required to establish modern sintering as a predictive science. This book, written by the most cited author in his field, is laced with people, organizations, critical steps, and important formulations in a mixture of history, personalities, and applications. Exploring how insights in seemingly unrelated fields sparked progress, it is also a teaching tool to show where there is success, where there are problems, and how to organize teams to leapfrog to new applications or plateaus of use. Randall German's Sintering: From Empirical Observations to Scientific Principles is a platform for directly addressing the critical control parameters in these new research and development efforts. - Shows how the theories and understanding of sintering were developed and improved over time, and how different products were developed, ultimately leading to important knowledge and lessons for solving real sintering problems - Covers all the necessary infrastructure of sintering theory and practice, such as atomic theory, surface energy, microstructure, and measurement and observation tools - Introduces the history and development of such early sintered products as porcelain, tungsten lamp filaments, bronze bearings, steel automotive components, platinum crucibles and more
Download or read book Selected Water Resources Abstracts written by and published by . This book was released on 1989 with total page 838 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Infiltration and Solid liquid Phase Change in Porous Media written by Piyasak Damronglerd and published by . This book was released on 2009 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many natural phenomenon and engineering systems involves phase change and infiltration in porous media. Some examples are the freezing of soil, frozen food, water barrier in construction and mining processes, chill casting, slab casting, liquid metal injection, latent-heat thermalenergy storage, laser annealing, selective laser sintering (SLS) and laser drilling, etc. These various applications are the motivation to develop a fast and reliable numerical model that can handle solid-liquid phase change and infiltration in porous media. The model is based on the Temperature Transforming Model (TTM) which use one set of governing equations for the whole computational domain, and then solid-liquid interface is located from the temperature distribution later. The first step was to create a model for solving Navier-Stokes and energy equation. The model was tested by solving a flow inside an enclosure problem. The next step was to implement TTM into the model to make it also capable of solving melting problem and then the program is tested with several phase change materials (PCM). The third step is to simplifying the complicated governing equations of melting and solidification in porous media problems into a simple set of equation similar to the Navier-Stokes equation, so that the program from previous step can be used. The final model was successfully validated by comparing with existing experimental and numerical results. Several controlling parameters of the phase change in porous media were studied. Finally, a one-dimensional infiltration process that involves both melting and resolidification of a selective laser sintering process was carefully investigated.
Download or read book Homogenization and Porous Media written by Ulrich Hornung and published by Springer Science & Business Media. This book was released on 1997 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a systematic, rigorous treatment of upscaling procedures related to physical modeling for porous media on micro-, meso- and macro-scales, including detailed studies of micro-structure systems and computational results for dual-porosity models.
Download or read book Essentials of Multiphase Flow and Transport in Porous Media written by George F. Pinder and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn the fundamental concepts that underlie the physics of multiphase flow and transport in porous media with the information in Essentials of Multiphase Flow in Porous Media, which demonstrates the mathematical-physical ways to express and address multiphase flow problems. Find a logical, step-by-step introduction to everything from the simple concepts to the advanced equations useful for addressing real-world problems like infiltration, groundwater contamination, and movement of non-aqueous phase liquids. Discover and apply the governing equations for application to these and other problems in light of the physics that influence system behavior.
Download or read book Solid Liquid Two Phase Flow written by Sümer M. Peker and published by Elsevier. This book was released on 2011-04-18 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an undertaking of a pioneering work of uniting three vast fields of interfacial phenomena, rheology and fluid mechanics within the framework of solid-liquid two phase flow. No wonder, much finer books will be written in the future as the visionary aims of many nations in combining molecular chemistry, biology, transport and interfacial phenomena for the fundamental understanding of processes and capabilities of new materials will be achieved. Solid-liquid systems where solid particles with a wide range of physical properties, sizes ranging from nano- to macro- scale and concentrations varying from very dilute to highly concentrated, are suspended in liquids of different rheological behavior flowing in various regimes are taken up in this book. Interactions among solid particles in molecular scale are extended to aggregations in the macro scale and related to settling, flow and rheological behavior of the suspensions in a coherent, sequential manner. The classical concept of solid particles is extended to include nanoparticles, colloids, microorganisms and cellular materials. The flow of these systems is investigated under pressure, electrical, magnetic and chemical driving forces in channels ranging from macro-scale pipes to micro channels. Complementary separation and mixing processes are also taken under consideration with micro- and macro-scale counterparts.- Up-to-date including emerging technologies- Coherent, sequential approach- Wide scope: microorganisms, nanoparticles, polymer solutions, minerals, wastewater sludge, etc- All flow conditions, settling and non-settling particles, non-Newtonian flow, etc- Processes accompanying conveying in channels, such as sedimentation, separation, mixing
Download or read book Porous Materials written by Peisheng Liu and published by Elsevier. This book was released on 2014-08-12 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineers and scientists alike will find this book to be an excellent introduction to the topic of porous materials, in particular the three main groups of porous materials: porous metals, porous ceramics, and polymer foams. Beginning with a general introduction to porous materials, the next six chapters focus on the processing and applications of each of the three main materials groups. The book includes such new processes as gel-casting and freeze-drying for porous ceramics and self-propagating high temperature synthesis (SHS) for porous metals. The applications discussed are relevant to a wide number of fields and industries, including aerospace, energy, transportation, construction, electronics, biomedical and others. The book concludes with a chapter on characterization methods for some basic parameters of porous materials. Porous Materials: Processing and Applications is an excellent resource for academic and industrial researchers in porous materials, as well as for upper-level undergraduate and graduate students in materials science and engineering, physics, chemistry, mechanics, metallurgy, and related specialties. A comprehensive overview of processing and applications of porous materials – provides younger researchers, engineers and students with the best introduction to this class of materials Includes three full chapters on modern applications - one for each of the three main groups of porous materials Introduces readers to several characterization methods for porous materials, including methods for characterizing pore size, thermal conductivity, electrical resistivity and specific surface area
Download or read book Phase field method and integrated computing materials engineering written by Yu-Hong Zhao and published by Frontiers Media SA. This book was released on 2023-04-19 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modeling and simulation of complete liquid vapor phase change process inside porous media written by Omar Rafae Mahmood Al Omar and published by Cuvillier Verlag. This book was released on 2016-10-17 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work deals with modeling and numerical simulation of fluid flow and heat transfer associated with phase change process inside both isotropic and anisotropic porous media, based on the Two-Phase Mixture Model (TPMM) along with the assumption of Local Thermal Equilibrium (LTE) and Non-Equilibrium (LTNE) conditions. In particular, it demonstrates the necessity and usefulness of a newly proposed smoothing algorithm for handling the sharp discontinuities in the effective diffusion coefficient in order to avoid the occurrence of non-physical “jump” in the predicted temperature distribution during the numerical simulation of the complete phase change process inside porous media. For the purpose of demonstration, one- and two-dimensional phase change problems operated in the Darcy flow regime have been considered.The Finite Volume Method (FVM) has been used on both staggered and non-staggered grid layouts in order to solve the governing conservation equations. In this work, after critically analyzing the drawbacks of the existing enthalpy formulation based on TPMM, a modified formulation has been also developed that can easily accommodate substantial density variations in the single phase regions. The results obtained from the modified enthalpy formulation have been compared with that predicted by the existing modified volumetric enthalpy formulation and excellent agreements have been observed for all tested cases. A thorough parametric study, using both LTE and LTNE models, indicates that the adoption of the proposed smoothing algorithm successfully eliminates “jump” in the predicted temperature distribution and does not alter the overall energy and momentum balance. All tested cases, covering applicable ranges of parametric variations, could be physically interpreted. The methodology is, therefore, recommended for future simulations of complete phase change process inside porous media. The results also show that the modified enthalpy formulation requires significantly less computation time thanmodified volumetric enthalpy formulation.
Download or read book Quantitative Phase field Model for Phase Transformations in Multi component Alloys written by Abhik Narayan Choudhury and published by Karlsruher Institut Fur Technologie. This book was released on 2014-05-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase-field modeling has spread to a variety of applications involving phase transformations.While the method has wide applicability, derivation of quantitative predictions requires deeper understanding of the coupling between the system and model parameters. The book highlights a novel phase-field model based on a grand-potential formalism allowing for an elegant and efficient solution to problems in phase transformations.
Download or read book Finite Volume Method written by Radostina Petrova and published by BoD – Books on Demand. This book was released on 2012-03-28 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: We hope that among these chapters you will find a topic which will raise your interest and engage you to further investigate a problem and build on the presented work. This book could serve either as a textbook or as a practical guide. It includes a wide variety of concepts in FVM, result of the efforts of scientists from all over the world. However, just to help you, all book chapters are systemized in three general groups: New techniques and algorithms in FVM; Solution of particular problems through FVM and Application of FVM in medicine and engineering. This book is for everyone who wants to grow, to improve and to investigate.
Download or read book Theory of Porous Media written by Reint de Boer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a consistent treatment of the material-independent fundamental equations of the theory of porous media, formulating constitutive equations for frictional materials in the elastic and plastic range, while tracing the historical development of the theory. Thus, for the first time, a unique treatment of fluid-saturated porous solids is presented, including an explanation of the corresponding theory by way of its historical progression, and a thorough description of its current state.
Download or read book Field Theoretic Method in Phase Transformations written by Alexander Umantsev and published by Springer Nature. This book was released on 2023-06-12 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a novel and popular method for the theoretical and computational study of phase transformations and materials processing in condensed and soft matter. The field theoretic method for the study of phase transformations in material systems, also known as the phase-field method, allows one to analyze different stages of transformations within a unified framework. It has received significant attention in the materials science community due to many recent successes in solving or illuminating important problems. In a single volume, this book addresses the fundamentals of the method starting from the basics of the field theoretic method along with its most important theoretical and computational results and some of the most advanced recent results and applications. Now in a revised and expanded second edition, the text is updated throughout and includes material on the classical theory of phase transformations. This book serves as both a primer in the area of phase transformations for those new to the field and as a guide for the more seasoned researcher. It is also of interest to historians of physics.
Download or read book Modeling Phenomena of Flow and Transport in Porous Media written by Jacob Bear and published by Springer. This book was released on 2018-01-25 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents and discusses the construction of mathematical models that describe phenomena of flow and transport in porous media as encountered in civil and environmental engineering, petroleum and agricultural engineering, as well as chemical and geothermal engineering. The phenomena of transport of extensive quantities, like mass of fluid phases, mass of chemical species dissolved in fluid phases, momentum and energy of the solid matrix and of fluid phases occupying the void space of porous medium domains are encountered in all these disciplines. The book, which can also serve as a text for courses on modeling in these disciplines, starts from first principles and focuses on the construction of well-posed mathematical models that describe all these transport phenomena.
Download or read book Disorder and Mixing written by E. Guyon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: CARGESE INSTITUfE ON DISORDER AND MIXING Convection, diffusion and reaction are the three basic mechanisms in physico-chemical hydrodynamics and chemical engineering. Both convective and diffusive processes are strongly influenced by the effect of disorder of granular matter in porous media, suspensions, fluidized beds or/and by the randomness caused in turbulent flow field. This book has been initiated by a NATO summer institute held in Cargese (Corsica, FRANCE) from June 15 th to 27 th 1987 . Its aim was to associate statistical physicists, fluid mechanicians and specialists of chemical engineering on the problems of the relation between disorder and mixing and, in this respect, this is a " premiere ". This book is made of chapters based on lectures given in the meeting. However we have paid a considerable attention to harmonize the contents and styles of chapters made by scientists trained in different communities and using different languages and techniques to describe similar problems. The Prelude by the editors of the book introduces the different points and is a biased view of some of the important and most active aspects of the subjects developed. We wish to thank all contributors and students of the institute who gave the style of the present interdisciplinary approach. We also greatly thank Elisabeth Charlaix who has shared with us the scientific and practical organisation of the institute, and Marie-France Hanseler for her technical support.
