Download or read book A Contribution to the Formulation of Diffusion limited Chemical Reaction written by David Colton Torney and published by . This book was released on 1982 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reaction Diffusion and Solid State Chemical Kinetics written by V.I. Dybkov and published by Trans Tech Publications Ltd. This book was released on 2010-03-18 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume is indexed by Thomson Reuters BCI (WoS). This monograph deals with a physico-chemical approach to the problem of the solid-state growth of chemical compound layers and reaction-diffusion in binary heterogeneous systems formed by two solids; as well as a solid with a liquid or a gas. It is explained why the number of compound layers growing at the interface between the original phases is usually much lower than the number of chemical compounds in the phase diagram of a given binary system. For example, of the eight intermetallic compounds which exist in the aluminium-zirconium binary system, only ZrAl3 was found to grow as a separate layer at the AlZr interface under isothermal conditions. The physico-chemical approach predicts that, in most cases, the number of compound layers should not exceed two; with the main factor, resulting in the appearance of additional layers, being crack formation due to thermal expansion and volume effects.
Download or read book Variational Methods Applied to Problems of Diffusion and Reaction written by William Strieder and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is an account of some problems involving diffusion or diffusion with simultaneous reaction that can be illuminated by the use of variational principles. It was written during a period that included sabbatical leaves of one of us (W. S. ) at the University of Minnesota and the other (R. A. ) at the University of Cambridge and we are grateful to the Petroleum Research Fund for helping to support the former and the Guggenheim Foundation for making possible the latter. We would also like to thank Stephen Prager for getting us together in the first place and for showing how interesting and useful these methods can be. We have also benefitted from correspondence with Dr. A. M. Arthurs of the University of York and from the counsel of Dr. B. D. Coleman the general editor of this series. Table of Contents Chapter 1. Introduction and Preliminaries . 1. 1. General Survey 1 1. 2. Phenomenological Descriptions of Diffusion and Reaction 2 1. 3. Correlation Functions for Random Suspensions 4 1. 4. Mean Free Path Statistics . 8 1. 5. Void Point-Surface Statistics . 11 1. 6. Variational Principles Applied to the Diffusion Equation. 12 1. 7. Notation. 16 Chapter 2. Diffusion Through a Porous Medium . 18 2. 1. Introduction 18 2. 2. Diffusion Through an Isotropic Porous Medium 18 2. 3. Variational Formulation for De . 20 2. 4. Bounds on De for an Isotropic Suspension 22 2. 5.
Download or read book The Mathematics of Diffusion written by John Crank and published by Oxford University Press. This book was released on 1979 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained.
Download or read book Stochastic Modelling of Reaction Diffusion Processes written by Radek Erban and published by Cambridge University Press. This book was released on 2020-01-30 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical introduction to stochastic reaction-diffusion modelling is based on courses taught at the University of Oxford. The authors discuss the essence of mathematical methods which appear (under different names) in a number of interdisciplinary scientific fields bridging mathematics and computations with biology and chemistry. The book can be used both for self-study and as a supporting text for advanced undergraduate or beginning graduate-level courses in applied mathematics. New mathematical approaches are explained using simple examples of biological models, which range in size from simulations of small biomolecules to groups of animals. The book starts with stochastic modelling of chemical reactions, introducing stochastic simulation algorithms and mathematical methods for analysis of stochastic models. Different stochastic spatio-temporal models are then studied, including models of diffusion and stochastic reaction-diffusion modelling. The methods covered include molecular dynamics, Brownian dynamics, velocity jump processes and compartment-based (lattice-based) models.
Download or read book Receptors written by Douglas A. Lauffenburger and published by Oxford University Press. This book was released on 1996-01-11 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Receptors: Models for Binding, Trafficking, and Signaling bridges the gap between chemical engineering and cell biology by lucidly and practically demonstrating how a mathematical modeling approach combined with quantitative experiments can provide enhanced understanding of cell phenomena involving receptor/ligand interactions. In stressing the need for a quantitative understanding of how receptor-mediated cell functions depend on receptor and ligand properties, the book offers comprehensive treatments of both basic and state-of-the-art model frameworks that span the entire spectrum of receptor processes--from fundamental cell surface binding, intracellular trafficking, and signal transduction events to the cell behavioral functions they govern, including proliferation, adhesion, and migration. The book emphasizes mechanistic models that are accessible to experimental testing and includes detailed examples of important contemporary issues. This much-needed book introduces chemical engineers and bioengineers to important problems in receptor biology and familiarizes cell biologists with the insights that can be gained from engineering analysis and synthesis. As such, chemical engineers, researchers, and advanced students in the fields of biotechnology, biomedical sciences, bioengineering, and molecular cell biology will find this book to be conceptually rich, timely, and useful.
Download or read book Transport Phenomena for Chemical Reactor Design written by Laurence A. Belfiore and published by John Wiley & Sons. This book was released on 2003-07-04 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt: Laurence Belfiore’s unique treatment meshes two mainstreamsubject areas in chemical engineering: transport phenomena andchemical reactor design. Expressly intended as an extension ofBird, Stewart, and Lightfoot’s classic Transport Phenomena,and Froment and Bischoff’s Chemical Reactor Analysis andDesign, Second Edition, Belfiore’s unprecedented textexplores the synthesis of these two disciplines in a manner theupper undergraduate or graduate reader can readily grasp. Transport Phenomena for Chemical Reactor Designapproaches the design of chemical reactors from microscopic heatand mass transfer principles. It includes simultaneousconsideration of kinetics and heat transfer, both critical to theperformance of real chemical reactors. Complementary topics intransport phenomena and thermodynamics that provide support forchemical reactor analysis are covered, including: Fluid dynamics in the creeping and potential flow regimesaround solid spheres and gas bubbles The corresponding mass transfer problems that employ velocityprofiles, derived in the book’s fluid dynamics chapter, tocalculate interphase heat and mass transfer coefficients Heat capacities of ideal gases via statistical thermodynamicsto calculate Prandtl numbers Thermodynamic stability criteria for homogeneous mixtures thatreveal that binary molecular diffusion coefficients must bepositive In addition to its comprehensive treatment, the text alsocontains 484 problems and ninety-six detailed solutions to assistin the exploration of the subject. Graduate and advancedundergraduate chemical engineering students, professors, andresearchers will appreciate the vision, innovation, and practicalapplication of Laurence Belfiore’s Transport Phenomenafor Chemical Reactor Design.
Download or read book E coli in Motion written by Howard C. Berg and published by Springer Science & Business Media. This book was released on 2008-01-11 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Escherichia coli, commonly referred to as E. coli, has been the organism of choice for molecular genetics for decades. Its machinery and mobile behavior is one of the most fascinating topics for cell scientists. Scientists and engineers, not trained in microbiology, and who would like to learn more about living machines, can see it as a unique example. This cross-disciplinary monograph covers more than thirty years of research and is accessible to graduate students and scientists alike.
Download or read book Photokinetics written by H. Mauser and published by Elsevier Science. This book was released on 1998-09-02 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many books cover the determination of rate constants under different experimental conditions and different chemical composition of the reaction mixture in their formal treatment of thermal kinetics. However, most textbooks are limited to simple mechanisms. In contrast, analogous treatment of photochemical reactions is limited to the publication of special reactions and investigations. Therefore, this book is aimed at providing an overall description of formal photokinetics covering a wider scope than the usual books on kinetics. This volume attempts to provide a concise treatment of both thermo- and photochemical reactions by means of generalised differential equations, their set-up in matrix notation, and their solution by a formalism using numerical integration. At a first glance this approach might be surprising. However, apart from the argument that the didactics of thermal reactions are easier to handle than those of kinetics, the book provides additional reasons in support of this approach. Therefore, the formalism derived allows the evaluation of photochemical reactions, which are superimposed thermal reactions taking into account that the amount of light absorbed varies during the reaction. Because of this, any approximation, either by using total absorbance or negligible absorbance, will cause considerable errors even for simple reactions. The approach chosen to transform the axis of the radiation time into a new variable that includes the photokinetic factor proves that formal kinetics can be applied to thermal and photochemical reactions as well, and even allows the handling of solutions that cannot be homogenised or solid samples in which the concentration varies locally. By using this approach to introduce partial photochemical quantum yields even complex mechanisms can be determined quantitatively. A large number of examples for different mechanisms and an introduction to many spectroscopic and chromatographic methods suitable for photokinetic analyses are provided to enable the reader to carry out a step-by-step evaluation of his own measurements. To reduce the number of formula in some chapters an appendix has been included which contains a detailed description of the calculus of some essential examples. For the convenience of the reader the following has been included: . A large number of examples describing the use of formula . A detailed description of the procedure for applying photokinetics to complex consecutive photoreactions . An Internet address where the reader can find a tutorial for this procedure: http://www.barolo.ipc.uni-tuebingen.de/tele/photokin/ . A simple macro to help in programming his own evaluation procedure.
Download or read book Beyond the Molecular Frontier written by National Research Council and published by National Academies Press. This book was released on 2003-03-19 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemistry and chemical engineering have changed significantly in the last decade. They have broadened their scopeâ€"into biology, nanotechnology, materials science, computation, and advanced methods of process systems engineering and controlâ€"so much that the programs in most chemistry and chemical engineering departments now barely resemble the classical notion of chemistry. Beyond the Molecular Frontier brings together research, discovery, and invention across the entire spectrum of the chemical sciencesâ€"from fundamental, molecular-level chemistry to large-scale chemical processing technology. This reflects the way the field has evolved, the synergy at universities between research and education in chemistry and chemical engineering, and the way chemists and chemical engineers work together in industry. The astonishing developments in science and engineering during the 20th century have made it possible to dream of new goals that might previously have been considered unthinkable. This book identifies the key opportunities and challenges for the chemical sciences, from basic research to societal needs and from terrorism defense to environmental protection, and it looks at the ways in which chemists and chemical engineers can work together to contribute to an improved future.
Download or read book Fractals Physical Origin and Properties written by Luciano Pietronero and published by Springer. This book was released on 2013-12-19 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the Special Seminar on: FRAGTALS held from October 9-15, 1988 at the Ettore Majorana Centre for Scientific Culture, Erice (Trapani), Italy. The concepts of self-similarity and scale invariance have arisen independently in several areas. One is the study of critical properites of phase transitions; another is fractal geometry, which involves the concept of (non-integer) fractal dimension. These two areas have now come together, and their methods have extended to various fields of physics. The purpose of this Seminar was to provide an overview of the recent developments in the field. Most of the contributions are theoretical, but some experimental work is also included. Du:cing the past few years two tendencies have emerged in this field: one is to realize that many phenomena can be naturally modelled by fractal structures. So one can use this concept to define simple modele and study their physical properties. The second point of view is more microscopic and tries to answer the question: why nature gives rise to fractal structures. This implies the formulation of fractal growth modele based on physical concepts and their theoretical understanding in the same sense as the Renormalization Group method has allowed to understand the critical properties of phase transitions.
Download or read book Chemical Kinetics and Process Dynamics in Aquatic Systems written by PatrickL. Brezonik and published by Routledge. This book was released on 2018-05-08 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemical Kinetics and Process Dynamics in Aquatic Systems is devoted to chemical reactions and biogeochemical processes in aquatic systems. The book provides a thorough analysis of the principles, mathematics, and analytical tools used in chemical, microbial, and reactor kinetics. It also presents a comprehensive, up-to-date description of the kinetics of important chemical processes in aquatic environments. Aquatic photochemistry and correlation methods (e.g., LFERs and QSARs) to predict process rates are covered. Numerous examples are included, and each chapter has a detailed bibliography and problems sets. The book will be an excellent text/reference for professionals and students in such fields as aquatic chemistry, limnology, aqueous geochemistry, microbial ecology, marine science, environmental and water resources engineering, and geochemistry.
Download or read book Design and Modeling of Mechanical Systems V written by Lassaad Walha and published by Springer Nature. This book was released on 2022-08-19 with total page 929 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a collection of original peer-reviewed contributions presented at the 9th International Congress on Design and Modeling of Mechanical Systems (CMSM’2021), held on December 20-22, 2021, in Hammamet, Tunisia. It reports on research findings, advanced methods and industrial applications relating to mechanical systems, materials and structures, and machining. It covers vibration analysis, CFD modeling and simulation, intelligent monitoring and control, including applications related to industry 4.0 and additive manufacturing. Continuing on the tradition of the previous editions, and with a good balance of theory and practice, the book offers a timely snapshot, and a useful resource for both researchers and professionals in the field of design and modeling of mechanical systems.
Download or read book Air Force Research Resum s written by and published by . This book was released on with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Phase Transitions in Foods written by Yrjö H. Roos and published by Academic Press. This book was released on 1995-06-12 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assembling recent research and theories, this book describes the phase and state transitions that affect technological properties of biological materials occurring in food processing and storage. It covers the role of water as a plasticizer, the effect of transitions on mechanical and chemical changes, and the application of modeling in predicting stability rates of changes. The volume presents methods for detecting changes in the physical state and various techniques used to analyze phase behavior of biopolymers and food components. This book should become a valuable resource for anyone involved with food engineering, processing, storage, and quality, as well as those working on related properties of pharmaceuticals and other biopolymers. Contains descriptions of nonfat food solids as"biopolymers"which exhibit physical properties that are highly dependent on temperature, time, and water content Details the effects of water on the state and stability of foods Includes information on changes occuring in state and physicochemical properties during processing and storage The only book on phase and state transitions written specifically for the applications in food industry, product development, and research No recent competition
Download or read book Hybrid Rocket Propulsion Design Handbook written by Ashley Chandler Karp and published by Academic Press. This book was released on 2023-10-07 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hybrid Rocket Propulsion Design Handbook provides system scaling laws, design methodologies, and a summary of available test data, giving engineers all the tools they need to develop realistic hybrid system designs.Important supporting theory from chemistry, thermodynamics, and rocket propulsion is addressed, helping readers from a variety of backgrounds to understand this interdisciplinary subject. This book also suggests guidelines for standardized reporting of test data, in response to difficulties researchers have in working with results from different research institutes. Covers general theory, recent advances and current fragmented experimental results of hybrid rocket engines Outlines testing standards for hybrid researchers Provides guidance on how to use a freely available online code from NASA
Download or read book Encyclopedia of Optical and Photonic Engineering Print Five Volume Set written by Craig Hoffman and published by CRC Press. This book was released on 2015-09-22 with total page 3726 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of the Encyclopedia of Optical and Photonic Engineering provided a valuable reference concerning devices or systems that generate, transmit, measure, or detect light, and to a lesser degree, the basic interaction of light and matter. This Second Edition not only reflects the changes in optical and photonic engineering that have occurred since the first edition was published, but also: Boasts a wealth of new material, expanding the encyclopedia’s length by 25 percent Contains extensive updates, with significant revisions made throughout the text Features contributions from engineers and scientists leading the fields of optics and photonics today With the addition of a second editor, the Encyclopedia of Optical and Photonic Engineering, Second Edition offers a balanced and up-to-date look at the fundamentals of a diverse portfolio of technologies and discoveries in areas ranging from x-ray optics to photon entanglement and beyond. This edition’s release corresponds nicely with the United Nations General Assembly’s declaration of 2015 as the International Year of Light, working in tandem to raise awareness about light’s important role in the modern world. Also Available Online This Taylor & Francis encyclopedia is also available through online subscription, offering a variety of extra benefits for researchers, students, and librarians, including: Citation tracking and alerts Active reference linking Saved searches and marked lists HTML and PDF format options Contact Taylor and Francis for more information or to inquire about subscription options and print/online combination packages. US: (Tel) 1.888.318.2367; (E-mail) [email protected] International: (Tel) +44 (0) 20 7017 6062; (E-mail) [email protected]
