A Contribution to the Formulation of Diffusion-limited Chemical Reaction PDF Download
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Author: David Colton Torney
Publisher:
ISBN:
Category : Chemical kinetics
Languages : en
Pages : 204
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Book Description
Author: David Colton Torney
Publisher:
ISBN:
Category : Chemical kinetics
Languages : en
Pages : 204
Get Book Here
Book Description
Author: V.I. Dybkov
Publisher: Trans Tech Publications Ltd
ISBN: 3038134457
Category : Technology & Engineering
Languages : en
Pages : 334
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Book Description
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.
Author: William Strieder
Publisher: Springer Science & Business Media
ISBN: 3642656242
Category : Mathematics
Languages : en
Pages : 121
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Book Description
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.
Author: John Crank
Publisher: Oxford University Press
ISBN: 9780198534112
Category : Mathematics
Languages : en
Pages : 428
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Book Description
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.
Author: Douglas A. Lauffenburger
Publisher: Oxford University Press
ISBN: 0190283068
Category : Science
Languages : en
Pages : 376
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Book Description
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.
Author: Laurence A. Belfiore
Publisher: John Wiley & Sons
ISBN: 0471265586
Category : Technology & Engineering
Languages : en
Pages : 910
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Book Description
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.
Author: Rainer Behrisch
Publisher: Springer Science & Business Media
ISBN: 3540445021
Category : Technology & Engineering
Languages : en
Pages : 527
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Book Description
This book provides a long-needed survey of new results. Especially welcome is a new summary of the measured and calculated sputtering yields with an algebraic approximation formula for the energy and angular dependence of the yields, which is useful for researchers who need sputtering yields for physics research or applied problems. The book offers a critical review of computational methods for calculating sputtering yields and also includes molecular dynamics calculations.
Author: H. Mauser
Publisher: Elsevier Science
ISBN: 9780444825360
Category : Science
Languages : en
Pages : 586
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Book Description
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.
Author: G.S. Yablonskii
Publisher: Elsevier Science
ISBN: 9780444888020
Category : Science
Languages : en
Pages : 416
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Book Description
This book has been written by a group of mathematicians and chemists whose common interest is in the complex dynamics of catalytic reactions. Based on developments in mathematical chemistry, a general theory is described that allows the investigation of the relationships between the kinetic characteristics of complex reactions and their detailed reaction mechanism. Furthermore, a comprehensive analysis is made of some typical mechanism of catalytic reactions, in particular for the oxidation of carbon monoxide on platinum metals. In fact, the book presents three kinetics: (a) detailed, oriented to the elucidation of a detailed reaction mechanism according to its kinetic laws; (b) applied, with the aim of obtaining kinetic relationships for the further design of chemical reactors; and (c) mathematical kinetics whose purpose is the analysis of mathematical models for heterogeneous catalytic reactions taking place under steady- or unsteady-state conditions.
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309168392
Category : Science
Languages : en
Pages : 238
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Book Description
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.
