Elements of Chemical Reaction Engineering

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Publisher : Pearson Educación
ISBN 13 : 9789702600794
Total Pages : 1006 pages
Book Rating : 4.6/5 (7 download)

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Book Synopsis Elements of Chemical Reaction Engineering by : H. Scott Fogler

Download or read book Elements of Chemical Reaction Engineering written by H. Scott Fogler and published by Pearson Educación. This book was released on 1999 with total page 1006 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The fourth edition of Elements of Chemical Reaction Engineering is a completely revised version of the book. It combines authoritative coverage of the principles of chemical reaction engineering with an unsurpassed focus on critical thinking and creative problem solving, employing open-ended questions and stressing the Socratic method. Clear and organized, it integrates text, visuals, and computer simulations to help readers solve even the most challenging problems through reasoning, rather than by memorizing equations."--BOOK JACKET.

Elements of Chemical Reaction Engineering

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Author :
Publisher : Prentice Hall
ISBN 13 : 9780130473943
Total Pages : 1080 pages
Book Rating : 4.4/5 (739 download)

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Book Synopsis Elements of Chemical Reaction Engineering by : H. Scott Fogler

Download or read book Elements of Chemical Reaction Engineering written by H. Scott Fogler and published by Prentice Hall. This book was released on 2006 with total page 1080 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Definitive, Fully Updated Guide to Solving Real-World Chemical Reaction Engineering Problems The fourth edition of Elements of Chemical Reaction Engineering is a completely revised version of the worldwide best-selling book. It combines authoritative coverage of the principles of chemical reaction engineering with an unsurpassed focus on critical thinking and creative problem solving, employing open-ended questions and stressing the Socratic method. Clear and superbly organized, it integrates text, visuals, and computer simulations to help readers solve even the most challenging problems through reasoning, rather than by memorizing equations. Thorough coverage of the fundamentals of chemical reaction engineering forms the backbone of this trusted text. To enhance the transfer of core skills to real-life settings, three styles of problems are included for each subject Straightforward problems that reinforce the material Problems that allow students to explore the issues and look for optimum solutions Open-ended problems that encourage students to practice creative problem-solving skills H. Scott Fogler has updated his classic text to provide even more coverage of bioreactions, industrial chemistry with real reactors and reactions, and an even broader range of applications, along with the newest digital techniques, such as FEMLAB. The fourth edition of Elements of Chemical Reaction Engineering contains wide-ranging examples—from smog to blood clotting, ethylene oxide production to tissue engineering, antifreeze to cobra bites, and computer chip manufacturing to chemical plant safety. About the CD-ROM The CD-ROM offers numerous enrichment opportunities for both students and instructors, including the following Learning Resources: Summary Notes: Chapter-specific interactive material to address the different learning styles in the Felder/Solomon learning-style index Learning Resources: Web modules, reactor lab modules, interactive computer modules, solved problems, and problem-solving heuristics Living Example Problems: More than fifty-five interactive simulations in POLYMATH software, which allow students to explore the examples and ask “what-if” questions Professional Reference Shelf: Advanced content, ranging from collision and transition state theory to aerosol reactors, DFT, runaway reactions, and pharmacokinetics Additional Study Materials: Extra homework problems, course syllabi, and Web links to related material Latest Software to Solve “Digital Age” Problems: FEMLAB to solve PDEs for the axial and radial concentration and temperature profiles, and Polymath to do regression, solve nonlinear equations, and solve single and coupled ODEs Throughout the book, icons help readers link concepts and procedures to the material on the CD-ROM for fully integrated learning and reference.

Essentials of Chemical Reaction Engineering

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Author :
Publisher : Pearson Education
ISBN 13 : 0137146124
Total Pages : 741 pages
Book Rating : 4.1/5 (371 download)

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Book Synopsis Essentials of Chemical Reaction Engineering by : H. Scott Fogler

Download or read book Essentials of Chemical Reaction Engineering written by H. Scott Fogler and published by Pearson Education. This book was released on 2011 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accompanying DVD-ROM contains many realistic, interactive simulations.

Essentials of Chemical Reaction Engineering

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Author :
Publisher : Prentice Hall
ISBN 13 : 0134664531
Total Pages : 1571 pages
Book Rating : 4.1/5 (346 download)

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Book Synopsis Essentials of Chemical Reaction Engineering by : H. Scott Fogler

Download or read book Essentials of Chemical Reaction Engineering written by H. Scott Fogler and published by Prentice Hall. This book was released on 2017-10-26 with total page 1571 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today’s Definitive, Undergraduate-Level Introduction to Chemical Reaction Engineering Problem-Solving For 30 years, H. Scott Fogler’s Elements of Chemical Reaction Engineering has been the #1 selling text for courses in chemical reaction engineering worldwide. Now, in Essentials of Chemical Reaction Engineering, Second Edition, Fogler has distilled this classic into a modern, introductory-level guide specifically for undergraduates. This is the ideal resource for today’s students: learners who demand instantaneous access to information and want to enjoy learning as they deepen their critical thinking and creative problem-solving skills. Fogler successfully integrates text, visuals, and computer simulations, and links theory to practice through many relevant examples. This updated second edition covers mole balances, conversion and reactor sizing, rate laws and stoichiometry, isothermal reactor design, rate data collection/analysis, multiple reactions, reaction mechanisms, pathways, bioreactions and bioreactors, catalysis, catalytic reactors, nonisothermal reactor designs, and more. Its multiple improvements include a new discussion of activation energy, molecular simulation, and stochastic modeling, and a significantly revamped chapter on heat effects in chemical reactors. To promote the transfer of key skills to real-life settings, Fogler presents three styles of problems: Straightforward problems that reinforce the principles of chemical reaction engineering Living Example Problems (LEPs) that allow students to rapidly explore the issues and look for optimal solutions Open-ended problems that encourage students to use inquiry-based learning to practice creative problem-solving skills About the Web Site (umich.edu/~elements/5e/index.html) The companion Web site offers extensive enrichment opportunities and additional content, including Complete PowerPoint slides for lecture notes for chemical reaction engineering classes Links to additional software, including Polymath, MATLAB, Wolfram Mathematica, AspenTech, and COMSOL Multiphysics Interactive learning resources linked to each chapter, including Learning Objectives, Summary Notes, Web Modules, Interactive Computer Games, Computer Simulations and Experiments, Solved Problems, FAQs, and links to LearnChemE Living Example Problems that provide more than 75 interactive simulations, allowing students to explore the examples and ask “what-if ” questions Professional Reference Shelf, containing advanced content on reactors, weighted least squares, experimental planning, laboratory reactors, pharmacokinetics, wire gauze reactors, trickle bed reactors, fluidized bed reactors, CVD boat reactors, detailed explanations of key derivations, and more Problem-solving strategies and insights on creative and critical thinking Register your product at informit.com/register for convenient access to downloads, updates, and/or corrections as they become available.

Chemical Reaction Engineering

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Publisher : CRC Press
ISBN 13 : 1000471411
Total Pages : 772 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Chemical Reaction Engineering by : Martin Schmal

Download or read book Chemical Reaction Engineering written by Martin Schmal and published by CRC Press. This book was released on 2021-11-09 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first English edition of this book was published in 2014. This book was originally intended for undergraduate and graduate students and had one major objective: teach the basic concepts of kinetics and reactor design. The main reason behind the book is the fact that students frequently have great difficulty to explain the basic phenomena that occur in practice. Therefore, basic concepts with examples and many exercises are presented in each topic, instead of specific projects of the industry. The main objective was to provoke students to observe kinetic phenomena and to think about them. Indeed, reactors cannot be designed and operated without knowledge of kinetics. Additionally, the empirical nature of kinetic studies is recognized in the present edition of the book. For this reason, analyses related to how experimental errors affect kinetic studies are performed and illustrated with actual data. Particularly, analytical and numerical solutions are derived to represent the uncertainties of reactant conversions in distinct scenarios and are used to analyze the quality of the obtained parameter estimates. Consequently, new topics that focus on the development of analytical and numerical procedures for more accurate description of experimental errors in reaction systems and of estimates of kinetic parameters have been included in this version of the book. Finally, kinetics requires knowledge that must be complemented and tested in the laboratory. Therefore, practical examples of reactions performed in bench and semi-pilot scales are discussed in the final chapter. This edition of the book has been organized in two parts. In the first part, a thorough discussion regarding reaction kinetics is presented. In the second part, basic equations are derived and used to represent the performances of batch and continuous ideal reactors, isothermal and non-isothermal reaction systems and homogeneous and heterogeneous reactor vessels, as illustrated with several examples and exercises. This textbook will be of great value to undergraduate and graduate students in chemical engineering as well as to graduate students in and researchers of kinetics and catalysis.

Elements of Chemical Reaction Engineering

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Author :
Publisher : Pearson
ISBN 13 : 0135486262
Total Pages : 2068 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis Elements of Chemical Reaction Engineering by : H. Scott Fogler

Download or read book Elements of Chemical Reaction Engineering written by H. Scott Fogler and published by Pearson. This book was released on 2020-08-18 with total page 2068 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Definitive Guide to Chemical Reaction Engineering Problem-Solving -- With Updated Content and More Active Learning For decades, H. Scott Fogler's Elements of Chemical Reaction Engineering has been the world's dominant chemical reaction engineering text. This Sixth Edition and integrated Web site deliver a more compelling active learning experience than ever before. Using sliders and interactive examples in Wolfram, Python, POLYMATH, and MATLAB, students can explore reactions and reactors by running realistic simulation experiments. Writing for today's students, Fogler provides instant access to information, avoids extraneous details, and presents novel problems linking theory to practice. Faculty can flexibly define their courses, drawing on updated chapters, problems, and extensive Professional Reference Shelf web content at diverse levels of difficulty. The book thoroughly prepares undergraduates to apply chemical reaction kinetics and physics to the design of chemical reactors. And four advanced chapters address graduate-level topics, including effectiveness factors. To support the field's growing emphasis on chemical reactor safety, each chapter now ends with a practical safety lesson. Updates throughout the book reflect current theory and practice and emphasize safety New discussions of molecular simulations and stochastic modeling Increased emphasis on alternative energy sources such as solar and biofuels Thorough reworking of three chapters on heat effects Full chapters on nonideal reactors, diffusion limitations, and residence time distribution About the Companion Web Site (umich.edu/~elements/6e/index.html) Complete PowerPoint slides for lecture notes for chemical reaction engineering classes Links to additional software, including POLYMATHTM, MATLABTM, Wolfram MathematicaTM, AspenTechTM, and COMSOLTM Interactive learning resources linked to each chapter, including Learning Objectives, Summary Notes, Web Modules, Interactive Computer Games, Solved Problems, FAQs, additional homework problems, and links to Learncheme Living Example Problems -- unique to this book -- that provide more than 80 interactive simulations, allowing students to explore the examples and ask "what-if" questions Professional Reference Shelf, which includes advanced content on reactors, weighted least squares, experimental planning, laboratory reactors, pharmacokinetics, wire gauze reactors, trickle bed reactors, fluidized bed reactors, CVD boat reactors, detailed explanations of key derivations, and more Problem-solving strategies and insights on creative and critical thinking Register your book for convenient access to downloads, updates, and/or corrections as they become available. See inside book for details.

Elements of Chemical Reaction Engineering

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Author :
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 1124 pages
Book Rating : 4.:/5 (891 download)

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Book Synopsis Elements of Chemical Reaction Engineering by : H. Scott Fogler

Download or read book Elements of Chemical Reaction Engineering written by H. Scott Fogler and published by Prentice Hall. This book was released on 2006 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Elements of Chemical Reaction Engineering', fourth edition, presents the fundamentals of chemical reaction engineering in a clear and concise manner.

Chemical Reactor Analysis and Design

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Publisher :
ISBN 13 :
Total Pages : 706 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Chemical Reactor Analysis and Design by : Gilbert F. Froment

Download or read book Chemical Reactor Analysis and Design written by Gilbert F. Froment and published by . This book was released on 1990-01-16 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the Second Edition of the standard text on chemical reaction engineering, beginning with basic definitions and fundamental principles and continuing all the way to practical applications, emphasizing real-world aspects of industrial practice. The two main sections cover applied or engineering kinetics, reactor analysis and design. Includes updated coverage of computer modeling methods and many new worked examples. Most of the examples use real kinetic data from processes of industrial importance.

Chemical Reaction Engineering

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Publisher : John Wiley & Sons
ISBN 13 : 047125424X
Total Pages : 689 pages
Book Rating : 4.4/5 (712 download)

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Book Synopsis Chemical Reaction Engineering by : Octave Levenspiel

Download or read book Chemical Reaction Engineering written by Octave Levenspiel and published by John Wiley & Sons. This book was released on 1998-09-01 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemical reaction engineering is concerned with the exploitation of chemical reactions on a commercial scale. It's goal is the successful design and operation of chemical reactors. This text emphasizes qualitative arguments, simple design methods, graphical procedures, and frequent comparison of capabilities of the major reactor types. Simple ideas are treated first, and are then extended to the more complex.

Separation Process Engineering

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Publisher : Prentice Hall
ISBN 13 : 0131382276
Total Pages : 992 pages
Book Rating : 4.1/5 (313 download)

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Book Synopsis Separation Process Engineering by : Phillip C. Wankat

Download or read book Separation Process Engineering written by Phillip C. Wankat and published by Prentice Hall. This book was released on 2012 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Definitive, Fully Updated Guide to Separation Process Engineering-Now with a Thorough Introduction to Mass Transfer Analysis Separation Process Engineering, Third Edition, is the most comprehensive, accessible guide available on modern separation processes and the fundamentals of mass transfer. Phillip C. Wankat teaches each key concept through detailed, realistic examples using real data-including up-to-date simulation practice and new spreadsheet-based exercises. Wankat thoroughly covers each of today's leading approaches, including flash, column, and batch distillation; exact calculations and shortcut methods for multicomponent distillation; staged and packed column design; absorption; stripping; and more. In this edition, he also presents the latest design methods for liquid-liquid extraction. This edition contains the most detailed coverage available of membrane separations and of sorption separations (adsorption, chromatography, and ion exchange). Updated with new techniques and references throughout, Separation Process Engineering, Third Edition, also contains more than 300 new homework problems, each tested in the author's Purdue University classes. Coverage includes Modular, up-to-date process simulation examples and homework problems, based on Aspen Plus and easily adaptable to any simulator Extensive new coverage of mass transfer and diffusion, including both Fickian and Maxwell-Stefan approaches Detailed discussions of liquid-liquid extraction, including McCabe-Thiele, triangle and computer simulation analyses; mixer-settler design; Karr columns; and related mass transfer analyses Thorough introductions to adsorption, chromatography, and ion exchange-designed to prepare students for advanced work in these areas Complete coverage of membrane separations, including gas permeation, reverse osmosis, ultrafiltration, pervaporation, and key applications A full chapter on economics and energy conservation in distillation Excel spreadsheets offering additional practice with problems in distillation, diffusion, mass transfer, and membrane separation

Fundamentals of Chemical Reaction Engineering

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Publisher : Courier Corporation
ISBN 13 : 0486291316
Total Pages : 385 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Fundamentals of Chemical Reaction Engineering by : Mark E. Davis

Download or read book Fundamentals of Chemical Reaction Engineering written by Mark E. Davis and published by Courier Corporation. This book was released on 2013-05-27 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Appropriate for a one-semester undergraduate or first-year graduate course, this text introduces the quantitative treatment of chemical reaction engineering. It covers both homogeneous and heterogeneous reacting systems and examines chemical reaction engineering as well as chemical reactor engineering. Each chapter contains numerous worked-out problems and real-world vignettes involving commercial applications, a feature widely praised by reviewers and teachers. 2003 edition.

Analysis, Synthesis, and Design of Chemical Processes

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Publisher : Prentice Hall
ISBN 13 : 0134177657
Total Pages : 2388 pages
Book Rating : 4.1/5 (341 download)

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Book Synopsis Analysis, Synthesis, and Design of Chemical Processes by : Richard Turton

Download or read book Analysis, Synthesis, and Design of Chemical Processes written by Richard Turton and published by Prentice Hall. This book was released on 2018-06-15 with total page 2388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Leading Integrated Chemical Process Design Guide: With Extensive Coverage of Equipment Design and Other Key Topics More than ever, effective design is the focal point of sound chemical engineering. Analysis, Synthesis, and Design of Chemical Processes, Fifth Edition, presents design as a creative process that integrates the big-picture and small details, and knows which to stress when and why. Realistic from start to finish, it moves readers beyond classroom exercises into open-ended, real-world problem solving. The authors introduce up-to-date, integrated techniques ranging from finance to operations, and new plant design to existing process optimization. The fifth edition includes updated safety and ethics resources and economic factors indices, as well as an extensive, new section focused on process equipment design and performance, covering equipment design for common unit operations, such as fluid flow, heat transfer, separations, reactors, and more. Conceptualization and analysis: process diagrams, configurations, batch processing, product design, and analyzing existing processes Economic analysis: estimating fixed capital investment and manufacturing costs, measuring process profitability, and more Synthesis and optimization: process simulation, thermodynamic models, separation operations, heat integration, steady-state and dynamic process simulators, and process regulation Chemical equipment design and performance: a full section of expanded and revamped coverage of designing process equipment and evaluating the performance of current equipment Advanced steady-state simulation: goals, models, solution strategies, and sensitivity and optimization results Dynamic simulation: goals, development, solution methods, algorithms, and solvers Societal impacts: ethics, professionalism, health, safety, environmental issues, and green engineering Interpersonal and communication skills: working in teams, communicating effectively, and writing better reports This text draws on a combined 55 years of innovative instruction at West Virginia University (WVU) and the University of Nevada, Reno. It includes suggested curricula for one- and two-semester design courses, case studies, projects, equipment cost data, and extensive preliminary design information for jump-starting more detailed analyses.

Chemical Reactor Omnibook- soft cover

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Publisher : Lulu.com
ISBN 13 : 1300991844
Total Pages : 731 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Chemical Reactor Omnibook- soft cover by : Octave Levenspiel

Download or read book Chemical Reactor Omnibook- soft cover written by Octave Levenspiel and published by Lulu.com. This book was released on 2013 with total page 731 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Omnibook aims to present the main ideas of reactor design in a simple and direct way. it includes key formulas, brief explanations, practice exercises, problems from experience and it skims over the field touching on all sorts of reaction systems. Most important of all it tries to show the reader how to approach the problems of reactor design and what questions to ask. In effect it tries to show that a common strategy threads its way through all reactor problems, a strategy which involves three factors: identifying the flow patter, knowing the kinetics, and developing the proper performance equation. It is this common strategy which is the heart of Chemical Reaction Engineering and identifies it as a distinct field of study.

An Introduction to Chemical Engineering Kinetics & Reactor Design

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Publisher : Рипол Классик
ISBN 13 : 5881475321
Total Pages : 594 pages
Book Rating : 4.8/5 (814 download)

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Book Synopsis An Introduction to Chemical Engineering Kinetics & Reactor Design by : Charles G. Hill

Download or read book An Introduction to Chemical Engineering Kinetics & Reactor Design written by Charles G. Hill and published by Рипол Классик. This book was released on 1977 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Physical and Chemical Equilibrium for Chemical Engineers

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Publisher : John Wiley & Sons
ISBN 13 : 0470927100
Total Pages : 384 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis Physical and Chemical Equilibrium for Chemical Engineers by : Noel de Nevers

Download or read book Physical and Chemical Equilibrium for Chemical Engineers written by Noel de Nevers and published by John Wiley & Sons. This book was released on 2012-03-20 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concentrates on the topic of physical and chemical equilibrium. Using the simplest mathematics along with numerous numerical examples it accurately and rigorously covers physical and chemical equilibrium in depth and detail. It continues to cover the topics found in the first edition however numerous updates have been made including: Changes in naming and notation (the first edition used the traditional names for the Gibbs Free Energy and for Partial Molal Properties, this edition uses the more popular Gibbs Energy and Partial Molar Properties,) changes in symbols (the first edition used the Lewis-Randal fugacity rule and the popular symbol for the same quantity, this edition only uses the popular notation,) and new problems have been added to the text. Finally the second edition includes an appendix about the Bridgman table and its use.

Chemical Engineering Design

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Publisher : Elsevier
ISBN 13 : 0080966608
Total Pages : 1320 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Chemical Engineering Design by : Gavin Towler

Download or read book Chemical Engineering Design written by Gavin Towler and published by Elsevier. This book was released on 2012-01-25 with total page 1320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemical Engineering Design, Second Edition, deals with the application of chemical engineering principles to the design of chemical processes and equipment. Revised throughout, this edition has been specifically developed for the U.S. market. It provides the latest US codes and standards, including API, ASME and ISA design codes and ANSI standards. It contains new discussions of conceptual plant design, flowsheet development, and revamp design; extended coverage of capital cost estimation, process costing, and economics; and new chapters on equipment selection, reactor design, and solids handling processes. A rigorous pedagogy assists learning, with detailed worked examples, end of chapter exercises, plus supporting data, and Excel spreadsheet calculations, plus over 150 Patent References for downloading from the companion website. Extensive instructor resources, including 1170 lecture slides and a fully worked solutions manual are available to adopting instructors. This text is designed for chemical and biochemical engineering students (senior undergraduate year, plus appropriate for capstone design courses where taken, plus graduates) and lecturers/tutors, and professionals in industry (chemical process, biochemical, pharmaceutical, petrochemical sectors). New to this edition: Revised organization into Part I: Process Design, and Part II: Plant Design. The broad themes of Part I are flowsheet development, economic analysis, safety and environmental impact and optimization. Part II contains chapters on equipment design and selection that can be used as supplements to a lecture course or as essential references for students or practicing engineers working on design projects. New discussion of conceptual plant design, flowsheet development and revamp design Significantly increased coverage of capital cost estimation, process costing and economics New chapters on equipment selection, reactor design and solids handling processes New sections on fermentation, adsorption, membrane separations, ion exchange and chromatography Increased coverage of batch processing, food, pharmaceutical and biological processes All equipment chapters in Part II revised and updated with current information Updated throughout for latest US codes and standards, including API, ASME and ISA design codes and ANSI standards Additional worked examples and homework problems The most complete and up to date coverage of equipment selection 108 realistic commercial design projects from diverse industries A rigorous pedagogy assists learning, with detailed worked examples, end of chapter exercises, plus supporting data and Excel spreadsheet calculations plus over 150 Patent References, for downloading from the companion website Extensive instructor resources: 1170 lecture slides plus fully worked solutions manual available to adopting instructors

Catalytic Reactors

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110390124
Total Pages : 356 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Catalytic Reactors by : Basudeb Saha

Download or read book Catalytic Reactors written by Basudeb Saha and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-01-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reactor design for Chemical Engineering deals with maximization of product yields and the net present value for the chemical reaction, optimization of the reaction efficiency, and minimization of costs. This book discusses the best choice of catalysts, different reaction steps and intermediates and the design of the catalytic reactors, in which the catalysis and chemical reaction are combined to achieve intensification.