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Scaling Analysis in Modeling Transport and Reaction Processes A Systematic Approach to Model Building and the Art of Approximation

Krantz, William B.
ISBN-10: 0471772615
ISBN-13: 9780471772613

In our Marketplace:
3 new & used from $81.00
William B. Krantz, PhD, PE, is the Isaac M. Meyer Chair Professor in the Department of Chemical and Biomolecular Engineering at the National University of SingaporeScaling analysis takes the guesswork out of developing and using models Scaling analysis facilitates assessing the viability of a process or technology without the need for prior bench- or pilot-scale data.
It also provides a template for the design of experiments used to explore a new process or to validate a mathematical model. The first comprehensive book to focus on systematic scaling analysis while spanning various disciplines and applications, Scaling Analysis in Modeling Transport and Reaction Processes: Provides an overview of the systematic approach to scaling analysis, including the mathematical basis Includes detailed chapters that cover specific applications in fluid dynamics, heat transfer, mass transfer, mass transfer with chemical reaction, and process design Addresses scaling analysis across scientific disciplines and enhances communication across different research areas of applied science, including biology, chemistry, and physics Has sixty-two detailed examples that illustrate the scaling method in various applications, as well as chapter-end problems (165 total) that can be used for independent study or as a class assignment Invaluable for researchers, scientists, and engineers involved in developing and solving models and in designing experiments, this reference is also a great textbook for courses in chemical or mechanical engineering, heat and mass transfer, transport phenomena, mathematical modeling, unit operations, and fluid dynamics.Providing in-depth information on systematic scaling analysis in diverse disciplines, this book is logically divided into chapters on the use of systematic scaling analysis in fluid dynamics, heat transfer, mass transfer, and reaction processes.Scaling Analysis in Modeling Transport and Reaction Processes is the first book to provide in-depth information on systematic scaling analysis in diverse disciplines. It islogically divided into chapters on the use of systematic scaling analysis in fluid dynamics, heat transfer, mass transfer, and reaction processes. Each chapter includes several problems that are explained in considerable detail,followed by several worked examples for which the general outline for the scaling is given.This book is unique as the first effort to expound on the subject of systematic scaling analysis. Not written for a specific discipline, the book targets any reader interested in transport phenomena and reaction processes. The book is logically divided into chapters on the use of systematic scaling analysis in fluid dynamics, heat transfer, mass transfer, and reaction processes. An integrating chapter is included that considers more complex problems involving combined transport phenomena. Each chapter includes several problems that are explained in considerable detail. These are followed by several worked examples for which the general outline for the scaling is given. Each chapter also includes many practice problems. This book is based on recognizing the value of systematic scaling analysis as a pedagogical method for teaching transport and reaction processes and as a research tool for developing and solving models and in designing experiments. Thus, the book can serve as both a textbook and a reference book.
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Preface
Acknowledgments
Introduction
Motivation for Using Scaling Analysis
Organization of the Book
Systematic Method for Scaling Analysis
Introduction
Mathematical Basis for Scaling Analysis
Order-of-One Scaling Analysis
Scaling Alternative for Dimensional Analysis
Summary
Applications in Fluid Dynamics
Introduction
Fully Developed Laminar Flow
Creeping- and Lubrication-Flow Approximations
Boundary-Layer-Flow Approximation
Quasi-Steady-State-Flow Approximation
Flows with End and Sidewall Effects
Free Surface Flow
Porous Media Flow
Compressible Fluid Flow
Dimensional Analysis Correlation for the Terminal Velocity
Summary
3.E Example Problems
3.P Practice Problems
Applications in Heat Transfer
Introduction
Steady-State Heat Transfer with End Effects
Film and Penetration Theory Approximations
Small Biot Number Approximation
Small Peclet Number Approximation
Boundary-Layer or Large Peclet Number Approximation
Heat Transfer with Phase Change
Temperature-Dependent Physical Properties
Thermally Driven Free Convection: Boussinesq Approximation
Dimensional Analysis Correlation for Cooking a Turkey
Summary
4.E Example Problems
4.P Practice Problems
Applications in Mass Transfer
Introduction
Film Theory Approximation
Penetration Theory Approximation
Small Peclet Number Approximation
Small Damkohler Number Approximation
Large Peclet Number Approximation
Quasi-Steady-State Approximation
Membrane Permeation with Nonconstant Diffusivity
Solutally Driven Free Convection Due to Evapotranspiration
Dimensional Analysis for a Membrane-Lung Oxygenator
Summary
5.E Example Problems
5.P Practice Problems
Applications in Mass Transfer with Chemical Reaction
Introduction
Concept of the Microscale Element
Scaling the Microscale Element
Slow Reaction Regime
Intermediate Reaction Regime
Fast Reaction Regime
Instantaneous Reaction Regime
Scaling the Macroscale Element
Kinetic Domain of the Slow Reaction Regime
Diffusional Domain of the Slow Reaction Regime
Implications of Scaling Analysis for Reactor Design
Mass-Transfer Coefficients for Reacting Systems
Design of a Continuous Stirred Tank Reactor
Design of a Packed Column Absorber
Summary
6.P Practice Problems
Applications in Process Design
Introduction
Design of a Membrane Lung Oxygenator
Pulsed Single-Bed Pressure-Swing Adsorption
Thermally Induced Phase-Separation Process
Fluid-Wall Aerosol Flow Reactor for Hydrogen Production
Summary
7.P Practice Problems
Sign Convention for the Force on a Fluid Particle
Generalized Form of the Transport Equations
Continuity Equation
Equations of Motion
Equations of Motion for Porous Media
Thermal Energy Equation
Equation of Continuity for a Binary Mixture
Continuity Equation
Rectangular Coordinates
Cylindrical Coordinates
Spherical Coordinates
Equations of Motion
Rectangular Coordinates
Cylindrical Coordinates
Spherical Coordinates
Equations of Motion for Porous Media
Rectangular Coordinates
Cylindrical Coordinates
Spherical Coordinates
Thermal Energy Equation
Rectangular Coordinates
Cylindrical Coordinates
Spherical Coordinates
Equation of Continuity for a Binary Mixture
Rectangular Coordinates
Cylindrical Coordinates
Spherical Coordinates
Integral Relationships
Leibnitz Formula for Differentiating an Integral
Gauss Ostrogradskii Divergence Theorem
Notation
Index


List price: $150.00
Edition: 2007
Publisher: American Institute of Chemical Engineers
Binding: Trade Cloth
Pages: 530
Size: 6.42" wide x 9.21" long x 1.26" tall
Weight: 1.98 lbs.
Language: English

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