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

    ISBN-10: 0471772615
    ISBN-13: 9780471772613
    Edition: 2007
    Author(s): William B. Krantz
    Description: 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  More...
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    List Price: $165.00
    Copyright Year: 2007
    Publisher: American Institute of Chemical Engineers
    Publication Date: 6/29/2007
    Binding: Hardcover
    Pages: 544
    Size: 6.50" wide x 9.50" long x 1.25" tall
    Weight: 1.980
    Language: English

    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.

    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

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