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| Preface | |
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| Acknowledgments | |
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| Introduction | |
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| Motivation for Using Scaling Analysis | |
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| Organization of the Book | |
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| Systematic Method for Scaling Analysis | |
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| Introduction | |
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| Mathematical Basis for Scaling Analysis | |
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| Order-of-One Scaling Analysis | |
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| Scaling Alternative for Dimensional Analysis | |
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| Summary | |
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| Applications in Fluid Dynamics | |
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| Introduction | |
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| Fully Developed Laminar Flow | |
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| Creeping- and Lubrication-Flow Approximations | |
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| Boundary-Layer-Flow Approximation | |
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| Quasi-Steady-State-Flow Approximation | |
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| Flows with End and Sidewall Effects | |
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| Free Surface Flow | |
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| Porous Media Flow | |
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| Compressible Fluid Flow | |
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| Dimensional Analysis Correlation for the Terminal Velocity | |
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| Summary | |
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| 3.E Example Problems | |
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| 3.P Practice Problems | |
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| Applications in Heat Transfer | |
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| Introduction | |
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| Steady-State Heat Transfer with End Effects | |
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| Film and Penetration Theory Approximations | |
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| Small Biot Number Approximation | |
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| Small Peclet Number Approximation | |
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| Boundary-Layer or Large Peclet Number Approximation | |
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| Heat Transfer with Phase Change | |
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| Temperature-Dependent Physical Properties | |
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| Thermally Driven Free Convection: Boussinesq Approximation | |
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| Dimensional Analysis Correlation for Cooking a Turkey | |
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| Summary | |
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| 4.E Example Problems | |
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| 4.P Practice Problems | |
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| Applications in Mass Transfer | |
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| Introduction | |
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| Film Theory Approximation | |
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| Penetration Theory Approximation | |
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| Small Peclet Number Approximation | |
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| Small Damkohler Number Approximation | |
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| Large Peclet Number Approximation | |
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| Quasi-Steady-State Approximation | |
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| Membrane Permeation with Nonconstant Diffusivity | |
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| Solutally Driven Free Convection Due to Evapotranspiration | |
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| Dimensional Analysis for a Membrane-Lung Oxygenator | |
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| Summary | |
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| 5.E Example Problems | |
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| 5.P Practice Problems | |
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| Applications in Mass Transfer with Chemical Reaction | |
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| Introduction | |
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| Concept of the Microscale Element | |
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| Scaling the Microscale Element | |
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| Slow Reaction Regime | |
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| Intermediate Reaction Regime | |
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| Fast Reaction Regime | |
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| Instantaneous Reaction Regime | |
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| Scaling the Macroscale Element | |
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| Kinetic Domain of the Slow Reaction Regime | |
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| Diffusional Domain of the Slow Reaction Regime | |
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| Implications of Scaling Analysis for Reactor Design | |
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| Mass-Transfer Coefficients for Reacting Systems | |
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| Design of a Continuous Stirred Tank Reactor | |
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| Design of a Packed Column Absorber | |
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| Summary | |
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| 6.P Practice Problems | |
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| Applications in Process Design | |
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| Introduction | |
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| Design of a Membrane Lung Oxygenator | |
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| Pulsed Single-Bed Pressure-Swing Adsorption | |
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| Thermally Induced Phase-Separation Process | |
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| Fluid-Wall Aerosol Flow Reactor for Hydrogen Production | |
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| Summary | |
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| 7.P Practice Problems | |
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| Sign Convention for the Force on a Fluid Particle | |
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| Generalized Form of the Transport Equations | |
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| Continuity Equation | |
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| Equations of Motion | |
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| Equations of Motion for Porous Media | |
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| Thermal Energy Equation | |
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| Equation of Continuity for a Binary Mixture | |
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| Continuity Equation | |
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| Rectangular Coordinates | |
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| Cylindrical Coordinates | |
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| Spherical Coordinates | |
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| Equations of Motion | |
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| Rectangular Coordinates | |
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| Cylindrical Coordinates | |
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| Spherical Coordinates | |
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| Equations of Motion for Porous Media | |
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| Rectangular Coordinates | |
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| Cylindrical Coordinates | |
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| Spherical Coordinates | |
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| Thermal Energy Equation | |
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| Rectangular Coordinates | |
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| Cylindrical Coordinates | |
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| Spherical Coordinates | |
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| Equation of Continuity for a Binary Mixture | |
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| Rectangular Coordinates | |
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| Cylindrical Coordinates | |
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| Spherical Coordinates | |
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| Integral Relationships | |
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| Leibnitz Formula for Differentiating an Integral | |
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| Gauss Ostrogradskii Divergence Theorem | |
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| Notation | |
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| Index | |