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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 | |