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

Scaling 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.

Spis treści:
1. Introduction.
1.1 Motivation for Using Scaling Analysis.
1.2 Organization of this Book.
2. Systematic Method for Scaling Analysis.
2.1 Introduction.
2.2 Mathematical Basis for Scaling Analysis.
2.3 Order–of–One Scaling Analysis.
2.4 The Scaling Alternative for Dimensional Analysis.
2.5 Summary.
3. Applications in Fluid Dynam ics.
3.1 Introduction.
3.2 Fully Developed Laminar Flow.
3.3 Creeping and Lubrication–Flow Approximations.
3.4 Boundary–Layer Flow Approximation.
3.5 Quasi–Steady–State Flow Approximation.
3.6 Flows with End and Sidewall Effects.
3.7 Free Surface Flow.
3.8 Porous Media Flow.
3.9 Compressible Fluid Flow.
3.10 Dimensional Analysis Correlation for the Terminal Velocity of a Sphere.
3.11 Summary.
3.E Example Problems.
3.E.1 Gravity–Driven Laminar Film Flow down a Vertical Wall.
3.E.2 Flow between Two Approaching Parallel Circular Flat Plates.
3.E.3 Design of a Hydraulic Ram.
3.E.4 Rotating Disk Flow.
3.E.5 Entry Region Flow between Parallel Plates.
3.E.6 Rotating Flow in an Annulus with End Effects.
3.E.7 Impulsively Initiated Pressure–Driven Laminar Tube Flow.
3.E.8 Laminar Cylindrical Jet Flow.
3.E.9 Gravity–Driven Film Flow over Saturated Porous Media.
3.E.10 Flow in a Hollow Fiber Membrane with Permeation.
3.E.11 Falling Head Method for Determining Soil Permeability.
3.P Practice Problems.
3.P.1 Alternate Scales for Laminar Flow between Stationary and Moving Parallel Plates.
3.P.2 Laminar Flow between Stationary and Moving Parallel Plates.
3.P.3 Gravity– and Pressure–Driven Laminar Flow in a Vertical Tube.
3.P.4 Axial Flow in a Rotating Tube.
3.P.5 Laminar Flow between Converging Flat Plates.
3.P.6 Laminar Flow between Diverging Flat Plates.
3.P.7 Laminar Flow in a Diverging Nozzle.
3.P.8 Steady–State Flow between Parallel Circular Disks.
3.P.9 Unsteady–State Flow between Parallel Circular Disks .
3.P.10 Steady–State Flow between Spinning Parallel Circular Disks.
3.P.11 Lubrication–Flow Approximation for a Hydraulic Ram.
3.P.12 Flow in a Rotating Disk Viscometer.
3.P.13 Flow in an Oscillating Disk Viscometer.
3.P.14 Falling Needle Viscometer.
3.P.15 Leading Edge Conside rations for Laminar Boundary–Layer Flow.
3.P.16 Laminar Boundary–Layer Flow with Blowing.
3.P.17 Laminar Boundary–Layer Flow with Suction.
3.P.18 Entry Region Laminar Flow in a Cylindrical Tube.
3.P.19 Pressure–Driven Flow in an Oscillating Tube.
3.P.20 Countercurrent Liquid–Gas Flow in a Cylindrical Tube.
3.P.21 Stratified Flow of Two Immiscible Liquid Layers.
3.P.22 Laminar Cylindrical Jet Flow.
3.P.23 Free Surface Flow down a Plane with Condensation.
3.P.24 Free Surface Flow over a Horizontal Filter.
3.P.25 Curtain–Coating Flow.
3.P.26 Flow in a Semi–Infinite Porous Media Bounded by a Flat Plate.
3.P.27 Porous Media Flow between Parallel Flat Plates.
3.P.28 Gravity–Driven Film Flow over a Saturated Porous Media.
3.P.29 Radial Flow from a Porous Cylindrical Tube.
3.P.30 Entry–Region Flow in a Tube with a Porous Annulus .
3.P.31 Steady–State Laminar Flow of a Compressible Gas..
3.P.32 Velocity Profile Distortion Effects Owing to Fluid Injection and Withdrawal .
3.P.33 Flow between Parallel Impermeable and Permeable Flat Plates.
3.P.34 Flow in an Annulus with Fluid Injection and Withdrawal.
3.P.35 Flow in a Closed–End Permeable Hollow Fiber Membrane.
3.P.36 Dimensional Analysis for Flow around a Falling Sphere.
3.P.37 Dimensional Analysis for Impulsively Initiated Laminar Tube Flow.
3.P.38 Dimensional Analysis for Flow in an Oscillating Tube.
3.P.39 Dimensional Analysis for Curtain–Coating Flow.
3.P.40 Dimensional Analysis for Flow between Parallel Membranes.
3.P.41 Dimensional Analysis for Flow in a Hollow Fiber Membrane.
4. Applications in Heat Transfer.
4.1 Introduction.
4.2 Steady–State Heat Transfer with End Effects.
4.3 Film Theory and Penetration Theory Approximations.
4.4 Small Biot Number Approximation.
4.5 Small Peclet number approximation.
4.6 Boundary–Layer or Large Peclet Number Approximation.
4.7 Heat Transfer with Phase Change.
4.8 Temperature–Dependent Physical Properties.
4.9 Thermally Driven Free Convection – the Boussinesq Approximation.
4.10 Dimensional Analysis Correlation for Cooking a Turkey.
4.11 Summary.
4.E Example Problems.
4.E.1 Steady–State Heat Conduction in a Rectangular Fin.
4.E.2 Unsteady–State Resistance Heating in a Wire.
4.E.3 Convective Heat Transfer with Injection through Permeable Walls.
4.E.4 Steady–State Heat Transfer to Falling Film Flow.
4.E.5 Unsteady–State Heat Transfer from a Sphere at Large Biot Numbers.
4.E.6 Evaporative Cooling of a Liquid Film.
4.E.7 Free convection Heat Transfer Adjacent to a Vertical Heated Flat Plate.
4.E.8 Dimensional Analysis Correlation for Electrical Heat Generation in a Wire.
4.P Practice Problems.
4.P.1 Steady–State Heat Conduction in a Slab with Specified Cooling Flux.
4.P.2 Steady–State Conduction in a Slab with Specified Heat Flux.
4.P.3 Steady–State Heat Conduction in a Rectangular Parallelepiped.
4.P.4 Steady–State Conduction in a Cylinder with Specified Temperatures at its Boundaries.
4.P.5 Steady–State Conduction in an Annulus with Specified Temperatures at its Boundaries.
4.P.6 Steady–State Heat Conduction in a Circular Fin.
4.P.7 Unsteady–State Axial Heat Conduction in a Solid Cylinder.
4.P.8 Unsteady–State Radial Heat Conduction in a Solid Cylinder.
4.P.9 Unsteady–State Radial Heat Cconduction in a Spherical Shell.
4.P.10 Steady–State Conduction in a Cylinder with External Phase Convection.
4.P.11 Unsteady–State Heat Transfer to a Sphere at Small Biot Numbers.
4.P.12 Unsteady–State Heat Transfer in a Solid Sphere.
4.P.13 Unsteady–State Convective Heat Transfer to a Plane Wall.
4.P.14 Unsteady–State Convective Heat Transfer to a Solid Cylinder.
4.P.