Advanced transport phenomena : fluid mechanics and convective transport processes /

"Advanced Transport Phenomena is ideal as a graduate textbook. It contains a detailed discussion of modern analytic methods for the solution of fluid mechanics, and heat and mass transfer problems, focusing on approximations based upon scaling and asymptotic methods, beginning with the derivati...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Leal, L. Gary
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2007.
Colección:Cambridge series in chemical engineering.
Temas:
Fluid mechanics > Textbooks.
Transport theory > Textbooks.
Continuum mechanics > Textbooks.
TECHNOLOGY & ENGINEERING > Chemical & Biochemical.
SCIENCE > Chemistry > Industrial & Technical.
Continuum mechanics.
Fluid mechanics.
Transport theory.
Textbooks.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Half-title
  • Series-title
  • Title
  • Copyright
  • Contents
  • Preface
  • THE SCOPE OF THIS BOOK
  • Acknowledgments
  • 1 A Preview
  • A.A BRIEF HISTORICAL PERSPECTIVE OF TRANSPORT PHENOMENA IN CHEMICAL ENGINEERING
  • B. THE NATURE OF THE SUBJECT
  • C.A BRIEF DESCRIPTION OF THE CONTENTS OF THIS BOOK
  • Chapter 2: The Basic Principles
  • Chapter 3: Unidirectional and One-Dimensional Flow and Heat Transfer Problems
  • Chapter 4: An Introduction to Asymptotic Approximations
  • Chapter 5: The Thin-Gap Aproximation
  • Lubrication Problems
  • Chapter 6: The Thin-Gap Approximation
  • Films with a Free Surface
  • Chapter 7: Creeping Flows (Two-Dimensional and Axisymmetric Problems)
  • Chapter 8: Creeping Flows (Three-Dimensional Problems)
  • Chapter 9: Convection Effects and Heat Transfer for Viscous Flows
  • Chapter 10: Boundary-Layer Theory for Laminar Flows
  • Chapter 11: Heat and Mass Transfer at Large Reynolds Number
  • Chapter 12: Hydrodynamic Stability
  • NOTES AND REFERENCES
  • 2 Basic Principles
  • A. THE CONTINUUM APPROXIMATION
  • 1. Foundations
  • 2. Consequences
  • B. CONSERVATION OF MASS
  • THE CONTINUITY EQUATION
  • C. NEWTON'S LAWS OF MECHANICS
  • D. CONSERVATION OF ENERGY AND THE ENTROPY INEQUALITY
  • E. CONSTITUTIVE EQUATIONS
  • F. FLUID STATICS
  • THE STRESS TENSOR FOR A STATIONARY FLUID
  • G. THE CONSTITUTIVE EQUATION FOR THE HEAT FLUX VECTOR
  • FOURIER'S LAW
  • H. CONSTITUTIVE EQUATIONS FOR A FLOWING FLUID
  • THE NEWTONIAN FLUID
  • I. THE EQUATIONS OF MOTION FOR A NEWTONIAN FLUID
  • THE NAVIER-STOKES EQUATION
  • J. COMPLEX FLUIDS
  • ORIGINS OF NON-NEWTONIAN BEHAVIOR
  • K. CONSTITUTIVE EQUATIONS FOR NON-NEWTONIAN FLUIDS
  • L. BOUNDARY CONDITIONS AT SOLID WALLS AND FLUID INTERFACES
  • 1. The Kinematic Condition
  • 2. Thermal Boundary Conditions
  • 3. The Dynamic Boundary Condition.
  • M. FURTHER CONSIDERATIONS OF THE BOUNDARY CONDITIONS AT THE INTERFACE BETWEEN TWO PURE FLUIDS
  • THE STRESS CONDITIONS
  • 1. Generalization of the Kinematic Boundary Condition for an Interface
  • 2. The Stress Conditions
  • 3. The Normal-Stress Balance and Capillary Flows
  • 4. The Tangential-Stress Balance and Thermocapillary Flows
  • N. THE ROLE OF SURFACTANTS IN THE BOUNDARY CONDITIONS AT A FLUID INTERFACE
  • NOTES AND REFERENCES
  • PROBLEMS
  • 3 Unidirectional and One-Dimensional Flow and Heat Transfer Problems
  • A. SIMPLIFICATION OF THE NAVIER-STOKES EQUATIONS FOR UNIDIRECTIONAL FLOWS
  • B. STEADY UNIDIRECTIONAL FLOWS
  • NONDIMENSIONALIZATION AND CHARACTERISTIC SCALES
  • C. CIRCULAR COUETTE FLOW
  • A ONE-DIMENSIONAL ANALOG TO UNIDIRECTIONAL FLOWS
  • D. START-UP FLOW IN A CIRCULAR TUBE
  • SOLUTION BY SEPARATION OF VARIABLES
  • E. THE RAYLEIGH PROBLEM
  • SOLUTION BY SIMILARITY TRANSFORMATION
  • F. START-UP OF SIMPLE SHEAR FLOW
  • G. SOLIDIFICATION AT A PLANAR INTERFACE
  • H. HEAT TRANSFER IN UNIDIRECTIONAL FLOWS
  • 1. Steady-State Heat Transfer in Fully Developed Flow through a Heated (or Cooled) Section of a Circular Tube
  • 2. Taylor Dispersion in a Circular Tube
  • I. PULSATILE FLOW IN A CIRCULAR TUBE
  • NOTES
  • PROBLEMS
  • 4 An Introduction to Asymptotic Approximations
  • A. PULSATILE FLOW IN A CIRCULAR TUBE REVISITED
  • ASYMPTOTIC SOLUTIONS FOR HIGH AND LOW FREQUENCIES
  • 1. Asymptotic Solution for R ...
  • 2. Asymptotic Solution for R ...
  • B. ASYMPTOTIC EXPANSIONS
  • GENERAL CONSIDERATIONS
  • C. THE EFFECT OF VISCOUS DISSIPATION ON A SIMPLE SHEAR FLOW
  • D. THE MOTION OF A FLUID THROUGH A SLIGHTLY CURVED TUBE
  • THE DEAN PROBLEM
  • E. FLOW IN A WAVY-WALL CHANNEL
  • "DOMAIN PERTURBATION METHOD"
  • 1. Flow Parallel to the Corrugation Grooves
  • 2. Flow Perpendicular to the Corrugation Grooves.
  • F. DIFFUSION IN A SPHERE WITH FAST REACTION
  • "SINGULAR PERTURBATION THEORY"
  • G. BUBBLE DYNAMICS IN A QUIESCENT FLUID
  • 1. The Rayleigh-Plesset Equation
  • 2. Equilibrium Solutions and Their Stability
  • 3. Bubble Oscillations Due to Periodic Pressure Oscillations
  • Resonance and Multiple-Time-Scale-Analysis
  • 4. Stability to Nonspherical Disturbances
  • NOTES
  • PROBLEMS
  • 5 The Thin-Gap Approximation
  • Lubrication Problems
  • A. THE ECCENTRIC CYLINDER PROBLEM
  • 1. The Narrow-Gap Limit
  • Governing Equations and Solutions
  • 2. Lubrication Forces
  • B. DERIVATION OF THE BASIC EQUATIONS OF LUBRICATION THEORY
  • C. APPLICATIONS OF LUBRICATION THEORY
  • 1. The Slider-Block Problem
  • 2. The Motion of a Sphere Toward a Solid, Plane Boundary
  • D. THE AIR HOCKEY TABLE
  • 1. The Lubrication Limit ...
  • 2. The Uniform Blowing Limit ...
  • a. Re ...
  • b. Re ...
  • NOTES
  • PROBLEMS
  • 6 The Thin-Gap Approximation
  • Films with a Free Surface
  • A. DERIVATION OF THE GOVERNING EQUATIONS
  • 1. The Basic Equations and Boundary Conditions
  • 2. Simplification of the Interface Boundary Conditions for a Thin Film
  • 3. Derivation of the Dynamical Equation for h(xs, t)
  • B. SELF-SIMILAR SOLUTIONS OF NONLINEAR DIFFUSION EQUATIONS
  • C. FILMS WITH A FREE SURFACE
  • SPREADING FILMS Alpha= 0
  • 1. Gravitational Spreading
  • 2. Capillary Spreading
  • D. THE DYNAMICS OF A THIN FILM IN THE PRESENCE OF VAN DER WAALS FORCES
  • 1. Linear Stability
  • 2. Similarity Solutions for Film Rupture
  • E. SHALLOW-CAVITY FLOWS
  • 1. The Horizontal, Enclosed Shallow Cavity
  • 2. The Horizontal Shallow Cavity with a Free Surface
  • a. Solution by means of the classical thin-film analysis
  • b. Solution by means of the method of domain perturbations
  • c. The end regions
  • 3. Thermocapillary Flow in a Thin Cavity
  • a. Solution by means of the classical thin-film analysis.
  • B. Thin-film solution procedure
  • c. Solution by the domain perturbation method for ...
  • NOTES
  • PROBLEMS
  • 7 Creeping Flows
  • Two-Dimensional and Axisymmetric Problems
  • A. NONDIMENSIONALIZATION AND THE CREEPING-FLOW EQUATIONS
  • B. SOME GENERAL CONSEQUENCES OF LINEARITY AND THE CREEPING-FLOW EQUATIONS
  • 1. The Drag on Bodies That Are Mirror Images in the Direction of Motion
  • 2. The Lift on a Sphere That is Rotating in a Simple Shear Flow
  • 3. Lateral Migration of a Sphere in Poiseuille Flow
  • 4. Resistance Matrices for the Force and Torque on a Body in Creeping Flow
  • C. REPRESENTATION OF TWO-DIMENSIONAL AND AXISYMMETRIC FLOWS IN TERMS OF THE STREAMFUNCTION
  • D. TWO-DIMENSIONAL CREEPING FLOWS: SOLUTIONS BY MEANS OF EIGENFUNCTION EXPANSIONS (SEPARATION OF VARIABLES)
  • 1. General Eigenfunction Expansions in Cartesian and Cylindrical Coordinates
  • 2. Application to Two-Dimensional Flow near Corners
  • E. AXISYMMETRIC CREEPING FLOWS: SOLUTION BY MEANS OF EIGENFUNCTION EXPANSIONS IN SPHERICAL COORDINATES (SEPARATION OF VARIABLES)
  • 1. General Eigenfunction Expansion
  • 2. Application to Uniform Streaming Flow past an Arbitrary Axisymmetric Body
  • F. UNIFORM STREAMING FLOW PAST A SOLID SPHERE
  • STOKES' LAW
  • G.A RIGID SPHERE IN AXISYMMETRIC, EXTENSIONAL FLOW
  • 1. The Flow Field
  • 2. Dilute Suspension Rheology
  • The Einstein Viscosity Formula
  • H. TRANSLATION OF A DROP THROUGH A QUIESCENT FLUID AT LOW Re
  • I. MARANGONI EFFECTS IN THE MOTION OF BUBBLES AND DROPS
  • J. SURFACTANT EFFECTS ON THE BUOYANCY-DRIVEN MOTION OF A DROP
  • 1. Governing Equations and Boundary Conditions for a Translating Drop with Surfactant Adsorbed at the Interface
  • 2. The Spherical-Cap Limit
  • 3. The Limit of Fast Adsorption Kinetics ...
  • NOTES
  • PROBLEMS
  • 8 Creeping Flows
  • Three-Dimensional Problems.
  • A. SOLUTIONS BY MEANS OF SUPERPOSITION OF VECTOR HARMONIC FUNCTIONS
  • 1. Preliminary Concepts
  • a. Vector "equality"
  • pseudo-vectors
  • b. Representation theorem for solution of the creeping-flow equations
  • c. Vector harmonic functions
  • 2. The Rotating Sphere in a Quiescent Fluid
  • 3. Uniform Flow past a Sphere
  • B.A SPHERE IN A GENERAL LINEAR FLOW
  • C. DEFORMATION OF A DROP IN A GENERAL LINEAR FLOW
  • D. FUNDAMENTAL SOLUTIONS OF THE CREEPING-FLOW EQUATIONS
  • 1. The "Stokeslet": A Fundamental Solution for the Creeping-Flow Equations
  • 2. An Integral Representation for Solutions of the Creeping-Flow Equations that is due to Ladyzhenskaya
  • E. SOLUTIONS FOR SOLID BODIES BY MEANS OF INTERNAL DISTRIBUTIONS OF SINGULARITIES
  • 1. Fundamental Solutions for a Force Dipole and Other Higher-Order Singularities
  • 2. Translation of a Sphere in a Quiescent Fluid (Stokes' Solution)
  • 3. Sphere in Linear Flows: Axisymmetric Extensional Flow and Simple Shear
  • 4. Uniform Flow past a Prolate Spheroid
  • 5. Approximate Solutions of the Creeping-Flow Equations by Means of Slender-Body Theory
  • F. THE BOUNDARY-INTEGRAL METHOD
  • 1. A Rigid Body in an Unbounded Domain
  • 2. Problems Involving a Fluid Interface
  • 3. Problems in a Bounded Domain
  • G. FURTHER TOPICS IN CREEPING-FLOW THEORY
  • 1. The Reciprocal Theorem
  • 2. Faxen's Law for a Body in an Unbounded Fluid
  • 3. Inertial and Non-Newtonian Corrections to the Force on a Body
  • 4. Hydrodynamic Interactions Between Widely Separated Particles
  • The Method of Reflections
  • NOTES
  • PROBLEMS
  • 9 Convection Effects in Low-Reynolds-Number Flows
  • A. FORCED CONVECTION HEAT TRANSFER
  • INTRODUCTION
  • 1. General Considerations
  • 2. Scaling and the Dimensionless Parameters for Convective Heat Transfer
  • 3. The Analogy with Single-Solute Mass Transfer
  • B. HEAT TRANSFER BY CONDUCTION (Pe₂!0).

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