Transport Phenomena Fundamentals, Second Edition

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    • Presents a unified, holistic approach to transport processes
    • Uses finite element methods as a tool for enhanced understanding
    • Teaches readers to analyze computer-based solutions to check for validity
    • Incorporates momentum, heat, mass, and charge transport
    • Explains the mathematics behind the description of the phenomena and the development of the equations

      Solutions manual is available with qualifying course adoption


    Although the practice of chemical engineering has broadened to encompass problems in a range of disciplines, including biology, biochemistry, and nanotechnology, one of the curriculum’s foundations is built upon the subject of transport phenomena. Transport Phenomena Fundamentals, Second Edition provides a unified treatment of heat, mass, and momentum transport based on a balance equation approach.

    Designed for a two-term course

    Used in a two-term transport phenomena sequence at Rensselaer Polytechnic Institute, this text streamlines the approach to how the subject is taught. The first part of the book takes students through the balance equation in the context of diffusive transport, be it momentum, energy, mass, or charge. Each chapter adds a term to the balance equation, highlighting the effects of that addition on the physical behavior of the system and the underlying mathematical description.

    The second half of the book builds upon the balance equation description of diffusive transport by introducing convective transport terms, focusing on partial rather than ordinary differential equations. The Navier–Stokes and convective transport equations are derived from balance equations in both macroscopic and microscopic forms.

     Includes examples and problems drawn from Comsol® software

    The second edition of this text is now enhanced by the use of finite element methods in the form of examples and extended homework problems. A series of example modules are associated with each chapter of the text. Some of the modules are used to produce examples in the text, and some are discussed in the homework at the end of each chapter. All of the modules are located online at an accompanying website which is designed to be a living component of the course. (available on the download tab)

    Table of Contents

    Introductory Concepts

    Scope of Transport Phenomena

    Preliminary Assumptions

    Equilibrium Foundations

    Defining Equilibrium

    Fluid Statics

    Buoyancy and Stability

    Fluids in Rigid Body Motion

    Fluxes, Gradients, and Transport Properties

    Momentum Transport – Newton's Law of Viscosity

    Energy Transport – Fourier's Law of Heat Conduction

    Mass Transport – Fick's Law of Diffusion

    Charge Transport – Ohm's Law of Conduction

    Driving Force – Resistance Concepts

    Flux Laws in Two and Three Dimensions

    Mechanistic Differences Among the Transport Phenomena

    Primary and Secondary Fluxes

    Systems Involving Fluxes with Multiple Gradients

    Failure of the Linear Flux–Gradient Laws

    Transport Properties of Materials

    Viscosity of Gases

    Viscosity of Liquids – Free Volume Theory

    Thermal Conductivity of Gases

    Thermal Conductivity of Liquids

    Thermal Conductivity of Solids

    Diffusivity of Gases

    Diffusivity of Liquids

    Diffusion in Solids

    Conductivity, Mobility and Resistivity

    One-Dimensional, Steady-State, Diffusive Transport

    Boundary Conditions

    Boundary Condition Catalog

    One-Dimensional, Steady-State Diffusive Transport

    Composite Media

    Variable Transport Properties, Coupled Transport, and Multiple Fluxes


    Generation on the Boundary – Boundary Conditions

    One-Dimensional Transport with Generation at the Boundary

    Constant Generation Terms

    Variable Generation and Coupled Transport


    Lumped Capacitance

    Internal Gradients and Generalized Solutions

    Semi-Infinite Systems

    Miscellaneous Transient Example Problems

    Conservative Transport and Waves

    Momentum Transport

    Transport Enhancement Using Extended Surfaces

    Heat Transfer - Finned Surfaces

    Mass Transfer - Gills, Lungs, and So On

    Diffusion and Reaction in a Catalyst Pellet

    Multidimensional Effects, Potential Functions, and Fields

    Laplace's Equation and Fields

    Solutions of Laplace's Equation

    Generation, Sources, Sinks and Poisson's Equation

    Transient Systems

    Convective Transport : Microscopic Balances

    Momentum Transport

    Energy Transport

    Mass Transport

    Charge Transport

    Macroscopic or Engineering Balances

    Macroscopic Continuity Equation

    Macroscopic Momentum Balance

    Macroscopic Mechanical Energy Balance – Extended

    Macroscopic Energy Balance

    Macroscopic Species Continuity Equation

    Macroscopic Charged Species Continuity Equation

    Convective Transport on a Flat Plate (Laminar Boundary Layers)

    Convective Transport Coefficients, Cf, h, kc,k±

    Boundary Layer Definitions

    Derivation of the Boundary Layer Equations

    Transport Analogies

    Hydrodynamic Boundary Layers

    Thermal Boundary Layers

    Mass Transfer Boundary Layers

    Simplified Ionic Boundary Layers

    Convective Transport: Systems with Curvature

    Flow Over Cylinders

    Flow Over Spheres

    Velocity Profile in Tubes

    Heat and Mass Transfer Applications

    Taylor Dispersion

    Turbulent Boundary Layers

    Turbulent Boundary Layer Structure

    Transport Equations in Turbulent Flow

    Representing the Reynolds Flux Components

    Friction Factors and Other Transport Coefficients

    Radiative Transport

    Preliminary Definitions

    Maxwell's Equations and Heat Transfer

    Energy Fluxes in Radiative Systems

    The Blackbody

    The Graybody

    View Factors

    Radiative Energy Exchange


    Appendix A: Vector Mathematics

    Appendix B: Mathematical Functions and Heisler Charts

    Appendix C: Exact Solution to the Boundary Layer Equations

    Appendix D: Thermal and Transport Properties of Materials


    Author Bio(s)

    Joel Plawsky is a professor of chemical engineering at Rensselaer Polytechnic Institute in Troy, New York.

    Downloads / Updates

    Resource OS Platform Updated Description Instructions
    Platform type March 08, 2011 The modules can be found at: click on