Bookboon, 2014. — 106 p. — ISBN: 978-87-403-0689-7This book covers the transport of momentum, heat, and mass in non-equilibrium systems. It derives differential balance equations for general properties and introduces the concepts of convective and diffusive flux. These are applied to the conservation of mass. Next, differential force balances are used to develop the governing equations for momentum transport, and includes a discussion of stress and viscosity. Dimensional analysis is discussed. The differential energy balance is then presented, along with Fourier's law. Finally, differential species balances are performed for multicomponent systems, and Maxwell-Stefan diffusion and Fick's law are discussed. An analysis of turbulence and the statistical modeling of its effects on transport is provided. This is followed by a description of boundary layer theory, and then a discussion of the analogies between the transport of momentum, heat, and mass. Finally the two resistance model for interphase mass transfer is presented.
Content
Introduction: Balance equations, Index notation, Mass balance
Momentum transport: Introduction, Bernoulli’s equation, Diffusive momentum flux: Newton’s law of viscosity, Newton’s law of viscosity
Laminar flow problems: Introduction, Flow of a falling film, Flow through a circular tube
Dimensional analysis: Introduction
Energy transport: Energy balance, Convection, Diffusive transport, Viscous work, Pressure work, Finishing touches
Multicomponent mass transfer: Introduction, Diffusive flux
Examples of steady diffusion: Introduction, Arnold diffusion cell, Heterogeneous combustion, Diffusion with homogeneous reaction
Introduction to turbulence and non-linear dynamics: Introduction, The logistic map
Statistical treatment of turbulence: Introduction, Brief overview of statistics, Reynold stresses
Approximate models for turbulence: Introduction, Boussinesq hypothesis or the mean-velocity field closure, Prandtl mixing-length theory and von Kármán similarity hypothesis, Three-region model for momentum transport (universal velocity profile), Turbulent flow in a pipe
Turbulence in energy and mass transport: Introduction, Energy transport, Mass transport
Boundary layer theory: Flowpast objects: Boundary layers, Boundary layer theory, von Kármán momentum integral analysis
Boundary layers in energy and mass transport: Transport of energy, Transport of mass
Analogies in Momentum, Heat, and Mass Transfer:Introduction, Comparison of diffusive transport, Reynolds analogy, Prandtl analogy, Chilton-Colburn analogy
Interphase mass transfer: Introduction, Individual mass-transfer coefficients, Overall mass-transfer coefficients
