E-Book, Englisch, 324 Seiten
ISBN: 978-1-351-60962-3
Verlag: Taylor & Francis
Format: EPUB
Kopierschutz: 0 - No protection
This book demonstrates how to solve for the velocity profile of the classic problems of fluid mechanics, starting with Navier–Stokes equation. It explains when it is appropriate to simplify a problem by neglecting certain terms through proper dimensional analysis. It covers concepts such as basic relations of fluid mechanics, microscopic interpretation of fluxes, concentrations and velocities in mixtures, multicomponent diffusion, entropy production and implications for transport properties, Lighthill’s transformations, perturbation methods and the singular perturbation method, non-Newtonian fluids, natural convection, turbulent flow, and hydrodynamic stability. It presents numerous examples such as Stokes flow past a sphere, heat transfer in a pure fluid, flow to a rotating disk, mass transfer to a rotating disk, boundary layer on a flat plate, creeping flow past a sphere, mass transfer to the rear of a sphere, Graetz–Leveque problem, spin coating, and mass transfer in turbulent flow and turbulent boundary layers. It is as much a thesis on transport phenomena as it is in applied mathematics, and it amply arms any serious problem solver with the tools to address any problem.
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Basic Transport Relations
Conservation Laws and Transport Laws
Fluid Mechanics
Microscopic Interpretation of the Momentum Flux
Heat Transfer in a Pure Fluid
Concentrations and Velocities in Mixtures
Material Balances and Diffusion
Relaxation Time for Diffusion
Multicomponent Diffusion
Heat Transfer in Mixtures
Transport Properties
Entropy Production
Coupled Transport Processes
Laminar Flow Solutions
Introduction
Simple Flow Solutions
Stokes Flow Past a Sphere
Flow to a Rotating Disk
Singular Perturbation Expansions
Creeping Flow Past a Sphere
Mass Transfer to a Sphere in Stokes Flow
Mass Transfer to a Rotating Disk
Boundary-Layer Treatment of a Flat Plate
Boundary-Layer Equations of Fluid Mechanics
Curved Surfaces and Blasius Series
The Diffusion Boundary Layer
Blasius Series for Mass Transfer
Graetz–Nusselt–Leveque Problem
Natural Convection
High Rates of Mass Transfer
Heterogeneous Reaction at a Flat plate
Mass Transfer to the Rear of a Sphere in Stokes Flow
Spin Coating
Transport in Turbulent Flow
Turbulent Flow and Hydrodynamic Stability
Time Averages and Turbulent Transport
Universal Velocity Profile and Eddy Viscosity
Turbulent Flow in a Pipe
Integral Momentum Method for Boundary Layers
Use of the Universal Eddy Viscosity for Turbulent Boundary Layers
Mass Transfer in Turbulent Flow
Mass Transfer in Turbulent Pipe Flow
Mass Transfer in Turbulent Boundary Layers