Fluid mechanics is the study of how fluids behave and interact under various forces and in various applied situations, whether in liquid or gas state or both. The author compiles pertinent information that are introduced in the more advanced classes at the senior level and at the graduate level. “Advanced Fluid Mechanics” courses typically cover a variety of topics involving fluids in various multiple states (phases), with both elastic and non-elastic qualities, and flowing in complex ways. This new text will integrate both the simple stages of fluid mechanics (“Fundamentals”) with those involving more complex parameters, including Inviscid Flow in multi-dimensions, Viscous Flow and Turbulence, and a succinct introduction to Computational Fluid Dynamics. It will offer exceptional pedagogy, for both classroom use and self-instruction, including many worked-out examples, end-of-chapter problems, and actual computer programs that can be used to reinforce theory with real-world applications. Professional engineers as well as Physicists and Chemists working in the analysis of fluid behavior in complex systems will find the contents of this book useful.All manufacturing companies involved in any sort of systems that encompass fluids and fluid flow analysis (e.g., heat exchangers, air conditioning and refrigeration, chemical processes, etc.) or energy generation (steam boilers, turbines and internal combustion engines, jet propulsion systems, etc.), or fluid systems and fluid power (e.g., hydraulics, piping systems, and so on)will reap the benefits of this text.

Key Features

Offers detailed derivation of fundamental equations for better comprehension of more advanced mathematical analysis Provides groundwork for more advanced topics on boundary layer analysis, unsteady flow, turbulent modeling, and computational fluid dynamics Includes worked-out examples and end-of-chapter problems as well as a companion web site with sample computational programs and Solutions Manual


Graduate-level students in Mechanical, Aerospace & Aeronautical, Chemical, Environmental and Biomechanical Engineering; Graduate-level students in Chemistry and Physics ; Professional engineers in mechanical, chemical, materials, environmental, and biomedical engineering; Physicists and Chemists working in the analysis of fluid behavior in complex systems

Table of Contents

Chapter 1 - Fundamentals 1.1 Introduction 1.2 Velocity, acceleration and the material derivative 1.3 The local continuity equation 1.4 Path lines, stream lines and the stream function a. Lagrange’s stream function for two-dimensional flows b. Stream functions for three-dimensional flows,including Stokes stream function 1.5 Newton’s momentum equation 1.6 Stress 1.7 Rates of deformation 1.8 Constitutive relations for Newtonian fluids 1.9 Equations for Newtonian fluids 1.10 Boundary conditions 1.11 Vorticity and circulation 1.12 The vorticity equation 1.13 The work-energy equation 1.14 The first law of thermodynamics 1.15 Dimensionless parameters 1.16.Non-Newtonian fluids 1.17 Moving coordinate systems Problems Chapter 2 - Inviscid irrotational flows 2.1 Inviscid flows 2.2 Irrotational flows and the velocity potential a. Intersection of velocity potential lines and streamlines in two dimensions b. Basic two-dimensional irrotational flows c. Hele-Shaw flows d. Basic three-dimensional irrotational flows e. Superposition and the method of images f. Vortices near walls g. Rankine half body h. Rankine oval i. Circular cylinder or sphere in a uniform stream 2.3 Singularity distribution methods a. Two and three-dimensional slender body theory b. Panel methods 2.4 Forces acting on a translating sphere 2.5 Added mass and the Lagally theorem 2.6 Theorems for irrotational flow


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© 2007
Academic Press
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About the author

William Graebel

Affiliations and Expertise

Professor Emeritus,Department of Mechanical Engineering,University of Michigan