Understanding Fluid Flow

By: Grae Worster

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Paperback | 28 January 2010

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120 Pages

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21.59 x 13.97 x 0.64

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The AIMS Library is a series of up-to-date self-study guides on fundamental topics essential to the contemporary application of mathematics. Each book in the Library is compact, focused on the essentials, and is designed to convey a maximum number of usable ideas in the minimum of time.

To assist self-study, prerequisites are kept to a minimum, and each book contains systematic, straightforward examples and exercises, with solutions as appropriate, and a guide to the literature. Each subject is placed in context: what motivated its development, what it is used for today, its current problems, and where it is likely to go. The texts are designed for those who want to learn powerful ideas and techniques in subjects that have the most promise of long-term growth, and where students and young researchers can hope to make an impact.

Understanding Fluid Flow takes a fresh approach to introducing fluid dynamics, with physical reasoning and mathematical developments inextricably intertwined. The `dry' fluid dynamics described by potential theory is set within the context of real viscous flows to give fundamental insight into how fluids behave. The book gives a flavour of theoretical, experimental and numerical approaches to analysing fluid flow, and implicitly develops skills in applied mathematical modelling of physical systems.

Industry Reviews

"The accounts collated in this book...is encouraging, not only for the survival of the great apes, but the many other organisms that share their habitat". Peter Moore, Bulletin of the British Ecological Society
"Worster is commended for rigorously articulating complex phenomena in these short lectures while unraveling the salient features of fluid dynamics, including flow separation and shear layer roll up due to advection of vortices, to name some examples." R.N. Laoulache, Choice Magazine
"I found the book a pleasant read, and I could imagine lecturers finding the exposition helpful in providing tips for class material or a different perspective. I enjoyed the tack taken by the author and his selection of topics. The book certainly gives an idea of the wide application of the methods of mathematics and physics to problems in areas ranging from geophysics to engineering." Neil Balmforth, SIAM Review

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You Can Find This Book In

Non-Fiction Science Physics Classical Mathematics Fluid Mechanics Mathematics Engineering & Technology Mechanical Engineering & Materials Materials Science Mechanics of Fluids

Preface	p. xi
Building intuition	p. 1
Viscous fluids	p. 1
Normal stress	p. 3
The no-slip condition	p. 3
A viscous gravity current	p. 4
Dynamic viscosity	p. 5
Tangential shear stress	p. 6
Assignment 1	p. 7
Parallel viscous flow	p. 9
Momentum equation	p. 9
Boundary conditions	p. 10
Parallel flow in a channel	p. 11
Poiseuille flow in a pipe	p. 13
Film flow on a vertical surface	p. 15
Couette versus Poiseuille	p. 16
Unsteady parallel viscous flows	p. 18
Kinematic viscosity	p. 22
Viscous boundary layers	p. 23
Viscous gravity currents	p. 25
Scaling analysis	p. 27
Velocity profile and volume flux	p. 27
Conservation of mass	p. 28
Similarity solution	p. 29
Assignment 2	p. 31
Equations of flow	p. 37
The Navier-Stokes momentum equation	p. 37
Hydrostatic and dynamic pressure	p. 39
Mass conservation	p. 40
Stream functions	p. 42
Scaling the Navier-Stokes equations	p. 45
Stagnation-point flow	p. 49
Viscous boundary layer	p. 50
Bernoulli's theorem	p. 54
The momentum integral	p. 57
Interactions between linear flows	p. 63
Linear flow	p. 63
Pure straining flow	p. 64
Vorticity	p. 65
The vorticity equation	p. 65
Vortex stretching	p. 66
Dissipation and generation of vorticity	p. 68
Flows around rigid objects	p. 71
Irrotational incompressible potential flow	p. 71
Potential flow past a sphere	p. 71
The force in potential flow	p. 73
Flow separation and drag	p. 74
The origin of separation	p. 75
Circulation around a rigid body	p. 77
Irrotational flow with circulation - causing lift	p. 79
Waves and instability	p. 83
Energy conservation in potential flow	p. 83
Waves on deep water	p. 84
Properties of deep-water waves	p. 86
Ship wakes	p. 88
Group velocity	p. 90
Hydrodynamic instability	p. 92
Turbulence	p. 98
Epilogue	p. 100
Bibliography	p. 101
Index	p. 103
Table of Contents provided by Ingram. All Rights Reserved.

Understanding Fluid Flow

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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