First Course in Fluid Dynamics

ISBN-10: 0521274249
ISBN-13: 9780521274241
Edition: 1983
Authors: A. R. Paterson
List price: $125.00 Buy it from $49.99
This item qualifies for FREE shipping

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy

Description: How can the drag coefficient of a car be reduced? What factors govern the variation in the shape of the Earth's magnetosphere? What is the basis of weather prediction? These are examples of problems that can only be tackled with a sound knowledge of  More...

New Starting from $134.28
what's this?
Rush Rewards U
Members Receive:
coins
coins
You have reached 400 XP and carrot coins. That is the daily max!
You could win $10,000

Get an entry for every item you buy, rent, or sell.

Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Periodic Table Online content $4.95 $1.99
Add to cart
Study Briefs
Calculus 1 Online content $4.95 $1.99
Add to cart
Study Briefs
SQL Online content $4.95 $1.99
Add to cart
Study Briefs
MS Excel® 2010 Online content $4.95 $1.99

Customers also bought

Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading

Book details

List price: $125.00
Copyright year: 1983
Publisher: Cambridge University Press
Publication date: 11/10/1983
Binding: Paperback
Pages: 540
Size: 6.25" wide x 9.25" long x 1.00" tall
Weight: 0.330
Language: English

How can the drag coefficient of a car be reduced? What factors govern the variation in the shape of the Earth's magnetosphere? What is the basis of weather prediction? These are examples of problems that can only be tackled with a sound knowledge of the principles and methods of fluid dynamics. This important discipline has applications which range from the study of the large-scale properties of the galaxies to the design of high precision engineering components. This book introduces the subject of fluid dynamics from the first principles. The first eleven chapters cover all the basic ideas of fluid mechanics, explaining carefully the modelling and mathematics needed. The last six chapters illustrate applications of this material to linearised sound and water waves, to high speed flow of air, to non-linear water waves on channels, and to aerofoil theory. Over 350 diagrams have been used to illustrate key points. Exercises are included to help develop and reinforce the reader's understanding of the material presented. References at the ends of each chapter serve not only to guide readers to more detailed texts, but also list where alternative descriptions of the salient points in the chapter may be found. This book is an undergraduate text for second or third year students of mathematics or mathematical physics, who are taking a first course in fluid dynamics.

Preface
Introduction
Fluid dynamics
Structure of the text
Method of working
Reference
Mathematical preliminaries
Background knowledge
Polar coordinate systems
The vector derivative, [down triangle, open]
Cartesian tensor methods
Integration formulae
Formulae in polar coordinates
Exercises
References
Physical preliminaries
Background knowledge
Mathematical modelling
Properties of fluids
Dimensional reasoning
Exercise
Observational preliminaries
The continuum model
Fluid velocity and particle paths
Definitions
Streamlines and streaklines
Exercises
References
Mass conservation and stream functions
The continuity equation
The convective derivative
The stream function for two-dimensional flows
Some basic stream functions
Some flow models and the method of images
The (Stokes) stream function for axisymmetric flows
Models using the Stokes stream function
Exercises
References
Vorticity
Analysis of the motion near a point
Simple model flows
Models for vortices
Definitions and theorems for vorticity
Examples of vortex lines and motions
Exercises
References
Hydrostatics
Body forces
The stress tensor
The form of the stress tensor
Hydrostatic pressure and forces
Exercises
References
Thermodynamics
Basic ideas and equations of state
Energy and entropy
The perfect gas model
The atmosphere
Exercises
References
The equation of motion
The fundamental form
Stress and rate of strain
The Navier-Stokes equation
Discussion of the Navier-Stokes equation
Exercises
References
Solutions of the Navier-Stokes equations
Flows with only one coordinate
Some flows with two variables
A boundary layer flow
Flow at high Reynolds number
Exercises
References
Inviscid flow
Euler's equation
The vorticity equation
Kelvin's theorem
Bernoulli's equation
Examples using Bernoulli's equation
A model for the force on a sphere in a stream
Exercises
References
Potential theory
The velocity potential and Laplace's equation
General properties of Laplace's equation
Simple irrotational flows
Solutions by separation of variables
Separation of variables for an axisymmetric flow: Legendre polynomials
Two unsteady flows
Bernoulli's equation for unsteady irrotational flow
The force on an accelerating cylinder
D'Alembert's paradox
Exercises
References
Sound waves in fluids
Background
The linear equations for sound in air
Plane sound waves
Plane waves in musical instruments
Plane waves interacting with boundaries
Energy and energy flow in sound waves
Sound waves in three dimensions
Exercises
References
Water waves
Background
The linear equations
Plane waves on deep water
Energy flow and group velocity
Waves at an interface
Waves on shallower water
Oscillations in a container
Bessel functions
Exercises
References
High speed flow of air
Subsonic and supersonic flows
The use of characteristics
The formation of discontinuities
Plane shock waves
Exercises
References
Steady surface waves in channels
One-dimensional approximation
Hydraulic jumps or bores
Changes across a hydraulic jump
Solitary waves
Exercises
References
The complex potential
Simple complex potentials
More complicated potentials
Potentials for systems of vortices
Image theorems
Calculation of forces
Exercises
References
Conformal mappings and aerofoils
An example
Mappings in general
Particular mappings
A sequence of mappings
The Joukowski transformation of an ellipse
The cambered aerofoil
Further details on aerofoils
Exercises
References
Hints for exercises
Answers for exercises
Books for reference
Index

×
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.

×