文档介绍：BASICS OF FLUID
MECHANICS AND
INTRODUCTION TO
COMPUTATIONAL
FLUID DYNAMICS
TITUS PETRILA
DAMIANTRIF
BASICS OF FLUID MECHANICS AND
INTRODUCTION PUTATIONAL
FLUID DYNAMICS
Numerical Methods and Algorithms
Volume 3
Series Editor:
Claude Brezinski
Universite des Sciences et Technologies de Lille, France
BASICS OF FLUID MECHANICS AND
INTRODUCTION PUTATIONAL
FLUID DYNAMICS
by
TITUS PETRILA
Babes-Bolyai University, Cluj-Napoca, Romania
DAMIAN TRIF
Babes-Bolyai University. Cluj-Napoca. Romania
Springer
Library of Congress Cataloging-in-Publication Data
eBookiSBN: 0-387-23838-7
Print ISBN: 0-387-23837-9
©2005 Springer Science + Business Media, Inc.
Print ©2005 Springer Science + Business Media, Inc.
Boston
All rights reserved
No part of this eBook may be reproduced or transmitted in any form or by any means, electronic,
mechanical, recordng, or otherwise, without written consent from the Publisher
Created in the United States of America
Visit Springer's eBookstore at: http://ebooks.
and the Springer Global Website Online at
Contents
Preface X111
1. INTRODUCTION TO MECHANICS OF CONTINUA 1
1 Kinematics of Continua 1
The Concept of a Deformable Continuum 1
Motion of a Continuum.
Lagrangian and Eulerian Coordinates 4
Euler-Lagrange Criterion.
Euler's and Reynolds' (Transport) Theorems 13
2 General Principles.
The Stress Tensor and Cauchy's Fundamental Results 17
The Forces Acting on a Continuum 17
Principle of Mass Conservation.
The Continuity Equation 18
Principle of the Momentum Torsor Variation.
The Balance Equations 20
The Cauchy Stress Tensor 21
The Cauchy Motion Equations 23
Principle of Energy Variation.
Conservation of Energy 24
General Conservation Principle 25
3 Constitutive Laws.
Inviscid and real fluids 26
Introductory Notions of Thermodynamics.
First and Second Law of Thermodynamics