Contents Preface vii Chapter 1 - SOME BASIC FACTS ABOUT FLUID MECHANICS 1-8 1.1 General Description 1 1.2 Fluids and the Continuum 3 1.3 Dimensions and Units 4 1.4 Law of Dimensional Homogeneity 5 1.5 The Perfect Gas: Equation of State 5 1.6 Regimes of Fluid Mechanics 6 1.7 Conclusion 8 Chapter 2 - FUNDAMENTALS OF FLUID MECHANICS 9-72 2.1 Introduction 9 2.2 Properties of Fluids 9 2.3 Fluid Statics 12 2.4 Analysis of Flow 25 2.5 Basic and Subsidiary Laws for Continuous Media 28 2.6 Kinematics of Fluid Flow 29 2.7 Potential Flow 42 2.8 Viscous Flow 48 2.9 Turbulence 54 2.10 Gas Dynamics ,59 2.11 Conclusion 70 Chapter 3 - DIMENSIONAL ANALYSIS AND SIMILARITY 75-87 3.1 Introduction 73 3.2 Dimensionless Groups 73 3.3 Dimensional Homogeneity Principle 74 3.4 Buckingham's -Theorem 76 3.5 Dimensionless Groups in Fluid Dynamics 77 3.6 Calculation of the Dimensionless Groups 78 3.7 Similarity 79 3.8 Relationship between Dimensional Analysis and Similarity 80 3.9 Similarity Requirements from the Equations of Flow 84 3.10 Scale Factors 85 3.11 Conclusion 86 References 89 Index 91