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1.1BASIC PRINCIPLES
1.2BASIC CONCEPTS IN THE FORMULATION OF THE FLOW OF A FLUID
1.2.1 Lagrangian Formulation
1.2.2 Eulerian Formulation
1.2.3 Differentiation in The Eulerian Scheme
1. 2.4 System and Control Volume Concepts
1.3 INTEGRAL THEOREMS
1.3.1 Green's Theorem （Gauss Theorem）
1.3.2 Stokes Theorem
1.3.3 The Dot, Cross and Dyadic Multiplication
1.3.4 The Stress Tensor and the Constitutive Relationship for a Newtonian Fluid
1.4 BASIC PRINCIPLES AND THEIR APPLICATIONSTO THE FLUID IN MOTION
1.4.1 The Principle of Conservation of Massthe Continuity Equation
1.4.2 The Momentum Principle
1.4.3 Streamline, Path-line, Streak-line, and Stream Filament
1.4.4 The Streamline System of Coordinates
1.5 ENERGY PRINCIPLE
1.5.1 The First Law of Thermodynamics
1.5.2 The Differential Equation for the Energy Principle
1.6STREAM FUNCTION FOR STEADY TWO DIMENSION AND AXIAL-SYM-METRIC FLOWS
1.6.1 Stream Function for Two Dimensional Flows
1.6.2 Stream Function for Axially Symmetric Flows
1.7 SUMMARYREFERENCES
CHAPTER2 APPLICATION OF BERNOULLI's PRINCIPLE TO SOMEINCOMPRESSIBLE FLOWS
2.1 ACCELERATION OF THE FLOW TOWARD THE STEADY FLOW SOLUTION
2.2 FLOW THROUGH AN L-SHAPED TUBE OF CONSTANT AREA
2.3 DISCHARGE OF AN INCOMPRESSIBLE FLUID THROUGH A NOZZLE
2.4 QUASI-STEADY FLOW ANALYSIS ON FLOW PROBLEMS
2.5 OTHER EXAMPLES OF FLOW WITH SPHERICAL SYMMETRY
2.5.1 The Pressure Field within an Infinite Amount of Fluid
2.5.2 The Motion of an Incompressible Fluid due to the Attractive Field Force
2.5.3 The Motion of a Finite Amount of Fluid with Spherical Symmetry
2.6 SUMMARYREFERENCE
CHAPTER 3 POTENTIAL FLOW OF AN IDEAL FLUID
3.1 THE VELOCITY POTENTIAL FUNCTION AND THECONDITION OF ITS EXISTENCE
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CHAPTER 4 NUMERICAL COMPUTATIONS ON FLUID DYNAMIC PROBLEMS——WITH EMPHASIS ON INVISCID FLOWS
CHAPTER 5 VISCOUS FLOWS INTRODUCTION
CHAPTER 6 OPEN CHANNEL FLOWS INTRODUCTION
APPENDIX A A REVIEW OF VECTOR-ANALYSIS
APPENDIX B VARIOUS VECTOR expressionS IN ORTHOGONAL CURVILINEAR SYSTEM OF COORDINATES
APPENDIX C MATHEMATIC PROCEDURE TO COMPUTE VENA-CONTRACTING COEFFICIENTS ,《流体动力学专论》内容简介：A Treatise in Fluid Dynamics is a textbook for beginning engineering students who have background ofbasic calculus and'physics. This textbook follows a typical sequence of topics of dynamics of fluids by startingwith an introduction to the subject, concentrating on terminologies, simple concepts, and clarifying adoption ofthe system and control volume approach to describe the motion of the fluid. It then follows by unsteady im-pressible incompressible flows, impressible potential flows, numerical computation of fluid dynamic problems,viscous flows, and open channel flows. A large numbers of examples, such as sluice gate, a sharp crestedweir, jet-plate interaction, etc. , are presented throughout the textbook to emphasize the applications of fluiddynamics to various practical problems. Some simple Fortran computer programs are provided for calculatingincompressible potential flow past simple geometrical bodies based upon surface source distributions and otherproblems. As this textbook is the extended version of the lecture notes prepared by the first author throughouthis career of teaching and research in the areas of gas dynamics, fluid dynamics and thermodynamics at theUniversity of Illinois at Urbana-Champaign and Florida Atlantic University, it can serve as a useful referencebook for graduate students and researchers in the related technical fields. , To study the motion of a fluid, we must identify a fluid element and describe the flowevents associated with it. One way of doing this is to identify a particular element of fluidand describe the detailed motion of this element. This is the familiar kind of descriptionadopted to study the dynamics of a particle or a rigid body, and is called the particle orLagrangian approach. However, this is not a convenient way to study the motion of a fluid.Another way to describe a fluid motion is to specify the flow properties of the fluid at aspecific location within a physical region; this is the field or Eulerian approach~ and isadopted here to study the motion of the fluid. The weather map is a good example of theEulerian approach. Since all principles of conservation are always referring to a specific massof fluid（the Lagrangian approach）, and we shall adopt the Eulerian approach in our study,we must discuss these two schemes in detail and establish the relationship of transformationbetween them.1.2. 1 Lagrangian Formulation
Within the Lagrangian scheme, we focus our attention on a particular element of thefluid and describe its flow events as time proceeds. For example, we may express the spatiallocation of an element of fluid as a function of time, t. X（t）, Y（t）, and Z（t）. The velocityand acceleration of this element of fluid is found by differentiating these functions withrespect to t. We may also use functions of the form P（t）, T（t）, and p（t） to express,respectively, the pressure, temperature, and density of this element of fluid as functions oftime. However, to make this representation meaningful, we must have some means toidentify these quantities for each fluid element in the flow field. One way of identifying afluid element is to define its spatial location at a given time.……,
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