PART I FUNDAMENTAL PRINCIPLES (基本原理) In part I, we cover some of the basic principles that apply to aerodynamics in general. These are the pillars on which all of aerodynamics is based
PART I FUNDAMENTAL PRINCIPLES （基本原理） In part I, we cover some of the basic principles that apply to aerodynamics in general. These are the pillars on which all of aerodynamics is based
Chapter 2 Aerodynamics: Some Fundamental Principles and Equations There is so great a difference between a fluid and a collection of solid particles that the laws of pressure and of equilibrium of fluids are very different from the laws of the pressure and equilibrium of solids Jean Le rond d Alembert, 1768
Chapter 2 Aerodynamics: Some Fundamental Principles and Equations There is so great a difference between a fluid and a collection of solid particles that the laws of pressure and of equilibrium of fluids are very different from the laws of the pressure and equilibrium of solids . Jean Le Rond d’Alembert, 1768
2.1 Introduction and Road Map o Preparation of tools for the analysis of aerodynamics Y Every aerodynamic tool we developed in this and subsequent chapters is important for the analysis and understanding of practical problems C Orientation offered by the road map
2.1 Introduction and Road Map Preparation of tools for the analysis of aerodynamics Every aerodynamic tool we developed in this and subsequent chapters is important for the analysis and understanding of practical problems Orientation offered by the road map
2.2 Review of vector relations 92.21 to 2.2.10 Skipped over 2.2.11 Relations between line, surface, and volume Integrals The line integral of A over C is related to the surface integral bf A(curl of A) over S by Stokes'theorem 于Ad=(×A) Where aera s is bounded by the cosed curve c
2.2 Review of Vector relations 2.2.1 to 2.2.10 Skipped over 2.2.11 Relations between line, surface, and volume integrals The line integral of A over C is related to the surface integral of A(curl of A) over S by Stokes’ theorem: A ds ( A) dS C S Where aera S is bounded by the closed curve C:
he surface integral of A over s is related to the volume integral of A(divergence of A) over v by divergence'theorem ∫As=』(vA S Where volume v is bounded by the closed surface s If p represents a scalar field, a vector relationship analogous to divergence theorem is given by gradient theorem ∫xs=py S
The surface integral of A over S is related to the volume integral of A(divergence of A) over V by divergence’ theorem: d ( )dV S V A S A Where volume V is bounded by the closed surface S: If p represents a scalar field, a vector relationship analogous to divergence theorem is given by gradient theorem: pd pdV S V S