吳鎮遠著的《渦量空氣動力學原理(英文版國際
版)(精)》闡述了渦量動力學的現代觀點，並將它作
為理解和建立黏性和非定常空氣
動力基本原理的框架。本書為經典空氣動力學的學員
以及在非定常和非流線型空
氣動力學前沿的科研工作者而著。
本書首先討論低馬赫數黏性流動問題的渦量動力
公式表達；研究了定常與非定
常流動的速度場和渦量場的物理特性，它們之間的瞬
時關繫，以及黏性流動中渦量
的運輸；通過經典的分析方法嚴格處理了渦量動力學
的數理邏輯以及黏性流動問題
的初始條件和邊界條件；介紹了環繞和跟隨機翼的渦
量場演化；推廣了亥姆霍茲渦
旋定理和畢奧一薩伐爾定理，建立並證明了空氣動力
與渦量矩互聯的理論以及該理
論的運用；也證實了庫塔一儒科夫斯基定理和普朗特
升力線的理論。本書還綜述了
尾流積分方法，表明了虛擬質量效應是非定常空氣動
力的開創性事件，創建了運用
渦量動力學理論來簡單地求得虛擬質量數值的方法。

1.Introduction
1.1 Preliminaries
1.2 Differential Equations.Initial and Boundary Conditions
1.3 Major Assumptions
1.4 Vorticity.Dynamic Formulation
References
2.Theorems of Helmholtz and Kelvin
2.1 IntroductiOn
2.2 Kinematic.Kinetic Partition of Flow Problem
2.3 Kinematic Preliminaries
2.4 Helmholtz'First Vortex Theorem
2.5 Vorticity Loops
2.6 Kelvin’S Theorem
2.7 Helmholtz’Second Vortex Theorem
2.8 Concluding Remarks
References
3.Vorticity Kinematics
3.1 Differential Equations of Vorticity Kinematics
3.2 Vector Identities
3.3 Poisson's Equation and Integral RepresentatiOns
3.4 Poisson's Equation and Boundary Conditions
3.5 Law of Biot-Savart
3.6 Generalized Law of Biot.Savart
3.7 Uniqueness of Solution
3.8 Boundary Conditions in Vorticity Kinematics
References
4.Vorticity Kinetics
4.1 Navier—Stokes Momentum Equation
4.2 Convection and Material Derivative
4.3 Viscous Force and Diffusion of Momentum
4.4 Vorticity and Flow Regions
4.5 Appearance and Transport of Vorticity
4.6 Speeds of Vorticity Transport
4.7 Boundary Conditions in Vorticity Kinetics
4.8 Approaching Steady Flow
References
5.Vorticlty-Moment Theorem
5.1 Preliminary Remarks
5.2 Total Vorticity Conservation
5.3 Asymptotic Behavior of Velocity Field
5.4 Total Velocity
5.5 Aerodynamic Force
5.6 Moment of Aerodynamic Force
5.7 Two-Dimensional Flows
5.8 Observations
References
6.ClassicaI Aerodynamics
6.1 Vorticity-Moment Theorem
6.2 Kutta-Joukowski's Theorem and Vortical Flow Zones
6.3 Non-Streamlined Flow and Karman Vortex Street
6.4 Vorticity Loop and Vorticity Moment
6.5 Lifting-Line Theory：Uniform Circulation Lift
6.6 Lift on Finite Wing with Variable Circulation
6.7 Induced Drag
6.8 Wake-Integral Expressions for Lift and Drag
References
7.Unsteady Aerodynamics
7.1 Aircraft and Streamlined Flows
7.2 Animal Flight and Flapping Wings
7.3 Classical VS.Vorticity-Dynamic Approach
7.4 Apparent Mass of Sphere and Circular Disk
7.5 Apparent Mass Coefficients
References
Index