
Chapter 1 INTRODUCTION 1.1 Preliminaries 1.2 Differential Equations,Initial and Boundary Conditions 1.3 Major Assumptions 1.4 Vorticity-Dynamic Formulation References Chapter 2 THEOREMS OF HELMHOLTZ AND KELVIN 2.1 Introduction 2.2 Kinematic-Kinetic Partition of Flow Problems 2.3 Kinematic Preliminaries 2.4 Helmholtz'First Vortex Theorem 2.5 Vorticity Loops 2.6 Kelvin's Second Vortex Theorem 2.7 Helmholtz' Second Vortex Theorem 2.8 Concluding Remarks References Chapter 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-Savan 3.6 Generalized Law of Biot-Savart 3.7 Uniqueness of Solution 3.8 Boundary Conditions in Vorticity Kinematics References Chapter 4 VORTICITY KINETICS Chapter 5 VORTICITY-MOMENT THEOREM Chapter 6 CLASSICAL AERODYNAMICS Chapter 7 UNSTEADY AERODYNAMICS |
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