This book is dedicated to the memory of a distinguished Russian engineer, Rostislav E. Alexeyev, who was the first in the world to develop the largest ground effect machine - Ekranoplan. One of Alexeyev's design concepts with the aerodynamic configuration of a jlying wing can be seen on the front page. The book presents a description of a mathematical model of flow past a lifting system, performing steady and unsteady motions in close proximity to the underlying solid surface (ground). This case is interesting for practical purposes because both the aerodynamic and the economic efficiency of the system near the ground are most pronounced. Use of the method of matched asymptotic expansions enables closed form solutions for the aerodynamic characteristics of the wings-in-ground effect. These can be used for design, identification, and processing of experimental data in the course of developing ground effect vehicles. The term extreme ground effect, widely used through out the book, is associated with very small relative ground clearances of the order of 10% or less. The theory of a lifting surface, moving in immediate proximity to the ground, represents one of the few limiting cases that can be treated analytically. The author would like to acknowledge that this work has been influenced by the ideas of Professor Sheila E. Widnall, who was the first to apply the matched asymptotics techniques to treat lifting flows with the ground effect. Saint Petersburg, Russia February 2000 Kirill V. Rozhdestvensky Contents 1. Introduction.

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Inhaltsangabe1. Introduction.- 2. Problem Formulation for the Flow Past a Lifting Surface in Proximity to a Solid Boundary.- 3. The Linear Theory of a Lifting System Moving Close to the Ground.- 4. Nonlinear Flow Problems for a Lifting System in the Extreme Ground Effect.- 5. Compressible Flow Past a Wing in the Extreme Ground Effect.- 6. The Influence of Endplates, Flaps, and Slots.- 7. The Aerodynamics of a Lifting System Near Curved Ground.- 8. Schematized Flow Models for a Power-Augmented Lifting System.- 9. The Aerodynamic Efficiency of a Wing in the Extreme Ground Effect.- 10. Integral Formulations for Lifting Surfaces in the Extreme Ground Effect.- 11. Equations and the Stability of Motion of a Lifting System in the Extreme Ground Effect.- 12. Simple Mathematical Models of Elastic and Flexible Wings in the Extreme Ground Effect.

Introduction.- Formulation of the Problem for the Flow Past a Lifting Surface in Close Proximity to a Rigid Boundary and General Algorithm of Asymptotic Solution.- Linear Theory of a Lifting System Moving in Close Proximity of the Ground.- Non-Linear Flow Problems for a Lifting System in Extreme Ground Effect.- Mathematical Modeling of Compressible Flows Around a Wing in Extreme Ground Effect.- Influence of Endplates, Flaps and Slots.- Aerodynamics of Lifting System in Close Proximity to the Curved Ground.- Schematized Flow Models for a Power Augmented Lifting System.- Aerodynamic and Economic Efficiency of a Wing in Ground Effect.- Integral Formulations for Lifting Surfaces in Ground Effect and Their Asymptotic Treatment.- Simple Mathematical Models Accounting for Elasticity and Flexibility of a Lifting System in Extreme Ground Effect. References and Bibliography on Wing-in-Ground Effect Vehicles.- Additional References.