Chapter 1 Aerodynamics: Some Introductory Thoughts The term \aerodynamics\is generally used for problems arising from flight and other topics involving the flow of air. Ludwig Prandtl, 1949 Aerodynamics: The dynamics of gases, especially of atmospheric interactions with moving objects. The American Heritage Dictionary of English Language, 1969

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

特别要注意:膨胀过程是一个等熵过程。 要解决的问题是:已知上游马赫数M及其它流动特性(区域1), 求通过偏转角θ膨胀后的下游(区域2)的特

如果扰动比一个简单声波强,其引起的波前就会比马赫波强产生一 个与来流夹角为β的斜激波,且β>μ。这一比较在图9.4中给出。然而, 斜激波产生的物理机理与上面描述的马赫波的产生完全相同

8.1 INTRODUCTION The purpose of this chapter and Chap. 9 is to develop shock-wave theory, thus giving us the means to calculate the changes in the flow properties across a wave.本章和第九章的目的是推导激波理论,因而得出计算通过激波的流动特性变化量的公式

观察超音速下飞行器的升力、阻力的产生及绕飞行器流动的流场细节,包括激波、膨胀波的构型,可以采用以下两种方法: (1) Conduct flight tests using the actual vehicle 进行实际飞行器的飞行试验 (2) Run wind-tunnel tests on a small-scale modelof the vehicle 用飞行器的缩小模型进行风洞实验

3.1.2 A general uniqueness theorem The key issue for uniqueness of solutions turns out to be the maximal slope of a=a(a) to guarantee uniqueness on time interval T=[to, t,, it is sufficient to require existence of a constant M such that

Lyapunov analysis, which uses monotonicity of a given function of system state along trajectories of a given dynamical system, is a major tool of nonlinear system analysis It is possible, however, to use monotonicity of volumes of subsets of the state space to predict certain properties of system behavior. This lecture gives an introduction to suc methods

where f:R\×Rn×R→ R\ and g:R\×R\×R→ R are continuous functions. Assume that f, g are continuously differentiable with respect to their first two arguments in a neigborhood of the trajectory co(t), yo(t), and that the derivative

Proof Existence and uniqueness of r(t, u)and A(t)follow from Theorem 3. 1. Hence, in order to prove differentiability and the formula for the derivative, it is sufficient to show that there exist a function C: R++R+ such that C(r)/r-0 as r-0 and E>0 such