What is chaos mechanics?

The discovery of chaos in fluid mechanics is considered to be the most important in the development of natural science in this century.

One of the big events. Deterministic flow can be extremely complicated and mixed because it is sensitive to initial values.

Chaos phenomenon, which not only fundamentally changed people's view of Newtonian mechanics, that is, classical force.

The connotation of learning is far from being fully understood, and it also deeply affects people's view of nature.

When Lorenz studied the weather forecast in 1963, he got one from the hydrodynamic equation.

Group of simplified equations, he analyzed this group of equations later called Lorenz equation, and found that if control

When the control parameters exceed a certain critical value, the solutions of this set of deterministic equations are sensitive to the initial values, that is,

In other words, there is chaotic motion. Lorenz equation has certain representativeness, which is very important for the famous.

This equation can also be obtained by simplifying the heat convection problem in Baynard. Real Berner convection reality

Of course, the test is much more complicated, but when the parameters controlling the heating intensity in the experiment exceed a certain critical value,

When the value is 0, the chaos phenomenon is indeed obtained. The discovery of chaotic motion in fluid not only deepens people's understanding of it.

The understanding of the nature of weather forecast also raises the question of randomness of turbulent motion, which inspires people.

To find out what kind of connection exists between turbulence and chaos.

The Lorenz equation mentioned above represents chaos in dissipative systems, another kind.

Chaos is a conservative system. Study on particles in two-dimensional incompressible flow from Lagrangian point of view

A nonlinear Hamiltonian conservative system can be derived from. From the theoretical and experimental aspects in the 1980s

On the one hand, it proves that there is chaos in such a conservative system, which people call Lagrand.

Daily turmoil. A complete example is the low Reynolds number flow of viscous fluid between two eccentric cylinders.

Chaos has been proved by both theory and experiment, and this kind of flow has nothing to do with daily life and engineering.

Stirring and mixing are closely related.

It can be seen that the future chaos research will be of great significance to the development and practical application of fluid mechanics.

Will have unpredictable effects.