On the True nature of turbulence

نویسندگان

  • Y. Charles Li
  • Y. CHARLES LI
چکیده

In this article, I would like to express some of my views on the nature of turbulence. These views are mainly drawn from the author’s recent results on chaos in partial differential equations [10]. Fluid dynamicists believe that Navier-Stokes equations accurately describe turbulence. A mathematical proof on the global regularity of the solutions to the Navier-Stokes equations is a very challenging problem. Such a proof or disproof does not solve the problem of turbulence. It may help understanding turbulence. Turbulence is more of a dynamical system problem. Studies on chaos in partial differential equations indicate that turbulence can have Bernoulli shift dynamics which results in the wandering of a turbulent solution in a fat domain in the phase space. Thus, turbulence can not be averaged. The hope is that turbulence can be controlled.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Numerical Modeling of Saline Gravity Currents Using EARSM and Buoyant k- Turbulence Closures

Gravity currents are very common in nature and may appear in rivers, lakes, oceans, and the atmosphere. They are produced by the buoyant forces interacting between fluids of different densities and may introduce sediments and pollutants into water bodies. In this study, the hydrodynamics and propagation of gravity currents are investigated using WISE (Width Integrated Stratified Environments), ...

متن کامل

Evaluation of Penetration Level of Large-Scale Photovoltaic System on Voltage Stability of Power System

A power system is a nonlinear one. When turbulence occurs in the power system, the stability of the system depends on the initial operating conditions and the nature of the turbulence. Nowadays renewable energy sources including photovoltaic have a key role to meet high demand of modern societies and to maintain voltage of the buses, while they also provide clean electrical energy. However, inc...

متن کامل

Evaluation of Turbulence on the Dynamics of Monopile Offshore Wind Turbine under the Wave and Wind Excitations

In recent years, the use of offshore wind turbines has been considered on the agenda of the countries which have a significant maritime boundary due to more speed and stability of wind at sea. The aim of this study is to investigate the effect of wind turbulence on the aero-hydrodynamic behavior of offshore wind turbines with a monopile platform. Since in the sea, the wind turbine structures ar...

متن کامل

The Political Thought of Darius the Great (522- 486 B.C.), the Legislator of Achaemenid Empire (A Study Based on Achaemenid Inscriptions in Old Persian)

Darius offered the political order of “king of kings” to solve the political crisis of his era. He legitimized it based on an order of gods. In his belief, the nature of politics was based on a dualistic religious worldview that is the fight between true divinity and false divinity’s will and performance in the world. In addition, the chief true divinity’s law was introduced as the principle or...

متن کامل

The Effect of Micro Turbulence on Quartz Flotation Rate

In this research, the effect of micro turbulence on the flotation rate of quartz particles was investigated. The maximum particle Reynolds number (Rep) was obtained at 60.25 with a particle size of -500+420 µm, impeller speed of 900 rpm, bubble surface area flux of 10.21 1/s and micro scale turbulence size of 162 µm. When the micro turbulence size was equal to the particle size, ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008