4 papers
A new class of exact solution of two-dimensional incompressible vortex motion
Zheng Ran
At present in the fluid mechanics, mostly one like to use the vortex as a basic physical quantity, such that some exact solutions is based on the vorticity evolution equation. For…
One-dimensional energy spectra in three-dimensional incompressible homogeneous isotropic turbulence
Ran Zheng, Wang Yao-yao, Yuan Xing-jie
The paper investigates the detailed features of one-dimensional energy spectra in three-dimensional isotropic turbulence, based on the exact solution of Karman-Howarth equation. Pa…
Logistic map and micro-structure of isotropic turbulent flow
Zheng Ran
ONE of the main goals in the development of theory of chaotic dynamical system has been to make progress in understanding of turbulence. The attempts to related turbulence to chaot…
Large scale dynamics in two-dimensional turbulence
Zheng Ran
We consider freely decaying two-dimensional isotropic turbulence. It is usually assumed that, in such turbulence, the energy spectrum at small wave number, takes the form, where is…