New Sedov-type solution of isotropic turbulence
The starting point for this paper lies in the results obtained by Sedov (1944) for isotropic turbulence with the self-preserving hypothesis. A careful consideration of the mathematical structure of the Karman-Howarth equation leads to an exact analysis of all possible cases and to all admissible solutions of the problem. This paper revisits this interesting problem from a new point of view. Firstly, new solutions are obtained. Based on these exact solutions, some physically significant consequences of recent advances in the theory of self-preserved homogenous statistical solution of the Navier-Stokes equations are presented. New results can be used delaying for the analysis on turbulence features, such as the scaling behavior, the decaying laws.
Zheng Ran
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
1077-1081
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）