SOME PROPERTIES OF THREE-DIMENSIONAL BELTRAMI FLOWS

作     者：是长春 黄永念 

作者机构：Peking UniversityBeijing 100871China 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：1991年第7卷第4期

页      面：289-294页

核心收录：

学科分类：08[工学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Beltrami flow Euler equation Navier-Stokes equation exact solution 

摘      要：The investigation of Beltrami flows is important for the research on the mechanism of turbulent *** this paper the general solutions of the Beltrami flows are given,which depend explicitly on the solutions of three independent Helmholtz equations with scalar *** fields of Beltrami flows can then be obtained explicitly after the application of some curl operations on the solutions of Helmholtz equa- *** the basis of the exact solutions of Euler equations given above,we obtain one kind of exact solu- tions of non-steady Navier-Stokes equations which are also the Beltrami *** interesting examples of Beltrami flows other than ABC flows , Kolmogolov flows , Rayleigh-Bernard flows , Q-flows are *** detailed analytic results of these examples will be published in the near future.