Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (10): 997-1003.
酆庆增
Feng Qingzeng
摘要: Solenoidal vector fields, which satisfy the condition that the field vector every where parallels to its curl, have complex topologicla structures,andusually show chaotic behaviors. In this paper, analytical solutions for vector fields with constant proportional facfor in three basic coordinate sysems are presented and it is pointed out that a Beltrami flow can sustain a steady force-free magnetic fild in a perfectly conducting fluid,provided the magnetic field is parallel to the velocity everywhere.