Feng Qingzeng. On Force-Free Magnetic Fields and Beltrami Flows[J]. Applied Mathematics and Mechanics, 1997, 18(10): 931-936.
Citation: Feng Qingzeng. On Force-Free Magnetic Fields and Beltrami Flows[J]. Applied Mathematics and Mechanics, 1997, 18(10): 931-936.

On Force-Free Magnetic Fields and Beltrami Flows

  • Received Date: 1996-01-18
  • Rev Recd Date: 1997-03-17
  • Publish Date: 1997-10-15
  • 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.
  • loading
  • [1]
    R.Lust and S.Schluter,Kraftfreie magnetfelder Z.Astrophys 344(1954),263-282.
    [2]
    L.Woltjer.A theorem on force-free magnetic fields,Prooc Nat Acad Sci USA 44(1958).489-491.
    [3]
    H.K.Moffatt,The degree of knottedness of tangled vortex lines,J.Fluid Mech,35(1969),117-129.
    [4]
    V,I.Arnold.Surla topologie desecoulements stationaires des fluides parfaits,C.R.Acad.Sci Paris,26(1965),17-20.
    [5]
    T.Dombre.et al.,Chaotic streamlines and Lagrangian turbulences:the ABC flow,J.Fluid,Mech.16.7(1986),353.
    [6]
    S.Chandrasekhar,On force-free miagnctie tields.Proc,.Nat Acad Sci.USA,42(1956).1-5.
    [7]
    W.M.Elssasser,Introduction efttcts in terrestrial magnetism,Phys.Rev.,69(1946),106-116.
    [8]
    R.H.G.Helleman-Self-generated chaotic behavior in nonlinear mechanics,in Fundamental Problems in Statistical Mechamcs Vol.5 eds.by E.D.G.Cohen,North Holland(1980),165-233.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1822) PDF downloads(464) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return