Ma Yun-li. Natural Convection in an Infinite Square under Low-Gravity Conditions[J]. Applied Mathematics and Mechanics, 1992, 13(5): 443-448.
Citation: Ma Yun-li. Natural Convection in an Infinite Square under Low-Gravity Conditions[J]. Applied Mathematics and Mechanics, 1992, 13(5): 443-448.

Natural Convection in an Infinite Square under Low-Gravity Conditions

  • Received Date: 1990-12-21
  • Publish Date: 1992-05-15
  • In order to study natural convection effects on fluid flows under low-gravity in space, we have expanded variables into a power series of Grashof number by using perturbation theory to reduce the Navier-Stokes equations to the Poisson equation for temperature T and biharmonic equation for stream function Φ.Suppose that a square infinite closed cylinder horizontally imposes a specified temperature of linear distribution on the boundaries, we investigate the two dimensional steady flows in detail.The results for stream function Φ, velocity u and temperature T are gained.The analysis of the influences of some parameters such as Grashof number Gr and Prandtl number Pr on the fluid motion lead to several interesting conclusions.At last, we make a comparison between two results, one from approximate equations, the other from the original version.It shows that the approximate theory correctly simplifies the physical problem, so that we can expect the theory will be applied to unsteady or three-dimensional cases in the future.
  • loading
  • [1]
    Stark,J.A.,R.D.Bradshaw,and M.H.Blatt,Low-G fluid behavior technology summaries,NASA CR-1347.46,General Dynamics Convair Div.,San Diego,Calif.(1974 a).
    [2]
    Stark,J.A.,M.H.B!att,F.O.Bennett and B.J.Campbell,Fluid management systems technology summaries,NASA CR-134748 General Dynamics Convair Div.,San Diego,Calif.(1974 b).
    [3]
    Ostrach,S.,Low-G fluid flows,Ann.Rev.Fluid Mech.,14 (1982),313-345.
    [4]
    李宝春.微重力下小Grashof数自然对流的近似理论,中国科学,A辑32(5)(1989).
    [5]
    Robertson,S.J.and L.W.Spradley,Effect of enclosure shape on natural convection velocities in microgravity,Acta Astronoutica,13,11/12 (1986),727-733.
  • 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 (1877) PDF downloads(413) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return