Li Ping, Yan Zong-yi, Zhuang Feng-yuan. Solution for the Oscillation of a Newtonian Fluid in a Co-Axial Viscometer[J]. Applied Mathematics and Mechanics, 1993, 14(6): 535-541.
Citation: Li Ping, Yan Zong-yi, Zhuang Feng-yuan. Solution for the Oscillation of a Newtonian Fluid in a Co-Axial Viscometer[J]. Applied Mathematics and Mechanics, 1993, 14(6): 535-541.

Solution for the Oscillation of a Newtonian Fluid in a Co-Axial Viscometer

  • Received Date: 1992-05-15
  • Publish Date: 1993-06-15
  • When one cup of a co-axial viscometer oscillates, the measured moment on the other(stationary) cup.shown a phase lag, partly due to the inertial effect of the fluid within the gap between the cups. In this paper such an effect is illustrated by a new exact solution of the Navier-Stokes equation, which is derived herein by a scheme of reducing it to a two-point boundary value problem for ODEs. Our numerical results indicate that, as the Womersley number a or the dimensionless gap width increases, the fluid velocity profile within the gap gradually deviates from the linear one and transits to that of the boundary layer type, with the result that the moment decreases in the magnitude and lags behind in the phase. With the advantage of high accuracy and excellent stability, the scheme proposed herein can readily be extended to solve other linear periodic problems.
  • loading
  • [1]
    翁维良、廖福龙、吴云鹏等编著.《血液流变学研究方法及其应用》,科学出版社(1989),260-273.
    [2]
    吴望一编著.《流体力学》,下册,北京大学出版社(1983),252-255.
    [3]
    张捷迁、章光华、陈允文著,《真实流体力学》.上册,清华大学出版社(1986),130-141.
    [4]
    AbraAnow itz,M.and I.A,Sieguneds.,Handbook of Mathematical Functions with Formulas,Graphs,and Mathematical Tables,National Bureau of Standards(1964).360-364.
    [5]
    凌复华、殷学纲、何治奇编著,《常微分方程数值方法及其在力学中的应用》.重庆大学出版社(1990),55-92.
  • 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 (2208) PDF downloads(622) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return