Applied Mathematics and Mechanics

, Volume 8, Issue 7, pp 655–665 | Cite as

Lubrication theory for micropolar fluids and its application to a journal bearing with finite length

  • Qiu Zu-gan
  • Lu Zhang-ji


In this paper, the field equation of micropolar fluid with general lubrication theory assumptions is simplified into two systems of coupled ordinary differential equation. The analytical solutions of velocity and microrotation velocity are obtained. Micropolar fluid lubrication Reynolds equation is deduced. By means of numerical method, the characteristics of a finitely long journal bearing under various dynamic parameters, geometrical parameters and micropolar parameters are shown in curve form. These characteristics are pressure distribution, load capacity, coefficient of flow flux and coefficient of friction. Practical value of micropolar effects is shown, so micropolar fluid theory further closes to engineering application.


Load Capacity Couple Stress Journal Bearing Reynolds Equation Micropolar Fluid 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Needs, S.J., Boundary film investigations,TRANS. ASME.,62 (1940), 33.Google Scholar
  2. [2]
    Fuks, G.I., The properties of solutions of organic acids in liquid hydrocarbous at solid surfaces,Research in Surface Forces. ed. B.V. Deryagin. 1 (1960), 79.Google Scholar
  3. [3]
    Drauglis, E., et al., Thin film rhelology of boundary lubricating surface films. Part I,Battelle Memorial Institute Report (1970).Google Scholar
  4. [4]
    Stokes, V.K., Couple stresses in fluids,Phys. Fluids,9 (1966), 1709.CrossRefGoogle Scholar
  5. [5]
    Eringen, A.C., Theory of micropolar fluids,J. Math. Mech. 16 (1966), 1.MathSciNetGoogle Scholar
  6. [6]
    Kang, C.K. and A.C. Eringen, The effect of microstructure on the rheological properties of blood,Bull. Math. Biol. 38 (1979), 135.CrossRefGoogle Scholar
  7. [7]
    Eringen, A.C., Simple microfluids,Int. J.Mech.Eng.Sci. 2 (1964), 205.MATHMathSciNetCrossRefGoogle Scholar
  8. [8]
    Kline, K.A. and S.J. Allen, Nonsteady flows of fluids with microstructure,Phys. Fluids, 13 (1970), 263.MATHCrossRefGoogle Scholar
  9. [9]
    Erdogan, M.E., Dynamics of polar fluids,Acta Mechanica, 15 (1972), 233.MATHCrossRefGoogle Scholar
  10. [10]
    Allen, S.J. and K.A. Kline, Lubrication theory for micropolar fluids,J. Appl.Mech.,38 (1971), 646.MATHGoogle Scholar
  11. [11]
    Green, G.C., M.S.Thesis, Tulane University (1969).Google Scholar
  12. [12]
    Cowin, S.C., Polar fluids,Phys.Fluids, 11 (1968), 1919.MATHCrossRefGoogle Scholar
  13. [13]
    Shukla, J.B. and M. Isa, Generalized Reynolds equation for micropolar lubricants and its application to optimum one-dimensional slider bearings: Effects of solid-partide additives in solution,J.Mech.Engng Sci., I Mech. E. 17 (1975), 280.Google Scholar
  14. [14]
    Prakash, J. and P. Sinha, Lubrication theory for micropolar fluids and its application to a journal bearing,Int. J.Engng. Sci., 13 (1975), 217.MATHCrossRefGoogle Scholar
  15. [15]
    Tipei, N., Lubrication with micropolar liquids and its application to short journal bearing,J.Lubr.Technol.,101 (1979), 356.Google Scholar

Copyright information

© Shanghai University of Technology 1987

Authors and Affiliations

  • Qiu Zu-gan
    • 1
  • Lu Zhang-ji
    • 1
  1. 1.Fudan UniversityShanghai

Personalised recommendations