HUANG Wen-bin, XU yong, LIAN Guo-ping, LI Hong-yan. Squeeze Flow of a Power-Law Fluid Between Two Rigid Spheres With Wall Slip[J]. Applied Mathematics and Mechanics, 2002, 23(7): 722-728.
Citation: HUANG Wen-bin, XU yong, LIAN Guo-ping, LI Hong-yan. Squeeze Flow of a Power-Law Fluid Between Two Rigid Spheres With Wall Slip[J]. Applied Mathematics and Mechanics, 2002, 23(7): 722-728.

Squeeze Flow of a Power-Law Fluid Between Two Rigid Spheres With Wall Slip

  • Received Date: 2001-10-09
  • Rev Recd Date: 2002-03-28
  • Publish Date: 2002-07-15
  • The effect of wall slip on the squeeze flow of a power-law fluid between two rigid spherical particles has been examined based on the Reynolds lubrication theory. It is shown that the viscous force arising from the squeeze flow with wall slip may be resolved to the no-slip solution by introducing a slip correction coefficient. An expression for the slip correction coefficient of force is derived which is related to the slip parameter, the flow index and the upper limit of integration. Generally, wall slip results in a reduction in the viscous force. The reduction in the viscous force increases as the flow index increases, suggesting that wall slip has a more profound effect on shear thickening material. However, such reduction decreases as the upper limit of integration increases from finite liquid bridges to fully immersed systems. The reduction in the viscous force also increases as the slip parameter increases, which is the expected behaviour.
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  • [1]
    Bird R B,Armstrong R C,Hassager O.Dynamics of Polymeric Liquids[M].New York:Wiley,1977,19-21.
    [2]
    Scott J R.Theory and application of the parallel plate viscometer[J].Trans Ins Rubber Ind,1931,7(2):169-186.
    [3]
    Davis A M J,Frenkel A L.Cylindrical liquid bridges squeezed between parallel plates:exact Stokes flow solutions and hydrodynamic forces[J].Phys Fluids A,1992,4(6):1105-1109.
    [4]
    Laun H M,Rady M,Hassager O.Analytical solutions for squeeze flow with partial wallslip[J].Journal of Non-Newtonian Fluid Mechanics,1999,81(1-2):1-15.
    [5]
    Adams M J,Edmondson B.Forces between particles in continuous and discrete liquid media[A].In:B J Briscoe,M J Adams Eds.Tribology in Particulate Technology[C].1987,154-172.
    [6]
    Rodin G J.Squeeze film between two spheres in a power-law fluid[J].Journal of Non-Newtonian Fluid Mechanics,1996,63(2-3):141-152.
    [7]
    Xu Y,Huang W,Lian G.On the normal viscous force between two colliding spheres with an interstitial power-lawliquid[A].In:Kishino Ed.Pow ders & Grains 2001(4th International Conference on Micromechanics of Granular Media)[C].Lisse:Swets & Zeitlinger,2001,611-614.
    [8]
    Lian G,Xu Y,Huang W,et al.On the squeeze flow of power-law fluid between rigid spheres[J].Journal of Non-Newtonian Fluid Mechanics,2001,100(2-3):151-164.
    [9]
    Mooney M.Explicit formulae for slip and fluidity[J].Journal of Rheology,1931,2(2):210-222.
    [10]
    Atwood B T,Schowalter W R.Measurement of slip at the wall during the flow of high density polyethylene through a rectangular conduit[J].Rheol Acta,1989,28(2):134-146.
    [11]
    Kraynik A M,Schowalter W R.Slip at the wall and extrudate rough ness with aqueous solutions of polyvinyl alcohol and sodium borate[J].Journal of Rheology,1981,25(1):95-114.
    [12]
    Ramamurthy A V.Wall slip in viscous fluids and influence of material construction[J].Journal of Rheology,1986,30(2):337-357.
    [13]
    Melrose J R,Van Vliet J H,Ball R C.Continuous shear thickening and colloid surfaces[J].Physics Review Letter,1996,77(22):4660-4663.
    [14]
    Lian G,Thornton C,Adams M J.Discrete particle simulation of agglomerate impact coalescence[J].Chem Engng Sci,1998,53(19):3381-3391.
    [15]
    Rao I J,Rajagopal K R.The effect of slip boundary condition on the flow of fluids in a channel[J].Acta Mechanica,1999,135(1-2):113-126.
    [16]
    Joshi Y M,Lele A K,Mashelkar R A.A unified wall slip model[J].Journal of Non-Newtonian Fluid Mechanics,2000,94(2-3):135-149.
    [17]
    Cohen Y,Metzner A B.Apparent slip flow of polymer solutions[J].Journal of Rheology,1985,29(1):67-102.
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