LIN Jian-zhong, YOU Zhen-jiang. Stability Analysis in Spatial Mode for Channel Flow of Fiber Suspensions[J]. Applied Mathematics and Mechanics, 2003, 24(8): 771-778.
Citation: LIN Jian-zhong, YOU Zhen-jiang. Stability Analysis in Spatial Mode for Channel Flow of Fiber Suspensions[J]. Applied Mathematics and Mechanics, 2003, 24(8): 771-778.

Stability Analysis in Spatial Mode for Channel Flow of Fiber Suspensions

  • Received Date: 2002-08-25
  • Rev Recd Date: 2003-04-29
  • Publish Date: 2003-08-15
  • Different from previous temporal evolution assumption,the spatially growing mode was employed to analyze the linear stability for the channel flow of fiber suspensions.The stability equation applicable to fiber suspensions was established and solutions for a wide range of Reynolds number and angular frequency were given numerically.The results show that,the flow instability is governed by a parameter Hwhich represents a ratio between the axial stretching resistance of fiber and the inertial force of the fluid.Anincrease of Hleads to araise of the critical Reynolds number,adecrease of corresponding wave number,a slowdown of the decreasing of phase velocity,a growth of the spatial attenuation rate and a diminishment of the peak value of disturbance velocity.Although the unstable region is reduced on the whole,longwave disturbances are susceptible to fibers.
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  • [1]
    Arrannaga A B.Friction reduction characteristics of fibrous and colloidal substances[J].Nature,1970,225:447-449.
    [2]
    Yang Y,Chung J N,Troutt T R,et al.The influence of particles on the spatial stability of two-phase mixing layers[J].Physics of Fluids A,1990,2:1839-1845.
    [3]
    周泽宣,林建忠.悬浮固粒对二维混合层流动失稳特性的影响[J].应用数学和力学,1997,18(6):507-512.
    [4]
    Azaiez J.Linear stability of free shear flows of fiber suspensions[J].J Fluid Mech,2000,404:179-209.
    [5]
    Azaiez J.Reduction of free shear flows instability:Effects of polymer versus fiber additives[J].J Non-Newtonian Fluid Mech,2000,91:233-254.
    [6]
    Itoh N.A power series method for the numerical treatment of the Orr-Sommerfeld equation[J].Trans Japan Soc Aero Space Sci,1974,17:65-75.
    [7]
    Nishioka M,Iida S,Ichikawa Y.An experimental investigation of the stability of plane Poiseuille flow[J].J Fluid Mech,1975,72:731-751.
    [8]
    Batchelor G K.The stress generated in a non-dilute suspension of elongational particles by pure straining[J].J Fluid Mech,1971,46:813-829.
    [9]
    Hinch E J.Mechanical models of dilute polymer solutions in strong flows[J].Phys Fluids,1977,20:22-30.
    [10]
    Folgar F P,Tucker C L.Orientation behavior of fibers in concentrated suspensions[J].J Reinf Plast Comp,1984,3:98-119.
    [11]
    Cintra J S,Tucker C L.Orthotropic closure approximation for flow-induced fiber orientation[J].J Rheol,1995,39:1095-1122.
    [12]
    Thomas L H.The stability of plane Poiseuille flow[J].Phys Rev,1953,91:780-783.
    [13]
    Orszag S A.Accurate solution of the Orr-Sommerfeld stability equation[J].J Fluid Mech,1971,50:689-703.
    [14]
    Pekeris C L,Shkoller B.Stability of plane Poiseuille flow to periodic disturbances of finite amplitude in the vicinity of the neutral curve[J].J Fluid Mech,1967,29:31-38.
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