非牛顿流体在偏心环空中轴向层流的摄动解
Perturbation Solution of Non-Newtonian Fluid Axial Laminar Flow through Eccentric Annuli
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摘要: 本文应用摄动方法研究了非牛顿流体在偏心环形空间中轴向层流的流动规律.文中以相对偏心度ε作为摄动参数,得到了其流场、极值速度、压力梯度等流动参数的一阶解.Abstract: Using the perturbation method, the axial laminar flow of Non-Newtonian fluid through an eccentric annulus is studied in the present paper. The relative eccentricity ε is taken as a perturbation parameter, and the first order perturbation solutions of the problem, such as velocity field, limit velocity and pressure gradient, are all obtained.
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Key words:
- non-Newtonian fluid /
- eccentric annulus /
- perturbation method
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[1] Redberger, P.J. and M.E. Charles, Axial laminar flow in a circular pipe containing a fixed eccentric core, Canada J. Chem. Eng.,(1962), 149. [2] Lyoho, A.W., An accurate slot-flow model for non-Newtonian fluid flow through eccentric annuli, SPEJ.,(1981), 565. [3] Yue Xiang-an, Chen Jia-lang and Huang Kuang-dao, Velocity profiles for axial laminar flow of Power-law fluids through eccentric annuli, J. Hydrodynamics, 4 (1989), 79. [4] 岳湘安、郝江平,非牛顿流体在环形空间中轴向层流的精确解,水动力学研究与进展,1(2)(1986),51 [5] Van Dyke, M., Perturbation Methods in Fluid Mechanics, The Parabolic Press (1955).
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