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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Submerged Jet Flows of Non-Newtonian Fluids
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Submerged Jet Flows of Non-Newtonian Fluids

机译:非牛顿流体的淹没射流

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摘要

Plane and axisymmetric, submerged jet flows of non-Newtonian power-law fluids, issuing from a wall, are investigated in the limit of large effective Reynolds numbers. In contrast to previous investigations, the interaction between jet flow and induced flow, leading to a change of the jet momentum flow, is taken into account using matched asymptotic expansions combined with a two-scaling technique. For plane jets the change of momentum flow within the jet is small of higher order for n > 2/3, but of the order 1 for 1/2 ≤ n ≤ 2/3, with n denoting the power-law index. In the latter range a recirculatory flow region ("eddy") is predicted if the inclination angle between the wall and the jet axis is below some critical value. In the axisymmetric case the change of momentum flow within the jet is small of higher order for n > 1 and of the order 1 for the well-known Newtonian case n = 1. The full equations of motion are also solved numerically using a finite element code.
机译:在有效雷诺数较大的范围内,研究了从壁面喷出的非牛顿幂律流体的平面和轴对称浸没式射流。与以前的研究相比,使用匹配的渐近展开和二比例缩放技术考虑了射流与诱导流之间的相互作用,导致射流动量流的变化。对于平面射流,当n> 2/3时,射流内的动量流变化较小,但对于1/2≤n≤2/3,动量流的变化较小,而n表示幂律指数。在后一个范围内,如果壁和射流轴之间的倾斜角低于某个临界值,则可预测出一个再循环流动区域(“涡流”)。在轴对称情况下,对于n> 1,射流内的动量流的变化较小,对于较高的阶数,对于众所周知的牛顿情况n = 1,其阶次为1。完整的运动方程也使用有限元数值求解。码。

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