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Laminar axisymmetric recirculating flow of a nonlinear viscoplastic fluid

机译:非线性粘塑性流体的层流轴对称再循环流

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The laminar flow of a nonlinear viscoplastic fluid through an annular sudden expansion was investigated experimentally. In addition to a yield-stress shear-thinning fluid, the flow of a Newtonian fluid through the same expansion was also studied to form a baseline for comparison. Velocity vectors were measured on the vertical center plane using digital particle image velocimetry (PIV). From these measurements, two-dimensional contours of axial and radial velocity as well as the stream function were calculated covering the separated, reattached and redeveloping flow regions. The Reynolds number range was Re=1.8 to 31, based on the upstream pipe diameter and bulk velocity, and the corresponding yield number range for the non-Newtonian fluids was Y=0.28 to 1.22. The results obtained for a power-law index of n=0.68 indicate the existence of two distinct flow regimes as the Reynolds number increases and the yield number decreases. For a combination of low Reynolds numbers and high yield numbers, a non-moving fluid zone is observed immediately downstream of the step and no separated flow zone exists. For the higher Reynolds number and the lower yield number flow, a separated flow zone does exists downstream of the expansion step, which is followed by flow reattachment characterized by a three-dimensional zone of stagnant fluid.
机译:实验研究了非线性粘塑性流体通过环形突然膨胀的层流。除了屈服应力剪切稀化流体外,还研究了牛顿流体通过相同膨胀的流量,以形成比较基准。使用数字粒子图像测速仪(PIV)在垂直中心平面上测量速度矢量。从这些测量中,计算出轴向和径向速度的二维轮廓以及流函数,它们覆盖了分离的,重新连接的和重新发育的流动区域。基于上游管道直径和整体速度,雷诺数范围为Re = 1.8至31,非牛顿流体的相应屈服数范围为Y = 0.28至1.22。幂律指数为n = 0.68时获得的结果表明,随着雷诺数增加和屈服数减少,存在两种不同的流态。对于低雷诺数和高屈服数的组合,紧接在该步骤的下游观察到一个不动的流体区域,并且不存在分离的流动区域。对于较高的雷诺数和较低的屈服数流,在膨胀步骤的下游确实存在一个分离的流动区,然后进行流动重新连接,其特征在于停滞流体的三维区域。

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