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Effects of Geometry, Flow Index, and Temperature on Flow Splitting

机译:几何形状,流动指数和温度对分流的影响

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In this paper, the flow splitting of fluids with complex rheological properties in complex geometries is examined. This work is motivated by the desire to achieve good control of flow-splitting processes independent of the geometries of the manifold. As an example of this class of flows, the flow of a complex fluid from a main pipe to two branch pipes is considered. Using the diameter and length of one branch as parameters, the flow splitting of Newtonian and power-law fluids was studied. This study was conducted under both isothermal and non-isothermal conditions; the latter were achieved by imposing a temperature difference between the wall and the inlet. Hence, the splitting of power-law fluids with temperature-dependent viscosity was also studied and compared with the isothermal cases. Our analytical and numerical results indicate that the unevenness in the split is accentuated as the geometrical asymmetry and degree of shear thinning increase. In the non-isothermal cases, symmetric splitting is approached as the ratio of inlet to wall viscosity increases. However, as this ratio is reduced below unity, asymmetric splitting is promoted.
机译:在本文中,研究了具有复杂流变性的复杂几何形状的流体的分流。这项工作的动机是希望获得与分流板的几何形状无关的对分流过程的良好控制。作为这类流的一个例子,考虑了复杂流体从主管流到两个支管的情况。以一个分支的直径和长度为参数,研究了牛顿流体和幂律流体的分流。这项研究是在等温和非等温条件下进行的。后者是通过在壁和入口之间施加温差来实现的。因此,还研究了随温度变化粘度的幂律流体的分裂,并与等温情况进行了比较。我们的分析和数值结果表明,随着几何不对称性和剪切稀化程度的增加,裂缝中的不均匀性加剧。在非等温情况下,随着入口与壁的粘度之比增加,接近对称分裂。但是,随着该比率降低到低于1,将促进不对称分裂。

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