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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Effect of gap width on stability of non-Newtonian Taylor-Couette flow
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Effect of gap width on stability of non-Newtonian Taylor-Couette flow

机译：间隙宽度对非牛顿Taylor-Couette流稳定性的影响

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摘要

The effect of gap width on the stability of non-Newtonian Taylor-Couette flow is studied. The fluid is assumed to follow the pseudo plastic Carreau-Bird model and mixed boundary conditions are imposed. The dynamical system, resulted from Galerkin projection of the conservation of mass and momentum equations, includes additional nonlinear terms in the velocity components originated from the shear-dependent viscosity. It is observed that, depending on the gap width for certain fluid, the base flow loses its radial flow stability to the vortex structure known as Taylor vortices. The emergence of theses vortices corresponds to the onset of a supercritical bifurcation also seen in the flow of a linear fluid. A range of parameters is found in which the combination of shear thinning and gap effect leads to destabilizing the vortex structure indicated as the point of Hopf bifurcation. This is not observed in the Newtonian flow, in which the vortices remain stable regardless of the inertia. Furthermore, upon increase of gap width both the critical Taylor and Hopf bifurcation numbers also increase. The obtained results are in good agreement with the available studies carried out only for certain cases.
机译：研究了间隙宽度对非牛顿泰勒-库埃特流稳定性的影响。假定流体遵循拟塑性Carreau-Bird模型，并施加了混合边界条件。动力系统是由质量和动量方程守恒的Galerkin投影产生的，在速度分量中还包括其他非线性项，这些非线性项源于与剪切有关的粘度。可以看出，取决于某些流体的间隙宽度，基本流会失去其径向流稳定性，而这种径向流稳定性会流向称为泰勒涡流的涡流结构。这些涡旋的出现对应于在线性流体流中也看到的超临界分叉的开始。发现了一系列参数，其中剪切变稀和间隙效应的组合导致不稳定的涡流结构（表示为Hopf分叉点）。这在牛顿流中没有观察到，在牛顿流中，不管惯性如何，涡流都保持稳定。此外，随着间隙宽度的增加，临界的泰勒和霍普夫分叉数也都增加。获得的结果与仅在某些情况下进行的现有研究非常吻合。

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