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Numerical Approximation of a Non-Newtonian Flow with Effect Inertial

机译：非牛顿流动效应的数值逼近

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V iscoplastic fluids are materials of great interest both in industry and in our daily lives. These applications range from food and cosmetics products to industrial applications such as plastics in the industry of polymers and drilling muds the oil industry. This class of material is characterized by having a yield stress that must be exceeded to the material starts to flow. These fluids are classically predicted by purely viscous models with yield stress. In the last decade, however, there some experimental visualizations has reported that the unyielded regions exhibit elasticity inside. This work is an attempt to investigate the effect of elasticity and inertia in those materials. We will studied, therefore, inertia flow of elastic-viscoplastic materials with no thixotropic behavior, according to the material equation introduced in de Souza Mendes (2011). The mechanical model is approximated by a stabilized finite element method in terms of extra stress, pressure and velocity. Due to its fine convergence feature, the method allows the use of equal-order finite elements and generates stable solutions in high advective-dominated flows. In this study is considered the geometry of a biquadratic cavity, in which the top wall moves to the right at constant velocity. In all computations is used biquadratic Lagrangian (Q1) elements. Results focuses in determining the influence of elasticity and inertia on the position and shape of unyielded. These results proved to be physically meaningful, indicating a strong interlace between elasticity and inertia on determining of the topology of yield surfaces.
机译：v Iscoplastic液体是工业和日常生活中兴趣的极大兴趣。这些应用范围从食品和化妆品产品到工业应用，如聚合物和钻井泥浆工业的塑料。这类材料的特征在于具有必须超过材料的屈服应力开始流动。这些流体通过屈服应力的纯粘性模型进行典型预测。然而，在过去十年中，一些实验性可视化报道了未克服的区域在内部表现出弹性。这项工作是一种试图探讨这些材料中弹性和惯性的影响。因此，我们将研究惯性粘弹性材料的惯性流动，没有触变行为，根据De Souza Mendes（2011）的材料方程。在额外的压力，压力和速度方面，机械模型通过稳定的有限元方法近似。由于其精细收敛特征，该方法允许使用相等的有限元，并在高平面主导的流动中产生稳定的解决方案。在该研究中被认为是双层腔的几何形状，其中顶壁以恒定速度向右移动。在所有计算中，使用双层拉格朗日（Q1）元素。结果侧重于确定弹性和惯性的影响，对未粘保的位置和形状。这些结果证明是物理有意义的，表明弹性和惯性之间的强烈交织在确定屈服表面的拓扑上。

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