Flow of the Bingham-Papanastasiou Regularized Material in a Channel in the Presence of Obstacles: Correlation between Hydrodynamic Forces and Spacing of Obstacles

IF 0.8 Q3 ENGINEERING, MULTIDISCIPLINARY

Modelling and Simulation in Engineering Pub Date : 2021-04-27 DOI:10.1155/2021/5583110

Asif Mehmood, R. Mahmood, A. Majeed, F. Awan

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引用次数: 11

Abstract

The numerical modeling and simulation for the stationary Bingham fluid flow around two confined circular cylinders with various gap ratios are studied. The singularity in the model’s apparent viscosity is dealt by Papanastasiou’s regularization. The model equations are discretized by adopting the methodology based on finite element method (FEM) by choosing a mixed higher order LBB-stable finite element pair. The direct solver PARADISO has been utilized to solve the linearized system of equations. Hydrodynamic forces represented by drag and lift coefficients are computed, and a correlation coefficient is calculated for the gap ratios and for several values of the Bingham number . Line graphs for horizontal and vertical velocities are drawn. Moreover, velocity and pressure profiles are plotted for pertinent values of the parameters. Plug and shear zones are revealed via velocity snapshots in the domain. Pressure is nonlinear in the vicinity of the obstacles and becomes linear downstream in the cylinders as expected in channel flows.

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有障碍物的通道中Bingham-Papanastasiou正则化材料的流动:水动力与障碍物间距的关系

研究了两种不同间隙比的受限圆柱固定宾汉流体流动的数值模拟与仿真。用Papanastasiou正则化方法处理了模型表观黏度的奇异性。采用基于有限元法的方法，选取高阶lbb -稳定混合有限元对，对模型方程进行离散化。利用直接求解器PARADISO求解线性化方程组。计算了由阻力系数和升力系数表示的水动力，并计算了间隙比和宾厄姆数的几个值的相关系数。绘制了水平速度和垂直速度的线形图。此外，还绘制了相应参数值的速度和压力分布图。通过速度快照揭示了该区的堵塞带和剪切带。在障碍物附近，压力是非线性的，而在通道流动中，压力在圆柱体下游变成线性的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Modelling and Simulation in Engineering ENGINEERING, MULTIDISCIPLINARY-

CiteScore

2.70

自引率

3.10%

发文量

审稿时长

18 weeks

期刊介绍： Modelling and Simulation in Engineering aims at providing a forum for the discussion of formalisms, methodologies and simulation tools that are intended to support the new, broader interpretation of Engineering. Competitive pressures of Global Economy have had a profound effect on the manufacturing in Europe, Japan and the USA with much of the production being outsourced. In this context the traditional interpretation of engineering profession linked to the actual manufacturing needs to be broadened to include the integration of outsourced components and the consideration of logistic, economical and human factors in the design of engineering products and services.