A comprehensive finite element examination of Carreau Yasuda fluid model in a lid driven cavity and channel with obstacle by way of kinetic energy and drag and lift coefficient measurements
A comprehensive finite element examination of Carreau Yasuda fluid model in a lid driven cavity and channel with obstacle by way of kinetic energy and drag and lift coefficient measurements
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DOI：
10.1016/j.jmrt.2019.12.010
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发表时间：
2020-03-01
影响因子：
6.4
通讯作者：
Sherif, El-Sayed M.
中科院分区：
文献类型：
--
作者：
Mahmood, Rashid;Bilal, S.;Sherif, El-Sayed M.
本文成功地处理了含剪切率非线性粘性的流动问题的空间离散和求解。采用稳定有限元对Q2/P1 disc分别逼近速度空间和压力空间。离散形式的非线性表达式通过实施牛顿法线性化，并使用几何多重网格法求解得到的系统。驱动空腔和障碍物产生的流动是计算流体力学的重要基准。在当前的页码中，剪切速率依赖的粘度模型被称为Carreau Yasuda流体。所得结果进行了演示和分析的速度和粘度的帮助下，图。此外，我们还为驱动空腔问题的动能（K.E）和圆形障碍物问题的阻力和升力系数提供了新的参考数据。对驱动腔问题的计算结果表明，K.E是弛豫参数λ和幂律指数n的增函数，而是模型参数α的减函数。在绕障碍物流动的情况下，阻力系数（C-D）和升力系数（C-L）对（？）和（n），然而对参数（a）的依赖性很弱。(C)2019年，任作家。由爱思唯尔公司出版
In current pagination the flow problems involving shear rate dependent nonlinear viscosity have been treated successfully in the sense of space discretization and solvers. The stable finite element pair Q2/P1disc is employed to approximate the velocity and pressure spaces independently. Discretized form of non-linear expressions is linearized by implementing Newtons procedure and the resulting systems are solved using a geometric multigrid approach. The flow generated by way of driven cavity and by an obstacle are very important benchmarks of computational fluid dynamics. In current pagination shear rate reliant viscosity model renowned as Carreau Yasuda fluid is capitalized. The obtained results are demonstrated and analyzed with the help of velocity and viscosity plots. In addition, we have produced new reference data for kinetic energy (K.E) for driven cavity problem and drag and lift coefficients for circular obstacle problem. The obtained results for driven cavity problem reveal the fact that K.E is an increasing function of the relaxation parameter (lambda) and power law exponent (n) whereas a decreasing function of the model parameter (a) . For the case of flow around obstacle the drag coefficient (C-D) and the lift coefficient (C-L) show strong dependence on (?) and (n) , however a weak dependence on the parameter (a) . (C) 2019 The Authors. Published by Elsevier B.V.