黏弹性Jeffery-Hamel流的磁-微结构分析
Analysis of magneto-microstructural improvisation of Jeffery-Hamel flow of a viscoelastic fluid
Ehtsham AZHAR 1Abid KAMRAN2
作者信息
- 1. Department of Mathematics and Statistics,PMAS Arid Agriculture University,Rawalpindi 44000,Pakistan
- 2. Department of Mathematics,Capital University of Science and Technology,Islamabad 46000,Pakistan
- 折叠
摘要
本文通过拉伸/收缩具有独立移动能力大分子的非平行通道,对磁流体的动力学进行数值分析.通过麦克斯韦方法建立了外磁场对黏弹性流体流动影响的数学模型,在经典流体动力动量方程中表现为体力.为了完整描述微观结构现象,利用角动量方程对数学模型进行强化.用凯勒盒有限差分法对所得到的非线性问题进行数值处理.求解如Hartmann数(1≤Ha≤5)、拉伸参数(-4≤C≤4)、旋转参数(3≤K≤9)、Weissenberg数(0.3≤Wi≤0.9)、Reynolds数(50≤Re≤150)等物理量的微分方程形式,并以图表形式表示出来.在所有讨论的情况中,只有发散通道中的角速度随着Hartmann数的增加而增加,这表明微结构旋转是由强磁场激发的.
Abstract
This article is structured around the mathematical analysis of magnetohydrodynamical flow through a stretching/shrinking nonparallel channel containing macromolecules with the ability to move independently.Maxwellian approach establishing the external magnetic field impact on the viscoelastic fluid flow appears as a body force in the classical fluid dynamic momentum equation.The mathematical model is reinforced by angular momentum equation for the complete description of the microstructural phenomena.The resulting nonlinear problem is numerical handled by the finite difference method of Keller box.The mathematical structure in the form of differential equations is solved and results are represented in the form of graphs and table for the values of physical parameters like Hartmann number(1≤Ha≤5),stretching parameter(-4≤C≤4),rotation parameter(3≤K≤9),Weissenberg number(0.3≤Wi≤0.9)and Reynolds number(50≤Re≤150).Of all the cases discussed,it is only the angular velocity in the divergent channel that seems to be increasing with increasing Hartmann number,indicating that microstructural rotations are stimulated by a strong magnetic field.
关键词
Jeffery-Hamel流/黏弹性流体/微观结构/数值解/非线性偏微分方程Key words
Jeffery-Hamel(JH)flow/viscoelastic fluid/microstructure/numerical solution/nonlinear partial differential equations引用本文复制引用
出版年
2023
NETL
NSTL
维普
万方数据