A FEM approach to biomagnetic fluid flow in multiple stenosed channels

A FEM approach to biomagnetic fluid flow in multiple stenosed channels
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多个狭窄通道中生物磁流体流动的有限元方法

DOI:
10.1016/j.compfluid.2014.03.021
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发表时间:
2014
期刊:
影响因子:
--
通讯作者:
M. Tezer
M. Tezer
中科院分区:
--
文献类型:
--
作者:
Ö. Türk;C. Bozkaya;M. Tezer

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数值研究了粘性、不可压缩、牛顿流体和导电流体的非定常层流生物磁流体流动。具体地说,二维流驱动的无限通道中包含多个狭窄和受空间变化的外部磁场被认为是。数值方法是基于使用有限元法(FEM)的空间离散和无条件稳定的向后有限差分格式的时间积分,求解耦合的非线性微分方程的流函数,涡量和温度。由于非线性,方程之间采用迭代过程。研究内容主要集中在由于通道沿着不规则收缩而引起的流动和温度特性的变化。分析了外加磁场、磁场位置和磁场强度对生物磁流体流动的影响。数值计算结果的流线,等涡度和温度等值线的几个值的磁场强度在不规则和多重狭窄的渠道。结果表明,由于狭窄和磁源而出现的涡旋长度随着磁场强度和狭窄程度的增加而增加。
The unsteady and laminar biomagnetic fluid flow of a viscous, incompressible, Newtonian and electrically conducting fluid is numerically investigated. Specifically, the two-dimensional flow driven in an infinite channel containing multiple stenosis and subject to a spatially varying external magnetic field is considered. The numerical method is based on the use of finite element method (FEM) in spatial discretization and unconditionally stable backward finite difference scheme for the time integration, for solving coupled nonlinear differential equations in terms of stream function, vorticity and temperature. Due to nonlinearity, an iterative process is employed between the equations. The study focuses on the alteration of the flow and its temperature behaviors due to the irregular constrictions along the channel. Also, the effects of the external magnetic field, its location and its intensity on the biomagnetic fluid flow are analyzed. The numerical results are presented in terms of streamlines, equivorticity and temperature contours for several values of magnetic field intensity in irregularly and multiply stenosed channels. It is shown that the lengths of the vortices appeared due to the stenosis and magnetic source, increase with an increase in the intensity of the magnetic field and the severity of the constriction.