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首页> 外文期刊>Journal of magnetism and magnetic materials >Generalized magnetic blood flow in a cylindrical tube with magnetite dusty particles
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Generalized magnetic blood flow in a cylindrical tube with magnetite dusty particles

机译：具有磁铁矿粉尘颗粒的圆柱管中的广义磁血流

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摘要

This article deals with the magnetic blood flow in a cylindrical tube with uniformly distributed magnetite dusty particles (MDP). The two-phase Brinkman type fluid model is considered. The fractional governing equations are model in the cylindrical coordinate system taking into consideration the magnetization of the fluid due to the applied magnetic field. The fractional governing equations are subjected to physical initial and boundary conditions. The joint Laplace and Hankel transform are employed to develop exact analytical solutions. The obtained solutions are computed numerically and plotted in different graphs. It is noticed that for a long time tau = 0.4 the blood and MDP velocities increase with increasing values of the fractional parameter. In contrast, this effect reverses for a shorter time tau = 0.02. The magnetic field significantly influences the blood and MPD velocities due to Lorentz forces. Both velocities are decreased with increasing values of the magnetic parameter.
机译：本文处理具有均匀分布的磁铁矿粉尘颗粒（MDP）的圆柱管中的磁性血液流动。考虑了两相Brinkman型流体模型。分数控制方程是在圆柱坐标系中建模的，其中考虑了由于施加的磁场导致的流体磁化。分数控制方程受物理初始条件和边界条件的影响。使用Laplace和Hankel联合变换来开发精确的分析解决方案。对获得的解进行数值计算并绘制在不同的图中。注意到在很长时间tau = 0.4时，血液和MDP速度随着分数参数值的增加而增加。相反，该效果在较短的时间tau = 0.02时反转。由于洛伦兹力，磁场会显着影响血液和MPD的速度。两种速度都随磁参数值的增加而降低。

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