The viscosity tensor of a ferrofluid under flow
The viscosity tensor of a ferrofluid under flow
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流动下铁磁流体的粘度张量
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
J. Rubí
中科院分区：
文献类型：
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作者：
C. Salueña;A. Pérez;J. Rubí
我们得到了在外流作用下磁流体的粘性张量的表达式。该系统被建模为一个刚性哑铃的方向上的键矢量的偶极矩悬浮。我们的出发点是Kramers-Kirkwood表达的静态粘性压力张量，其平均值计算与相应的扩散方程的静态解决方案。我们得到的压力张量的速度梯度和任何值的磁场的第二阶。从压力张量，我们推导出包括非牛顿效应的粘性张量。压力张量的分量与不同的粘性系数有关，这些粘性系数被分析为通过孔隙的流动和平面拉伸流动。
We obtain the expression for the viscosity tensor of a ferrofluid under external flow. The system is modeled as a suspension of rigid dumbbells with a dipole moment in the direction of their bond vector. Our starting point is the Kramers–Kirkwood expression for the stationary viscous pressure tensor whose average is computed with the stationary solution of the corresponding diffusion equation. We obtain the pressure tensor up to second order in the velocity gradient and for any value of the magnetic field. From the pressure tensor, we derive the viscosity tensor including non‐Newtonian effects. The components of the pressure tensor are related to different viscosity coefficients which are analyzed for flow through a pore and for planar elongational flow.