Miranda JA, Widom M
Laboratorio de Fisica Teorica e Computacional, Departamento de Fisica, Universidade Federal de Pernambuco, Recife, Pernambuco 50670-901, Brazil.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Feb;61(2):2114-7. doi: 10.1103/physreve.61.2114.
Parallel flow in a Hele-Shaw cell occurs when two immiscible liquids flow with relative velocity parallel to the interface between them. The interface is unstable due to a Kelvin-Helmholtz type of instability in which fluid flow couples with inertial effects to cause an initial small perturbation to grow. Large amplitude disturbances form stable solitons. We consider the effects of applied magnetic fields when one of the two fluids is a ferrofluid. The dispersion relation governing mode growth is modified so that the magnetic field can destabilize the interface even in the absence of inertial effects. However, the magnetic field does not affect the speed of wave propogation for a given wave number. We note that the magnetic field creates an effective interaction between the solitons.
当两种互不相溶的液体以相对速度平行于它们之间的界面流动时，在亥姆霍兹槽中就会出现平行流。由于开尔文 - 亥姆霍兹型不稳定性，界面是不稳定的，在这种不稳定性中，流体流动与惯性效应耦合，导致初始的小扰动增长。大幅度扰动形成稳定的孤子。当两种流体之一是铁磁流体时，我们考虑外加磁场的影响。控制模式增长的色散关系会被修改，这样即使在没有惯性效应的情况下，磁场也能使界面失稳。然而，对于给定的波数，磁场并不影响波的传播速度。我们注意到磁场在孤子之间产生了有效的相互作用。
