ON THE QUESTION OF HYDRODYNAMIC INSTABILITY OF NEMATICS IN A MAGNETIC FIELD. III: ACCOUNTING FOR THE INERTIAL TERM IN THE EQUATION OF MOTION IN THE MODEL OF MAGNETOHYDRODYNAMIC DOMAIN FOR SPLAY DISTORTION

A magnetohydrodynamic domain model describing the motion of a nematic liquid with positive anisotropy of diamagnetic susceptibility in the splay distortion geometry is considered. The inertial term is taken into account in the equation of motion of a nematic model. This approach makes it possible to introduce dimensionless parameters into the model: ratios of Eriksen numbers to Reynolds numbers. The introduction of such parameters allows one to experimentally assess the relative role of elastic and viscous forces in nematics of different nature.