Nonlinear Rupture Theory of a Thin Micropolar Liquid Film on a Cylinder under a Magnetic Field

This paper studies the nonlinear rupture process of the thin micropolar liquid film on a cylinder under the influence of the uniform magnetic field. The long-wave perturbation method is employed to derive the generalized kinematic equations with free film surface conditions. The generalized nonlinear evolution equation is solved numerically. The effects of magnetic field, the van der Waals potential, the surface tension, the micropolar parameter, K, and the radius of the cylinder on the rupture behavior are extensively investigated. The results show that the film rupture time will be delayed by increasing the associated parameters including the Hartmann number, the micropolar parameter, and the radius of the cylinder, or to decrease the initial disturbance.