Stability Analysis of Thin Electrically-Conductive Viscoelastic Fluid Film Flow Along a Rotating Cylinder in a Magnetic Field

In this study, stability of thin electrically-conductive viscoelastic fluid film flow along the side of a rotating vertical cylinder with the effect of magnetic field is discussed in this paper. This paper applied long-wave perturbation method to solve generalized nonlinear motion equation of thin film. The criteria for linear thin film stability can be obtained by normal mode method, then the multiple-scales method is applied to confirm the nonlinear stability. By the coefficient in Ginzburg-Landau equation, different states of the thin film can be determined. From this study, in order to enhance the stability of the thin film, it can be achieved by either increasing the effect of the magnetic field, decreasing the viscoelastic effect or decreasing the rotational velocity. Meanwhile, increasing radius under large Rossby number can lead to losing stability easier, such as the dimensionless radius is more than 50. It is worth noting that this phenomenon is leaded by the radius, and the influence is stronger than other parameters. © 2022, Chinese Mechanical Engineering Society. All right reserved.