Linear stability of flow along a rotating cylinder

The paper discusses the stability of the flow of a layer of incompressible Newtonian fluid over the surface of a vertically rotating cylinder with respect to long-wave perturbations characterized by rotational symmetry. The effect of the rotation of the cylinder and other characteristic flow parameters on the shape of neutral stability curve is evaluated. It is shown that an increase in surface tension results in a more stable flow, and an increase in rotational velocity has a destabilizing effect on external flow and contributes to flow stabilization over the internal surface of the cylinder.