Thin water film around a cable subject to wind

Numerical investigation of the coupled interaction between an unsteady aerodynamic flow field and a water film coating on a circular cylinder

“…given by Lemaitre et al (2007) in the case of flow on a static cylinder and with an earlier equation (Reisfeld and Bankoff, 1992) for the case without aerodynamic loading.…”

“…Given the nature of the problem, the same assumptions regarding the thin film and the boundary conditions were made here as were made in Lemaitre et al (2007), and so the evolution equation (11) is essentially the same. However, unlike in the previous work, we present (11) in a dimensional rather than non-dimensional format, this being done to facilitate the coupling to the unsteady aerodynamic solver.…”

“…However, unlike in the previous work, we present (11) in a dimensional rather than non-dimensional format, this being done to facilitate the coupling to the unsteady aerodynamic solver. Additionally, the results presented by Lemaitre et al (2007) used constant aerodynamic loading rather than the time varying fully coupled approach utilised in the current research.…”

“…To date, the majority of the numerical investigations of RWIV have instead focused on fixed rigid artificial rivulets, with 2D and 3D large eddy simulations (LES) examining the effect that static rivulets have on the overall flow field (Li and Gu 2006;Liu et al 2007). That said, Lemaitre et al (2007) presented a different approach which uses lubrication theory and the time averaged flow-field over a circular cylinder to ascertain the evolution of the rain water rivulets.…”

“…The approach adopted couples a modified, pre-existing unsteady aerodynamic solver for the external aerodynamic flow field with a solver based on a thin-film model for the evolution and deformation of the water rivulets. The thin-film approach used for the rivulet model is similar to that used by Lemaitre et al (2007). Details of the development and validation of the rivulet model along with results of the effect of various aerodynamic loadings on the rivulet evolution and growth are presented in detail in Robertson et al (2010).…”