Numerical analysis of glaze ice accretion on cables by considering the effects of typical in-plane vibrations

During the glaze icing process, cables experience vibrations due to the presence of aerodynamic forces, gravity, and other external forces. In most existing glaze icing models, the cables are assumed to be fixed, and water film is just run-down streams that do not reflect the complexity of the ice accretion process. To reveal the effects of in-plane motions of cable on the glaze icing process, two typical in-plane motions of aeolian vibration and galloping are taken into consideration and a mathematical water film-ice layer model is proposed for the first time. Based on the water film-ice layer model, ice accretion and water flow on the vibrating cables are studied, and key parameters of Collision Efficiency (CE), aerodynamic coefficients, and water film are evaluated by comparison with fixed cables. Moreover, by iterating the discretized mass and energy conservation equations with the computed aerodynamic coefficients, the effects of in-plane motions of the cable on water film and ice shapes are computed. The model then is verified with published experimental and numerical data. The results show that in-plane motions of the cables enlarge the windward face in dynamic forms which have certain effects on water film and ice shapes, and the model could provide accurate predictions of ice accretion.