Development of a shallow water icing model in FENSAP-ICE

A mathematical model for atmospheric ice accretion and water flow on a cold surface

“…Poots [5], models it as a steady-state thin film. Bourgault et al [10] also assume a thin fluid film, in which case lubrication theory may be applied (not shallow water theory as the name of their code implies). This leads to a mass balance involving an unknown film height and accretion rate.…”

“…Poots [5] (and references therein) describes the use of film flow models on accreting ice surfaces and demonstrates the validity of this approach by comparison with experiments. Bourgault et al [10] have introduced their film flow model into a prototype aircraft icing code. The model developed by Myers et al [19] deals with ice accretion and water flow on a flat surface.…”

“…The effect of surface roughness on the heat transfer coefficient and current practice in icing codes is discussed in [1]. Another significant limitation of icing codes is the inadequate modelling of film runback and the coupling of the film flow to the accretion [10,11].…”

Thin water films driven by air shear stress through roughness

“…For example, Thomas et al [58] have shown that supercooled droplets on ice run back as a liquid film, and experiments by Vargas [66] have shown that the ice surface can be wet everywhere in glaze icing conditions near the stagnation line. Thin water films are also a commonly used model for water transport in engineering simulations of aircraft icing (see [8,41], for example). The goal of this study is to examine the properties of thin air-driven water films suitable for aircraft icing applications in the context of high Reynolds number boundary layer theory.…”

Eulerian method for ice crystal icing in turbofan engines

“…Bourgault et al [12] and Beaugendre et al [9] have developed a film model which assumes that the film thickness depends solely on the wall shear stress τ a . For a thin film the velocity profile within the film can be assumed to be linear with a zero velocity at the wall.…”