New Roughness Computation Method and Geometric Accretion Model for Airfoil Icing

Mathematical modeling of ice body formation on the wing airfoil surface

“…-in Shin's study [28] the roughness measure and distribution over the ice surface were investigated; it was shown that the empirical relation developed by Ruff [22] is not adequate in the case in which the surface is coated with a water film; -studies of Al-Khalil et al [23,24] made it possible to analytically describe the formation and motion of the film and the rivulets over the surface basing on the condition of equilibrium between the transverse and aerodynamic forces; -studies of Hansman et al [29] showed that the surface tension is the main factor determining the droplet formation on the wing surface; -studies of Fortin et al [1,30] made it possible to more fully describe the liquid phase behavior on the wing surface. These studies allow one to use the thermodynamic model in which the liquid phase and the roughness are preassigned using the physical parameters rather then by empirical relations.…”

Heat and mass transfer during ice accretion on aircraft wings with an improved roughness model

“…In this paper, the roughness is determined using an analytical formulation for each one of the three possible liquid water states: film, bead or rivulet. A detailed description is presented in Fortin et al [11].…”

“…The continuous panel bisection method is illustrated in Fig. 8 and described in more details by Fortin et al [11].…”

“…Since it has been presented in detail in Ref. [11], only a brief explanation of the geometric accretion model is presented. The effects of these improvements on the simulation are shown by comparing the mass and shape of accreted ice with experimental and previously reported results on the same airfoil.…”

Multi-Stepping Ice Prediction on Cylinders and Other Relevant Geometries

“…However, physically unrealistic phenomena arise from Messinger's approach, as pointed out in [8], and alternative models have been developed. In particular, because evidence of liquid water on top of the ice surface has been shown through many icing experiments at mild temperatures [9][10][11][12], the movement of this fluid layer may be modelled using empirical formulations [13] or using the Navier-Stokes equations, simplified using lubrication theory [8,[14][15][16][17]. In this situation, the energy balance of the Messinger model should be replaced by a Stefan condition applied at the moving ice-water boundary to determine the ice growth rate [17][18][19].…”