Prediction of Ice Shapes on NACA0012 2D Airfoil

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.…”

“…Then on each time step for any control volume the form of the moisture existence is determined on the basis of the thermodynamic model of ice accretion and the mass of the accreted ice, the water film thickness, the surface roughness, and the water velocity near the surface are calculated. The modeling of ice accretion can be broken down into the macrolevel and the microlevel [1,30].…”

“…The equations of the mass and energy balance for a control volume can be derived on the basis of the laws of mass, energy, and momentum conservation for a control volume located on the body surface [1,4,9,13,30,45,46].…”

“…The icing of aircraft in flight is an important safety problem of world-wide significance which has received considerable recent attention [1][2][3][4]. Under certain flight conditions the supercooled water droplets contained in clouds can freeze on the leading edge of the airframe, wings, fins, and details of aircraft engines.…”

Ice Shape Characterization Using Self-Organizing Maps

“…Figure 2 shows the comparison of a measured ice shape to three different ice shape predictions for a NACA 0012 airfoil (Ref. 2). Like most other comparisons of computational predictions to ice shape measurements, Fortin et al (Ref.…”