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Aerospace 2020, 7, 123 7 of 15 Present Finer resolusion Harris (1981) Re = 3,000,000 (Ma = 0.3) 1 0 -1 0 0.5x/c1 Figure 4. Pressure coefficient of the NACA 0012 airfoil. Second, the heater temperatures for the heating of NACA 0013 are compared. The experimental data were obtained from Asaumi et al. [25], who conducted an anti-icing experiment using a heater under constant heat flux. We conducted an icing simulation to reproduce their experiment for validation; the numerical conditions are presented in Table 1. The initial velocity and temperature of the droplet were equal to those under the main stream condition; the heater was set from the leading edge to 48% of the chord length c (i.e., 48%c). To reproduce the constant heat flux condition, we adjusted the heater temperature Theater so that the temperature gradient (represented by Tc and Theater) in the wall-normal direction inside the wall is kept constant. The total number of droplets is 1 million, where the droplets are randomly arrayed over 1 chord width at the 7-chord-upstream location from the leading edge; thus, the formed ice thickness was modified by the LWC and MVD at the inlet. Although the arrangements of the heater and thermometer were different from those in the experiment, we can still compare the numerical results with the experimental results because the heater was very thin in the experiment. As shown in Figure 5, the heater temperature Tc is in reasonable agreement with the experimental results. Hence, these results support the validity of the proposed numerical scheme. Table 1. Numerical conditions for heater validation [25]. Airfoil Chord length Angle of attack Freestream velocity Freestream temperature Reynolds number Median volume diameter (MVD) Liquid water content (LWC) Initial droplet temperature Total droplet number Exposure time Ambient pressure Heating condition Heating region Wall material Wall thickness NACA 0013 [m] 0.12 [◦] 0 [m/s] 30 [◦C] −8 [-] [μ m] 58 [g/m3] 2.8 [◦C] −8 [-] [s] 300 [kPa] Constant heat flux 0–48% chord Titanium [μm] 6 285,000 1,000,000 101.325 CpPDF Image | Anti-Icing Electric Heaters for Icing on the NACA 0012 Airfoil
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