Cryogenic wind tunnels can provide larger operating Reynolds number compared to conventional ones. However, the internationally known "moisture contamination problem" resulting from the residual trace water vapor desublimation in the cryogenic wind tunnel may affect the accuracy of the aerodynamic data. Due to extreme difficulties in experiments, the detailed trace water desublimation characteristics remain unrevealed. An Euler-Euler two-phase flow model based on classical nucleation theory and droplet growth model was established to predict the trace water vapor spontaneous desublimation in nitrogen flow over airfoil in a transonic cryogenic wind tunnel. The proposed model was validated by experimental data obtained from literature and showed good agreements. The verified model was applied to 0.152-m NACA (National Advisory Committee for Aeronautics) 0012 airfoil in Langley 0.3-m transonic cryogenic wind tunnel under a series of operating conditions. The simulated results reveal that the water vapor desublimation process in a transonic cryogenic wind tunnel can be divided into two patterns by a critical region. In Pattern Ⅰ, over the upper critical total temperature, the water vapor desublimate quickly during the rapid expansion of gas flow over the airfoil surface. In Pattern Ⅱ, below the lower critical total temperature, the water vapor is sufficiently supercooled and desublimate completely into small ice particles in the free-stream flow. For Pattern Ⅰ, the desublimation characteristics were analyzed in detail, and the influences of the desublimation process on the aerodynamic data were quantitatively evaluated, which can provide theoretical guidance for the practical operation of transonic cryogenic wind tunnels.
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