Research on the Influence of Evaporation on Runback Icing Characteristics Based on Extended Messinger Model
The traditional extended Messinger model simplifies evaporation as a linear function of the wall temperature in order to derive the original functions of the differential equations of the ice layer and water film temperature.However,the relationship between evaporation and wall temperature is not linear in the process of icing.If the nonlinear equation of evaporation is introduced,the original functions of the differential equations of ice layer and water film temperature cannot be derived.In addition,some researchers ignored the effect of evaporation on icing when applying extended Messinger model,which may cause large errors in some icing conditions.To solve the problems above,the extended Messinger model is improved.The ice layer and water film temperature are assumed to be a linear equation with unknown coefficients,the implicit expressions of unknown coefficients are established,the unknown coefficients are solved by Newton iteration,and the equation derivation is replaced by numerical iteration.Based on NACA0012 airfoil,the effects of ignoring evaporation and using different evaporation formulas on the icing shape were analyzed.The icing shapes at different ambient temperatures were calculated and compared with FENSAP-ICE software and experimental ice shapes,and the effectiveness of the improved method was verified.
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