摘要
传统Messinger扩展模型将蒸发简化为壁面温度的线性函数,以便推导冰层和水膜温度微分方程的原函数。但结冰过程中蒸发与壁面温度并非线性关系,若引入蒸发非线性计算式,冰层和水膜温度微分方程将无法推导出原函数。而且有研究者在应用Messinger扩展模型时忽略了蒸发对结冰的影响,在某些状态下可能造成较大误差。针对以上问题,本文对Messinger扩展模型做出改进。将冰层和水膜温度假设为带未知系数的线性方程,建立未知系数的隐示表达式,采用牛顿迭代对未知系数进行求解,以数值迭代代替方程推导。基于NACA0012翼型,对忽略蒸发以及采用不同蒸发计算式对结冰外形的影响进行了分析。通过计算不同环境温度下的结冰外形,并与FENSAP-ICE软件和试验冰形进行对比,验证了该改进方法的有效性。
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.
作者
宁义君
谢文龙
朱东宇
张付昆
Ning Yijun;Xie Wenlong;Zhu Dongyu;Zhang Fukun(Liaoning Provincial Key Laboratory of Aircraft Ice Protection,AVIC Aerodynamics Research Institute,Shenyang 110034,China;Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)
出处
《航空科学技术》
2024年第2期58-67,共10页
Aeronautical Science & Technology
基金
航空科学基金(2022Z006026005)。
