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本文研究确定再入飞行器的最小总加热量气动外形问题。文中首先应用熟知的附面层换热关系式导出再入飞行器表面总热流率和再入飞行全过程的总加热量计算表达式,然后再借助于流场数值介的某些结果和普朗特—梅逸膨胀理论,运用变分法求介具有约定长细比和再入总重量条件下的最小再入加热外形;最后分析阻力系数变化对最小再入加热外形的影响。计算结果表明:在给定再入飞行器总重量和约定长细比的情况下,再入总加热量随阻力系数的增加而减少,最小再入加热外形是平头圆柱体。
This article studies determining the minimum total heating aerodynamic profile for reentry aircraft. In this paper, the formula of total heat flux of reentry vehicle surface and total heat reentry flight is first derived by using the well-known heat transfer equation of attached surface layer. Then, based on some results of flow field numerical simulation and Prandtl - Mei Yi expansion theory, the use of variational method to determine the minimum reentry heating profile with the agreed slenderness ratio and re-entry total weight conditions; Finally, analysis of drag coefficient changes on the minimum re-entry heating profile. The calculation results show that the total reheat amount decreases with the increase of the drag coefficient given the total reentry vehicle weight and the agreed slenderness ratio, and the minimum reheating heating profile is a flat cylinder.