航空学报2025，Vol.46Issue(2)：52-68,17.DOI:10.7527/S1000-6893.2024.30448
基于边界层理论的球头驻点热流计算方法
Calculation method for heat flow at stagnation point of spherical head based on boundary layer theory
田润雨 1龚红明 1常雨 1孔小平1
作者信息
- 1. 飞行器流体物理全国重点实验室,绵阳 621000||中国空气动力研究与发展中心 超高速空气动力研究所,绵阳 621000
- 折叠
摘要
Abstract
In aircraft thermal protection design,it is very important to accurately know the heat flux at the stagnation point of spherical head.Based on the assumption of self-similar boundary layer at the stagnation point of equilibrium air,the boundary layer equations are derived.The fourth-order Runge-Kutta method is used to numerically solve the ordinary differential boundary layer equations after coordinate transformation,and the forward approximation shooting method is established to find the optimal solution for the equations.Thus,by solving the boundary layer equations,a method for obtaining the heat flux at the stagnation point of the spherical head is established,which is referred to as Boundary Layer Equations Stagnation(abbreviated as BLES)heat flux in this paper.The results obtained are consis-tent with the experimental values.Using this method,the calculation deviation of heat flux formula of spherical stagna-tion point under Fay-Riddell equilibrium flow condition at 182 working conditions of 10-60 km height and different veloc-ity and wall temperature is analyzed.It is found that in most working conditions,the calculation deviation of heat flux increases obviously when the wall temperature approaches the outer edge temperature of boundary layer.New heat flux formulas for spherical stagnation point are obtained by fitting the dimensionless parameters into a combination of several dimensionless parameters.The heat flux calculation results under several working conditions are compared,obtaining better results than those of the spherical stagnation point heat flux formula under the Fay-Riddell equilibrium flow condition.关键词
边界层理论/层流自相似/球头/驻点热流/平衡流/气动热/BLES热流Key words
boundary layer theory/laminar flow self-similarity/spherical head/stagnation heat flux/equilibrium flow/aerodynamic heat/BLES heat flux分类
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田润雨,龚红明,常雨,孔小平..基于边界层理论的球头驻点热流计算方法[J].航空学报,2025,46(2):52-68,17.
