摘要
本文给出二维加热且具有表面烧蚀的发汗控制数学模型。采用时间跨半步的交替方法,将二维活动边界分布参数控制方程差分化,得到三对角方程组。对电磁炮弹飞行进行数学仿真后表明:控制参数对温度场和活动边界的控制是有效的;该数学模型符合实际物理过程。从数值角度提供了数学理论问题解析性质的依据,给出了二维温度场特点并讨论了同步烧蚀问题。
This paper represents a mathematical model of transpiration cooling control system with two-dimensional heating and surface ablating. Applying time semistep alternating direction method to quantize this mathematical model, the tri-diagonal difference equations are obtained. The mathematical simulation results for the flying shell of the electromagnetic railgun show that the control parameter is effective for the control of temperature field and the boundary motion. The evidence of the analytic character on the mathematical theory is provided from the mathematical simulation. The characteristic of two-dimensional temperature field is given and the problem of the synchronization ablation is discussed.
出处
《自动化学报》
EI
CSCD
北大核心
1993年第4期393-403,共11页
Acta Automatica Sinica
基金
国家自然科学基金
关键词
发汗
数学仿真
控制
数学模型
Transpiration, variable-boundary, heat transfer, mathematical simulation.
