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兵工学报 ›› 2007, Vol. 28 ›› Issue (6): 720-724.

• 论文 • 上一篇    下一篇

高能燃烧剂作用下岩石介质中非稳态溫度场计算

闫军,易建政,崔海萍   

  1. 军械工程学院,河北石家庄050003
  • 收稿日期:2006-03-30 上线日期:2014-12-25
  • 通讯作者: 闫军

Analytic Solution of Nonsteady Temperature Field in Rocks Acted by High Energy Burners

YAN Jun, YI Jian-zheng,CUI Hai-ping   

  1. Ordnance Engineering College, Shijiazhuang 050003, Hebei, China
  • Received:2006-03-30 Online:2014-12-25
  • Contact: YAN Jun

摘要: 以厚壁筒的热传导为模型,研究了高能燃烧剂作用下岩石介质中温度场分布。根据燃烧剂的作用特点,在热传导方程的边界条件中引入单位脉冲函数以模拟其作用的瞬时冲击特性,通过拉普拉斯变换求解瞬态温度场分布的解析解。利用该解析解进行计算,结果表明,热冲击在瞬时完成后,温度场的作用范围仅限于距离炮孔内表面几毫米到几十毫米的薄层中,随时间的增加,温度分布趋于均匀。同时温度场分布受炮孔半径影响,当外径不变而炮孔半径减小时,相应各点的温度降低,但在同一时刻下的温度梯度趋陡。计算结果为高能燃烧剂的设计与应用提供了一定的理论参考。

关键词: 热学 , 高能燃烧剂 , 热冲击 , 温度场 , 解析解

Abstract: Based on the heat conduction theory of thick wall cylinder, the distribution of temperature field in rocks acted by high energy burners was calculated. The analytic solution of the instantaneous temperature field was deduced by Laplace transform and the introduced unit pulse function into the boundary condition to simulate the instantaneous shock characterisitc of high energy burners, the tem?perature field calculation was completed by the solution. The calculation results show that after the heat shock of high energy burners, the temperature field in rocks is distributed in the thin layer with a distance of several to tens of millimeters from the inner surface of a hole, the distribution of tempera?ture field tends to uniform with time, and the temperature field is affected by the radius of hole, 1.e. at constant outer radius, the smaller the hole radius is, the lower the temperature at the same point is, and the steeper the temperature gradient gets at the same time. The results provide a certain theoretic guidance for the design and application of high energy burners.

Key words: thermology , high energy burner , heat shock , temperature field , analytic solution

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