摘要
基于Fick扩散方程,建立了煤气储罐瞬间完全泄漏的无风情况下的动态扩散模型.根据气体储罐形状为圆柱,确定了介质瞬间完全泄漏后模型的初始条件和边界条件,然后通过坐标变换和傅立叶变换和适用于圆柱(Bessel)函数的Hankel变换,求出了此条件下扩散方程的解析解.根据风力对扩散过程的影响,在无风扩散方程的基础上建立了有风条件下的扩散模型并求取了解析解,然后以一50000m3(r=19m,h=40m)煤气储罐完全破裂后的气体扩散过程为例进行了模拟,模拟结果验证了模型的有效性.
This paper constructed a universal dynamic model with the help of Fick diffusion equations to simulate the dynamic dispersion when a gas container explodes and all gas leaks out immediately without wind. As the gas container is shaped cylindrically, its boundary and initial conditions are found out. The differential equation is solved after a series of coordinate transformation and Fourier and Hankel integral transformations. The diffusion model without wind is extended to the condition with wind and the extended model is also solved. The diffusion of the gas leakage from an exploded container with 50 000 m^3（r=19 m, h=40 m） is simulated.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2006年第4期42-44,共3页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
关键词
煤气储罐
泄漏
动态模型
贝塞尔函数
仿真
gas container
diffusion
dynamic model
Bessel function
simulation
