APPLICATION OF SHOOTING METHODS FOR TWO-POINT BOUNDARY VALUE PROBLEMS OF ORDINARY DIFFERENTIAL EQUATIONS WITH PARAMETERS IN HYDRODYNAMICS

In this paper,first we introduce the shooting method (including the method ofadjoints and the method of quasilinearization) for two-point boundary value problems ofordinary differential equations with parameters.and give out an example of solvinghydrodynamic lubrication equation by using the shooting method.The calculated resultsare satisfactory.     

带参数微分方程边值问题的追赶法在流体力学中的应用

本文首先介绍带参数微分方程边值问题的追赶法(包括共轭方法及拟线性化方法),然后用追赶法计算流体力学润滑方程定解问题的一个实例.其数值结果比较满意.     

煤粉与气体混合喷射两相流动的数值计算

本文用Euler-Lagrange型方程描述煤粉与气体混合喷射轴对称不定常两相流动,采用差分法计算了煤粉在气体场中不同时刻的位置、速度以及运动轨迹。以计算粒子模拟实际的煤粉粒子群并逐个编号。粒径按给定的煤粉粒度分布随机取值,每个计算粒子的运动状态各不相同。考虑气体场的湍流影响以及粒子之间的阻力耦合作用,采用分步显式差分格式进行计算。计算结果是合理的。并对无喷气时油滴喷射问题作了计算,与实验结果吻合较好。本文的计算方法可以推广到一般包含有弥散粒子或液滴两相流动的计算。     

磁流体动力轴承

磁流体动力轴承的研究开始于1961年.目前研究工作进行得比较多的有美国、苏联、日本等.这种轴承适用于高温的工作条件(如800℃以上)或液态金属的工作环境,如核反应堆和核动力的涡轮发电机等.由于在高温条件下,普通的轴承润滑剂会汽化或变为不稳定,而液态金属(如钠、锂、钠钾共晶 ...     

Application of shooting methods for two-point boundary value problems of ordinary differential equations with parameters in hydrodynamics

In this paper. first we introduce the shooting method (including the method of adjoints and the method of quasilinearization) for two-point boundary value problems of ordinary differential equations with parameters, and give out an example of solving hydrodynamic lubrication equation by using the shooting method. The calculated results are satisfactory.