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封闭旋转圆筒内粘性气体流动的渐近分析
AN ASYMPTOTIC ANALYSIS OF THE FLOW FIELD OF VISCOUS GAS IN A CLOSED CYLINDER
【摘要】 本文用渐近分析方法研究了封闭旋转圆筒内粘性气体的流动,提出了一种简单的解析计算方法。整个流场分为六个区,给出了各区问题的提法。求解了Ekman层和中心区流场,引入驱动函数和扭转函数。求解Stewartson层流场时,又把问题分为三类:E1/3层内部热循环、E1/3层窄缝进料和E1/4层温度扭变问题。较仔细地讨论了Stewartson层与拐角和中心区的匹配。本文算例与数值计算结果符合得较好。
【Abstract】 The flow field of viscous gas in a closed rotating cylinder with end cap and side wall drives is investigated by asymptotic analysis.The flow field is divided into six regions and the solution in each region satisfies the matching conditions on the boarders between any two regions.This paper presents a simpler procedure to calculate the flow field,two examples are given,which showed that the results of present analysis are in reasonable agreement with numerical simulation.
- 【文献出处】 空气动力学学报 ,Acta Aerodynamica Sinica , 编辑部邮箱 ,1983年03期
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