| 摘要: |
| 利用待定系数法对牛顿流体在内管做行星运动的环空中流动的运动方程进行了变换，得到了给定流量条件下 牛顿流体在内管做行星运动的环空中流动的压力梯度计算公式。采用有限差分法对水在内管做行星运动的环空中 流动的压力梯度进行了数值计算。结果表明,压力梯度随环空偏心度的增大而减小,随流量的增大而增大。 |
| 关键词: 牛顿流体 行星运动 环空 压力梯度 待定系数法 |
| DOI： |
| 分类号: |
| 基金项目:国家自然科学基金项目< 50374018 );黑龙江省自然科学基金项目(A0201) |
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| Pressure gradient of Newtonian fluid flow in annulus with inner cylinder executing planetary motion |
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CUI Hai-qing1,ZHANG Shu-yun1,XIU De-yan2,CAI Meng1
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(1. Key Laboratory for Enhamed Oil and Gas Recovery, Ministry of Education, Daqing Petroleum Institute, Daqing 163318;2.Exploration and Development Research Institute of Jidong Oilfield，PetroChina, Tangshan 063000 f China)
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| Abstract: |
| The kinematic equations of the flow of Newtonian fluid in annulus with the inner cylinder executing a planetary motion were transformed using undetermined coefficient method, and the calculation formula of pressure gradient of the flow was obtained with the given flow rate. Taking water as an example, the pressure gradient was numerically calculated by finite difference method. The calculation results show that the pressure gradient decreases with the annular eccentricity increasing and increases with the flow rate increasing. |
| Key words: Newtonian fluid planetary motion annulus pressure gradient undetermined coefficient method |
