本文用Hankel积分变换的方法分别给出了,二阶流体和Maxwell流体在环形套管内不定常旋转运动方程的解析解。据此可以分析旋转速度和切应力分布的变化特征,为占井工程设计提供理论依据。
Abstract
This paper presents analytical solutions to the partial differential equation for unsteady rotatory flow of viscoelastic fluid in annular pipes by using the integral transform method. The results can be used to analyse the behavior of rotatory velocity and shear stress unsteady flow of non-Newtonian fluids in annular pipes and to provide a theoretical base for drilling engineering design.
关键词
环空套管 /
粘弹性流体 /
旋转流
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Key words
Annular pipes /
viscoelastic fluids /
rotatory flow
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参考文献
[1] 刘慈群,黄军旗.非牛顿流体管内不定常流的解析解,应用数学和力学,1989, 10(11):939-946.
[2] 朱文辉,刘慈群.Maxwell流体环管不定常流动解析解,力学学报,1992, 24(1):116-121.
[3] 韩式方.非牛顿流体连续介质力学,成都:四川科学技术出版社,1988.
[4] Sheddon, I. Fourier Transforms, New York Toroto London, 1951.
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脚注
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基金
国家自然科学基金
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