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摘要: 从N-S方程出发，得到了轴对称异型断面管纯剪切流动速度分布的一般解，进而推出了纯剪切流动有限宽度矩形断面管的速度分布和流量计算公式，证明了库特剪切流是有限宽度矩形断面管当宽度趋向无穷大时的一种特例。并对库特剪切流流量的计算误差进行了分析，给出了该公式的适用范围，同时对有限宽度矩形断面管剪切流公式进行了曲线拟合，得到了便于工程使用的流量计算公式。Abstract: An exact solution of velocity distribution for Couette shear flow in a non circular conduit with axial symmetry section is obtained in this paper. From the solution, velocity and flow rate for the rectangular section conduit with finite width are obtained, and it is concluded that Couette shear flow is just a special example when the width is just infinite in the rectangular section conduit flow. Further, we analyzed the error of the solution, and the range in which the formula is suitable is given. An appropriate formula which is easy to use in engineering was obtained based on the results.
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Key words:
- Couette shear flow /
- exact solution /
- velocity distribution
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吴望一. 流体力学(下) [M]. 北京: 北京大学出版社, 1983: 249-252. 赵学端, 廖其奠. 粘性流体力学 [M]. 北京: 机械工业出版社, 1983: 56-60. 生井武文, 井上雅弘. 粘性流体力学 [M]. 伊增欣译. 北京: 海洋出版社, 1984. 许耀铭, 韩德才. 螺旋阻尼槽型静压支承滑靴的设计理论与实验研究 [J]. 机床与液压, 1983, (3): 6-10. 韩德才. 一边滑动下等边三角形断面管的速度分布 [J]. 东北重机学院学报, 1988, 12(1): 49-54. -
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