双筒粘度计中的偏心效应*
The Eccentric Effect of a Coaxial Viscometer
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摘要: 本文用摄动法研究了双筒式粘度计的内外筒不同心时对于测量粘度所引起的误差。算例表明,若问题的特征雷诺数越小,或者两筒的隙宽越窄,偏心所引起的测量误差越大,对于通常双筒粘度计的工作参数,只要两筒偏心距不超过两筒正常隙宽的1/10所引起的测量误差是不大的。
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关键词:
- 双筒粘度计 /
- 粘度测量 /
- 偏心效应 /
- Navier-Stokes方程 /
- 摄动法
Abstract: This paper studies the effect of the eccentricity between the inner bob and theouter cup in a coaxial viscometer on the measurements of the viscosity by using aperturbation scheme, Our numerical examples demonstrate that the error incurred bythe eccentricity would become larger as the characteristic Reynolds number decreasesor as the gap width between the bob and the cup gets narrower. However, such errorsmay not be signifcant if the eccentric distance is not larger than 1/10 of the gapwidth for the usual working range of a coaxial viscometer. -
[1] 严宗毅、魏茂元、于天文,《血液流变学—基础、检测、应用》,黑龙江科学技术出版社(1993), 13. [2] 吴望一,《流体力学》.下册,北京大学出版社(1983), 213, [3] 李平、严宗毅、庄逢源,双筒粘度计中牛顿流体的振荡解,应用数学和力学,14(6) (1993),535-541. -
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