On Drag of Circular Cylinder Suspended in uniform viscous Flow -Application to Tension Thread Flow Meter-

Authors

  • Ai Nakagawa and Takeo Academy of Hakusan, 2-14, Meiko, Hakusan 920-2152 Japan
  • R. M. Nakagawa Academy of Hakusan, 2-14, Meiko, Hakusan 920-2152 Japan

Keywords:

Turbulence, Oscillatory Flow, Flowmeter, Viscous Flow, Cylinder, Drag

Abstract

This paper is concerned with an exact solution of a circular cylinder in uniform viscous flow and its application to a flowmeter named Tension Thread Flow Meter. An analytical procedure to lead the exact solution for a drag of a circular cylinder suspended in a uniform viscous flow has been demonstrated, and it is found that the drag is proportional to the square of velocity weakly rather than the linear dependency on the velocity, as Stokes law for a sphere. When the Reynolds number Re < 0.4, the relation between the drag coefficient Cf and Re, as well as the drag of a circular cylinder in uniform flow and Re, have been derived and presented as simple analytical expressions. The theoretical results on the drag of a circular cylinder in a uniform flow have been applied directly to the prototype flowmeter, and to the velocity calibration for the selected scales of the thread, and their arrangements together with the velocity range, to be used. A prototype flowmeter has been manufactured and then deployed successfully to measure three velocity components in oscillatory waves. It is suggested that the potential of the flowmeter is almost limitless so that it is strongly recommended to develop the commercial version for general users, who are interested in measuring boundary layer flow, oscillatory wave, and turbulence

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References

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Published

2020-08-30

How to Cite

Ai Nakagawa and Takeo, & R. M. Nakagawa. (2020). On Drag of Circular Cylinder Suspended in uniform viscous Flow -Application to Tension Thread Flow Meter-. To Physics Journal, 6, 44-57. Retrieved from https://purkh.com/index.php/tophy/article/view/873

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Section

Research Articles