Research Papers: Fundamental Issues and Canonical Flows

Critical Reynolds Number in Constant-Acceleration Pipe Flow From an Initial Steady Laminar State

[+] Author and Article Information
Charles W. Knisely

Department of Mechanical Engineering, Bucknell University, Lewisburg, PA 17837knisely@bucknell.edu

Kazuyoshi Nishihara

Graduate School of Engineering, Osaka Electro-Communication University, Osaka 592-8530, Japan nisihara@isc.osaka.ac.jp

Manabu Iguchi

Graduate School of Engineering, Hokkaido University, Kita-ku, Sapporo 060-8628, Japangaku@eng.hokudai.ac.jp

J. Fluids Eng 132(9), 091202 (Sep 10, 2010) (4 pages) doi:10.1115/1.4002358 History: Received August 18, 2009; Revised July 28, 2010; Published September 10, 2010; Online September 10, 2010

The transition to turbulence in a constant-acceleration pipe flow from an initial laminar state was investigated in a custom-made apparatus permitting visual access to the water flow in the pipe. The apparatus allowed both laser Doppler velocimetry measurements and flow visualization using a tracer. The experiment was carried out by accelerating the flow from a steady laminar state to a steady turbulent state. The relation between the critical Reynolds number for transition to turbulence and the acceleration was found to be similar to that in a constant-acceleration pipe flow started from rest. In addition, with increased acceleration, the turbulent transition was found to be delayed to higher Reynolds numbers using flow visualization with simultaneous laser Doppler velocimetry measurements.

Copyright © 2010 by American Society of Mechanical Engineers
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Figure 1

Experimental apparatus

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Figure 3

Laminar flow: (a) visualization and (b) velocity measurements

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Figure 4

Turbulent flow: (a) visualization and (b) velocity measurements

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Figure 5

Time history of mean velocity and RMS fluctuations in an accelerating flow

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Figure 6

Photos of accelerating flow

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Figure 7

Correlation of critical Reynolds number as a function of flow acceleration

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Figure 8

Critical Reynolds number as a function of the flow acceleration (from steady laminar flow)



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